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Materials Data on Sr12Mn6O23 by Materials Project

Sr12Mn6O23 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Sr2+ sites. In the first 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 2.51–2.86 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 2.48–2.71 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 2.55–2.90 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 2.55–2.87 Å. In the fifth 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 2.52–2.89 Å. In the sixth 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 2.46–2.71 Å. There are four inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra and corners with two equivalent MnO5 square pyramids. The corner-sharing octahedral tilt angles are 6°. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to five O2- atoms to form corner-sharing MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mn–O bond distances ranging from 1.89–1.95 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MnO6 octahedra and a cornercorner with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mn–O bond distances ranging from 1.94–1.98 Å. In the fourth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra and corners with two equivalent MnO5 square pyramids. The corner-sharing octahedral tilt angles are 1°. There is four shorter (1.94 Å) and two longer (1.97 Å) Mn–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.67+ atoms. In the second O2- site, O2- is bonded to four Sr2+ and two Mn+3.67+ atoms to form distorted OSr4Mn2 octahedra that share corners with seven OSr5Mn octahedra, an edgeedge with one OSr4Mn2 octahedra, and faces with five OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–56°. In the third O2- site, O2- is bonded to five Sr2+ and one Mn+3.67+ atom to form distorted OSr5Mn octahedra that share corners with nine OSr5Mn octahedra, edges with six OSr5Mn octahedra, and faces with three OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–57°. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to five Sr2+ and one Mn+3.67+ atom. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to five Sr2+ and one Mn+3.67+ atom. In the sixth O2- site, O2- is bonded to four Sr2+ and two Mn+3.67+ atoms to form a mixture of distorted corner and face-sharing OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–56°. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.67+ atoms. In the eighth O2- site, O2- is bonded to five Sr2+ and one Mn+3.67+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr5Mn octahedra, edges with five OSr5Mn octahedra, and faces with three OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–56°. In the ninth O2- site, O2- is bonded to four Sr2+ and two equivalent Mn+3.67+ atoms to form distorted OSr4Mn2 octahedra that share corners with eight OSr5Mn octahedra, edges with two equivalent OSr4Mn2 octahedra, and faces with six OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 3–56°. In the tenth O2- site, O2- is bonded to four Sr2+ and two Mn+3.67+ atoms to form distorted OSr4Mn2 octahedra that share corners with eleven OSr5Mn octahedra, edges with two OSr4Mn2 octahedra, and faces with four OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–57°. In the eleventh O2- site, O2- is bonded to five Sr2+ and one Mn+3.67+ atom to form distorted OSr5Mn octahedra that share corners with ten OSr5Mn octahedra, edges with five OSr5Mn octahedra, and faces with two equivalent OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–57°. In the twelfth O2- site, O2- is bonded to five Sr2+ and one Mn+3.67+ atom to form distorted OSr5Mn octahedra that share corners with ten OSr5Mn octahedra, edges with four OSr5Mn octahedra, and faces with four OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–56°.

36 MATERIALS SCIENCE↗

Materials Data on K5Li3Ti8(AsO5)8 by Materials Project

K5Li3Ti8(AsO5)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.69–3.30 Å. In the second K1+ site, K1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.69–3.37 Å. In the third K1+ site, K1+ is bonded in a 1-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.62–3.39 Å. In the fourth K1+ site, K1+ is bonded in a 1-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.62–3.37 Å. In the fifth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.63–3.00 Å. There are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.36 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.35 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 1.94–2.35 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two TiO6 octahedra and corners with four AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–38°. There are a spread of Ti–O bond distances ranging from 1.77–2.22 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four AsO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.86–2.04 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–40°. There are a spread of Ti–O bond distances ranging from 1.83–2.05 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two TiO6 octahedra and corners with four AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of Ti–O bond distances ranging from 1.77–2.25 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two TiO6 octahedra and corners with four AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–39°. There are a spread of Ti–O bond distances ranging from 1.75–2.26 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–39°. There are a spread of Ti–O bond distances ranging from 1.81–2.07 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–38°. There are a spread of Ti–O bond distances ranging from 1.82–2.05 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two TiO6 octahedra and corners with four AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–38°. There are a spread of Ti–O bond distances ranging from 1.76–2.23 Å. There are eight inequivalent As5+ sites. In the first As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of As–O bond distances ranging from 1.71–1.73 Å. In the second As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of As–O bond distances ranging from 1.71–1.74 Å. In the third As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There is two shorter (1.71 Å) and two longer (1.73 Å) As–O bond length. In the fourth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of As–O bond distances ranging from 1.71–1.74 Å. In the fifth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of As–O bond distances ranging from 1.71–1.73 Å. In the sixth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of As–O bond distances ranging from 1.71–1.74 Å. In the seventh As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of As–O bond distances ranging from 1.71–1.74 Å. In the eighth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of As–O bond distances ranging from 1.70–1.74 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Li1+, one Ti4+, and one As5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Li1+, one Ti4+, and one As5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Ti4+, and one As5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two K1+, one Ti4+, and one As5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Ti4+, and one As5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two K1+, one Ti4+, and one As5+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Ti4+, and one As5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one K1+, one Li1+, one Ti4+, and one As5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two K1+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Ti4+, and one As5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one K1+, one Ti4+, and one As5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Ti4+, and one As5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Li1+, one Ti4+, and one As5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Li1+, one Ti4+, and one As5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Li1+, one Ti4+, and one As5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Li1+, one Ti4+, and one As5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Ti4+, and one As5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one K1+, one Ti4+, and one As5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Ti4+, and one As5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to one K1+, one Li1+, one Ti4+, and one As5+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one K1+, one Li1+, one Ti4+, and one As5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Ti4+, and one As5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one K1+, one Ti4+, and one As5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+, one Ti4+, and one As5+ atom. In the thirty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to two K1+, one Ti4+, and one As5+ atom. In the fortieth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Ti4+, and one As5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on GdErO3 by Materials Project

ErGdO3 is Spinel-like structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are five inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to six O2- atoms to form distorted ErO6 octahedra that share corners with three ErO6 octahedra, corners with three GdO6 octahedra, an edgeedge with one ErO6 octahedra, and edges with five GdO6 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Er–O bond distances ranging from 2.24–2.35 Å. In the second Er3+ site, Er3+ is bonded to six O2- atoms to form distorted ErO6 octahedra that share a cornercorner with one ErO6 octahedra, corners with five GdO6 octahedra, edges with three ErO6 octahedra, and edges with three GdO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Er–O bond distances ranging from 2.24–2.35 Å. In the third Er3+ site, Er3+ is bonded to six O2- atoms to form distorted ErO6 octahedra that share corners with two equivalent ErO6 octahedra, corners with four GdO6 octahedra, edges with two equivalent GdO6 octahedra, and edges with four ErO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are four shorter (2.25 Å) and two longer (2.35 Å) Er–O bond lengths. In the fourth Er3+ site, Er3+ is bonded to six O2- atoms to form distorted ErO6 octahedra that share corners with two equivalent GdO6 octahedra, corners with four ErO6 octahedra, edges with two equivalent ErO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Er–O bond distances ranging from 2.25–2.33 Å. In the fifth Er3+ site, Er3+ is bonded to six O2- atoms to form distorted ErO6 octahedra that share corners with three ErO6 octahedra, corners with three GdO6 octahedra, edges with three ErO6 octahedra, and edges with three GdO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Er–O bond distances ranging from 2.23–2.35 Å. There are five inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded to six O2- atoms to form GdO6 octahedra that share corners with two GdO6 octahedra, corners with four ErO6 octahedra, edges with two GdO6 octahedra, and edges with four ErO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Gd–O bond distances ranging from 2.32–2.34 Å. In the second Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with three ErO6 octahedra, corners with three GdO6 octahedra, edges with three ErO6 octahedra, and edges with three GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Gd–O bond distances ranging from 2.27–2.39 Å. In the third Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two equivalent ErO6 octahedra, corners with four GdO6 octahedra, edges with two equivalent GdO6 octahedra, and edges with four ErO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are four shorter (2.29 Å) and two longer (2.40 Å) Gd–O bond lengths. In the fourth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two equivalent GdO6 octahedra, corners with four ErO6 octahedra, edges with two equivalent ErO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. In the fifth Gd3+ site, Gd3+ is bonded to six O2- atoms to form GdO6 octahedra that share corners with two GdO6 octahedra, corners with four ErO6 octahedra, edges with two GdO6 octahedra, and edges with four ErO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Gd–O bond distances ranging from 2.32–2.34 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to one Er3+ and three Gd3+ atoms to form a mixture of distorted edge and corner-sharing OGd3Er trigonal pyramids. In the second O2- site, O2- is bonded to three Er3+ and one Gd3+ atom to form distorted OGdEr3 trigonal pyramids that share a cornercorner with one OGd3Er tetrahedra, corners with eleven OGd3Er trigonal pyramids, and edges with four OGd2Er2 trigonal pyramids. In the third O2- site, O2- is bonded to two Er3+ and two Gd3+ atoms to form distorted OGd2Er2 trigonal pyramids that share corners with two equivalent OGd3Er tetrahedra, corners with ten OGd2Er2 trigonal pyramids, and edges with four OGd3Er trigonal pyramids. In the fourth O2- site, O2- is bonded to two Er3+ and two Gd3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Er2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Er3+ and three Gd3+ atoms to form a mixture of distorted edge and corner-sharing OGd3Er tetrahedra. In the sixth O2- site, O2- is bonded to two Er3+ and two Gd3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Er2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Er3+ and three Gd3+ atoms to form a mixture of distorted edge and corner-sharing OGd3Er trigonal pyramids. In the eighth O2- site, O2- is bonded to two Er3+ and two Gd3+ atoms to form distorted OGd2Er2 trigonal pyramids that share corners with twelve OGd3Er trigonal pyramids, edges with two equivalent OGd3Er tetrahedra, and edges with two OGd2Er2 trigonal pyramids. In the ninth O2- site, O2- is bonded to three Er3+ and one Gd3+ atom to form distorted OGdEr3 trigonal pyramids that share a cornercorner with one OGd3Er tetrahedra, corners with eleven OGd3Er trigonal pyramids, and edges with four OGd2Er2 trigonal pyramids. In the tenth O2- site, O2- is bonded to two Er3+ and two Gd3+ atoms to form distorted OGd2Er2 trigonal pyramids that share corners with two equivalent OGd3Er tetrahedra, corners with ten OGd2Er2 trigonal pyramids, and edges with four OGd3Er trigonal pyramids. In the eleventh O2- site, O2- is bonded to two Er3+ and two Gd3+ atoms to form distorted OGd2Er2 trigonal pyramids that share corners with two equivalent OGd3Er tetrahedra, corners with ten OGd2Er2 trigonal pyramids, and edges with four OGd2Er2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to three Er3+ and one Gd3+ atom to form distorted OGdEr3 trigonal pyramids that share a cornercorner with one OGd3Er tetrahedra, corners with eleven OGd3Er trigonal pyramids, and edges with four OGd2Er2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li6Ti9O20 by Materials Project

Li6Ti9O20 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve 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 53–64°. There are a spread of Li–O bond distances ranging from 1.97–2.06 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 57–61°. There are two shorter (2.01 Å) and two longer (2.03 Å) Li–O bond lengths. In the third 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 56–65°. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. 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 55–64°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the fifth 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 56–60°. There are a spread of Li–O bond distances ranging from 2.00–2.03 Å. In the sixth 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 2.11–2.14 Å. In the seventh 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 55–64°. There are three shorter (2.00 Å) and one longer (2.03 Å) Li–O bond lengths. In the eighth 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 56–60°. There are one shorter (2.01 Å) and three longer (2.02 Å) Li–O bond lengths. In the ninth 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 53–64°. There are a spread of Li–O bond distances ranging from 1.99–2.06 Å. In the tenth 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 57–62°. There are a spread of Li–O bond distances ranging from 2.00–2.04 Å. In the eleventh 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 57–65°. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. In the twelfth 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 2.09–2.14 Å. There are eighteen inequivalent Ti+3.78+ sites. In the first Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.04 Å. In the second Ti+3.78+ site, Ti+3.78+ 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 1.85–2.14 Å. In the third Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the fourth Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.02 Å. In the fifth Ti+3.78+ site, Ti+3.78+ 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 1.91–2.09 Å. In the sixth Ti+3.78+ site, Ti+3.78+ 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 1.91–2.08 Å. In the seventh Ti+3.78+ site, Ti+3.78+ 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 1.92–2.06 Å. In the eighth Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. In the ninth Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. In the tenth Ti+3.78+ site, Ti+3.78+ 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 1.91–2.08 Å. In the eleventh Ti+3.78+ site, Ti+3.78+ 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 1.91–2.08 Å. In the twelfth Ti+3.78+ site, Ti+3.78+ 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 1.91–2.07 Å. In the thirteenth Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six 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 1.89–2.05 Å. In the fourteenth Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.03 Å. In the fifteenth Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.03 Å. In the sixteenth Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.03 Å. In the seventeenth Ti+3.78+ site, Ti+3.78+ 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 1.86–2.16 Å. In the eighteenth Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six 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 1.89–2.04 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.78+ atoms. In the second O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.78+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.78+ atoms. In the fifth O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti+3.78+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.78+ atoms. In the thirteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form distorted edge-sharing OLiTi3 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti+3.78+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti+3.78+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti+3.78+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti+3.78+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti+3.78+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.78+ atoms. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form distorted edge-sharing OLiTi3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to one Li1+ and three Ti+3.78+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-l

36 MATERIALS SCIENCE↗

Materials Data on Li3V3(BO5)2 by Materials Project

Li3V3(BO5)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Li–O bond distances ranging from 2.04–2.19 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 1.95–2.17 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 64–68°. There are a spread of Li–O bond distances ranging from 2.07–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four VO6 octahedra, edges with four LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 6–24°. There are a spread of Li–O bond distances ranging from 1.92–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 63–68°. There are a spread of Li–O bond distances ranging from 2.02–2.27 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 57–69°. There are a spread of Li–O bond distances ranging from 1.97–2.19 Å. There are six inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO6 octahedra, edges with four LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of V–O bond distances ranging from 1.96–2.10 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–59°. There are a spread of V–O bond distances ranging from 1.92–2.07 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO6 octahedra, edges with three VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–57°. There are a spread of V–O bond distances ranging from 1.95–2.08 Å. In the fourth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of V–O bond distances ranging from 1.99–2.12 Å. In the fifth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with three VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–63°. There are a spread of V–O bond distances ranging from 1.85–2.11 Å. In the sixth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with four LiO6 octahedra, edges with three LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 24–60°. There are a spread of V–O bond distances ranging from 1.84–2.27 Å. There are four inequivalent B3+ sites. In the first 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 1.36–1.43 Å. In the second 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 1.37–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.44 Å) B–O bond length. 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 1.34–1.43 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and two equivalent V+3.67+ atoms to form distorted OLi2V2 tetrahedra that share corners with three OLiV4 square pyramids, corners with four OLi2VB tetrahedra, a cornercorner with one OLi2V2 trigonal pyramid, and an edgeedge with one OLi3V2 square pyramid. In the second O2- site, O2- is bonded to one Li1+ and four V+3.67+ atoms to form OLiV4 square pyramids that share corners with two equivalent OLiV4 square pyramids, corners with three OLi2V2 trigonal pyramids, edges with three OLiV4 square pyramids, and an edgeedge with one OLiV3 trigonal pyramid. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, 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 V+3.67+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the ninth O2- site, O2- is bonded to three Li1+ and two equivalent V+3.67+ atoms to form OLi3V2 square pyramids that share corners with three OLi2V2 tetrahedra, corners with two equivalent OLi2V3 trigonal bipyramids, edges with two equivalent OLi3V2 square pyramids, an edgeedge with one OLi2V2 tetrahedra, and an edgeedge with one OLi2V3 trigonal bipyramid. In the tenth O2- site, O2- is bonded to one Li1+ and three V+3.67+ atoms to form distorted OLiV3 trigonal pyramids that share corners with two equivalent OLiV4 square pyramids, a cornercorner with one OLi2V2 tetrahedra, a cornercorner with one OLi2V3 trigonal bipyramid, corners with two equivalent OLiV3 trigonal pyramids, and an edgeedge with one OLiV4 square pyramid. In the eleventh O2- site, O2- is bonded to two Li1+ and two equivalent V+3.67+ atoms to form OLi2V2 tetrahedra that share corners with three OLiV4 square pyramids, corners with four OLi2VB tetrahedra, a cornercorner with one OLiV3 trigonal pyramid, and an edgeedge with one OLiV4 square pyramid. In the twelfth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.67+ atoms to form distorted OLi2V3 trigonal bipyramids that share corners with two equivalent OLi3V2 square pyramids, corners with three OLi2V2 trigonal pyramids, an edgeedge with one OLi3V2 square pyramid, edges with two equivalent OLi2V3 trigonal bipyramids, and an edgeedge with one OLi2V2 trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three V+3.67+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+, one V+3.67+, and one B3+ atom to form distorted OLi2VB tetrahedra that share corners with six OLi2VB tetrahedra and edges with two equivalent OLiV4 square pyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+ and four V+3.67+ atoms to form OLiV4 square pyramids that share corners with two equivalent OLiV4 square pyramids, corners with three OLi2V2 tetrahedra, edges with three OLiV4 square pyramids, and edges with three OLi2VB tetrahedra. In the twentieth O2- site, O2- is bonded to two Li1+ and two equivalent V+3.67+ atoms to form distorted OLi2V2 trigonal pyramids that share a cornercorner with one OLiV4 square pyramid, a cornercorner with one OLi2V2 tetrahedra, corners with two equivalent OLi2V3 trigonal bipyramids, corners with two equivalent OLi2V2 trigonal pyramids, and an edgeedge with one OLi2V3 trigonal bipyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li6MnAlO6 by Materials Project

Li6MnAlO6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with two AlO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–58°. There are a spread of Li–O bond distances ranging from 1.92–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with two AlO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–62°. There are a spread of Li–O bond distances ranging from 1.88–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with two AlO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–57°. There are a spread of Li–O bond distances ranging from 1.92–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with two AlO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–62°. There are a spread of Li–O bond distances ranging from 1.88–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with two AlO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–57°. There are a spread of Li–O bond distances ranging from 1.92–1.97 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with two AlO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–59°. There are a spread of Li–O bond distances ranging from 1.92–2.08 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with two AlO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–62°. There are a spread of Li–O bond distances ranging from 1.88–2.17 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with two AlO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–62°. There are a spread of Li–O bond distances ranging from 1.88–2.13 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with two AlO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 19–58°. There are a spread of Li–O bond distances ranging from 1.93–2.07 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with two AlO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–59°. There are a spread of Li–O bond distances ranging from 1.92–2.08 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with two AlO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–57°. There is three shorter (1.92 Å) and one longer (1.97 Å) Li–O bond length. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with two AlO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–56°. There are a spread of Li–O bond distances ranging from 1.92–1.97 Å. There are two inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with twelve LiO4 tetrahedra, edges with three equivalent AlO6 octahedra, and edges with six LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.00–2.34 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with twelve LiO4 tetrahedra, edges with three equivalent AlO6 octahedra, and edges with six LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.00–2.34 Å. There are two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with twelve LiO4 tetrahedra, edges with three equivalent MnO6 octahedra, and edges with six LiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.87–2.12 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with twelve LiO4 tetrahedra, edges with three equivalent MnO6 octahedra, and edges with six LiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.88–2.12 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn3+, and one Al3+ atom. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn3+, and one Al3+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn3+, and one Al3+ atom. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn3+, and one Al3+ atom. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn3+, and one Al3+ atom. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn3+, and one Al3+ atom. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn3+, and one Al3+ atom. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn3+, and one Al3+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn3+, and one Al3+ atom. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn3+, and one Al3+ atom. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn3+, and one Al3+ atom. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn3+, and one Al3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Nb2Fe3O16 by Materials Project

Li4Nb2Mn3Fe3O16 is Hausmannite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NbO6 octahedra, corners with four FeO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three equivalent NbO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Li–O bond distances ranging from 1.84–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with three equivalent NbO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–65°. There are a spread of Li–O bond distances ranging from 1.83–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NbO6 octahedra, corners with four MnO6 octahedra, and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent MnO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Nb–O bond distances ranging from 1.95–2.12 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent FeO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Nb–O bond distances ranging from 1.96–2.30 Å. There are two inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with four equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mn–O bond distances ranging from 1.93–2.17 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Mn–O bond distances ranging from 1.94–2.29 Å. There are two 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 NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Fe–O bond distances ranging from 1.99–2.13 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with four equivalent MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Fe–O bond distances ranging from 2.00–2.09 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn3+, and one Fe3+ atom. In the second O2- site, O2- is bonded to one Li1+, one Nb5+, and two equivalent Fe3+ atoms to form distorted OLiNbFe2 trigonal pyramids that share corners with four OLiMnFe2 tetrahedra, a cornercorner with one OLiMn2Fe trigonal pyramid, edges with two equivalent OLiMnNbFe tetrahedra, and an edgeedge with one OLiMnFe2 trigonal pyramid. In the third O2- site, O2- is bonded to one Li1+, one Mn3+, and two equivalent Fe3+ atoms to form distorted OLiMnFe2 trigonal pyramids that share corners with three equivalent OLiMnFe2 tetrahedra, edges with two equivalent OLiMnNbFe tetrahedra, and an edgeedge with one OLiNbFe2 trigonal pyramid. In the fourth O2- site, O2- is bonded to one Li1+, one Mn3+, and two equivalent Fe3+ atoms to form OLiMnFe2 tetrahedra that share corners with four equivalent OLiMnNbFe tetrahedra and corners with five OLiNbFe2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two equivalent Mn3+, and one Fe3+ atom to form corner-sharing OLiMn2Fe tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, one Nb5+, one Mn3+, and one Fe3+ atom to form distorted OLiMnNbFe tetrahedra that share corners with three OLiMnFe2 tetrahedra, corners with two OLiMn2Fe trigonal pyramids, an edgeedge with one OLiMnNbFe tetrahedra, and edges with two OLiNbFe2 trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, and two equivalent Fe3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, and two equivalent Mn3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn3+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded to one Li1+, two equivalent Mn3+, and one Fe3+ atom to form distorted OLiMn2Fe trigonal pyramids that share corners with five OLiMn2Fe tetrahedra and a cornercorner with one OLiNbFe2 trigonal pyramid. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn3+, and one Fe3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Nb5+, and two equivalent Mn3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Cr10Fe5O24 by Materials Project

Li3Cr10Fe5O24 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO6 octahedra and corners with eight CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There is one shorter (1.99 Å) and three longer (2.00 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CrO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 2.02–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent FeO6 octahedra and corners with ten CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are two shorter (2.00 Å) and two longer (2.03 Å) Li–O bond lengths. There are seven inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.08 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.08 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six CrO6 octahedra. There are three shorter (1.99 Å) and three longer (2.09 Å) Cr–O bond lengths. In the fourth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.09 Å. In the fifth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.09 Å. In the sixth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, and edges with six CrO6 octahedra. There are three shorter (1.99 Å) and three longer (2.09 Å) Cr–O bond lengths. In the seventh Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with three CrO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.08 Å. There are five inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.11 Å. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with twelve CrO6 octahedra. The corner-sharing octahedral tilt angles are 58°. All Fe–O bond lengths are 1.94 Å. In the third Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five FeO6 octahedra and corners with seven CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There is one shorter (1.93 Å) and three longer (1.94 Å) Fe–O bond length. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.12 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with eleven CrO6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. All Fe–O bond lengths are 1.94 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Cr3+ and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OCr3Fe trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+, two Cr3+, and one Fe3+ atom to form distorted OLiCr2Fe trigonal pyramids that share corners with twelve OCr3Fe trigonal pyramids and edges with three OLiCr3 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Cr3+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with twelve OCr3Fe trigonal pyramids and edges with three OLiCr3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+ and three Cr3+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with twelve OCr3Fe trigonal pyramids and edges with three OLiCr2Fe trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two equivalent Cr3+, and one Fe3+ atom to form distorted OLiCr2Fe trigonal pyramids that share corners with twelve OCr3Fe trigonal pyramids and edges with three OLiCr3 trigonal pyramids. In the sixth O2- site, O2- is bonded to three Cr3+ and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OCr3Fe trigonal pyramids. In the seventh O2- site, O2- is bonded to three Cr3+ and one Fe3+ atom to form distorted OCr3Fe trigonal pyramids that share corners with twelve OLiCr3 trigonal pyramids and edges with three OCr3Fe trigonal pyramids. In the eighth O2- site, O2- is bonded to three Cr3+ and one Fe3+ atom to form distorted OCr3Fe trigonal pyramids that share corners with twelve OLiCr2Fe trigonal pyramids and edges with three OCr3Fe trigonal pyramids. In the ninth O2- site, O2- is bonded to three Cr3+ and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OCr3Fe trigonal pyramids. In the tenth O2- site, O2- is bonded to three Cr3+ and one Fe3+ atom to form distorted OCr3Fe trigonal pyramids that share corners with twelve OLiCr3 trigonal pyramids and edges with three OCr3Fe trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+, two Cr3+, and one Fe3+ atom to form distorted OLiCr2Fe trigonal pyramids that share corners with twelve OCr3Fe trigonal pyramids and edges with three OLiCr2Fe trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+ and three Cr3+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with twelve OCr3Fe trigonal pyramids and edges with three OLiCr3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+ and three Cr3+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with twelve OCr3Fe trigonal pyramids and edges with three OLiCr2Fe trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+, two equivalent Cr3+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiCr2Fe trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Cr3+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with twelve OCr3Fe trigonal pyramids and edges with three OLiCr3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two equivalent Cr3+ and two Fe3+ atoms to form distorted OCr2Fe2 trigonal pyramids that share corners with twelve OLiCr2Fe trigonal pyramids and edges with three OCr2Fe2 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two equivalent Cr3+ and two Fe3+ atoms to form distorted OCr2Fe2 trigonal pyramids that share corners with twelve OCr3Fe trigonal pyramids and edges with three OCr2Fe2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Cr3+ and three Fe3+ atoms to form distorted OCrFe3 trigonal pyramids that share corners with twelve OLiCr2Fe trigonal pyramids and edges with three OCr2Fe2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Sn2N2O by Materials Project

Sn2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form SnN3O3 octahedra that share corners with six SnN2O4 octahedra and edges with four SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Sn–N bond distances ranging from 2.13–2.17 Å. There are one shorter (2.18 Å) and two longer (2.20 Å) Sn–O bond lengths. In the second Sn4+ site, Sn4+ is bonded to two N3- and four O2- atoms to form distorted SnN2O4 octahedra that share corners with six SnN3O3 octahedra and edges with four SnN5O octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are one shorter (2.14 Å) and one longer (2.17 Å) Sn–N bond lengths. There are a spread of Sn–O bond distances ranging from 2.09–2.24 Å. In the third Sn4+ site, Sn4+ is bonded in a 6-coordinate geometry to four N3- and two O2- atoms. There are a spread of Sn–N bond distances ranging from 2.10–2.17 Å. There are one shorter (2.36 Å) and one longer (2.47 Å) Sn–O bond lengths. In the fourth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with six SnN3O3 octahedra and edges with five SnN5O octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are two shorter (2.17 Å) and one longer (2.20 Å) Sn–N bond lengths. There are a spread of Sn–O bond distances ranging from 2.09–2.31 Å. In the fifth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Sn–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.16 Å) and one longer (2.27 Å) Sn–O bond lengths. In the sixth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form SnN5O octahedra that share corners with five SnN4O2 octahedra and edges with five SnN2O4 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Sn–N bond distances ranging from 2.18–2.23 Å. The Sn–O bond length is 2.38 Å. In the seventh Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with six SnN3O3 octahedra and edges with five SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Sn–N bond distances ranging from 2.11–2.17 Å. There are a spread of Sn–O bond distances ranging from 2.13–2.28 Å. In the eighth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form distorted SnN5O octahedra that share corners with six SnN2O4 octahedra and edges with five SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Sn–N bond distances ranging from 2.13–2.24 Å. The Sn–O bond length is 2.36 Å. In the ninth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form SnN4O2 octahedra that share corners with five SnN3O3 octahedra and edges with five SnN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Sn–N bond distances ranging from 2.14–2.18 Å. There are one shorter (2.27 Å) and one longer (2.37 Å) Sn–O bond lengths. In the tenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form SnN4O2 octahedra that share corners with four SnN2O4 octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Sn–N bond distances ranging from 2.15–2.22 Å. There are one shorter (2.22 Å) and one longer (2.25 Å) Sn–O bond lengths. In the eleventh Sn4+ site, Sn4+ is bonded in a 6-coordinate geometry to five N3- and one O2- atom. There are a spread of Sn–N bond distances ranging from 2.12–2.22 Å. The Sn–O bond length is 2.60 Å. In the twelfth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with five SnN3O3 octahedra and edges with six SnN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Sn–N bond distances ranging from 2.14–2.18 Å. There are a spread of Sn–O bond distances ranging from 2.13–2.27 Å. In the thirteenth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form distorted SnN5O octahedra that share corners with four SnN5O octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Sn–N bond distances ranging from 2.14–2.23 Å. The Sn–O bond length is 2.45 Å. In the fourteenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with five SnN3O3 octahedra and edges with six SnN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–61°. There are a spread of Sn–N bond distances ranging from 2.09–2.22 Å. There are one shorter (2.32 Å) and one longer (2.35 Å) Sn–O bond lengths. In the fifteenth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form distorted SnN5O octahedra that share corners with six SnN2O4 octahedra and edges with five SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Sn–N bond distances ranging from 2.14–2.25 Å. The Sn–O bond length is 2.34 Å. In the sixteenth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing SnN5O octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Sn–N bond distances ranging from 2.15–2.28 Å. The Sn–O bond length is 2.18 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with four NSn4 tetrahedra, a cornercorner with one OSn4 trigonal pyramid, corners with five NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the second N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with five NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with three NSn4 trigonal pyramids, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the third N3- site, N3- is bonded to four Sn4+ atoms to form NSn4 tetrahedra that share corners with six NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 trigonal pyramid, and edges with three OSn4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Sn4+ atoms to form NSn4 tetrahedra that share corners with four NSn4 tetrahedra, a cornercorner with one OSn4 trigonal pyramid, corners with five NSn4 trigonal pyramids, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, edges with two NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the sixth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with three NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with five NSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and an edgeedge with one NSn4 trigonal pyramid. In the seventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with five NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with three NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, and edges with two NSn4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with five NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, edges with two NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the ninth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with two NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, edges with two NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the tenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two NSn4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with five NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with five NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with three NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with five NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the fourteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with two NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, and edges with two NSn4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with six NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to four Sn4+ atoms. In the second O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and an edgeedge with one NSn4 trigonal pyramid. In the third O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with two NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, and edges with four NSn4 tetrahedra. In the fourth O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with five NSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two NSn4 tr

36 MATERIALS SCIENCE↗

Materials Data on Li2MnCr3O8 by Materials Project

Li2Cr3MnO8 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 MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are two shorter (1.99 Å) and two longer (2.01 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. There are twelve inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.00 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. In the fifth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. In the sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. In the seventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–1.98 Å. In the eighth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.03 Å. In the ninth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.00 Å. In the tenth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. In the eleventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. In the twelfth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.96 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.96 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form a mixture of distorted edge and corner-sharing OLiMnCr2 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the sixth O2- site, O2- is bonded to one Li1+ and three Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form distorted OLiMnCr2 trigonal pyramids that share corners with three OLiMnCr2 trigonal pyramids and an edgeedge with one OLiCr3 trigonal pyramid. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form distorted corner-sharing OLiMnCr2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form distorted corner-sharing OLiMnCr2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the twenty-fifth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form distorted corner-sharing OLiMnCr2 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form a mixture of distorted edge and corner-sharing OLiMnCr2 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form distorted corner-sharing OLiMnCr2 trigonal pyramids. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr4+, and one Mn2+ atom. In the thirty-second O2- site, O2- is bonded to one Li1+, two Cr4+, and one Mn2+ atom to form distorted corner-sharing OLiMnCr2 trigonal pyramids.

36 MATERIALS SCIENCE↗

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 57–63°. There are a spread of Li–O bond distances ranging from 1.94–1.98 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 57–62°. There are a spread of Li–O bond distances ranging from 1.95–1.98 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 58–61°. There are a spread of Li–O bond distances ranging from 1.94–1.98 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 58–62°. There is three shorter (1.96 Å) and one longer (1.98 Å) Li–O bond length. 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 58–61°. There are a spread of Li–O bond distances ranging from 1.95–1.99 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 58–62°. There are a spread of Li–O bond distances ranging from 1.95–1.99 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 58–62°. There are a spread of Li–O bond distances ranging from 1.95–1.97 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 57–62°. There are a spread of Li–O bond distances ranging from 1.94–1.98 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 1.90–1.92 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 1.90–1.93 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 is three shorter (1.91 Å) and three longer (1.92 Å) Co–O bond length. 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 1.90–1.92 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 1.90–1.96 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 1.90–2.00 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 1.89–1.93 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 1.90–1.93 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 1.91–2.00 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 1.89–1.95 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 1.89–1.95 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 1.92–2.03 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 1.90–1.93 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 1.89–1.93 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 1.90–2.00 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 1.90–1.97 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 tetrahedra that share corners with five OLiCoNi2 tetrahedra, corners with four OLiCoNi2 trigonal pyramids, an edgeedge with one OLiNi3 tetrahedra, and edges with two OLiCoNi2 trigonal pyramids. In the second 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 third O2- site, O2- is bonded to one Li1+ and three Ni+3.33+ atoms to form distorted OLiNi3 tetrahedra that share corners with five OLiNi3 tetrahedra, corners with six OLiCoNi2 trigonal pyramids, and edges with three OLiCoNi2 trigonal pyramids. 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 to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted OLiCoNi2 trigonal pyramids that share corners with six OLiNi3 tetrahedra, corners with three OLiCoNi2 trigonal pyramids, an edgeedge with one OLiNi3 tetrahedra, and edges with two OLiCoNi2 trigonal pyramids. In the sixth 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 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 four OLiNi3 tetrahedra, corners with six OLiCoNi2 trigonal pyramids, an edgeedge with one OLiNi3 tetrahedra, and an edgeedge with one OLiCoNi2 trigonal pyramid. 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 tetrahedra. In the tenth 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 seven OLiNi3 tetrahedra, corners with four OLiCoNi2 trigonal pyramids, and edges with three OLiCoNi2 tetrahedra. In the eleventh 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 twelfth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted OLiCoNi2 tetrahedra that share corners with five OLiCoNi2 tetrahedra, corners with five OLiCoNi2 trigonal pyramids, an edgeedge with one OLiNi3 tetrahedra, and an edgeedge with one OLiCoNi2 trigonal pyramid. In the thirteenth 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 six OLiCoNi2 tetrahedra, corners with three OLiCoNi2 trigonal pyramids, an edgeedge with one OLiNi3 tetrahedra, and an edgeedge with one OLiCoNi2 trigonal pyramid. In the fourteenth 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 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 distorted OLiCoNi2 trigonal pyramids that share corners with six OLiCoNi2 tetrahedra, corners with five OLiCoNi2 trigonal pyramids, and edges with two OLiNi3 tetrahedra. 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 to one Li1+ and three Ni+3.33+ atoms to form distorted OLiNi3 tetrahedra that share corners with four OLiNi3 tetrahedra, corners with five OLiCoNi2 trigonal pyramids, an edgeedge with one OLiCoNi2 tetrahedra, and an edgeedge with one OLiCoNi2 trigonal pyramid. In the twentieth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted OLiCoNi2 tetrahedra that share corners with five OLiNi3 tetrahedra, corners with five OLiCoNi2 trigonal pyramids, an edgeedge with one OLiNi3 tetrahedra, and an edgeedge with one OLiCoNi2 trigonal pyramid. In the twenty-first O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted OLiCoNi2 tetrahedra that share corners with six OLiCoNi2 tetrahedra, corners with four OLiCoNi2 trigonal pyramids, an edgeedge with one OLiNi3 tetrahedra, and an edgeedge with one OLiCoNi2 trigonal pyramid. In the twenty-second 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 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 distorted OLiCoNi2 tetrahedr

36 MATERIALS SCIENCE↗

Materials Data on Li11Co12(PO4)12 by Materials Project

Li11Co12(PO4)12 is beta indium sulfide-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seven inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four CoO6 octahedra, corners with two equivalent PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–67°. There are a spread of Li–O bond distances ranging from 2.11–2.19 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four CoO6 octahedra, corners with two equivalent PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–66°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four CoO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two CoO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–67°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four CoO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two CoO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–67°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four CoO6 octahedra, corners with two PO4 tetrahedra, edges with two LiO6 octahedra, edges with two CoO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four CoO6 octahedra, corners with two equivalent PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–67°. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one LiO6 octahedra, edges with two CoO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–70°. There are a spread of Li–O bond distances ranging from 2.08–2.21 Å. There are six inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with three LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–70°. There are a spread of Co–O bond distances ranging from 2.00–2.25 Å. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Co–O bond distances ranging from 2.06–2.22 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with three LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–68°. There are a spread of Co–O bond distances ranging from 2.02–2.22 Å. In the fourth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–67°. There are a spread of Co–O bond distances ranging from 2.07–2.22 Å. In the fifth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–67°. There are a spread of Co–O bond distances ranging from 2.06–2.22 Å. In the sixth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–66°. There are a spread of Co–O bond distances ranging from 2.08–2.19 Å. There are six inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded in a distorted trigonal planar geometry to one Li, one Co, and one P atom. In the second O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Co, and one P atom. In the third O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Co, and one P atom. In the fourth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Co, and one P atom. In the fifth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li, one Co, and one P atom. In the sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li, one Co, and one P atom. In the seventh O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Co, and one P atom. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Co, and one P atom. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Co, and one P atom. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Co, and one P atom. In the eleventh O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Co, and one P atom. In the twelfth O site, O is bonded in a 3-coordinate geometry to two Co and one P atom. In the thirteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Co, and one P atom. In the fourteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Co, and one P atom. In the fifteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Co, and one P atom. In the sixteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Co, and one P atom. In the seventeenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Co, and one P atom. In the eighteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Co, and one P atom. In the nineteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li, one Co, and one P atom. In the twentieth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li, one Co, and one P atom. In the twenty-first O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li, one Co, and one P atom. In the twenty-second O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Co, and one P atom. In the twenty-third O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Co, and one P atom. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Co, and one P atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.22–2.30 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.22–2.34 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.49 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.52 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.16–2.51 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.50 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.20–2.48 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.53 Å. In the ninth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.50 Å. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.16–2.47 Å. In the eleventh 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 2.14–2.40 Å. In the twelfth 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 2.17–2.38 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.97–2.20 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.14 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.15 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.18 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.34 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.29 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.38 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.34 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–61°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–60°. There is one shorter (1.52 Å) and three longer (1.56 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–61°. There is one shorter (1.52 Å) and three longer (1.57 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–58°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share corners with two OLi2VP trigonal pyramids and an edgeedge with one OLi2MnP trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded to two Li1+, one V4+, and one P5+ atom to form distorted OLi2VP trigonal pyramids that share corners with two OLi2VP trigonal pyramids and an edgeedge with one OLi2MnP trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted corner-sharing OLi2MnP trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one Mn2+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP trigonal pyramids that share corners with two OLi2VP trigonal pyramids and an edgeedge with one OLi2MnP tetrahedra. In the thirty-eighth O2- sit

36 MATERIALS SCIENCE↗

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Zr–N bond distances ranging from 2.16–2.25 Å. There are one shorter (2.18 Å) and one longer (2.24 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Zr–N bond distances ranging from 2.13–2.22 Å. There are one shorter (2.25 Å) and one longer (2.31 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.25 Å. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.12–2.24 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.24 Å. In the fifth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Zr–N bond distances ranging from 2.12–2.20 Å. There are one shorter (2.35 Å) and one longer (2.36 Å) Zr–O bond lengths. In the sixth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Zr–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.30 Å) and one longer (2.31 Å) Zr–O bond lengths. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.25 Å. There are one shorter (2.28 Å) and one longer (2.29 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.18–2.22 Å. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–O bond lengths. In the ninth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Zr–N bond distances ranging from 2.11–2.22 Å. There are one shorter (2.31 Å) and one longer (2.32 Å) Zr–O bond lengths. In the tenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Zr–N bond distances ranging from 2.18–2.32 Å. The Zr–O bond length is 2.23 Å. In the eleventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.13–2.26 Å. There are one shorter (2.22 Å) and one longer (2.26 Å) Zr–O bond lengths. In the twelfth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Zr–N bond distances ranging from 2.15–2.30 Å. The Zr–O bond length is 2.27 Å. In the thirteenth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Zr–N bond distances ranging from 2.12–2.28 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.26 Å. In the fourteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Zr–N bond distances ranging from 2.14–2.26 Å. There are one shorter (2.26 Å) and one longer (2.28 Å) Zr–O bond lengths. In the fifteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.25 Å. The Zr–O bond length is 2.25 Å. In the sixteenth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.16–2.19 Å. There are a spread of Zr–O bond distances ranging from 2.15–2.24 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Zr4+ atoms. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with four OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, and edges with four NZr4 trigonal pyramids. In the third O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with four OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.13 Å. There are one shorter (2.19 Å) and two longer (2.23 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to two N3- and four O2- atoms to form a mixture of distorted corner and edge-sharing HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are one shorter (2.11 Å) and one longer (2.14 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.09–2.20 Å. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.14–2.22 Å. There are one shorter (2.13 Å) and one longer (2.21 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN5O octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.07–2.11 Å. There are a spread of Hf–O bond distances ranging from 2.19–2.30 Å. In the fifth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.09–2.29 Å. Both Hf–O bond lengths are 2.21 Å. In the sixth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. The Hf–O bond length is 2.33 Å. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.20 Å. There are one shorter (2.15 Å) and one longer (2.20 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.17 Å. There are one shorter (2.27 Å) and one longer (2.29 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are two shorter (2.11 Å) and one longer (2.19 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.13–2.20 Å. In the tenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.11–2.21 Å. The Hf–O bond length is 2.27 Å. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.24 Å. There are one shorter (2.21 Å) and one longer (2.24 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.16 Å) and one longer (2.24 Å) Hf–O bond lengths. In the thirteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. The Hf–O bond length is 2.31 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.21 Å. There are one shorter (2.17 Å) and one longer (2.33 Å) Hf–O bond lengths. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.24 Å. The Hf–O bond length is 2.21 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.14–2.25 Å. The Hf–O bond length is 2.20 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourth O2- site, O2- is bond

36 MATERIALS SCIENCE↗

Materials Data on Ti2N2O by Materials Project

Ti2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ti–N bond distances ranging from 2.02–2.07 Å. Both Ti–O bond lengths are 2.03 Å. In the second Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of corner and edge-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Ti–N bond distances ranging from 1.96–2.08 Å. There are one shorter (2.09 Å) and one longer (2.15 Å) Ti–O bond lengths. In the third Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN5O pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN4O2 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Ti–N bond distances ranging from 1.96–2.06 Å. There are a spread of Ti–O bond distances ranging from 2.01–2.13 Å. In the fourth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN5O pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN4O2 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 2.02–2.08 Å. There are one shorter (1.99 Å) and one longer (2.10 Å) Ti–O bond lengths. In the fifth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN5O pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN4O2 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Ti–N bond distances ranging from 1.98–2.09 Å. Both Ti–O bond lengths are 2.10 Å. In the sixth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN4O2 pentagonal pyramid, edges with five TiN3O3 octahedra, and an edgeedge with one TiN5O pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Ti–N bond distances ranging from 1.97–2.08 Å. There are one shorter (2.12 Å) and one longer (2.14 Å) Ti–O bond lengths. In the seventh Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with four TiN3O3 octahedra, corners with two TiN4O2 pentagonal pyramids, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Ti–N bond distances ranging from 1.96–2.13 Å. There are one shorter (2.12 Å) and one longer (2.13 Å) Ti–O bond lengths. In the eighth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with six TiN4O2 octahedra, edges with four TiN3O3 octahedra, and edges with two TiN4O2 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Ti–N bond distances ranging from 1.93–2.07 Å. Both Ti–O bond lengths are 2.16 Å. In the ninth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 pentagonal pyramids that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–N bond distances ranging from 1.96–2.08 Å. There are one shorter (2.08 Å) and one longer (2.14 Å) Ti–O bond lengths. In the tenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of corner and edge-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Ti–N bond distances ranging from 2.01–2.07 Å. There are one shorter (2.00 Å) and one longer (2.06 Å) Ti–O bond lengths. In the eleventh Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing TiN5O pentagonal pyramids. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 2.01–2.13 Å. The Ti–O bond length is 2.09 Å. In the twelfth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN5O pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN4O2 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Ti–N bond distances ranging from 1.97–2.11 Å. The Ti–O bond length is 2.15 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN4O2 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN5O pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Ti–N bond distances ranging from 1.97–2.12 Å. There are a spread of Ti–O bond distances ranging from 2.03–2.08 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN4O2 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN5O pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Ti–N bond distances ranging from 1.98–2.10 Å. There are one shorter (2.12 Å) and one longer (2.18 Å) Ti–O bond lengths. In the fifteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN4O2 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN5O pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Ti–N bond distances ranging from 2.03–2.08 Å. The Ti–O bond length is 2.10 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–N bond distances ranging from 2.00–2.08 Å. There are a spread of Ti–O bond distances ranging from 1.98–2.08 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the second N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the third N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the tenth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the eleventh N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with three NTi4 trigonal pyramids. In the second O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the third O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners wi

36 MATERIALS SCIENCE↗

Materials Data on Ti2N2O by Materials Project

Ti2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form TiN3O3 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Ti–N bond distances ranging from 1.96–2.00 Å. There are a spread of Ti–O bond distances ranging from 2.07–2.12 Å. In the second Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Ti–N bond distances ranging from 2.00–2.06 Å. There are a spread of Ti–O bond distances ranging from 1.99–2.09 Å. In the third Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with six TiN5O octahedra, edges with four TiN3O3 octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Ti–N bond distances ranging from 1.96–2.00 Å. There are a spread of Ti–O bond distances ranging from 2.09–2.13 Å. In the fourth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with four TiN3O3 octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN5O octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–N bond distances ranging from 2.00–2.09 Å. There are one shorter (2.02 Å) and one longer (2.05 Å) Ti–O bond lengths. In the fifth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 pentagonal pyramids that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Ti–N bond distances ranging from 1.91–2.05 Å. There are a spread of Ti–O bond distances ranging from 2.02–2.18 Å. In the sixth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form TiN5O octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Ti–N bond distances ranging from 1.94–2.10 Å. The Ti–O bond length is 2.22 Å. In the seventh Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Ti–N bond distances ranging from 1.96–2.10 Å. There are one shorter (1.99 Å) and two longer (2.11 Å) Ti–O bond lengths. In the eighth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with four TiN4O2 octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are one shorter (2.03 Å) and three longer (2.04 Å) Ti–N bond lengths. There are one shorter (2.04 Å) and one longer (2.05 Å) Ti–O bond lengths. In the ninth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Ti–N bond distances ranging from 1.93–2.06 Å. There are one shorter (2.15 Å) and one longer (2.18 Å) Ti–O bond lengths. In the tenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 2.01–2.08 Å. There are one shorter (2.02 Å) and one longer (2.05 Å) Ti–O bond lengths. In the eleventh Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Ti–N bond distances ranging from 2.00–2.08 Å. Both Ti–O bond lengths are 2.05 Å. In the twelfth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with six TiN3O3 octahedra, edges with four TiN4O2 octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Ti–N bond distances ranging from 1.99–2.10 Å. The Ti–O bond length is 2.16 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing TiN5O octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 1.99–2.09 Å. The Ti–O bond length is 2.11 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN3O3 octahedra, edges with four TiN5O octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Ti–N bond distances ranging from 1.98–2.07 Å. There are one shorter (2.10 Å) and one longer (2.15 Å) Ti–O bond lengths. In the fifteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with four TiN5O octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Ti–N bond distances ranging from 2.02–2.09 Å. The Ti–O bond length is 2.09 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Ti–N bond distances ranging from 2.02–2.09 Å. The Ti–O bond length is 2.08 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with nine NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the second N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the third N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, and edges with three NTi4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with three NTi4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the twelfth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the thirteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the second O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with three NTi4 trigonal pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti4+ atoms. In the fourth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal

36 MATERIALS SCIENCE↗

Materials Data on LiCoPO4F by Materials Project

LiCoPO4F 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- and one F1- atom to form distorted LiO4F trigonal bipyramids that share corners with two CoO4F2 octahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO3F2 trigonal bipyramid, and edges with two CoO4F2 octahedra. The corner-sharing octahedra tilt angles range from 63–64°. There are a spread of Li–O bond distances ranging from 1.98–2.31 Å. The Li–F bond length is 2.00 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to four O2- and one F1- atom. There are a spread of Li–O bond distances ranging from 1.88–2.52 Å. The Li–F bond length is 2.37 Å. In the third Li1+ site, Li1+ is bonded to three O2- and two F1- atoms to form distorted LiO3F2 trigonal bipyramids that share corners with two CoO4F2 octahedra, corners with three PO4 tetrahedra, a cornercorner with one LiO4F trigonal bipyramid, and edges with two CoO4F2 octahedra. The corner-sharing octahedra tilt angles range from 63–68°. There are a spread of Li–O bond distances ranging from 1.89–2.06 Å. There are one shorter (2.04 Å) and one longer (2.34 Å) Li–F bond lengths. In the fourth Li1+ site, Li1+ is bonded to four O2- and one F1- atom to form LiO4F trigonal bipyramids that share corners with two CoO4F2 octahedra, corners with four PO4 tetrahedra, and edges with two CoO4F2 octahedra. The corner-sharing octahedra tilt angles range from 64–65°. There are a spread of Li–O bond distances ranging from 1.96–2.22 Å. The Li–F bond length is 2.07 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to four O2- and one F1- atom. There are a spread of Li–O bond distances ranging from 1.89–2.37 Å. The Li–F bond length is 2.49 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to four O2- and one F1- atom. There are a spread of Li–O bond distances ranging from 1.96–2.33 Å. The Li–F bond length is 2.51 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- and one F1- atom to form LiO4F trigonal bipyramids that share corners with two CoO4F2 octahedra, corners with four PO4 tetrahedra, and edges with two CoO4F2 octahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Li–O bond distances ranging from 1.95–2.19 Å. The Li–F bond length is 2.00 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to three O2- and two F1- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. There are one shorter (1.91 Å) and one longer (2.49 Å) Li–F bond lengths. There are eight inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to four O2- and two F1- atoms to form CoO4F2 octahedra that share corners with four PO4 tetrahedra, edges with two equivalent CoO4F2 octahedra, and edges with two LiO4F trigonal bipyramids. There are a spread of Co–O bond distances ranging from 1.90–2.09 Å. There are one shorter (1.98 Å) and one longer (2.02 Å) Co–F bond lengths. In the second Co3+ site, Co3+ is bonded to four O2- and two F1- atoms to form CoO4F2 octahedra that share corners with four PO4 tetrahedra, edges with two equivalent CoO4F2 octahedra, and edges with two LiO4F trigonal bipyramids. There are a spread of Co–O bond distances ranging from 1.89–2.16 Å. There are one shorter (1.99 Å) and one longer (2.06 Å) Co–F bond lengths. In the third Co3+ site, Co3+ is bonded to four O2- and two F1- atoms to form CoO4F2 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO4F trigonal bipyramid, and edges with two equivalent CoO4F2 octahedra. There are a spread of Co–O bond distances ranging from 1.86–2.12 Å. There are one shorter (2.01 Å) and one longer (2.16 Å) Co–F bond lengths. In the fourth Co3+ site, Co3+ is bonded to four O2- and two F1- atoms to form CoO4F2 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO4F trigonal bipyramid, and edges with two equivalent CoO4F2 octahedra. There are a spread of Co–O bond distances ranging from 1.89–2.10 Å. There are one shorter (1.95 Å) and one longer (2.05 Å) Co–F bond lengths. In the fifth Co3+ site, Co3+ is bonded to four O2- and two F1- atoms to form CoO4F2 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO3F2 trigonal bipyramid, edges with two equivalent CoO4F2 octahedra, and an edgeedge with one LiO4F trigonal bipyramid. There are a spread of Co–O bond distances ranging from 1.83–2.23 Å. There are one shorter (1.99 Å) and one longer (2.12 Å) Co–F bond lengths. In the sixth Co3+ site, Co3+ is bonded to four O2- and two F1- atoms to form CoO4F2 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO3F2 trigonal bipyramid, edges with two equivalent CoO4F2 octahedra, and an edgeedge with one LiO4F trigonal bipyramid. There are a spread of Co–O bond distances ranging from 1.88–2.14 Å. There is one shorter (1.95 Å) and one longer (2.03 Å) Co–F bond length. In the seventh Co3+ site, Co3+ is bonded to four O2- and two F1- atoms to form CoO4F2 octahedra that share corners with four PO4 tetrahedra, corners with two LiO4F trigonal bipyramids, edges with two equivalent CoO4F2 octahedra, and an edgeedge with one LiO3F2 trigonal bipyramid. There are a spread of Co–O bond distances ranging from 1.89–2.17 Å. There are one shorter (2.01 Å) and one longer (2.02 Å) Co–F bond lengths. In the eighth Co3+ site, Co3+ is bonded to four O2- and two F1- atoms to form CoO4F2 octahedra that share corners with four PO4 tetrahedra, corners with two LiO4F trigonal bipyramids, edges with two equivalent CoO4F2 octahedra, and an edgeedge with one LiO3F2 trigonal bipyramid. There are a spread of Co–O bond distances ranging from 1.84–2.07 Å. There are one shorter (2.06 Å) and one longer (2.09 Å) Co–F bond lengths. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO4F2 octahedra and a cornercorner with one LiO4F trigonal bipyramid. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO4F2 octahedra and corners with two equivalent LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO4F2 octahedra and a cornercorner with one LiO3F2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO4F2 octahedra and corners with two LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO4F2 octahedra and corners with three LiO3F2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO4F2 octahedra and corners with two equivalent LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO4F2 octahedra and corners with two equivalent LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO4F2 octahedra and corners with two LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Co3+, and one P5+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Co3+ and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Co3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Co3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Li1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Co3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Co3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Co3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Co3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Co3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one Co3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Co3+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Co3+, and one P5+ atom. There are ei

36 MATERIALS SCIENCE↗