Search NASA⌕ Search

SEARCH · Search NASA

Results for “RECTANGULAR”

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

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

At least 217 records · Page 12

Materials Data on Li2CoNi3O8 by Materials Project

Li2CoNi3O8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.92–1.97 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.93–1.97 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.93–1.98 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.92–1.97 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.93–1.97 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.93–1.98 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.93–1.97 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.92–1.97 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.93 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.93 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.93 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.93 Å. There are twelve inequivalent Ni+3.33+ sites. In the first Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.91 Å. In the second Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.91–2.05 Å. In the third Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.86–1.91 Å. In the fourth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.86–1.91 Å. In the fifth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.92–2.06 Å. In the sixth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.91 Å. In the seventh Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.91 Å. In the eighth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.92–2.06 Å. In the ninth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.86–1.91 Å. In the tenth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.86–1.91 Å. In the eleventh Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.91–2.05 Å. In the twelfth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.88–1.91 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted OLiCoNi2 trigonal pyramids that share corners with two OLiCoNi2 tetrahedra, corners with three OLiCoNi2 trigonal pyramids, an edgeedge with one OLiNi3 tetrahedra, and an edgeedge with one OLiCoNi2 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiNi3 tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 tetrahedra. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the eighth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted OLiCoNi2 trigonal pyramids that share corners with two OLiNi3 tetrahedra, corners with four OLiCoNi2 trigonal pyramids, and an edgeedge with one OLiCoNi2 tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 tetrahedra. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the sixteenth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the twentieth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 tetrahedra. In the twenty-first O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted OLiCoNi2 trigonal pyramids that share corners with two OLiCoNi2 tetrahedra, corners with three OLiCoNi2 trigonal pyramids, an edgeedge with one OLiNi3 tetrahedra, and an edgeedge with one OLiCoNi2 trigonal pyramid. In the twenty-ninth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 tetrahedra. In the thirtieth O2- site, O2- is bonded to one Li1+ and three Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiNi3 tetrahedra. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the thirty-second O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted OLiCoNi2 trigonal pyramids that share corners with two OLiCoNi2 tetrahedra, corn

36 MATERIALS SCIENCE↗

Materials Data on Mg(FeO2)2 by Materials Project

MgFe2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Mg–O bond distances ranging from 1.99–2.02 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.11 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.11 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.11 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent FeO6 octahedra. There are five shorter (2.09 Å) and one longer (2.10 Å) Mg–O bond lengths. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.10 Å. There are nine inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four FeO4 tetrahedra, edges with three MgO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Fe–O bond distances ranging from 1.91–1.97 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.07 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Fe–O bond distances ranging from 1.91–1.96 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three MgO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.10 Å. In the seventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There is two shorter (1.91 Å) and two longer (1.97 Å) Fe–O bond length. In the eighth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There is two shorter (1.91 Å) and two longer (1.97 Å) Fe–O bond length. In the ninth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There is three shorter (1.93 Å) and one longer (1.98 Å) Fe–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the thirteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Fe3+ atoms to form distorted corner-sharing OMg2Fe2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the sixteenth O2- site, O2- is bonded to four Fe3+ atoms to form distorted OFe4 trigonal pyramids that share corners with four OMg2Fe2 trigonal pyramids and edges with three OMgFe3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three Fe3+ atoms to form distorted OMgFe3 trigonal pyramids that share corners with four OMg2Fe2 trigonal pyramids and edges with three OFe4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three Fe3+ atoms to form distorted OMgFe3 trigonal pyramids that share corners with three equivalent OMg2Fe2 trigonal pyramids and edges with three OFe4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li10Mg7Cl24 by Materials Project

Li10Mg7Cl24 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with three LiCl4 tetrahedra and edges with six MgCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.53–2.64 Å. In the second Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MgCl6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Li–Cl bond distances ranging from 2.37–2.45 Å. In the third Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with four LiCl4 tetrahedra, an edgeedge with one LiCl6 octahedra, and edges with five MgCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.54–2.61 Å. In the fourth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MgCl6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are two shorter (2.38 Å) and two longer (2.45 Å) Li–Cl bond lengths. In the fifth Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four MgCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.56–2.63 Å. In the sixth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with three LiCl6 octahedra and corners with nine MgCl6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Li–Cl bond distances ranging from 2.38–2.49 Å. In the seventh Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four equivalent MgCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.56–2.60 Å. In the eighth Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four MgCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.56–2.60 Å. In the ninth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MgCl6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Li–Cl bond distances ranging from 2.37–2.45 Å. In the tenth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MgCl6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Li–Cl bond distances ranging from 2.38–2.46 Å. In the eleventh Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four equivalent MgCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.56–2.60 Å. In the twelfth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MgCl6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Li–Cl bond distances ranging from 2.36–2.44 Å. In the thirteenth Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four MgCl6 octahedra. There are four shorter (2.56 Å) and two longer (2.60 Å) Li–Cl bond lengths. In the fourteenth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MgCl6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are two shorter (2.38 Å) and two longer (2.45 Å) Li–Cl bond lengths. In the fifteenth Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four equivalent MgCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.56–2.60 Å. In the sixteenth Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four MgCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.53–2.65 Å. In the seventeenth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MgCl6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are two shorter (2.37 Å) and two longer (2.45 Å) Li–Cl bond lengths. In the eighteenth Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with five LiCl4 tetrahedra, an edgeedge with one LiCl6 octahedra, and edges with five MgCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.52–2.66 Å. In the nineteenth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MgCl6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Li–Cl bond distances ranging from 2.37–2.50 Å. In the twentieth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with three LiCl6 octahedra and corners with nine MgCl6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are a spread of Li–Cl bond distances ranging from 2.39–2.50 Å. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six Cl1- atoms to form MgCl6 octahedra that share corners with three LiCl4 tetrahedra, edges with two equivalent LiCl6 octahedra, and edges with four MgCl6 octahedra. There are a spread of Mg–Cl bond distances ranging from 2.47–2.61 Å. In the second Mg2+ site, Mg2+ is bonded to six Cl1- atoms to form MgCl6 octahedra that share corners with four LiCl4 tetrahedra, edges with three LiCl6 octahedra, and edges with three MgCl6 octahedra. There are a spread of Mg–Cl bond distances ranging from 2.48–2.56 Å. In the third Mg2+ site, Mg2+ is bonded to six Cl1- atoms to form MgCl6 octahedra that share corners with three equivalent LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four MgCl6 octahedra. There are a spread of Mg–Cl bond distances ranging from 2.46–2.64 Å. In the fourth Mg2+ site, Mg2+ is bonded to six Cl1- atoms to form MgCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two equivalent MgCl6 octahedra, and edges with four LiCl6 octahedra. There are two shorter (2.49 Å) and four longer (2.55 Å) Mg–Cl bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six Cl1- atoms to form MgCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two equivalent MgCl6 octahedra, and edges with four LiCl6 octahedra. There are two shorter (2.49 Å) and four longer (2.55 Å) Mg–Cl bond lengths. In the sixth Mg2+ site, Mg2+ is bonded to six Cl1- atoms to form MgCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two equivalent MgCl6 octahedra, and edges with four LiCl6 octahedra. There are a spread of Mg–Cl bond distances ranging from 2.49–2.56 Å. In the seventh Mg2+ site, Mg2+ is bonded to six Cl1- atoms to form MgCl6 octahedra that share corners with five LiCl4 tetrahedra, edges with three LiCl6 octahedra, and edges with three MgCl6 octahedra. There are a spread of Mg–Cl bond distances ranging from 2.47–2.61 Å. In the eighth Mg2+ site, Mg2+ is bonded to six Cl1- atoms to form MgCl6 octahedra that share corners with three equivalent LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four MgCl6 octahedra. There are a spread of Mg–Cl bond distances ranging from 2.46–2.62 Å. There are thirty-six inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to three Mg2+ atoms. In the second Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to one Li1+ and two equivalent Mg2+ atoms. In the third Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to one Li1+ and two Mg2+ atoms. In the fourth Cl1- site, Cl1- is bonded to two Li1+ and two Mg2+ atoms to form a mixture of distorted corner and edge-sharing ClLi2Mg2 trigonal pyramids. In the fifth Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to three Mg2+ atoms. In the sixth Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to one Li1+ and two Mg2+ atoms. In the seventh Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the eighth Cl1- site, Cl1- is bonded to two Li1+ and two equivalent Mg2+ atoms to form a mixture of distorted corner and edge-sharing ClLi2Mg2 trigonal pyramids. In the ninth Cl1- site, Cl1- is bonded to one Li1+ and three Mg2+ atoms to form a mixture of distorted corner and edge-sharing ClLiMg3 trigonal pyramids. In the tenth Cl1- site, Cl1- is bonded to three Li1+ and one Mg2+ atom to form a mixture of distorted corner and edge-sharing ClLi3Mg trigonal pyramids. In the eleventh Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the twelfth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the thirteenth Cl1- site, Cl1- is bonded to three Li1+ and one Mg2+ atom to form a mixture of distorted corner and edge-sharing ClLi3Mg trigonal pyramids. In the fourteenth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the fifteenth Cl1- site, Cl1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the sixteenth Cl1- site, Cl1- is bonded to three Li1+ and one Mg2+ atom to form a mixture of distorted corner and edge-sharing ClLi3Mg trigonal pyramids. In the seventeenth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the eighteenth Cl1- site, Cl1- is bonded to three Li1+ and one Mg2+ atom to form a mixture of distorted corner and edge-sharing ClLi3Mg trigonal pyramids. In the nineteenth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the twentieth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the twenty-first Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the twenty-second Cl1- site, Cl1- is bonded to three Li1+ and one Mg2+ atom to form a mixture of distorted corner and edge-sharing ClLi3Mg trigonal pyramids. In the twenty-third Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the twenty-fourth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the twenty-fifth Cl1- site, Cl1- is bonded to three Li1+ and one Mg2+ atom to form a mixture of distorted corner and edge-sharing ClLi3Mg trigonal pyramids. In the twenty-sixth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the twenty-seventh Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mg2+ atoms. In the twenty-eighth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one Mg2+ atom. In the twenty-ninth

36 MATERIALS SCIENCE↗

Materials Data on MgAl2O4 by Materials Project

MgAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.93 Å) and one longer (2.00 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There is three shorter (1.94 Å) and one longer (1.98 Å) Mg–O bond length. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.08 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.09 Å. In the fifth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Mg–O bond distances ranging from 1.97–1.99 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.97–1.99 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.02 Å) and three longer (2.09 Å) Mg–O bond lengths. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Mg–O bond distances ranging from 1.94–2.00 Å. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.06 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.05 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Al–O bond distances ranging from 1.80–1.85 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.05 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Al–O bond distances ranging from 1.83–1.86 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.02 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.99 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.99 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There is two shorter (1.89 Å) and four longer (1.95 Å) Al–O bond length. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There is three shorter (1.82 Å) and one longer (1.88 Å) Al–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the fourth O2- site, O2- is bonded to two Mg2+ and two Al3+ atoms to form distorted OMg2Al2 trigonal pyramids that share corners with four OMgAl3 tetrahedra, corners with two OMg2Al2 trigonal pyramids, and edges with two OMg2Al2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the ninth O2- site, O2- is bonded to two Mg2+ and two equivalent Al3+ atoms to form distorted OMg2Al2 trigonal pyramids that share corners with four OMgAl3 tetrahedra, corners with two equivalent OMg2Al2 trigonal pyramids, and edges with two equivalent OMg2Al2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 tetrahedra that share corners with two equivalent OMgAl3 tetrahedra, corners with four OMg2Al2 trigonal pyramids, and edges with two equivalent OMgAl3 tetrahedra. In the twelfth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 tetrahedra that share corners with two OMgAl3 tetrahedra, corners with four OMg2Al2 trigonal pyramids, and edges with two OMgAl3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Al3+ atoms to form distorted corner-sharing OMg2Al2 tetrahedra. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three OMg2Al2 tetrahedra, corners with three OMgAl3 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three OMg2Al2 tetrahedra and corners with three OMgAl3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the nineteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the twenty-first O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three OMg2Al2 tetrahedra, corners with three OMgAl3 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form corner-sharing OMgAl3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Al34O56 by Materials Project

Mg5Al34O56 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–71°. There are a spread of Mg–O bond distances ranging from 1.86–2.02 Å. In the second Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Mg–O bond distances ranging from 1.87–1.98 Å. In the third Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Mg–O bond distances ranging from 1.93–1.96 Å. In the fourth Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Mg–O bond distances ranging from 1.92–2.01 Å. In the fifth Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Mg–O bond distances ranging from 1.89–2.27 Å. There are twenty-seven inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form corner-sharing AlO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Al–O bond distances ranging from 1.72–2.12 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra, corners with two equivalent AlO4 trigonal pyramids, and edges with three AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.12 Å. In the third Al site, Al is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Al–O bond distances ranging from 1.72–2.35 Å. In the fourth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of Al–O bond distances ranging from 1.78–1.86 Å. In the fifth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.03 Å. In the sixth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.14 Å. In the seventh Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Al–O bond distances ranging from 1.78–1.85 Å. In the eighth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.11 Å. In the ninth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–2.04 Å. In the tenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Al–O bond distances ranging from 1.75–1.93 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.00 Å. In the twelfth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.00 Å. In the thirteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.12 Å. In the fourteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is three shorter (1.81 Å) and one longer (1.87 Å) Al–O bond length. In the fifteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.07 Å. In the sixteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.07 Å. In the seventeenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.06 Å. In the eighteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Al–O bond distances ranging from 1.75–1.99 Å. In the nineteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.99 Å. In the twentieth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There is three shorter (1.93 Å) and three longer (1.94 Å) Al–O bond length. In the twenty-first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.99 Å. In the twenty-second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO4 trigonal pyramid, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.05 Å. In the twenty-third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO4 trigonal pyramid, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.04 Å. In the twenty-fourth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.02 Å. In the twenty-fifth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Al–O bond distances ranging from 1.83–1.90 Å. In the twenty-sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Al–O bond distances ranging from 1.80–1.89 Å. In the twenty-seventh Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Al–O bond distances ranging from 1.69–1.96 Å. There are forty-two inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the second O site, O is bonded to four Al atoms to form a mixture of distorted edge and corner-sharing OAl4 tetrahedra. In the third O site, O is bonded to four Al atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifth O site, O is bonded in a 3-coordinate geometry to three Al atoms. In the sixth O site, O is bonded in a trigonal non-coplanar geometry to three Al atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eighth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to four Al atoms. In the tenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the seventeenth O site, O is bonded in a trigonal planar geometry to one Mg and two equivalent Al atoms. In the eighteenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twentieth O site, O is bonded to one Mg and three Al atoms to form distorted OMgAl3 trigonal pyramids that share corners with two equivalent OAl4 tetrahedra, corners with two OMgAl3 trigonal pyramids, and edges with two OMgAl3 trigonal pyramids. In the twenty-first O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-third O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twenty-fourth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-fifth O site, O is bonded to one Mg and three Al atoms to form distorted OMgAl3 trigonal pyramids that share corners with two equivalent OAl4 tetrahedra, corners with two equivalent OMgAl3 trigonal pyramids, and edges with two equivalent OMgAl3 trigonal pyramids. In the twenty-sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Mg and three Al atoms. In the twenty-ninth O site, O is bonded to four Al atoms to form distorted corner-sharing OAl4 tetrahedra. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to one Mg and three Al atoms. In the thirty-first O site, O is bonded to one Mg and three Al atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the thirty-second O site, O is bonded to one Mg and three Al atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the thirty-third O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirty-fourth O site, O is bonded in a

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Cl10 by Materials Project

Li4Mn3Cl10 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with three LiCl4 tetrahedra and edges with six MnCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.55–2.63 Å. In the second Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MnCl6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Li–Cl bond distances ranging from 2.39–2.45 Å. In the third Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with four LiCl4 tetrahedra, an edgeedge with one LiCl6 octahedra, and edges with five MnCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.58–2.60 Å. In the fourth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with three LiCl6 octahedra and corners with nine MnCl6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Li–Cl bond distances ranging from 2.40–2.47 Å. In the fifth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MnCl6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are two shorter (2.39 Å) and two longer (2.45 Å) Li–Cl bond lengths. In the sixth Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four MnCl6 octahedra. There are four shorter (2.58 Å) and two longer (2.61 Å) Li–Cl bond lengths. In the seventh Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four equivalent MnCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.57–2.60 Å. In the eighth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MnCl6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Li–Cl bond distances ranging from 2.39–2.46 Å. In the ninth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MnCl6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Li–Cl bond distances ranging from 2.37–2.43 Å. In the tenth Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four MnCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.57–2.61 Å. In the eleventh Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four equivalent MnCl6 octahedra. There are two shorter (2.57 Å) and four longer (2.59 Å) Li–Cl bond lengths. In the twelfth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MnCl6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Li–Cl bond distances ranging from 2.39–2.45 Å. In the thirteenth Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four MnCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.55–2.63 Å. In the fourteenth Li1+ site, Li1+ is bonded to six Cl1- atoms to form LiCl6 octahedra that share corners with five LiCl4 tetrahedra, an edgeedge with one LiCl6 octahedra, and edges with five MnCl6 octahedra. There are a spread of Li–Cl bond distances ranging from 2.54–2.64 Å. In the fifteenth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with six LiCl6 octahedra and corners with six MnCl6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Li–Cl bond distances ranging from 2.39–2.48 Å. In the sixteenth Li1+ site, Li1+ is bonded to four Cl1- atoms to form LiCl4 tetrahedra that share corners with three LiCl6 octahedra and corners with nine MnCl6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Li–Cl bond distances ranging from 2.40–2.48 Å. There are seven inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six Cl1- atoms to form MnCl6 octahedra that share corners with three equivalent LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four MnCl6 octahedra. There are a spread of Mn–Cl bond distances ranging from 2.48–2.64 Å. In the second Mn2+ site, Mn2+ is bonded to six Cl1- atoms to form MnCl6 octahedra that share corners with four LiCl4 tetrahedra, edges with three LiCl6 octahedra, and edges with three MnCl6 octahedra. There are a spread of Mn–Cl bond distances ranging from 2.48–2.59 Å. In the third Mn2+ site, Mn2+ is bonded to six Cl1- atoms to form MnCl6 octahedra that share corners with three equivalent LiCl4 tetrahedra, edges with two LiCl6 octahedra, and edges with four MnCl6 octahedra. There are a spread of Mn–Cl bond distances ranging from 2.47–2.65 Å. In the fourth Mn2+ site, Mn2+ is bonded to six Cl1- atoms to form MnCl6 octahedra that share corners with three LiCl4 tetrahedra, edges with two equivalent LiCl6 octahedra, and edges with four MnCl6 octahedra. There are a spread of Mn–Cl bond distances ranging from 2.48–2.64 Å. In the fifth Mn2+ site, Mn2+ is bonded to six Cl1- atoms to form MnCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two equivalent MnCl6 octahedra, and edges with four LiCl6 octahedra. There are two shorter (2.50 Å) and four longer (2.58 Å) Mn–Cl bond lengths. In the sixth Mn2+ site, Mn2+ is bonded to six Cl1- atoms to form MnCl6 octahedra that share corners with six LiCl4 tetrahedra, edges with two equivalent MnCl6 octahedra, and edges with four LiCl6 octahedra. There are a spread of Mn–Cl bond distances ranging from 2.50–2.58 Å. In the seventh Mn2+ site, Mn2+ is bonded to six Cl1- atoms to form MnCl6 octahedra that share corners with five LiCl4 tetrahedra, edges with three LiCl6 octahedra, and edges with three MnCl6 octahedra. There are a spread of Mn–Cl bond distances ranging from 2.49–2.64 Å. There are thirty inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to three Mn2+ atoms. In the second Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to one Li1+ and two Mn2+ atoms. In the third Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to one Li1+ and two equivalent Mn2+ atoms. In the fourth Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to three Mn2+ atoms. In the fifth Cl1- site, Cl1- is bonded to two Li1+ and two Mn2+ atoms to form distorted ClLi2Mn2 trigonal pyramids that share corners with two ClLiMn3 trigonal pyramids and edges with three ClLi2Mn2 trigonal pyramids. In the sixth Cl1- site, Cl1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two equivalent Mn2+ atoms. In the seventh Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to one Li1+ and two Mn2+ atoms. In the eighth Cl1- site, Cl1- is bonded to two Li1+ and two equivalent Mn2+ atoms to form distorted ClLi2Mn2 trigonal pyramids that share corners with three ClLi2Mn2 trigonal pyramids and edges with three ClLiMn3 trigonal pyramids. In the ninth Cl1- site, Cl1- is bonded to one Li1+ and three Mn2+ atoms to form a mixture of distorted edge and corner-sharing ClLiMn3 trigonal pyramids. In the tenth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mn2+ atoms. In the eleventh Cl1- site, Cl1- is bonded to three Li1+ and one Mn2+ atom to form a mixture of distorted edge and corner-sharing ClLi3Mn trigonal pyramids. In the twelfth Cl1- site, Cl1- is bonded to three Li1+ and one Mn2+ atom to form a mixture of distorted edge and corner-sharing ClLi3Mn trigonal pyramids. In the thirteenth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mn2+ atoms. In the fourteenth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mn2+ atoms. In the fifteenth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mn2+ atoms. In the sixteenth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mn2+ atoms. In the seventeenth Cl1- site, Cl1- is bonded to three Li1+ and one Mn2+ atom to form a mixture of distorted edge and corner-sharing ClLi3Mn trigonal pyramids. In the eighteenth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mn2+ atoms. In the nineteenth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mn2+ atoms. In the twentieth Cl1- site, Cl1- is bonded to three Li1+ and one Mn2+ atom to form a mixture of distorted edge and corner-sharing ClLi3Mn trigonal pyramids. In the twenty-first Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mn2+ atoms. In the twenty-second Cl1- site, Cl1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two equivalent Mn2+ atoms. In the twenty-third Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one Mn2+ atom. In the twenty-fourth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mn2+ atoms. In the twenty-fifth Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to one Li1+ and two equivalent Mn2+ atoms. In the twenty-sixth Cl1- site, Cl1- is bonded in a rectangular see-saw-like geometry to three Li1+ and one Mn2+ atom. In the twenty-seventh Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Mn2+ atoms. In the twenty-eighth Cl1- site, Cl1- is bonded to two Li1+ and two Mn2+ atoms to form a mixture of distorted edge and corner-sharing ClLi2Mn2 trigonal pyramids. In the twenty-ninth Cl1- site, Cl1- is bonded to two Li1+ and two equivalent Mn2+ atoms to form distorted edge-sharing ClLi2Mn2 trigonal pyramids. In the thirtieth Cl1- site, Cl1- is bonded to one Li1+ and three Mn2+ atoms to form a mixture of distorted edge and corner-sharing ClLiMn3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Sr10Cu5Bi10O29 by Materials Project

Bi10Sr10Cu5O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–2.97 Å. In the second Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–2.98 Å. In the third Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.63–2.98 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.03 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.48–2.94 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.63–2.95 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.61–2.97 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.94 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.17 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.94 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.86 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.64–2.94 Å. In the thirteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–3.06 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–2.97 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.92 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.60–2.96 Å. In the seventeenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.60–2.98 Å. In the eighteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–3.23 Å. In the nineteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–3.16 Å. In the twentieth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.96 Å. There are ten inequivalent Cu+1.60+ sites. In the first Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two equivalent CuO6 octahedra and corners with two equivalent CuO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Cu–O bond distances ranging from 1.92–2.68 Å. In the second Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Cu–O bond distances ranging from 1.92–2.68 Å. In the third Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Cu–O bond distances ranging from 1.92–2.75 Å. In the fourth Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two equivalent CuO6 octahedra and corners with two equivalent CuO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Cu–O bond distances ranging from 1.90–2.69 Å. In the fifth Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Cu–O bond distances ranging from 1.90–2.64 Å. In the sixth Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Cu–O bond distances ranging from 1.90–2.64 Å. In the seventh Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Cu–O bond distances ranging from 1.92–2.64 Å. In the eighth Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Cu–O bond distances ranging from 1.91–2.72 Å. In the ninth Cu+1.60+ site, Cu+1.60+ is bonded to five O2- atoms to form distorted corner-sharing CuO5 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Cu–O bond distances ranging from 1.89–2.69 Å. In the tenth Cu+1.60+ site, Cu+1.60+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.72 Å. There are twenty inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.44 Å. In the second Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.05–2.17 Å. In the third Bi3+ site, Bi3+ is bonded in a water-like geometry to two O2- atoms. There are one shorter (2.13 Å) and one longer (2.21 Å) Bi–O bond lengths. In the fourth Bi3+ site, Bi3+ is bonded in an L-shaped geometry to two O2- atoms. There are one shorter (2.10 Å) and one longer (2.18 Å) Bi–O bond lengths. In the fifth Bi3+ site, Bi3+ is bonded in a single-bond geometry to one O2- atom. The Bi–O bond length is 2.18 Å. In the sixth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.07–2.94 Å. In the seventh Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.82 Å. In the eighth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.67 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.07–2.22 Å. In the tenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.54 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.91 Å. In the twelfth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.06–2.77 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in an L-shaped geometry to two O2- atoms. There are one shorter (2.10 Å) and one longer (2.16 Å) Bi–O bond lengths. In the fourteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.55 Å. In the fifteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.53 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are one shorter (2.06 Å) and two longer (2.16 Å) Bi–O bond lengths. In the seventeenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.72 Å. In the eighteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.80 Å. In the nineteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.83 Å. In the twentieth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.75 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and two Bi3+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to three Sr2+, one Cu+1.60+, and one Bi3+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Sr2+, one Cu+1.60+, and one Bi3+ atom. In the sixth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedral tilt angles are 2°. In the seventh O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the ninth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the tenth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and two Bi3+ atoms. In the fourteenth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the sixteenth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the seventeenth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Sr2+ and three Bi3+ atoms. In the nineteenth O2- site, O2- is bonded to fo

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn13O24 by Materials Project

Li4Mn13O24 is beta indium sulfide-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 twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Li–O bond distances ranging from 1.90–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 2.00–2.09 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. There are thirteen inequivalent Mn+3.38+ sites. In the first Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with three LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. In the second Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There is two shorter (1.94 Å) and four longer (1.96 Å) Mn–O bond length. In the third Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.21 Å. In the fourth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the fifth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO4 tetrahedra, corners with three LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.20 Å. In the sixth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.13 Å. In the seventh Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.02 Å. In the eighth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO4 tetrahedra, corners with three LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.21 Å. In the ninth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the tenth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.15 Å. In the eleventh Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with three LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–1.98 Å. In the twelfth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.12 Å. In the thirteenth Mn+3.38+ site, Mn+3.38+ is bonded to four O2- atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mn–O bond distances ranging from 1.98–2.03 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.38+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+3.38+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.38+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the ninth O2- site, O2- is bonded to one Li1+ and three Mn+3.38+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn+3.38+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.38+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.38+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.38+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.38+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn+3.38+ atoms. In the twenty-first O2- site, O2- is bonded to one Li1+ and three Mn+3.38+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn+3.38+ atoms. In the twenty-third O2- site, O2- is bonded to one Li1+ and three Mn+3.38+ atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn+3.38+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn2CuO4 by Materials Project

CuMn2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fifteen inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are one shorter (2.02 Å) and three longer (2.04 Å) Mn–O bond lengths. In the second Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are one shorter (2.01 Å) and three longer (2.03 Å) Mn–O bond lengths. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.06 Å. In the fourth Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are one shorter (2.01 Å) and three longer (2.03 Å) Mn–O bond lengths. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent MnO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, edges with two CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.10 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.05 Å. In the seventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent MnO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, edges with two CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.10 Å. In the eighth Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Mn–O bond distances ranging from 2.00–2.04 Å. In the ninth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.05 Å. In the tenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent MnO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, edges with two CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.10 Å. In the eleventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with five CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.01–2.09 Å. In the twelfth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent MnO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.12 Å. In the thirteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with five CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.00–2.07 Å. In the fourteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO4 tetrahedra, corners with four CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.04 Å. In the fifteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.10 Å. There are ten inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Cu–O bond distances ranging from 1.96–2.03 Å. In the second Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Cu–O bond distances ranging from 1.96–2.03 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.11 Å. In the fourth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Cu–O bond distances ranging from 1.96–2.03 Å. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six MnO6 octahedra. There are four shorter (2.07 Å) and two longer (2.11 Å) Cu–O bond lengths. In the sixth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Cu–O bond distances ranging from 2.00–2.03 Å. In the seventh Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Cu–O bond distances ranging from 1.98–2.02 Å. In the eighth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.08–2.10 Å. In the ninth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Cu–O bond distances ranging from 1.97–2.01 Å. In the tenth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent MnO4 tetrahedra, corners with four CuO4 tetrahedra, and edges with six MnO6 octahedra. There are four shorter (2.08 Å) and two longer (2.10 Å) Cu–O bond lengths. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn3+ and two Cu2+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mn3+ and two Cu2+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the fifth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the sixth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mn3+ and two Cu2+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn3+ and two Cu2+ atoms. In the ninth O2- site, O2- is bonded to four Mn3+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the eleventh O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mn3+ and two Cu2+ atoms. In the thirteenth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn3+ and two Cu2+ atoms. In the fifteenth O2- site, O2- is bonded to four Mn3+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the seventeenth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the eighteenth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the nineteenth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twentieth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Mn3+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the twenty-third O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Mn3+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn3+ and two Cu2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mn3+ and two Cu2+ atoms. In the twenty-seventh O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mn3+ and two Cu2+ atoms. In the thirtieth O2- site, O2- is bonded to four Mn3+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ga3NO3 by Materials Project

Ga3NO3 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to two N3- and four O2- atoms to form GaN2O4 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaN2O4 octahedra. Both Ga–N bond lengths are 1.98 Å. There are a spread of Ga–O bond distances ranging from 2.09–2.11 Å. In the second Ga3+ site, Ga3+ is bonded to four O2- atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There is three shorter (1.89 Å) and one longer (1.90 Å) Ga–O bond length. In the third Ga3+ site, Ga3+ is bonded to two N3- and four O2- atoms to form GaN2O4 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaN2O4 octahedra. Both Ga–N bond lengths are 1.99 Å. There are a spread of Ga–O bond distances ranging from 2.08–2.10 Å. In the fourth Ga3+ site, Ga3+ is bonded to one N3- and five O2- atoms to form GaNO5 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaN2O4 octahedra. The Ga–N bond length is 1.96 Å. There are a spread of Ga–O bond distances ranging from 2.04–2.07 Å. In the fifth Ga3+ site, Ga3+ is bonded to one N3- and five O2- atoms to form GaNO5 octahedra that share corners with six GaO4 tetrahedra and edges with six GaN2O4 octahedra. The Ga–N bond length is 1.96 Å. There are a spread of Ga–O bond distances ranging from 2.04–2.08 Å. In the sixth Ga3+ site, Ga3+ is bonded to four O2- atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There is three shorter (1.89 Å) and one longer (1.90 Å) Ga–O bond length. In the seventh Ga3+ site, Ga3+ is bonded to two N3- and four O2- atoms to form GaN2O4 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaO6 octahedra. There is one shorter (1.97 Å) and one longer (1.98 Å) Ga–N bond length. There are a spread of Ga–O bond distances ranging from 2.07–2.13 Å. In the eighth Ga3+ site, Ga3+ is bonded to two N3- and four O2- atoms to form GaN2O4 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaN2O4 octahedra. Both Ga–N bond lengths are 1.99 Å. There are a spread of Ga–O bond distances ranging from 2.08–2.10 Å. In the ninth Ga3+ site, Ga3+ is bonded to two N3- and two O2- atoms to form corner-sharing GaN2O2 tetrahedra. The corner-sharing octahedra tilt angles range from 54–64°. There is one shorter (1.94 Å) and one longer (1.96 Å) Ga–N bond length. There is one shorter (1.97 Å) and one longer (1.98 Å) Ga–O bond length. In the tenth Ga3+ site, Ga3+ is bonded to two N3- and four O2- atoms to form GaN2O4 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaO6 octahedra. Both Ga–N bond lengths are 1.98 Å. There are a spread of Ga–O bond distances ranging from 2.06–2.13 Å. In the eleventh Ga3+ site, Ga3+ is bonded to two N3- and two O2- atoms to form corner-sharing GaN2O2 tetrahedra. The corner-sharing octahedra tilt angles range from 54–64°. There is one shorter (1.94 Å) and one longer (1.96 Å) Ga–N bond length. Both Ga–O bond lengths are 1.98 Å. In the twelfth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaN2O2 tetrahedra and edges with six GaN2O4 octahedra. There are a spread of Ga–O bond distances ranging from 2.01–2.03 Å. There are four inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ga3+ atoms to form distorted corner-sharing NGa4 tetrahedra. In the second N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ga3+ atoms. In the third N3- site, N3- is bonded to four Ga3+ atoms to form distorted corner-sharing NGa4 tetrahedra. In the fourth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ga3+ atoms. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr2Fe23O38 by Materials Project

Sr2Fe23O38 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with six equivalent SrO12 cuboctahedra, edges with six FeO6 octahedra, edges with three equivalent FeO5 trigonal bipyramids, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.78–3.00 Å. In the second Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with six equivalent SrO12 cuboctahedra, edges with six FeO6 octahedra, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.82–3.05 Å. There are twenty-three inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.94–2.15 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.95–2.13 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 1.86–2.03 Å. In the fourth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–61°. There is three shorter (1.93 Å) and one longer (1.95 Å) Fe–O bond length. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.06 Å. In the sixth Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share corners with six FeO6 octahedra, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Fe–O bond distances ranging from 1.95–2.06 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There is four shorter (1.97 Å) and two longer (1.98 Å) Fe–O bond length. In the eighth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.05 Å. In the ninth Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with twelve FeO6 octahedra and edges with three equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–64°. There are a spread of Fe–O bond distances ranging from 1.88–2.34 Å. In the tenth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.91–1.95 Å. In the eleventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.95–2.13 Å. In the twelfth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.95–2.14 Å. In the thirteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.05 Å. In the fourteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.90–2.14 Å. In the fifteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.18 Å. In the sixteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the seventeenth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.93–1.95 Å. In the eighteenth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There is two shorter (1.93 Å) and two longer (1.95 Å) Fe–O bond length. In the nineteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 2.00–2.09 Å. In the twentieth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. In the twenty-first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Fe–O bond distances ranging from 1.93–2.15 Å. In the twenty-second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Fe–O bond distances ranging from 1.93–2.16 Å. In the twenty-third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. There are thirty-eight inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the second O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the third O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the fourth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the fifth O site, O is bonded in a distorted L-shaped geometry to two equivalent Sr and two Fe atoms. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the eighth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the ninth O site, O is bonded in a trigonal non-coplanar geometry to three Fe atoms. In the tenth O site, O is bonded in a trigonal non-coplanar geometry to three Fe atoms. In the eleventh O site, O is bonded to four Fe atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirteenth O site, O is bonded to four Fe atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the fourteenth O site, O is bonded in a distorted L-shaped geometry to two equivalent Sr and two Fe atoms. In the fifteenth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the sixteenth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the seventeenth O site, O is bonded in a distorted L-shaped geometry to two equivalent Sr and two Fe atoms. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twentieth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-first O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-second O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-third O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twenty-fifth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twenty-sixth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr and three Fe atoms. In the twenty-seventh O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-eighth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirty-first O site, O is bonded in a 5-coordinate geometry to two equivalent Sr and three Fe atoms. In the thirty-second O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirty-third O site, O is bonded in a rectangular see-saw-like geometry to four Fe atom

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti9O20 by Materials Project

Li4Ti9O20 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 2.01–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are two shorter (1.99 Å) and two longer (2.01 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are three shorter (1.97 Å) and one longer (2.10 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.15 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. There is two shorter (1.98 Å) and two longer (2.01 Å) Li–O bond length. There are eighteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.05 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.83–2.22 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.09 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.12 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.06 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.05 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.09 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.06 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.10 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.17 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.11 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.82–2.06 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.07 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fifth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLiTi3 tetrahedra, a cornercorner with one OLi2Ti2 trigonal pyramid, and edges with three OLiTi3 tetrahedra. In the sixth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+ and three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLiTi3 tetrahedra, corners with two equivalent OLi2Ti2 trigonal pyramids, and edges with three OLiTi3 tetrahedra. In the eleventh O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLiTi3 tetrahedra, a cornercorner with one OLi2Ti2 trigonal pyramid, and edges with three OLiTi3 tetrahedra. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 tetrahedra that share corners with two equivalent OLi2Ti2 trigonal pyramids and edges with three OLiTi3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the twentieth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-third O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted corner-sharing OLi2Ti2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the thirty-second O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted corner-sharing OLi2Ti2 trigonal pyramids. In the thirty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ti4+ atoms. In the fortieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atom

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn7Fe(BO3)8 by Materials Project

Li8Mn7Fe(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.10 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. There are seven inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.31 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.29 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the fifth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the sixth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.31 Å. In the seventh Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.29 Å. Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.26 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the third O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3Fe3(SbO8)2 by Materials Project

Li4V3Fe3(SbO8)2 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 SbO6 octahedra, corners with four FeO6 octahedra, and corners with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 48–66°. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. In the second 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 1.86–2.05 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 1.85–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent SbO6 octahedra, corners with four VO6 octahedra, and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–64°. There are a spread of Li–O bond distances ranging from 1.97–2.04 Å. There are three inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of V–O bond distances ranging from 1.86–2.16 Å. In the second V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of V–O bond distances ranging from 1.87–2.15 Å. In the third V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of V–O bond distances ranging from 1.99–2.14 Å. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Fe–O bond distances ranging from 1.99–2.16 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Fe–O bond distances ranging from 2.08–2.19 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Fe–O bond distances ranging from 2.07–2.19 Å. There are two inequivalent Sb3+ sites. In the first Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four VO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Sb–O bond distances ranging from 1.99–2.11 Å. In the second Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four FeO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Sb–O bond distances ranging from 1.99–2.11 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 V+4.33+, one Fe3+, and one Sb3+ atom. In the second O2- site, O2- is bonded to one Li1+, two Fe3+, and one Sb3+ atom to form distorted corner-sharing OLiFe2Sb tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.33+, and two Fe3+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one V+4.33+, and two Fe3+ atoms to form distorted corner-sharing OLiVFe2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two V+4.33+, and one Fe3+ atom to form distorted corner-sharing OLiV2Fe tetrahedra. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.33+, one Fe3+, and one Sb3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+4.33+, one Fe3+, and one Sb3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+4.33+, one Fe3+, and one Sb3+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Fe3+, and one Sb3+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Sb3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+4.33+, one Fe3+, and one Sb3+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, one V+4.33+, one Fe3+, and one Sb3+ atom to form distorted corner-sharing OLiVFeSb tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Fe3+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.33+, one Fe3+, and one Sb3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Sb3+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.33+, one Fe3+, and one Sb3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Fe(BO3)4 by Materials Project

Li4Mn3Fe(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. There are six inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.32 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.31 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the fifth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.33 Å. In the sixth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.30 Å. There are two inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.26 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.26 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLiMnFeB tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiFeBO3 by Materials Project

LiFeBO3 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 five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.05–2.47 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.06–2.17 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.07–2.16 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.04–2.44 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.34 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 2.05–2.49 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.02–2.33 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.37 Å. There are nine inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Fe–O bond distances ranging from 1.96–2.11 Å. In the second Fe2+ site, Fe2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Fe–O bond distances ranging from 1.96–2.11 Å. In the third Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.12 Å. In the fourth Fe2+ site, Fe2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Fe–O bond distances ranging from 1.95–2.11 Å. In the fifth Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are two shorter (1.98 Å) and two longer (2.14 Å) Fe–O bond lengths. In the sixth Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.15 Å. In the seventh Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO4 tetrahedra and corners with four LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.12 Å. In the eighth Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.15 Å. In the ninth Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO4 tetrahedra and corners with four LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.12 Å. There are nine inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.38 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the eighteenth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the twenty-seventh O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on K6Al32O51 by Materials Project

K6Al32O51 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent K sites. In the first K site, K is bonded in a 1-coordinate geometry to five O atoms. There are a spread of K–O bond distances ranging from 2.70–3.11 Å. In the second K site, K is bonded in a 5-coordinate geometry to five O atoms. There are a spread of K–O bond distances ranging from 2.52–3.08 Å. In the third K site, K is bonded in a 1-coordinate geometry to five O atoms. There are a spread of K–O bond distances ranging from 2.69–3.11 Å. In the fourth K site, K is bonded in a 5-coordinate geometry to five O atoms. There are a spread of K–O bond distances ranging from 2.52–3.08 Å. There are nineteen inequivalent Al sites. In the first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.94 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.03 Å. In the third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.03 Å. In the fourth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.02 Å. In the fifth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.95 Å. In the sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–59°. There is three shorter (1.81 Å) and one longer (1.85 Å) Al–O bond length. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–54°. There is three shorter (1.77 Å) and one longer (1.78 Å) Al–O bond length. In the eighth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–55°. There is one shorter (1.76 Å) and three longer (1.80 Å) Al–O bond length. In the ninth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–58°. There is one shorter (1.78 Å) and three longer (1.83 Å) Al–O bond length. In the tenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–2.10 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–2.10 Å. In the twelfth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.03 Å. In the thirteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–63°. There are a spread of Al–O bond distances ranging from 1.80–1.94 Å. In the fourteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–59°. There is one shorter (1.79 Å) and three longer (1.83 Å) Al–O bond length. In the fifteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–55°. There is one shorter (1.67 Å) and three longer (1.82 Å) Al–O bond length. In the sixteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.05 Å. In the seventeenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with four AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–2.11 Å. In the eighteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.02 Å. In the nineteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.05 Å. There are thirty inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one K and three Al atoms. In the second O site, O is bonded in a 3-coordinate geometry to one K and three Al atoms. In the third O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the sixth O site, O is bonded in a distorted tetrahedral geometry to one K and three Al atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eighth O site, O is bonded in a distorted tetrahedral geometry to one K and three Al atoms. In the ninth O site, O is bonded in a linear geometry to two Al atoms. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eleventh O site, O is bonded in a 4-coordinate geometry to one K and three Al atoms. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirteenth O site, O is bonded in a 3-coordinate geometry to one K and three Al atoms. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one K and two Al atoms. In the sixteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the seventeenth O site, O is bonded in a 3-coordinate geometry to one K and three Al atoms. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the nineteenth O site, O is bonded in a 4-coordinate geometry to one K and three Al atoms. In the twentieth O site, O is bonded in a single-bond geometry to six K and one Al atom. In the twenty-first O site, O is bonded in a distorted tetrahedral geometry to one K and three Al atoms. In the twenty-second O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-third O site, O is bonded in a 3-coordinate geometry to one K and three Al atoms. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-fifth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-seventh O site, O is bonded in a distorted trigonal non-coplanar geometry to one K and two equivalent Al atoms. In the twenty-eighth O site, O is bonded in a distorted tetrahedral geometry to one K and three Al atoms. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirtieth O site, O is bonded in a 4-coordinate geometry to one K and three Al atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgTi2O4 by Materials Project

MgTi2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. All Mg–O bond lengths are 1.97 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six TiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.15 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four TiO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.18 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six TiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.20 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six TiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.16 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five TiO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.16 Å. There are nine inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four TiO4 tetrahedra, edges with three MgO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.19 Å. In the second Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Ti–O bond distances ranging from 1.90–1.93 Å. In the third Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent TiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.07–2.16 Å. In the fourth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.06–2.18 Å. In the fifth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Ti–O bond distances ranging from 1.88–1.91 Å. In the sixth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five TiO4 tetrahedra, edges with three MgO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.04–2.23 Å. In the seventh Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There is two shorter (1.89 Å) and two longer (1.91 Å) Ti–O bond length. In the eighth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There is two shorter (1.90 Å) and two longer (1.92 Å) Ti–O bond length. In the ninth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Ti–O bond distances ranging from 1.86–1.89 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the fourth O2- site, O2- is bonded to two Mg2+ and two Ti3+ atoms to form a mixture of distorted corner and edge-sharing OMg2Ti2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti3+ atoms. In the eighth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Mg2+ and three Ti3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Mg2+ and two equivalent Ti3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Ti3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms.

36 MATERIALS SCIENCE↗