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Materials Data on Ti20(Sb3Se)3 by Materials Project

Ti20(Sb3Se)3 crystallizes in the orthorhombic Pmn2_1 space group. The structure is three-dimensional. there are thirteen inequivalent Ti sites. In the first Ti site, Ti is bonded in a 5-coordinate geometry to four Sb and one Se atom. There are three shorter (2.79 Å) and one longer (2.80 Å) Ti–Sb bond lengths. The Ti–Se bond length is 2.69 Å. In the second Ti site, Ti is bonded in a 5-coordinate geometry to four Sb and one Se atom. There are two shorter (2.79 Å) and two longer (2.93 Å) Ti–Sb bond lengths. The Ti–Se bond length is 2.54 Å. In the third Ti site, Ti is bonded in a 5-coordinate geometry to five Sb atoms. There are a spread of Ti–Sb bond distances ranging from 2.72–2.91 Å. In the fourth Ti site, Ti is bonded in a 6-coordinate geometry to four Sb and two equivalent Se atoms. There are a spread of Ti–Sb bond distances ranging from 2.80–2.86 Å. There are one shorter (2.58 Å) and one longer (3.00 Å) Ti–Se bond lengths. In the fifth Ti site, Ti is bonded in a 2-coordinate geometry to three Sb and two Se atoms. There are a spread of Ti–Sb bond distances ranging from 2.90–2.96 Å. There are one shorter (2.62 Å) and one longer (2.64 Å) Ti–Se bond lengths. In the sixth Ti site, Ti is bonded in a 5-coordinate geometry to four Sb and one Se atom. There are a spread of Ti–Sb bond distances ranging from 2.76–2.91 Å. The Ti–Se bond length is 2.60 Å. In the seventh Ti site, Ti is bonded to four Sb and one Se atom to form distorted face-sharing TiSb4Se square pyramids. There are two shorter (2.78 Å) and two longer (2.80 Å) Ti–Sb bond lengths. The Ti–Se bond length is 2.70 Å. In the eighth Ti site, Ti is bonded to five Sb atoms to form distorted face-sharing TiSb5 square pyramids. There are a spread of Ti–Sb bond distances ranging from 2.79–2.81 Å. In the ninth Ti site, Ti is bonded in a 5-coordinate geometry to four Sb and one Se atom. There are a spread of Ti–Sb bond distances ranging from 2.79–2.92 Å. The Ti–Se bond length is 2.56 Å. In the tenth Ti site, Ti is bonded to five Sb and one Se atom to form distorted face-sharing TiSb5Se octahedra. There are a spread of Ti–Sb bond distances ranging from 2.79–2.83 Å. The Ti–Se bond length is 2.76 Å. In the eleventh Ti site, Ti is bonded in a 6-coordinate geometry to five Sb and one Se atom. There are a spread of Ti–Sb bond distances ranging from 2.80–3.00 Å. The Ti–Se bond length is 2.60 Å. In the twelfth Ti site, Ti is bonded in a 2-coordinate geometry to three Sb and two Se atoms. There are two shorter (2.89 Å) and one longer (2.96 Å) Ti–Sb bond lengths. There are one shorter (2.62 Å) and one longer (2.64 Å) Ti–Se bond lengths. In the thirteenth Ti site, Ti is bonded in a 5-coordinate geometry to four Sb and one Se atom. There are a spread of Ti–Sb bond distances ranging from 2.76–2.95 Å. The Ti–Se bond length is 2.60 Å. There are five inequivalent Sb sites. In the first Sb site, Sb is bonded in a 9-coordinate geometry to nine Ti atoms. In the second Sb site, Sb is bonded in a 9-coordinate geometry to nine Ti atoms. In the third Sb site, Sb is bonded in a 9-coordinate geometry to nine Ti atoms. In the fourth Sb site, Sb is bonded in a 9-coordinate geometry to nine Ti atoms. In the fifth Sb site, Sb is bonded in a 8-coordinate geometry to eight Ti atoms. There are two inequivalent Se sites. In the first Se site, Se is bonded in a 8-coordinate geometry to eight Ti atoms. In the second Se site, Se is bonded in a 8-coordinate geometry to eight Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Ti4O9 by Materials Project

Ba4Ti4O9 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.84–2.94 Å. In the second Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–2.93 Å. In the third Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–2.93 Å. In the fourth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–2.93 Å. In the fifth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–2.93 Å. In the sixth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.84–2.94 Å. There are twelve inequivalent Ti+2.50+ sites. In the first Ti+2.50+ site, Ti+2.50+ is bonded to five O2- atoms to form corner-sharing TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. In the second Ti+2.50+ site, Ti+2.50+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are three shorter (1.99 Å) and one longer (2.01 Å) Ti–O bond lengths. In the third Ti+2.50+ site, Ti+2.50+ is bonded to five O2- atoms to form corner-sharing TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the fourth Ti+2.50+ site, Ti+2.50+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Ti–O bond distances ranging from 1.98–2.01 Å. In the fifth Ti+2.50+ site, Ti+2.50+ is bonded to five O2- atoms to form corner-sharing TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the sixth Ti+2.50+ site, Ti+2.50+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Ti–O bond distances ranging from 1.98–2.01 Å. In the seventh Ti+2.50+ site, Ti+2.50+ is bonded to five O2- atoms to form corner-sharing TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 1.91–2.05 Å. In the eighth Ti+2.50+ site, Ti+2.50+ is bonded to five O2- atoms to form corner-sharing TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 1.92–2.03 Å. In the ninth Ti+2.50+ site, Ti+2.50+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Ti–O bond distances ranging from 1.99–2.01 Å. In the tenth Ti+2.50+ site, Ti+2.50+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Ti–O bond distances ranging from 1.98–2.02 Å. In the eleventh Ti+2.50+ site, Ti+2.50+ is bonded in a square co-planar geometry to four O2- atoms. There are three shorter (1.99 Å) and one longer (2.02 Å) Ti–O bond lengths. In the twelfth Ti+2.50+ site, Ti+2.50+ is bonded to five O2- atoms to form corner-sharing TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. There are twenty-one inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti+2.50+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Ti+2.50+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ti+2.50+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Ti+2.50+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ti+2.50+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Ti+2.50+ atoms. In the seventh O2- site, O2- is bonded to four Ba2+ and two Ti+2.50+ atoms to form a mixture of distorted edge and corner-sharing OBa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Ti+2.50+ atoms. In the ninth O2- site, O2- is bonded to four Ba2+ and two Ti+2.50+ atoms to form a mixture of distorted edge and corner-sharing OBa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti+2.50+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti+2.50+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti+2.50+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti+2.50+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Ti+2.50+ atoms. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ti+2.50+ atoms. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ti+2.50+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Ti+2.50+ atoms. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ti+2.50+ atoms. In the nineteenth O2- site, O2- is bonded to four Ba2+ and two Ti+2.50+ atoms to form distorted edge-sharing OBa4Ti2 octahedra. In the twentieth O2- site, O2- is bonded in a distorted octahedral geometry to four Ba2+ and two Ti+2.50+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti+2.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti11H7O24 by Materials Project

Ti11H7O24 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eleven inequivalent Ti+3.73+ sites. In the first Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ti–O bond distances ranging from 1.85–2.11 Å. In the second Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.87–2.20 Å. In the third Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.83–2.20 Å. In the fourth Ti+3.73+ site, Ti+3.73+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.68–2.36 Å. In the fifth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.05 Å. In the sixth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. In the seventh Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.08 Å. In the eighth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the ninth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.89–2.18 Å. In the tenth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.15 Å. In the eleventh Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ti–O bond distances ranging from 1.84–2.20 Å. There are seven inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti+3.73+ atoms. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Ti+3.73+ and one H1+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three Ti+3.73+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Ti+3.73+ atoms. In the sixth O2- site, O2- is bonded in a single-bond geometry to one Ti+3.73+ atom. In the seventh O2- site, O2- is bonded in a water-like geometry to two equivalent Ti+3.73+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the tenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti+3.73+ atoms. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to three Ti+3.73+ and one H1+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.73+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Ti+3.73+ and one H1+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.73+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Ti+3.73+ and one H1+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to three Ti+3.73+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the twenty-second O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti+3.73+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to three Ti+3.73+ and one H1+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Ti+3.73+ and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba2LiTi11O24 by Materials Project

LiBa2Ti11O24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four TiO6 octahedra and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Li–O bond distances ranging from 2.00–2.30 Å. There are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.74–3.28 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–3.29 Å. There are eleven inequivalent Ti+3.91+ sites. In the first Ti+3.91+ site, Ti+3.91+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–54°. There are a spread of Ti–O bond distances ranging from 1.89–2.07 Å. In the second Ti+3.91+ site, Ti+3.91+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of Ti–O bond distances ranging from 1.88–2.06 Å. In the third Ti+3.91+ site, Ti+3.91+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the fourth Ti+3.91+ site, Ti+3.91+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of Ti–O bond distances ranging from 1.90–2.04 Å. In the fifth Ti+3.91+ site, Ti+3.91+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Ti–O bond distances ranging from 1.88–2.07 Å. In the sixth Ti+3.91+ site, Ti+3.91+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There are a spread of Ti–O bond distances ranging from 1.86–2.09 Å. In the seventh Ti+3.91+ site, Ti+3.91+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–51°. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. In the eighth Ti+3.91+ site, Ti+3.91+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of Ti–O bond distances ranging from 1.85–2.10 Å. In the ninth Ti+3.91+ site, Ti+3.91+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the tenth Ti+3.91+ site, Ti+3.91+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–54°. There are a spread of Ti–O bond distances ranging from 1.91–2.06 Å. In the eleventh Ti+3.91+ site, Ti+3.91+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.02 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Ba2+, and two Ti+3.91+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.91+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ba2+, and two Ti+3.91+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.91+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Ti+3.91+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.91+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.91+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.91+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Ba2+ and three Ti+3.91+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.91+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Ti+3.91+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Ti+3.91+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.91+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.91+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.91+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ba2+ and three Ti+3.91+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.91+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.91+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.91+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.91+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.91+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Ba2+, and two Ti+3.91+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.91+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.91+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the orthorhombic Ama2 space group. The structure is three-dimensional. there are ten inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–51°. The Ti–N bond length is 2.12 Å. There are a spread of Ti–O bond distances ranging from 1.91–2.08 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.17 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–51°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.14 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 30–53°. The Ti–N bond length is 2.05 Å. There are a spread of Ti–O bond distances ranging from 1.77–2.23 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.96 Å) and one longer (2.01 Å) Ti–N bond length. There are two shorter (1.96 Å) and two longer (2.17 Å) Ti–O bond lengths. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two equivalent N3- and four O2- atoms. Both Ti–N bond lengths are 2.02 Å. There are two shorter (1.94 Å) and two longer (2.19 Å) Ti–O bond lengths. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.96 Å) and one longer (2.02 Å) Ti–N bond length. There are two shorter (1.95 Å) and two longer (2.17 Å) Ti–O bond lengths. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.04 Å) and one longer (2.05 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.93–2.18 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–53°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.12 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–48°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.18 Å. There are five inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two equivalent NTi4 trigonal pyramids, corners with two equivalent OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the third N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with two NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the fifth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two equivalent OTi4 trigonal pyramids and edges with four OTi4 trigonal pyramids. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the third O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the seventh O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two equivalent NTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Na7La7Th2Ti18O54 by Materials Project

Na7Th2La7Ti18O54 is Orthorhombic Perovskite-derived structured and crystallizes in the orthorhombic Fmm2 space group. The structure is three-dimensional. there are seven inequivalent Na sites. In the first Na site, Na is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Na–O bond distances ranging from 2.47–2.80 Å. In the second Na site, Na is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of Na–O bond distances ranging from 2.55–3.02 Å. In the third Na site, Na is bonded in a 12-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.53–2.74 Å. In the fourth Na site, Na is bonded in a 12-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.54–2.74 Å. In the fifth Na site, Na is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of Na–O bond distances ranging from 2.53–2.98 Å. In the sixth Na site, Na is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Na–O bond distances ranging from 2.51–2.89 Å. In the seventh Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.51–2.74 Å. There are two inequivalent Th sites. In the first Th site, Th is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Th–O bond distances ranging from 2.39–2.74 Å. In the second Th site, Th is bonded in a 12-coordinate geometry to ten O atoms. There are a spread of Th–O bond distances ranging from 2.38–2.80 Å. There are seven inequivalent La sites. In the first La site, La is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of La–O bond distances ranging from 2.41–3.11 Å. In the second La site, La is bonded to twelve O atoms to form distorted LaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra and faces with eight TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.47–3.04 Å. In the third La site, La is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of La–O bond distances ranging from 2.47–3.10 Å. In the fourth La site, La is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of La–O bond distances ranging from 2.47–3.07 Å. In the fifth La site, La is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of La–O bond distances ranging from 2.47–3.09 Å. In the sixth La site, La is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of La–O bond distances ranging from 2.48–3.07 Å. In the seventh La site, La is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of La–O bond distances ranging from 2.43–3.04 Å. There are ten inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–20°. There are a spread of Ti–O bond distances ranging from 1.96–1.99 Å. In the third Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–22°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. In the fourth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–22°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. In the fifth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–22°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. In the sixth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. In the seventh Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–23°. There are a spread of Ti–O bond distances ranging from 1.84–2.13 Å. In the eighth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–30°. There are a spread of Ti–O bond distances ranging from 1.90–2.00 Å. In the ninth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–25°. There are a spread of Ti–O bond distances ranging from 1.86–2.07 Å. In the tenth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–23°. There are a spread of Ti–O bond distances ranging from 1.84–2.13 Å. There are twenty-seven inequivalent O sites. In the first O site, O is bonded to two equivalent Na, two equivalent La, and two Ti atoms to form a mixture of distorted edge and corner-sharing ONa2La2Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the second O site, O is bonded in a 5-coordinate geometry to one Na, two La, and two equivalent Ti atoms. In the third O site, O is bonded in a 3-coordinate geometry to one Na, two La, and two equivalent Ti atoms. In the fourth O site, O is bonded in a distorted linear geometry to two equivalent La and two Ti atoms. In the fifth O site, O is bonded in a 3-coordinate geometry to one Na, two La, and two equivalent Ti atoms. In the sixth O site, O is bonded in a 4-coordinate geometry to one Na, two La, and two equivalent Ti atoms. In the seventh O site, O is bonded in a distorted linear geometry to two equivalent Na, two equivalent La, and two Ti atoms. In the eighth O site, O is bonded in a 4-coordinate geometry to one Na, two La, and two equivalent Ti atoms. In the ninth O site, O is bonded in a 4-coordinate geometry to two Na, two La, and two equivalent Ti atoms. In the tenth O site, O is bonded to two equivalent Na, two equivalent La, and two Ti atoms to form a mixture of distorted edge and corner-sharing ONa2La2Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the eleventh O site, O is bonded in a 4-coordinate geometry to one Na, two La, and two equivalent Ti atoms. In the twelfth O site, O is bonded in a 4-coordinate geometry to one Na, two La, and two equivalent Ti atoms. In the thirteenth O site, O is bonded to two equivalent Na, two equivalent La, and two Ti atoms to form a mixture of distorted edge and corner-sharing ONa2La2Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourteenth O site, O is bonded in a 4-coordinate geometry to two Na, two La, and two equivalent Ti atoms. In the fifteenth O site, O is bonded in a 4-coordinate geometry to one Na, two La, and two equivalent Ti atoms. In the sixteenth O site, O is bonded in a distorted linear geometry to two equivalent Na, two equivalent La, and two Ti atoms. In the seventeenth O site, O is bonded in a 4-coordinate geometry to one Na, two La, and two equivalent Ti atoms. In the eighteenth O site, O is bonded in a 3-coordinate geometry to one Na, two La, and two equivalent Ti atoms. In the nineteenth O site, O is bonded in a distorted linear geometry to two equivalent La and two Ti atoms. In the twentieth O site, O is bonded in a 5-coordinate geometry to one Na, one Th, one La, and two equivalent Ti atoms. In the twenty-first O site, O is bonded in a 5-coordinate geometry to one Na, one Th, one La, and two equivalent Ti atoms. In the twenty-second O site, O is bonded in a 6-coordinate geometry to two equivalent Na, two equivalent Th, and two Ti atoms. In the twenty-third O site, O is bonded in a 4-coordinate geometry to one Na, one Th, and two equivalent Ti atoms. In the twenty-fourth O site, O is bonded in a 4-coordinate geometry to one Na, one Th, and two equivalent Ti atoms. In the twenty-fifth O site, O is bonded to two equivalent Na, two equivalent Th, and two Ti atoms to form distorted ONa2Th2Ti2 octahedra that share corners with five ONa2La2Ti2 octahedra and edges with four equivalent ONa2Th2Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twenty-sixth O site, O is bonded in a 2-coordinate geometry to one Th, one La, and two equivalent Ti atoms. In the twenty-seventh O site, O is bonded in a 2-coordinate geometry to two Na, one Th, one La, and two equivalent Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are nine inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–56°. The Ti–N bond length is 2.04 Å. There are a spread of Ti–O bond distances ranging from 1.77–2.22 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.07 Å) Ti–N bond lengths. There are two shorter (1.92 Å) and two longer (2.16 Å) Ti–O bond lengths. In the third Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–51°. The Ti–N bond length is 2.12 Å. There are a spread of Ti–O bond distances ranging from 1.92–2.10 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–48°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.18 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (1.99 Å) and one longer (2.09 Å) Ti–N bond lengths. There are two shorter (1.94 Å) and two longer (2.18 Å) Ti–O bond lengths. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. Both Ti–N bond lengths are 1.94 Å. There are two shorter (1.99 Å) and two longer (2.18 Å) Ti–O bond lengths. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.00 Å) and one longer (2.05 Å) Ti–N bond lengths. There are two shorter (1.95 Å) and two longer (2.17 Å) Ti–O bond lengths. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–53°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.15 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–50°. The Ti–N bond length is 1.97 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two equivalent NTi4 trigonal pyramids and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two equivalent NTi4 trigonal pyramids, corners with two equivalent OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the third N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the fourth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. Both N–Ti bond lengths are 1.91 Å. In the fifth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two equivalent NTi4 trigonal pyramids, corners with two equivalent OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two equivalent NTi4 trigonal pyramids, corners with two equivalent OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. The O–Ti bond length is 2.18 Å. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventh O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. The O–Ti bond length is 2.18 Å. In the eighth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, a cornercorner with one OTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eleventh O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on La4Ti5(S6O)2 by Materials Project

La4Ti5(S6O)2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 1-coordinate geometry to eight S2- and one O2- atom. There are a spread of La–S bond distances ranging from 2.93–3.17 Å. The La–O bond length is 2.48 Å. In the second La3+ site, La3+ is bonded in a 1-coordinate geometry to eight S2- and one O2- atom. There are a spread of La–S bond distances ranging from 2.91–3.20 Å. The La–O bond length is 2.50 Å. In the third La3+ site, La3+ is bonded in a 1-coordinate geometry to eight S2- and one O2- atom. There are a spread of La–S bond distances ranging from 2.90–3.14 Å. The La–O bond length is 2.47 Å. In the fourth La3+ site, La3+ is bonded in a 1-coordinate geometry to eight S2- and one O2- atom. There are a spread of La–S bond distances ranging from 2.91–3.20 Å. The La–O bond length is 2.50 Å. There are ten inequivalent Ti+3.20+ sites. In the first Ti+3.20+ site, Ti+3.20+ is bonded to four S2- and two O2- atoms to form distorted TiS4O2 octahedra that share corners with two equivalent TiS6 octahedra, an edgeedge with one TiS6 octahedra, and a faceface with one TiS4O2 octahedra. The corner-sharing octahedral tilt angles are 52°. There are two shorter (2.39 Å) and two longer (2.59 Å) Ti–S bond lengths. Both Ti–O bond lengths are 1.98 Å. In the second Ti+3.20+ site, Ti+3.20+ is bonded in a 6-coordinate geometry to four S2- and two O2- atoms. There are two shorter (2.34 Å) and two longer (2.68 Å) Ti–S bond lengths. Both Ti–O bond lengths are 1.97 Å. In the third Ti+3.20+ site, Ti+3.20+ is bonded to four S2- and two O2- atoms to form distorted TiS4O2 octahedra that share corners with four TiS6 octahedra, an edgeedge with one TiS6 octahedra, and a faceface with one TiS4O2 octahedra. The corner-sharing octahedra tilt angles range from 36–52°. There are two shorter (2.37 Å) and two longer (2.60 Å) Ti–S bond lengths. There is one shorter (1.97 Å) and one longer (1.99 Å) Ti–O bond length. In the fourth Ti+3.20+ site, Ti+3.20+ is bonded in a 6-coordinate geometry to four S2- and two O2- atoms. There are two shorter (2.34 Å) and two longer (2.67 Å) Ti–S bond lengths. Both Ti–O bond lengths are 1.97 Å. In the fifth Ti+3.20+ site, Ti+3.20+ is bonded to six S2- atoms to form edge-sharing TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.44–2.50 Å. In the sixth Ti+3.20+ site, Ti+3.20+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with two equivalent TiS6 octahedra and an edgeedge with one TiS4O2 octahedra. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ti–S bond distances ranging from 2.43–2.48 Å. In the seventh Ti+3.20+ site, Ti+3.20+ is bonded to six S2- atoms to form corner-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 30–32°. There are a spread of Ti–S bond distances ranging from 2.32–2.87 Å. In the eighth Ti+3.20+ site, Ti+3.20+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with four TiS4O2 octahedra and an edgeedge with one TiS6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Ti–S bond distances ranging from 2.26–2.68 Å. In the ninth Ti+3.20+ site, Ti+3.20+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Ti–S bond distances ranging from 2.45–2.85 Å. In the tenth Ti+3.20+ site, Ti+3.20+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six TiS4O2 octahedra and an edgeedge with one TiS6 octahedra. The corner-sharing octahedra tilt angles range from 30–45°. There are a spread of Ti–S bond distances ranging from 2.41–2.87 Å. There are eighteen inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to two La3+ and three Ti+3.20+ atoms. In the second S2- site, S2- is bonded in a 4-coordinate geometry to two La3+ and two Ti+3.20+ atoms. In the third S2- site, S2- is bonded in a 5-coordinate geometry to two La3+ and three Ti+3.20+ atoms. In the fourth S2- site, S2- is bonded in a 4-coordinate geometry to two La3+ and two Ti+3.20+ atoms. In the fifth S2- site, S2- is bonded in a 5-coordinate geometry to five Ti+3.20+ atoms. In the sixth S2- site, S2- is bonded in a 1-coordinate geometry to four La3+ and one Ti+3.20+ atom. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to four La3+ and one Ti+3.20+ atom. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to four La3+ and one Ti+3.20+ atom. In the ninth S2- site, S2- is bonded in a 1-coordinate geometry to four La3+ and one Ti+3.20+ atom. In the tenth S2- site, S2- is bonded in a 6-coordinate geometry to four La3+ and two Ti+3.20+ atoms. In the eleventh S2- site, S2- is bonded in a 6-coordinate geometry to four La3+ and two Ti+3.20+ atoms. In the twelfth S2- site, S2- is bonded to four La3+ and two Ti+3.20+ atoms to form distorted SLa4Ti2 pentagonal pyramids that share corners with four OLa2Ti2 tetrahedra, a cornercorner with one SLa2Ti2 trigonal pyramid, faces with two equivalent SLa4Ti square pyramids, and a faceface with one SLa2Ti2 trigonal pyramid. In the thirteenth S2- site, S2- is bonded in a 6-coordinate geometry to four La3+ and two Ti+3.20+ atoms. In the fourteenth S2- site, S2- is bonded to four La3+ and one Ti+3.20+ atom to form distorted SLa4Ti square pyramids that share a cornercorner with one SLa4Ti square pyramid, corners with four OLa2Ti2 tetrahedra, corners with two SLa2Ti2 trigonal pyramids, and a faceface with one SLa4Ti2 pentagonal pyramid. In the fifteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent La3+ and two Ti+3.20+ atoms. In the sixteenth S2- site, S2- is bonded to two equivalent La3+ and two Ti+3.20+ atoms to form SLa2Ti2 trigonal pyramids that share a cornercorner with one SLa4Ti2 pentagonal pyramid, corners with two equivalent SLa4Ti square pyramids, corners with two equivalent OLa2Ti2 tetrahedra, and an edgeedge with one SLa2Ti2 trigonal pyramid. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to two equivalent La3+ and one Ti+3.20+ atom. In the eighteenth S2- site, S2- is bonded to two equivalent La3+ and two Ti+3.20+ atoms to form distorted SLa2Ti2 trigonal pyramids that share corners with two equivalent SLa4Ti square pyramids, corners with two equivalent OLa2Ti2 tetrahedra, an edgeedge with one SLa2Ti2 trigonal pyramid, and a faceface with one SLa4Ti2 pentagonal pyramid. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent La3+ and two Ti+3.20+ atoms to form distorted OLa2Ti2 tetrahedra that share corners with two equivalent SLa4Ti square pyramids and corners with two OLa2Ti2 tetrahedra. In the second O2- site, O2- is bonded to two equivalent La3+ and two Ti+3.20+ atoms to form distorted OLa2Ti2 tetrahedra that share corners with two equivalent SLa4Ti2 pentagonal pyramids, corners with two equivalent SLa4Ti square pyramids, corners with two OLa2Ti2 tetrahedra, and corners with two equivalent SLa2Ti2 trigonal pyramids. In the third O2- site, O2- is bonded to two equivalent La3+ and two Ti+3.20+ atoms to form distorted OLa2Ti2 tetrahedra that share corners with two equivalent SLa4Ti square pyramids, corners with two OLa2Ti2 tetrahedra, and corners with two equivalent SLa2Ti2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two equivalent La3+ and two Ti+3.20+ atoms to form distorted OLa2Ti2 tetrahedra that share corners with two equivalent SLa4Ti2 pentagonal pyramids, corners with two equivalent SLa4Ti square pyramids, and corners with two OLa2Ti2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Na11Ti10O21 by Materials Project

Na11Ti10O21 is Caswellsilverite-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eleven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Na–O bond distances ranging from 2.25–2.48 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Na–O bond distances ranging from 2.25–2.45 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–13°. There are a spread of Na–O bond distances ranging from 2.36–2.40 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Na–O bond distances ranging from 2.28–2.43 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Na–O bond distances ranging from 2.36–2.38 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Na–O bond distances ranging from 2.35–2.39 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Na–O bond distances ranging from 2.33–2.50 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NaO6 octahedra, edges with five NaO6 octahedra, and edges with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–17°. There are a spread of Na–O bond distances ranging from 2.24–2.27 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Na–O bond distances ranging from 2.35–2.38 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Na–O bond distances ranging from 2.27–2.42 Å. In the eleventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Na–O bond distances ranging from 2.35–2.41 Å. There are eleven inequivalent Ti+3.10+ sites. In the first Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with ten NaO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Ti–O bond distances ranging from 2.24–2.43 Å. In the second Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NaO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 4–16°. There are a spread of Ti–O bond distances ranging from 1.91–2.17 Å. In the third Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ti–O bond distances ranging from 2.02–2.11 Å. In the fourth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NaO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Ti–O bond distances ranging from 1.98–2.14 Å. In the fifth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Ti–O bond distances ranging from 2.06–2.11 Å. In the sixth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Ti–O bond distances ranging from 1.96–2.12 Å. In the seventh Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Ti–O bond distances ranging from 2.07–2.10 Å. In the eighth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Ti–O bond distances ranging from 2.06–2.12 Å. In the ninth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NaO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Ti–O bond distances ranging from 2.02–2.17 Å. In the tenth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–13°. There are a spread of Ti–O bond distances ranging from 2.05–2.12 Å. In the eleventh Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Ti–O bond distances ranging from 2.07–2.10 Å. There are twenty-one inequivalent O2- sites. In the first O2- site, O2- is bonded to four Na1+ and two Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the second O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the third O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form ONa3Ti3 octahedra that share corners with six ONa3Ti3 octahedra and edges with twelve ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the fourth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of distorted edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the fifth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the sixth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form ONa3Ti3 octahedra that share corners with six ONa3Ti3 octahedra and edges with twelve ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the seventh O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the ninth O2- site, O2- is bonded to four Na1+ and two Ti+3.10+ atoms to form a mixture of distorted edge and corner-sharing ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the tenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eleventh O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the twelfth O2- site, O2- is bonded to four Na1+ and two Ti+3.10+ atoms to form a mixture of distorted edge and corner-sharing ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the thirteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form ONa3Ti3 octahedra that share corners with six ONa3Ti3 octahedra and edges with twelve ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the fourteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the sixteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventeenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eighteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the nineteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twentieth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form ONa3Ti3 octahedra that share corners with six ONa4Ti2 octahedra and edges with twelve ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the twenty-first O2- site, O2- is bonded to three Na1+ and three Ti+3.1

36 MATERIALS SCIENCE↗

Materials Data on Ti8Se3 by Materials Project

Ti8Se3 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are sixteen inequivalent Ti sites. In the first Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are two shorter (2.61 Å) and two longer (2.63 Å) Ti–Se bond lengths. In the second Ti site, Ti is bonded in a distorted single-bond geometry to one Se atom. The Ti–Se bond length is 2.71 Å. In the third Ti site, Ti is bonded in a distorted L-shaped geometry to two Se atoms. There are one shorter (2.67 Å) and one longer (2.71 Å) Ti–Se bond lengths. In the fourth Ti site, Ti is bonded in a 3-coordinate geometry to three Se atoms. There are two shorter (2.55 Å) and one longer (2.63 Å) Ti–Se bond lengths. In the fifth Ti site, Ti is bonded in a distorted single-bond geometry to one Se atom. The Ti–Se bond length is 2.67 Å. In the sixth Ti site, Ti is bonded in a 3-coordinate geometry to three Se atoms. There are two shorter (2.55 Å) and one longer (2.64 Å) Ti–Se bond lengths. In the seventh Ti site, Ti is bonded to four Se atoms to form distorted corner-sharing TiSe4 trigonal pyramids. There are a spread of Ti–Se bond distances ranging from 2.62–2.69 Å. In the eighth Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are two shorter (2.61 Å) and two longer (2.63 Å) Ti–Se bond lengths. In the ninth Ti site, Ti is bonded in a distorted L-shaped geometry to two equivalent Se atoms. Both Ti–Se bond lengths are 2.62 Å. In the tenth Ti site, Ti is bonded in a linear geometry to two Se atoms. Both Ti–Se bond lengths are 2.64 Å. In the eleventh Ti site, Ti is bonded in a 5-coordinate geometry to five Se atoms. There are a spread of Ti–Se bond distances ranging from 2.64–2.93 Å. In the twelfth Ti site, Ti is bonded in a distorted L-shaped geometry to two Se atoms. There are one shorter (2.64 Å) and one longer (2.73 Å) Ti–Se bond lengths. In the thirteenth Ti site, Ti is bonded in a 3-coordinate geometry to three Se atoms. There are one shorter (2.59 Å) and two longer (2.64 Å) Ti–Se bond lengths. In the fourteenth Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are two shorter (2.61 Å) and two longer (2.63 Å) Ti–Se bond lengths. In the fifteenth Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. All Ti–Se bond lengths are 2.64 Å. In the sixteenth Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are two shorter (2.60 Å) and two longer (2.64 Å) Ti–Se bond lengths. There are six inequivalent Se sites. In the first Se site, Se is bonded in a 8-coordinate geometry to eight Ti atoms. In the second Se site, Se is bonded in a 8-coordinate geometry to eight Ti atoms. In the third Se site, Se is bonded in a 8-coordinate geometry to eight Ti atoms. In the fourth Se site, Se is bonded in a 9-coordinate geometry to nine Ti atoms. In the fifth Se site, Se is bonded in a 8-coordinate geometry to eight Ti atoms. In the sixth Se site, Se is bonded to seven Ti atoms to form distorted edge-sharing SeTi7 pentagonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ti12Mn5(PO4)18 by Materials Project

Ti12Mn5(PO4)18 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There is three shorter (1.93 Å) and three longer (2.00 Å) Ti–O bond length. In the fifth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the sixth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. There are three inequivalent Mn sites. In the first Mn site, Mn is bonded in a 6-coordinate geometry to six O atoms. There are two shorter (2.25 Å) and four longer (2.26 Å) Mn–O bond lengths. In the second Mn site, Mn is bonded in a 6-coordinate geometry to six O atoms. There are two shorter (2.25 Å) and four longer (2.26 Å) Mn–O bond lengths. In the third Mn site, Mn is bonded in a 6-coordinate geometry to six O atoms. All Mn–O bond lengths are 2.27 Å. There are nine inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–46°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–47°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–47°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–46°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–47°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–47°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–46°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–47°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–47°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are thirty-six inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the second O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the third O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the eighth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the ninth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the tenth O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the eleventh O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the twelfth O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the thirteenth O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the fourteenth O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the fifteenth O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the sixteenth O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the seventeenth O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the eighteenth O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the twentieth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the twenty-second O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the twenty-fourth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the twenty-fifth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the twenty-seventh O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the twenty-eighth O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the twenty-ninth O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the thirtieth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the thirty-first O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the thirty-second O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the thirty-third O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the thirty-fourth O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the thirty-fifth O site, O is bonded in a 3-coordinate geometry to one Ti, one Mn, and one P atom. In the thirty-sixth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom.

36 MATERIALS SCIENCE↗

Materials Data on Ti13Sb3 by Materials Project

Ti13Sb3 is beta Cu3Ti-like structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are nine inequivalent Ti sites. In the first Ti site, Ti is bonded to ten Ti and two equivalent Sb atoms to form distorted TiTi10Sb2 cuboctahedra that share corners with eighteen TiTi10Sb2 cuboctahedra, edges with six SbTi12 cuboctahedra, edges with twelve TiTi9Sb3 cuboctahedra, faces with two equivalent SbTi12 cuboctahedra, and faces with eighteen TiTi10Sb2 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.82–2.93 Å. Both Ti–Sb bond lengths are 2.93 Å. In the second Ti site, Ti is bonded to eight Ti and four Sb atoms to form distorted TiTi8Sb4 cuboctahedra that share corners with four equivalent SbTi12 cuboctahedra, corners with fourteen TiTi10Sb2 cuboctahedra, edges with four equivalent SbTi12 cuboctahedra, edges with fourteen TiTi9Sb3 cuboctahedra, faces with four SbTi12 cuboctahedra, and faces with sixteen TiTi8Sb4 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.89–3.04 Å. There are two shorter (2.91 Å) and two longer (2.92 Å) Ti–Sb bond lengths. In the third Ti site, Ti is bonded to nine Ti and three Sb atoms to form distorted TiTi9Sb3 cuboctahedra that share corners with two equivalent SbTi12 cuboctahedra, corners with sixteen TiTi10Sb2 cuboctahedra, edges with five SbTi12 cuboctahedra, edges with thirteen TiTi10Sb2 cuboctahedra, faces with three SbTi12 cuboctahedra, and faces with seventeen TiTi10Sb2 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.80–3.03 Å. There are two shorter (2.92 Å) and one longer (3.00 Å) Ti–Sb bond lengths. In the fourth Ti site, Ti is bonded to nine Ti and three Sb atoms to form distorted TiTi9Sb3 cuboctahedra that share corners with two equivalent SbTi12 cuboctahedra, corners with sixteen TiTi10Sb2 cuboctahedra, edges with five SbTi12 cuboctahedra, edges with thirteen TiTi10Sb2 cuboctahedra, faces with three SbTi12 cuboctahedra, and faces with seventeen TiTi10Sb2 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.85–2.94 Å. There are two shorter (2.95 Å) and one longer (3.02 Å) Ti–Sb bond lengths. In the fifth Ti site, Ti is bonded to ten Ti and two equivalent Sb atoms to form distorted TiTi10Sb2 cuboctahedra that share corners with four equivalent SbTi12 cuboctahedra, corners with fourteen TiTi10Sb2 cuboctahedra, edges with six SbTi12 cuboctahedra, edges with twelve TiTi9Sb3 cuboctahedra, faces with two equivalent SbTi12 cuboctahedra, and faces with eighteen TiTi10Sb2 cuboctahedra. There are four shorter (2.90 Å) and two longer (2.94 Å) Ti–Ti bond lengths. Both Ti–Sb bond lengths are 2.91 Å. In the sixth Ti site, Ti is bonded to eight Ti and four Sb atoms to form distorted TiTi8Sb4 cuboctahedra that share corners with four equivalent SbTi12 cuboctahedra, corners with fourteen TiTi10Sb2 cuboctahedra, edges with two equivalent SbTi12 cuboctahedra, edges with sixteen TiTi9Sb3 cuboctahedra, faces with four SbTi12 cuboctahedra, and faces with sixteen TiTi10Sb2 cuboctahedra. There are two shorter (2.91 Å) and two longer (2.97 Å) Ti–Ti bond lengths. There are two shorter (2.91 Å) and two longer (2.92 Å) Ti–Sb bond lengths. In the seventh Ti site, Ti is bonded to ten Ti and two Sb atoms to form distorted TiTi10Sb2 cuboctahedra that share corners with four SbTi12 cuboctahedra, corners with fourteen TiTi10Sb2 cuboctahedra, edges with four SbTi12 cuboctahedra, edges with fourteen TiTi10Sb2 cuboctahedra, faces with two SbTi12 cuboctahedra, and faces with eighteen TiTi10Sb2 cuboctahedra. There are one shorter (2.91 Å) and three longer (2.92 Å) Ti–Ti bond lengths. There are one shorter (2.93 Å) and one longer (2.96 Å) Ti–Sb bond lengths. In the eighth Ti site, Ti is bonded to eight Ti and four Sb atoms to form distorted TiTi8Sb4 cuboctahedra that share corners with four SbTi12 cuboctahedra, corners with fourteen TiTi10Sb2 cuboctahedra, edges with four SbTi12 cuboctahedra, edges with fourteen TiTi10Sb2 cuboctahedra, faces with four SbTi12 cuboctahedra, and faces with sixteen TiTi8Sb4 cuboctahedra. There are one shorter (2.84 Å) and one longer (2.99 Å) Ti–Ti bond lengths. There are two shorter (2.92 Å) and two longer (2.94 Å) Ti–Sb bond lengths. In the ninth Ti site, Ti is bonded to twelve Ti atoms to form TiTi12 cuboctahedra that share corners with four equivalent SbTi12 cuboctahedra, corners with fourteen TiTi10Sb2 cuboctahedra, edges with eighteen TiTi8Sb4 cuboctahedra, faces with six SbTi12 cuboctahedra, and faces with fourteen TiTi10Sb2 cuboctahedra. There are three inequivalent Sb sites. In the first Sb site, Sb is bonded to twelve Ti atoms to form SbTi12 cuboctahedra that share corners with two equivalent SbTi12 cuboctahedra, corners with sixteen TiTi8Sb4 cuboctahedra, edges with eighteen TiTi10Sb2 cuboctahedra, faces with eight SbTi12 cuboctahedra, and faces with twelve TiTi8Sb4 cuboctahedra. In the second Sb site, Sb is bonded to twelve Ti atoms to form SbTi12 cuboctahedra that share corners with six SbTi12 cuboctahedra, corners with twelve TiTi10Sb2 cuboctahedra, edges with eighteen TiTi8Sb4 cuboctahedra, faces with four SbTi12 cuboctahedra, and faces with sixteen TiTi10Sb2 cuboctahedra. In the third Sb site, Sb is bonded to twelve Ti atoms to form SbTi12 cuboctahedra that share corners with six SbTi12 cuboctahedra, corners with twelve TiTi8Sb4 cuboctahedra, edges with eighteen TiTi10Sb2 cuboctahedra, faces with six SbTi12 cuboctahedra, and faces with fourteen TiTi8Sb4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on TiMnCr by Materials Project

TiCrMn crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are seven inequivalent Ti sites. In the first Ti site, Ti is bonded in a 12-coordinate geometry to four Ti, seven Cr, and five Mn atoms. There are three shorter (2.94 Å) and one longer (2.97 Å) Ti–Ti bond lengths. There are a spread of Ti–Cr bond distances ranging from 2.82–2.84 Å. There are a spread of Ti–Mn bond distances ranging from 2.77–2.82 Å. In the second Ti site, Ti is bonded in a 5-coordinate geometry to four Ti, five Cr, and seven Mn atoms. There are one shorter (2.91 Å) and one longer (2.94 Å) Ti–Ti bond lengths. There are three shorter (2.81 Å) and two longer (2.82 Å) Ti–Cr bond lengths. There are five shorter (2.81 Å) and two longer (2.82 Å) Ti–Mn bond lengths. In the third Ti site, Ti is bonded in a 5-coordinate geometry to four Ti, five Cr, and seven Mn atoms. All Ti–Ti bond lengths are 2.94 Å. There are three shorter (2.81 Å) and two longer (2.82 Å) Ti–Cr bond lengths. There are five shorter (2.81 Å) and two longer (2.82 Å) Ti–Mn bond lengths. In the fourth Ti site, Ti is bonded in a 12-coordinate geometry to four Ti, seven Cr, and five Mn atoms. The Ti–Ti bond length is 2.94 Å. There are a spread of Ti–Cr bond distances ranging from 2.82–2.84 Å. There are a spread of Ti–Mn bond distances ranging from 2.77–2.82 Å. In the fifth Ti site, Ti is bonded in a 12-coordinate geometry to four Ti, seven Cr, and five Mn atoms. There are two shorter (2.94 Å) and one longer (2.97 Å) Ti–Ti bond lengths. There are a spread of Ti–Cr bond distances ranging from 2.82–2.84 Å. There are a spread of Ti–Mn bond distances ranging from 2.77–2.82 Å. In the sixth Ti site, Ti is bonded in a 5-coordinate geometry to four Ti, five Cr, and seven Mn atoms. The Ti–Ti bond length is 2.91 Å. There are three shorter (2.81 Å) and two longer (2.82 Å) Ti–Cr bond lengths. There are five shorter (2.81 Å) and two longer (2.82 Å) Ti–Mn bond lengths. In the seventh Ti site, Ti is bonded in a 12-coordinate geometry to four Ti, seven Cr, and five Mn atoms. Both Ti–Ti bond lengths are 2.94 Å. There are a spread of Ti–Cr bond distances ranging from 2.82–2.84 Å. There are a spread of Ti–Mn bond distances ranging from 2.77–2.82 Å. There are two inequivalent Cr sites. In the first Cr site, Cr is bonded to six Ti, two equivalent Cr, and four Mn atoms to form distorted CrTi6Mn4Cr2 cuboctahedra that share corners with four equivalent CrTi6Mn2Cr4 cuboctahedra, corners with eight MnTi6Cr6 cuboctahedra, edges with six equivalent CrTi6Mn4Cr2 cuboctahedra, faces with eight CrTi6Mn4Cr2 cuboctahedra, and faces with twelve MnTi6Cr6 cuboctahedra. Both Cr–Cr bond lengths are 2.46 Å. There are a spread of Cr–Mn bond distances ranging from 2.39–2.45 Å. In the second Cr site, Cr is bonded to six Ti, four Cr, and two equivalent Mn atoms to form distorted CrTi6Mn2Cr4 cuboctahedra that share corners with eight CrTi6Mn4Cr2 cuboctahedra, corners with ten MnTi6Mn4Cr2 cuboctahedra, edges with two equivalent CrTi6Mn2Cr4 cuboctahedra, edges with four equivalent MnTi6Mn4Cr2 cuboctahedra, faces with eight MnTi6Cr6 cuboctahedra, and faces with ten CrTi6Mn4Cr2 cuboctahedra. There are one shorter (2.36 Å) and one longer (2.45 Å) Cr–Cr bond lengths. There are one shorter (2.35 Å) and one longer (2.46 Å) Cr–Mn bond lengths. There are three inequivalent Mn sites. In the first Mn site, Mn is bonded to six Ti and six Cr atoms to form distorted MnTi6Cr6 cuboctahedra that share corners with four equivalent CrTi6Mn4Cr2 cuboctahedra, corners with fourteen MnTi6Cr6 cuboctahedra, edges with six MnTi6Cr6 cuboctahedra, faces with four equivalent MnTi6Mn4Cr2 cuboctahedra, and faces with fourteen CrTi6Mn4Cr2 cuboctahedra. In the second Mn site, Mn is bonded to six Ti, two equivalent Cr, and four Mn atoms to form distorted MnTi6Mn4Cr2 cuboctahedra that share corners with eight MnTi6Cr6 cuboctahedra, corners with ten CrTi6Mn4Cr2 cuboctahedra, edges with two equivalent MnTi6Mn4Cr2 cuboctahedra, edges with four equivalent CrTi6Mn2Cr4 cuboctahedra, faces with eight CrTi6Mn4Cr2 cuboctahedra, and faces with ten MnTi6Cr6 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.32–2.49 Å. In the third Mn site, Mn is bonded to six Ti, two equivalent Cr, and four equivalent Mn atoms to form distorted MnTi6Mn4Cr2 cuboctahedra that share corners with six MnTi6Cr6 cuboctahedra, corners with twelve CrTi6Mn4Cr2 cuboctahedra, edges with six MnTi6Cr6 cuboctahedra, faces with eight equivalent MnTi6Mn4Cr2 cuboctahedra, and faces with ten CrTi6Mn4Cr2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on SrTi11O20 by Materials Project

SrTi11O20 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.07 Å. There are eleven inequivalent Ti+3.45+ sites. In the first Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the second Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Ti–O bond distances ranging from 1.92–2.17 Å. In the third Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–58°. There are a spread of Ti–O bond distances ranging from 1.95–2.08 Å. In the fourth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–54°. There are a spread of Ti–O bond distances ranging from 1.89–2.14 Å. In the fifth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–57°. There are a spread of Ti–O bond distances ranging from 1.97–2.10 Å. In the sixth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Ti–O bond distances ranging from 1.89–2.16 Å. In the seventh Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Ti–O bond distances ranging from 1.93–2.13 Å. In the eighth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–57°. There are a spread of Ti–O bond distances ranging from 1.97–2.13 Å. In the ninth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–57°. There are a spread of Ti–O bond distances ranging from 1.93–2.11 Å. In the tenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–59°. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the eleventh Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of Ti–O bond distances ranging from 1.97–2.10 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Sr2+ and four Ti+3.45+ atoms. In the second O2- site, O2- is bonded to four Ti+3.45+ atoms to form edge-sharing OTi4 trigonal pyramids. In the third O2- site, O2- is bonded to one Sr2+ and three Ti+3.45+ atoms to form distorted OSrTi3 tetrahedra that share a cornercorner with one OSrTi3 trigonal pyramid and an edgeedge with one OTi4 trigonal pyramid. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to four Ti+3.45+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Sr2+ and four Ti+3.45+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.45+ atoms. In the seventh O2- site, O2- is bonded to one Sr2+ and three Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OSrTi3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.45+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.45+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.45+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.45+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.45+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.45+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.45+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three Ti+3.45+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and three Ti+3.45+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three Ti+3.45+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.45+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and three Ti+3.45+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three Ti+3.45+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiTi11O20 by Materials Project

LiTi11O20 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Li1+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is two shorter (1.92 Å) and one longer (1.98 Å) Li–O bond length. There are eleven inequivalent Ti+3.55+ sites. In the first Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the second Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form a mixture of distorted corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Ti–O bond distances ranging from 1.92–2.17 Å. In the third Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of Ti–O bond distances ranging from 1.90–2.14 Å. In the fourth Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of Ti–O bond distances ranging from 1.94–2.12 Å. In the fifth Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–53°. There are a spread of Ti–O bond distances ranging from 1.89–2.17 Å. In the sixth Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–61°. There are a spread of Ti–O bond distances ranging from 1.96–2.09 Å. In the seventh Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–56°. There are a spread of Ti–O bond distances ranging from 1.95–2.14 Å. In the eighth Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–54°. There are a spread of Ti–O bond distances ranging from 1.93–2.11 Å. In the ninth Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–54°. There are a spread of Ti–O bond distances ranging from 1.89–2.10 Å. In the tenth Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–55°. There are a spread of Ti–O bond distances ranging from 1.90–2.13 Å. In the eleventh Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–54°. There are a spread of Ti–O bond distances ranging from 1.97–2.06 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Ti+3.55+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLiTi3 tetrahedra and an edgeedge with one OTi4 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.55+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.55+ atoms. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to four Ti+3.55+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Ti+3.55+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.55+ atoms. In the seventh O2- site, O2- is bonded to four Ti+3.55+ atoms to form OTi4 trigonal pyramids that share an edgeedge with one OLiTi3 tetrahedra and an edgeedge with one OTi4 trigonal pyramid. In the eighth O2- site, O2- is bonded to four Ti+3.55+ atoms to form OTi4 trigonal pyramids that share a cornercorner with one OLiTi3 tetrahedra, an edgeedge with one OLiTi3 tetrahedra, and an edgeedge with one OTi4 trigonal pyramid. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.55+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.55+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.55+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.55+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.55+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.55+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.55+ atoms to form a mixture of distorted corner and edge-sharing OLiTi3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.55+ atoms. In the seventeenth O2- site, O2- is bonded to one Li1+ and three Ti+3.55+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLiTi3 tetrahedra, a cornercorner with one OTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.55+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.55+ atoms. In the twentieth O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.55+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li11Y14Ti14(S2O5)7 by Materials Project

Li11Y14Ti14(S2O5)7 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Li sites. In the first Li site, Li is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the second Li site, Li is bonded in a square co-planar geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the third Li site, Li is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the fourth Li site, Li is bonded in a square co-planar geometry to four O atoms. There are two shorter (1.99 Å) and two longer (2.07 Å) Li–O bond lengths. In the fifth Li site, Li is bonded in a square co-planar geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.95–2.06 Å. In the sixth Li site, Li is bonded in a square co-planar geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. There are seven inequivalent Y sites. In the first Y site, Y is bonded in a 9-coordinate geometry to five S and four O atoms. There are a spread of Y–S bond distances ranging from 2.88–2.98 Å. There are a spread of Y–O bond distances ranging from 2.41–2.51 Å. In the second Y site, Y is bonded in a 9-coordinate geometry to five S and four O atoms. There are a spread of Y–S bond distances ranging from 2.89–2.98 Å. There are a spread of Y–O bond distances ranging from 2.39–2.52 Å. In the third Y site, Y is bonded in a 9-coordinate geometry to five S and four O atoms. There are a spread of Y–S bond distances ranging from 2.88–2.98 Å. There are a spread of Y–O bond distances ranging from 2.41–2.51 Å. In the fourth Y site, Y is bonded in a 9-coordinate geometry to five S and four O atoms. There are one shorter (2.90 Å) and four longer (2.95 Å) Y–S bond lengths. There are two shorter (2.49 Å) and two longer (2.50 Å) Y–O bond lengths. In the fifth Y site, Y is bonded in a 9-coordinate geometry to five S and four O atoms. There are a spread of Y–S bond distances ranging from 2.89–2.97 Å. There are a spread of Y–O bond distances ranging from 2.40–2.52 Å. In the sixth Y site, Y is bonded in a 9-coordinate geometry to five S and four O atoms. There are a spread of Y–S bond distances ranging from 2.89–2.97 Å. There are a spread of Y–O bond distances ranging from 2.40–2.52 Å. In the seventh Y site, Y is bonded in a 9-coordinate geometry to five S and four O atoms. There are a spread of Y–S bond distances ranging from 2.86–2.99 Å. There are a spread of Y–O bond distances ranging from 2.40–2.53 Å. There are seven inequivalent Ti sites. In the first Ti site, Ti is bonded to one S and five O atoms to form distorted corner-sharing TiSO5 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. The Ti–S bond length is 2.49 Å. There are a spread of Ti–O bond distances ranging from 1.98–2.00 Å. In the second Ti site, Ti is bonded to one S and five O atoms to form distorted corner-sharing TiSO5 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. The Ti–S bond length is 2.50 Å. There are a spread of Ti–O bond distances ranging from 1.98–2.00 Å. In the third Ti site, Ti is bonded to one S and five O atoms to form distorted corner-sharing TiSO5 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. The Ti–S bond length is 2.54 Å. There are a spread of Ti–O bond distances ranging from 1.97–2.02 Å. In the fourth Ti site, Ti is bonded to one S and five O atoms to form distorted corner-sharing TiSO5 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. The Ti–S bond length is 2.54 Å. There are a spread of Ti–O bond distances ranging from 1.97–2.02 Å. In the fifth Ti site, Ti is bonded to one S and five O atoms to form distorted corner-sharing TiSO5 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. The Ti–S bond length is 2.54 Å. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the sixth Ti site, Ti is bonded to one S and five O atoms to form distorted corner-sharing TiSO5 square pyramids. The corner-sharing octahedra tilt angles range from 6–16°. The Ti–S bond length is 2.60 Å. There are a spread of Ti–O bond distances ranging from 1.92–2.00 Å. In the seventh Ti site, Ti is bonded to one S and five O atoms to form distorted corner-sharing TiSO5 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. The Ti–S bond length is 2.54 Å. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. There are seven inequivalent S sites. In the first S site, S is bonded in a 6-coordinate geometry to five Y and one Ti atom. In the second S site, S is bonded in a 6-coordinate geometry to five Y and one Ti atom. In the third S site, S is bonded in a 6-coordinate geometry to five Y and one Ti atom. In the fourth S site, S is bonded in a 6-coordinate geometry to five Y and one Ti atom. In the fifth S site, S is bonded in a 6-coordinate geometry to five Y and one Ti atom. In the sixth S site, S is bonded in a 6-coordinate geometry to five Y and one Ti atom. In the seventh S site, S is bonded in a 6-coordinate geometry to five Y and one Ti atom. There are eighteen inequivalent O sites. In the first O site, O is bonded to one Li, two Y, and two Ti atoms to form OLiY2Ti2 trigonal bipyramids that share corners with four OLiY2Ti2 trigonal bipyramids, an edgeedge with one OLi4Ti2 octahedra, an edgeedge with one OLi3Ti2 square pyramid, and edges with three OLiY2Ti2 trigonal bipyramids. In the second O site, O is bonded in a see-saw-like geometry to two Y and two Ti atoms. In the third O site, O is bonded to one Li, two Y, and two Ti atoms to form OLiY2Ti2 trigonal bipyramids that share corners with four OLiY2Ti2 trigonal bipyramids, edges with two OLi3Ti2 square pyramids, and edges with three OLiY2Ti2 trigonal bipyramids. In the fourth O site, O is bonded to one Li, two Y, and two Ti atoms to form OLiY2Ti2 trigonal bipyramids that share corners with four OLiY2Ti2 trigonal bipyramids, an edgeedge with one OLi4Ti2 octahedra, an edgeedge with one OLi3Ti2 square pyramid, and edges with three OLiY2Ti2 trigonal bipyramids. In the fifth O site, O is bonded to one Li, two Y, and two Ti atoms to form OLiY2Ti2 trigonal bipyramids that share corners with three OLiY2Ti2 trigonal bipyramids, edges with two equivalent OLi4Ti2 octahedra, and edges with four OLiY2Ti2 trigonal bipyramids. In the sixth O site, O is bonded to one Li, two Y, and two Ti atoms to form OLiY2Ti2 trigonal bipyramids that share corners with four OLiY2Ti2 trigonal bipyramids, an edgeedge with one OLi4Ti2 octahedra, an edgeedge with one OLi3Ti2 square pyramid, and edges with three OLiY2Ti2 trigonal bipyramids. In the seventh O site, O is bonded to one Li, two Y, and two Ti atoms to form OLiY2Ti2 trigonal bipyramids that share corners with four OLiY2Ti2 trigonal bipyramids, an edgeedge with one OLi4Ti2 octahedra, an edgeedge with one OLi3Ti2 square pyramid, and edges with three OLiY2Ti2 trigonal bipyramids. In the eighth O site, O is bonded to four Li and two Ti atoms to form OLi4Ti2 octahedra that share a cornercorner with one OLi4Ti2 octahedra, corners with two OLi3Ti2 square pyramids, and edges with eight OLiY2Ti2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 0°. In the ninth O site, O is bonded to one Li, two Y, and two Ti atoms to form OLiY2Ti2 trigonal bipyramids that share corners with five OLiY2Ti2 trigonal bipyramids, an edgeedge with one OLi4Ti2 octahedra, and edges with two OLiY2Ti2 trigonal bipyramids. In the tenth O site, O is bonded to one Li, two Y, and two Ti atoms to form OLiY2Ti2 trigonal bipyramids that share corners with four OLiY2Ti2 trigonal bipyramids, edges with two OLi3Ti2 square pyramids, and edges with three OLiY2Ti2 trigonal bipyramids. In the eleventh O site, O is bonded to three Li and two Ti atoms to form OLi3Ti2 square pyramids that share a cornercorner with one OLi4Ti2 octahedra, corners with two equivalent OLi3Ti2 square pyramids, and edges with six OLiY2Ti2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 7°. In the twelfth O site, O is bonded to one Li, two Y, and two Ti atoms to form OLiY2Ti2 trigonal bipyramids that share corners with five OLiY2Ti2 trigonal bipyramids, an edgeedge with one OLi4Ti2 octahedra, and edges with two OLiY2Ti2 trigonal bipyramids. In the thirteenth O site, O is bonded in a see-saw-like geometry to two Y and two Ti atoms. In the fourteenth O site, O is bonded in a see-saw-like geometry to two Y and two Ti atoms. In the fifteenth O site, O is bonded to one Li, two Y, and two Ti atoms to form OLiY2Ti2 trigonal bipyramids that share corners with four OLiY2Ti2 trigonal bipyramids, edges with two OLi3Ti2 square pyramids, and edges with three OLiY2Ti2 trigonal bipyramids. In the sixteenth O site, O is bonded to one Li, two Y, and two Ti atoms to form OLiY2Ti2 trigonal bipyramids that share corners with four OLiY2Ti2 trigonal bipyramids, edges with two OLi3Ti2 square pyramids, and edges with three OLiY2Ti2 trigonal bipyramids. In the seventeenth O site, O is bonded to three Li and two Ti atoms to form OLi3Ti2 square pyramids that share a cornercorner with one OLi4Ti2 octahedra, corners with two equivalent OLi3Ti2 square pyramids, and edges with six OLiY2Ti2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 7°. In the eighteenth O site, O is bonded in a square co-planar geometry to two equivalent Li and two equivalent Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li2Y14Ti14(S2O5)7 by Materials Project

Li2Y14Ti14(S2O5)7 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (1.88 Å) and two longer (2.14 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (1.88 Å) and two longer (2.13 Å) Li–O bond lengths. There are seven inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are four shorter (2.86 Å) and one longer (2.94 Å) Y–S bond lengths. There are one shorter (2.43 Å) and three longer (2.44 Å) Y–O bond lengths. In the second Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.84–2.90 Å. There are a spread of Y–O bond distances ranging from 2.43–2.46 Å. In the third Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.85–2.92 Å. There are a spread of Y–O bond distances ranging from 2.42–2.53 Å. In the fourth Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.84–2.91 Å. There are a spread of Y–O bond distances ranging from 2.42–2.53 Å. In the fifth Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.84–2.96 Å. There are a spread of Y–O bond distances ranging from 2.42–2.52 Å. In the sixth Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.85–2.98 Å. There are a spread of Y–O bond distances ranging from 2.41–2.53 Å. In the seventh Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.84–2.95 Å. There are a spread of Y–O bond distances ranging from 2.43–2.46 Å. There are seven inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ is bonded to one S2- and five O2- atoms to form distorted corner-sharing TiSO5 trigonal bipyramids. The Ti–S bond length is 2.78 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.01 Å. In the second Ti+3.86+ site, Ti+3.86+ is bonded in a 5-coordinate geometry to one S2- and five O2- atoms. The Ti–S bond length is 2.86 Å. There are a spread of Ti–O bond distances ranging from 1.82–1.98 Å. In the third Ti+3.86+ site, Ti+3.86+ is bonded in a 5-coordinate geometry to one S2- and five O2- atoms. The Ti–S bond length is 2.86 Å. There are a spread of Ti–O bond distances ranging from 1.82–1.98 Å. In the fourth Ti+3.86+ site, Ti+3.86+ is bonded in a 5-coordinate geometry to one S2- and five O2- atoms. The Ti–S bond length is 2.86 Å. There are a spread of Ti–O bond distances ranging from 1.82–1.98 Å. In the fifth Ti+3.86+ site, Ti+3.86+ is bonded to one S2- and five O2- atoms to form distorted corner-sharing TiSO5 trigonal bipyramids. The Ti–S bond length is 2.78 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.01 Å. In the sixth Ti+3.86+ site, Ti+3.86+ is bonded to one S2- and five O2- atoms to form distorted corner-sharing TiSO5 trigonal bipyramids. The Ti–S bond length is 2.77 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.00 Å. In the seventh Ti+3.86+ site, Ti+3.86+ is bonded to one S2- and five O2- atoms to form distorted corner-sharing TiSO5 trigonal bipyramids. The Ti–S bond length is 2.77 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.00 Å. There are seven inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. In the second S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. In the third S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. In the fourth S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. In the sixth S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. In the seventh S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the eighth O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two Ti+3.86+ atoms. In the ninth O2- site, O2- is bonded to one Li1+, two Y3+, and two Ti+3.86+ atoms to form distorted corner-sharing OLiY2Ti2 trigonal bipyramids. In the tenth O2- site, O2- is bonded in a linear geometry to two equivalent Ti+3.86+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the thirteenth O2- site, O2- is bonded in a linear geometry to two Ti+3.86+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+, two Y3+, and two Ti+3.86+ atoms to form distorted corner-sharing OLiY2Ti2 trigonal bipyramids. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the eighteenth O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two Ti+3.86+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li2Y14Ti14(S2O5)7 by Materials Project

Li2Y14Ti14(S2O5)7 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (1.88 Å) and two longer (2.14 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (1.88 Å) and two longer (2.13 Å) Li–O bond lengths. There are seven inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.84–2.91 Å. There are a spread of Y–O bond distances ranging from 2.42–2.53 Å. In the second Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.84–2.91 Å. There are a spread of Y–O bond distances ranging from 2.42–2.53 Å. In the third Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.85–2.98 Å. There are a spread of Y–O bond distances ranging from 2.41–2.53 Å. In the fourth Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.84–2.95 Å. There are a spread of Y–O bond distances ranging from 2.43–2.46 Å. In the fifth Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.85–2.94 Å. There are two shorter (2.44 Å) and two longer (2.45 Å) Y–O bond lengths. In the sixth Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.84–2.95 Å. There are a spread of Y–O bond distances ranging from 2.43–2.46 Å. In the seventh Y3+ site, Y3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of Y–S bond distances ranging from 2.85–2.92 Å. There are a spread of Y–O bond distances ranging from 2.42–2.53 Å. There are seven inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ is bonded to one S2- and five O2- atoms to form distorted corner-sharing TiSO5 trigonal bipyramids. The Ti–S bond length is 2.77 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.01 Å. In the second Ti+3.86+ site, Ti+3.86+ is bonded to one S2- and five O2- atoms to form distorted corner-sharing TiSO5 trigonal bipyramids. The Ti–S bond length is 2.77 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.00 Å. In the third Ti+3.86+ site, Ti+3.86+ is bonded to one S2- and five O2- atoms to form distorted corner-sharing TiSO5 trigonal bipyramids. The Ti–S bond length is 2.77 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.00 Å. In the fourth Ti+3.86+ site, Ti+3.86+ is bonded to one S2- and five O2- atoms to form distorted corner-sharing TiSO5 trigonal bipyramids. The Ti–S bond length is 2.78 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.00 Å. In the fifth Ti+3.86+ site, Ti+3.86+ is bonded in a 5-coordinate geometry to one S2- and five O2- atoms. The Ti–S bond length is 2.86 Å. There are a spread of Ti–O bond distances ranging from 1.82–1.98 Å. In the sixth Ti+3.86+ site, Ti+3.86+ is bonded in a 5-coordinate geometry to one S2- and five O2- atoms. The Ti–S bond length is 2.87 Å. There are a spread of Ti–O bond distances ranging from 1.82–1.98 Å. In the seventh Ti+3.86+ site, Ti+3.86+ is bonded in a 5-coordinate geometry to one S2- and five O2- atoms. The Ti–S bond length is 2.87 Å. There are a spread of Ti–O bond distances ranging from 1.82–1.98 Å. There are seven inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. In the second S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. In the third S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. In the fourth S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. In the sixth S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. In the seventh S2- site, S2- is bonded in a 6-coordinate geometry to five Y3+ and one Ti+3.86+ atom. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the second O2- site, O2- is bonded to one Li1+, two Y3+, and two Ti+3.86+ atoms to form distorted corner-sharing OLiY2Ti2 trigonal bipyramids. In the third O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two Ti+3.86+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the sixth O2- site, O2- is bonded to one Li1+, two Y3+, and two Ti+3.86+ atoms to form distorted corner-sharing OLiY2Ti2 trigonal bipyramids. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the fifteenth O2- site, O2- is bonded in a linear geometry to two Ti+3.86+ atoms. In the sixteenth O2- site, O2- is bonded in a linear geometry to two equivalent Ti+3.86+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Ti+3.86+ atoms.

36 MATERIALS SCIENCE↗