Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “Ti”

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

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

At least 1,279 records · Page 71

Materials Data on Ti11Ni9Pt4 by Materials Project

Ti11Pt4Ni9 is Magnesium tetraboride-derived structured and crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are seven inequivalent Ti sites. In the first Ti site, Ti is bonded in a distorted hexagonal bipyramidal geometry to four Pt and four Ni atoms. There are two shorter (2.65 Å) and two longer (2.66 Å) Ti–Pt bond lengths. All Ti–Ni bond lengths are 2.52 Å. In the second Ti site, Ti is bonded in a 8-coordinate geometry to two equivalent Pt and six Ni atoms. Both Ti–Pt bond lengths are 2.63 Å. There are a spread of Ti–Ni bond distances ranging from 2.52–2.54 Å. In the third Ti site, Ti is bonded in a 8-coordinate geometry to two equivalent Pt and six Ni atoms. Both Ti–Pt bond lengths are 2.64 Å. There are a spread of Ti–Ni bond distances ranging from 2.50–2.57 Å. In the fourth Ti site, Ti is bonded in a 8-coordinate geometry to four Pt and four Ni atoms. There are a spread of Ti–Pt bond distances ranging from 2.65–2.68 Å. There are a spread of Ti–Ni bond distances ranging from 2.48–2.52 Å. In the fifth Ti site, Ti is bonded in a 9-coordinate geometry to three Pt and six Ni atoms. There are a spread of Ti–Pt bond distances ranging from 3.01–3.07 Å. There are a spread of Ti–Ni bond distances ranging from 2.48–2.69 Å. In the sixth Ti site, Ti is bonded in a 9-coordinate geometry to three Pt and six Ni atoms. There are a spread of Ti–Pt bond distances ranging from 2.84–2.91 Å. There are a spread of Ti–Ni bond distances ranging from 2.37–2.73 Å. In the seventh Ti site, Ti is bonded in a 7-coordinate geometry to one Pt and seven Ni atoms. The Ti–Pt bond length is 3.19 Å. There are a spread of Ti–Ni bond distances ranging from 2.57–2.69 Å. There are two inequivalent Pt sites. In the first Pt site, Pt is bonded in a 4-coordinate geometry to eight Ti, two Pt, and four Ni atoms. There are one shorter (3.02 Å) and one longer (3.03 Å) Pt–Pt bond lengths. There are a spread of Pt–Ni bond distances ranging from 2.77–2.82 Å. In the second Pt site, Pt is bonded in a 4-coordinate geometry to seven Ti, one Pt, and four Ni atoms. There are a spread of Pt–Ni bond distances ranging from 2.77–2.84 Å. There are five inequivalent Ni sites. In the first Ni site, Ni is bonded in a 6-coordinate geometry to six Ti and two equivalent Ni atoms. Both Ni–Ni bond lengths are 2.77 Å. In the second Ni site, Ni is bonded in a 11-coordinate geometry to seven Ti, two Pt, and two Ni atoms. The Ni–Ni bond length is 2.61 Å. In the third Ni site, Ni is bonded in a 10-coordinate geometry to seven Ti, two Pt, and one Ni atom. In the fourth Ni site, Ni is bonded in a 10-coordinate geometry to seven Ti, two Pt, and one Ni atom. The Ni–Ni bond length is 2.58 Å. In the fifth Ni site, Ni is bonded in a 10-coordinate geometry to seven Ti, two Pt, and one Ni atom. The Ni–Ni bond length is 2.60 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ba6Ti7(Sb3O14)3 by Materials Project

Ba6Ti7(Sb3O14)3 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.81–3.23 Å. In the second Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.84–2.86 Å. In the third Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.24 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.81–3.21 Å. There are five inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four SbO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–42°. There are a spread of Ti–O bond distances ranging from 1.90–2.13 Å. In the second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three TiO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 18–42°. There are a spread of Ti–O bond distances ranging from 1.81–2.26 Å. In the third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with three SbO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 18–43°. There are a spread of Ti–O bond distances ranging from 1.82–2.21 Å. In the fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two TiO6 octahedra, corners with three SbO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 17–42°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, corners with three SbO6 octahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one SbO6 octahedra. The corner-sharing octahedra tilt angles range from 17–43°. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. There are five inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four SbO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–47°. There are a spread of Sb–O bond distances ranging from 2.00–2.06 Å. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent SbO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–49°. There are a spread of Sb–O bond distances ranging from 1.99–2.03 Å. In the third Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with three TiO6 octahedra and corners with three SbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–47°. There are a spread of Sb–O bond distances ranging from 2.01–2.03 Å. In the fourth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two TiO6 octahedra, corners with three SbO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–49°. There are a spread of Sb–O bond distances ranging from 1.99–2.07 Å. In the fifth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four SbO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–47°. There are a spread of Sb–O bond distances ranging from 2.00–2.07 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Ti+3.86+, and two equivalent Sb5+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Ba2+ and two Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Ba2+, one Ti+3.86+, and one Sb5+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Sb5+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, two equivalent Ti+3.86+, and one Sb5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Ti+3.86+, and two equivalent Sb5+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Sb5+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+ and two Sb5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+, one Ti+3.86+, and one Sb5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, two Ti+3.86+, and one Sb5+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Ti+3.86+, and two Sb5+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one Ti+3.86+, and one Sb5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Sb5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, one Ti+3.86+, and one Sb5+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Sb5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Ba2+, one Ti+3.86+, and one Sb5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, two Ti+3.86+, and one Sb5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, two Ti+3.86+, and one Sb5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to two Ba2+, one Ti+3.86+, and one Sb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ti2In5 by Materials Project

Ti2In5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ti sites. In the first Ti site, Ti is bonded to two equivalent Ti and ten In atoms to form a mixture of corner, edge, and face-sharing TiTi2In10 cuboctahedra. Both Ti–Ti bond lengths are 3.14 Å. There are a spread of Ti–In bond distances ranging from 3.18–3.34 Å. In the second Ti site, Ti is bonded to two equivalent Ti and ten In atoms to form a mixture of corner, edge, and face-sharing TiTi2In10 cuboctahedra. Both Ti–Ti bond lengths are 3.14 Å. There are a spread of Ti–In bond distances ranging from 3.20–3.34 Å. In the third Ti site, Ti is bonded to two equivalent Ti and ten In atoms to form a mixture of corner, edge, and face-sharing TiTi2In10 cuboctahedra. Both Ti–Ti bond lengths are 3.14 Å. There are a spread of Ti–In bond distances ranging from 3.18–3.36 Å. In the fourth Ti site, Ti is bonded to two equivalent Ti and ten In atoms to form a mixture of corner, edge, and face-sharing TiTi2In10 cuboctahedra. Both Ti–Ti bond lengths are 3.14 Å. There are a spread of Ti–In bond distances ranging from 3.20–3.35 Å. There are ten inequivalent In sites. In the first In site, In is bonded in a 9-coordinate geometry to four Ti and five In atoms. There are a spread of In–In bond distances ranging from 3.14–3.35 Å. In the second In site, In is bonded in a 9-coordinate geometry to four Ti and five In atoms. There are a spread of In–In bond distances ranging from 3.14–3.36 Å. In the third In site, In is bonded in a 9-coordinate geometry to four Ti and five In atoms. There are a spread of In–In bond distances ranging from 3.14–3.35 Å. In the fourth In site, In is bonded in a 9-coordinate geometry to four Ti and five In atoms. There are a spread of In–In bond distances ranging from 3.14–3.34 Å. In the fifth In site, In is bonded in a 10-coordinate geometry to four Ti and six In atoms. There are a spread of In–In bond distances ranging from 3.14–3.29 Å. In the sixth In site, In is bonded in a 9-coordinate geometry to four Ti and five In atoms. There are two shorter (3.14 Å) and one longer (3.35 Å) In–In bond lengths. In the seventh In site, In is bonded in a 9-coordinate geometry to four Ti and five In atoms. There are a spread of In–In bond distances ranging from 3.14–3.34 Å. In the eighth In site, In is bonded in a 9-coordinate geometry to four Ti and five In atoms. There are two shorter (3.14 Å) and one longer (3.28 Å) In–In bond lengths. In the ninth In site, In is bonded in a 9-coordinate geometry to four Ti and five In atoms. Both In–In bond lengths are 3.14 Å. In the tenth In site, In is bonded in a 10-coordinate geometry to four Ti and six In atoms. Both In–In bond lengths are 3.14 Å.

36 MATERIALS SCIENCE↗

Materials Data on Na7Ti13O26 by Materials Project

Na7Ti13O26 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with two NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Na–O bond distances ranging from 2.41–2.45 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with two NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–21°. There are a spread of Na–O bond distances ranging from 2.42–2.48 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 three NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Na–O bond distances ranging from 2.39–2.45 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with two equivalent NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Na–O bond distances ranging from 2.42–2.45 Å. There are seven inequivalent Ti+3.46+ sites. In the first Ti+3.46+ site, Ti+3.46+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four NaO6 octahedra, edges with three NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–19°. There are a spread of Ti–O bond distances ranging from 1.98–2.08 Å. In the second Ti+3.46+ site, Ti+3.46+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NaO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ti–O bond distances ranging from 1.99–2.04 Å. In the third Ti+3.46+ site, Ti+3.46+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with two NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–16°. There are a spread of Ti–O bond distances ranging from 1.98–2.07 Å. In the fourth Ti+3.46+ site, Ti+3.46+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three NaO6 octahedra, edges with three NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–21°. There are a spread of Ti–O bond distances ranging from 1.98–2.06 Å. In the fifth Ti+3.46+ site, Ti+3.46+ is bonded to six O2- atoms to form TiO6 octahedra that share edges with four NaO6 octahedra and edges with six TiO6 octahedra. There are two shorter (2.00 Å) and four longer (2.01 Å) Ti–O bond lengths. In the sixth Ti+3.46+ site, Ti+3.46+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two NaO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–15°. There are a spread of Ti–O bond distances ranging from 1.99–2.07 Å. In the seventh Ti+3.46+ site, Ti+3.46+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO6 octahedra, edges with three NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–19°. There are a spread of Ti–O bond distances ranging from 2.02–2.06 Å. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Ti+3.46+ atoms. In the second O2- site, O2- is bonded to two Na1+ and three Ti+3.46+ atoms to form ONa2Ti3 square pyramids that share corners with five ONa2Ti3 square pyramids, corners with two equivalent ONaTi3 trigonal pyramids, edges with five ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the third O2- site, O2- is bonded to two Na1+ and three Ti+3.46+ atoms to form ONa2Ti3 square pyramids that share corners with four ONa2Ti3 square pyramids, corners with three ONaTi3 trigonal pyramids, edges with six ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the fourth O2- site, O2- is bonded to two Na1+ and three Ti+3.46+ atoms to form ONa2Ti3 square pyramids that share corners with seven ONa2Ti3 square pyramids, a cornercorner with one ONaTi3 trigonal pyramid, edges with five ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the fifth O2- site, O2- is bonded to two Na1+ and three Ti+3.46+ atoms to form ONa2Ti3 square pyramids that share corners with five ONa2Ti3 square pyramids, a cornercorner with one ONaTi3 trigonal pyramid, and edges with four ONa2Ti3 square pyramids. In the sixth O2- site, O2- is bonded to one Na1+ and three Ti+3.46+ atoms to form distorted ONaTi3 trigonal pyramids that share corners with eight ONa2Ti3 square pyramids, edges with three ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the seventh O2- site, O2- is bonded to two Na1+ and three Ti+3.46+ atoms to form ONa2Ti3 square pyramids that share corners with three ONa2Ti3 square pyramids, corners with two equivalent ONaTi3 trigonal pyramids, edges with five ONa2Ti3 square pyramids, and edges with two equivalent ONaTi3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Na1+ and three Ti+3.46+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Ti+3.46+ atoms. In the tenth O2- site, O2- is bonded to one Na1+ and three Ti+3.46+ atoms to form distorted ONaTi3 trigonal pyramids that share corners with six ONa2Ti3 square pyramids, a cornercorner with one ONaTi3 trigonal pyramid, and edges with five ONa2Ti3 square pyramids. In the eleventh O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.46+ atoms to form ONa2Ti3 square pyramids that share corners with five ONa2Ti3 square pyramids, a cornercorner with one ONaTi3 trigonal pyramid, edges with seven ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the twelfth O2- site, O2- is bonded to two Na1+ and three Ti+3.46+ atoms to form ONa2Ti3 square pyramids that share corners with four ONa2Ti3 square pyramids, corners with three ONaTi3 trigonal pyramids, edges with six ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.46+ atoms to form ONa2Ti3 square pyramids that share corners with eight ONa2Ti3 square pyramids, a cornercorner with one ONaTi3 trigonal pyramid, edges with six ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Ba6Li2Ti7(Sb3O14)3 by Materials Project

Li2Ba6Ti7(Sb3O14)3 is Orthorhombic Perovskite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.67 Å. In the second Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.68 Å. There are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.25 Å. In the second Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.82–3.31 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.74–3.26 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.23 Å. There are five inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four SbO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–42°. There are a spread of Ti–O bond distances ranging from 1.89–2.19 Å. In the second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three TiO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 26–38°. There are a spread of Ti–O bond distances ranging from 1.86–2.17 Å. In the third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with three SbO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 27–40°. There are a spread of Ti–O bond distances ranging from 1.89–2.16 Å. In the fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, corners with three SbO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 27–39°. There are a spread of Ti–O bond distances ranging from 1.88–2.19 Å. In the fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, corners with three SbO6 octahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one SbO6 octahedra. The corner-sharing octahedra tilt angles range from 26–44°. There are a spread of Ti–O bond distances ranging from 1.89–2.23 Å. There are five inequivalent Sb+4.78+ sites. In the first Sb+4.78+ site, Sb+4.78+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four SbO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–48°. There are a spread of Sb–O bond distances ranging from 2.01–2.12 Å. In the second Sb+4.78+ site, Sb+4.78+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent SbO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–49°. There are four shorter (2.03 Å) and two longer (2.04 Å) Sb–O bond lengths. In the third Sb+4.78+ site, Sb+4.78+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with three TiO6 octahedra and corners with three SbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–48°. All Sb–O bond lengths are 2.03 Å. In the fourth Sb+4.78+ site, Sb+4.78+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two TiO6 octahedra, corners with three SbO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–49°. There are a spread of Sb–O bond distances ranging from 2.02–2.13 Å. In the fifth Sb+4.78+ site, Sb+4.78+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four SbO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–47°. There are a spread of Sb–O bond distances ranging from 2.02–2.12 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, one Ba2+, and three Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Ti+3.86+, and two equivalent Sb+4.78+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two equivalent Ba2+, and two Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb+4.78+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb+4.78+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two equivalent Ba2+, one Ti+3.86+, and one Sb+4.78+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb+4.78+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Sb+4.78+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, one Ba2+, two equivalent Ti+3.86+, and one Sb+4.78+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Ti+3.86+, and two equivalent Sb+4.78+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb+4.78+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Sb+4.78+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Sb+4.78+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb+4.78+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, one Ba2+, two Ti+3.86+, and one Sb+4.78+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Ti+3.86+, and two Sb+4.78+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one Ti+3.86+, and one Sb+4.78+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Sb+4.78+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Ba2+, one Ti+3.86+, and one Sb+4.78+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Sb+4.78+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one Ti+3.86+, and one Sb+4.78+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, one Ba2+, two Ti+3.86+, and one Sb+4.78+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, two Ti+3.86+, and one Sb+4.78+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Ba2+, one Ti+3.86+, and one Sb+4.78+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mg3Ti6O16 by Materials Project

Li3Mg3Ti6O16 is Spinel-derived structured and crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.13–2.16 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are two shorter (2.01 Å) and two longer (2.02 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.13–2.16 Å. There are three inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There is three shorter (1.98 Å) and one longer (1.99 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There is two shorter (1.98 Å) and two longer (2.00 Å) Mg–O bond length. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There is two shorter (1.98 Å) and two longer (2.00 Å) Mg–O bond length. There are six inequivalent Ti+3.83+ sites. In the first Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five MgO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.08 Å. In the second Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five MgO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.11 Å. In the third Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the fourth Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the fifth Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.06 Å. In the sixth Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five MgO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Mg2+, and two Ti+3.83+ atoms to form distorted OLiMgTi2 trigonal pyramids that share corners with nine OLiTi3 trigonal pyramids and edges with three OMgTi3 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Ti+3.83+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with eight OLiTi3 trigonal pyramids and edges with two OLiMgTi2 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+, one Mg2+, and two Ti+3.83+ atoms to form distorted OLiMgTi2 trigonal pyramids that share corners with nine OLiTi3 trigonal pyramids and edges with three OLiMgTi2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Ti+3.83+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with eleven OMgTi3 trigonal pyramids and edges with two OLiMgTi2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, one Mg2+, and two Ti+3.83+ atoms to form distorted OLiMgTi2 trigonal pyramids that share corners with seven OLiMgTi2 trigonal pyramids and edges with two OMgTi3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+, one Mg2+, and two Ti+3.83+ atoms to form distorted OLiMgTi2 trigonal pyramids that share corners with eight OLiMgTi2 trigonal pyramids and edges with two OLi2Ti2 trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti+3.83+ atoms. In the eighth O2- site, O2- is bonded to two Li1+ and two Ti+3.83+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with ten OMgTi3 trigonal pyramids and edges with two OLi2Ti2 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mg2+, and two Ti+3.83+ atoms. In the tenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.83+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+, one Mg2+, and two Ti+3.83+ atoms to form a mixture of distorted corner and edge-sharing OLiMgTi2 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mg2+, and two Ti+3.83+ atoms. In the thirteenth O2- site, O2- is bonded to one Li1+, one Mg2+, and two Ti+3.83+ atoms to form distorted OLiMgTi2 trigonal pyramids that share corners with seven OMgTi3 trigonal pyramids and edges with three OLiMgTi2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti+3.83+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.83+ atoms to form distorted corner-sharing OLiTi3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mg2+, and two Ti+3.83+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti6Zn3O16 by Materials Project

Li3Ti6Zn3O16 is Spinel-derived structured and crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four ZnO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.14–2.16 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are one shorter (2.01 Å) and three longer (2.02 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five ZnO4 tetrahedra, and edges with six TiO6 octahedra. There are two shorter (2.14 Å) and four longer (2.15 Å) Li–O bond lengths. There are six inequivalent Ti+3.83+ sites. In the first Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five ZnO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. In the second Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five ZnO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. In the third Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four ZnO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. In the fourth Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four ZnO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.09 Å. In the fifth Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four ZnO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. In the sixth Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five ZnO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. There are three inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There is two shorter (1.98 Å) and two longer (1.99 Å) Zn–O bond length. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. All Zn–O bond lengths are 1.99 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. All Zn–O bond lengths are 1.99 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Ti+3.83+, and one Zn2+ atom to form distorted OLiTi2Zn trigonal pyramids that share corners with ten OLiTi3 trigonal pyramids and edges with three OLiTi2Zn trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+, two Ti+3.83+, and one Zn2+ atom to form distorted OLiTi2Zn trigonal pyramids that share corners with ten OLiTi3 trigonal pyramids and edges with three OLiTi2Zn trigonal pyramids. In the third O2- site, O2- is bonded to three Ti+3.83+ and one Zn2+ atom to form distorted OTi3Zn trigonal pyramids that share corners with eight OLiTi3 trigonal pyramids and edges with two OLiTi2Zn trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Ti+3.83+ atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Ti+3.83+, and one Zn2+ atom to form distorted OLiTi2Zn trigonal pyramids that share corners with eight OLi2Ti2 trigonal pyramids and edges with two OLiTi2Zn trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ti+3.83+ and one Zn2+ atom. In the seventh O2- site, O2- is bonded to one Li1+, two Ti+3.83+, and one Zn2+ atom to form distorted OLiTi2Zn trigonal pyramids that share corners with eight OLiTi2Zn trigonal pyramids and edges with two OLi2Ti2 trigonal pyramids. In the eighth O2- site, O2- is bonded to two Li1+ and two Ti+3.83+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with eleven OTi3Zn trigonal pyramids and edges with two OLi2Ti2 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti+3.83+, and one Zn2+ atom. In the tenth O2- site, O2- is bonded to one Li1+, two Ti+3.83+, and one Zn2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Zn trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Ti+3.83+ and one Zn2+ atom to form a mixture of distorted edge and corner-sharing OTi3Zn trigonal pyramids. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Ti+3.83+, and one Zn2+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Ti+3.83+, and one Zn2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Zn trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.83+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with eleven OLiTi2Zn trigonal pyramids and an edgeedge with one OLi2Ti2 trigonal pyramid. In the fifteenth O2- site, O2- is bonded to two Li1+ and two Ti+3.83+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with eleven OLiTi2Zn trigonal pyramids and an edgeedge with one OLiTi3 trigonal pyramid. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Ti+3.83+, and one Zn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg2Ti by Materials Project

Mg2Ti is beta-derived structured and crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to eight Mg and four Ti atoms to form distorted MgMg8Ti4 cuboctahedra that share corners with eight TiMg8Ti4 cuboctahedra, corners with ten MgMg8Ti4 cuboctahedra, edges with seven TiMg8Ti4 cuboctahedra, edges with eleven MgMg8Ti4 cuboctahedra, faces with six TiMg8Ti4 cuboctahedra, and faces with fourteen MgMg8Ti4 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.04–3.24 Å. There are a spread of Mg–Ti bond distances ranging from 3.08–3.39 Å. In the second Mg site, Mg is bonded to eight Mg and four Ti atoms to form distorted MgMg8Ti4 cuboctahedra that share corners with six TiMg8Ti4 cuboctahedra, corners with twelve MgMg8Ti4 cuboctahedra, edges with eight MgMg8Ti4 cuboctahedra, edges with ten TiMg8Ti4 cuboctahedra, faces with six TiMg8Ti4 cuboctahedra, and faces with fourteen MgMg8Ti4 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.02–3.25 Å. There are a spread of Mg–Ti bond distances ranging from 3.08–3.37 Å. In the third Mg site, Mg is bonded to ten Mg and two Ti atoms to form MgMg10Ti2 cuboctahedra that share corners with seven TiMg8Ti4 cuboctahedra, corners with eleven MgMg8Ti4 cuboctahedra, edges with nine MgMg8Ti4 cuboctahedra, edges with nine TiMg8Ti4 cuboctahedra, faces with four TiMg8Ti4 cuboctahedra, and faces with sixteen MgMg8Ti4 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.05–3.16 Å. There are one shorter (3.34 Å) and one longer (3.37 Å) Mg–Ti bond lengths. In the fourth Mg site, Mg is bonded to nine Mg and three Ti atoms to form MgMg9Ti3 cuboctahedra that share corners with seven TiMg8Ti4 cuboctahedra, corners with eleven MgMg8Ti4 cuboctahedra, edges with five TiMg8Ti4 cuboctahedra, edges with thirteen MgMg8Ti4 cuboctahedra, faces with seven TiMg8Ti4 cuboctahedra, and faces with thirteen MgMg8Ti4 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.04–3.14 Å. There are two shorter (3.12 Å) and one longer (3.38 Å) Mg–Ti bond lengths. In the fifth Mg site, Mg is bonded to nine Mg and three Ti atoms to form distorted MgMg9Ti3 cuboctahedra that share corners with three TiMg8Ti4 cuboctahedra, corners with fifteen MgMg8Ti4 cuboctahedra, edges with six TiMg8Ti4 cuboctahedra, edges with twelve MgMg8Ti4 cuboctahedra, faces with seven TiMg8Ti4 cuboctahedra, and faces with thirteen MgMg8Ti4 cuboctahedra. Both Mg–Mg bond lengths are 3.09 Å. All Mg–Ti bond lengths are 3.06 Å. In the sixth Mg site, Mg is bonded to eight Mg and four Ti atoms to form distorted MgMg8Ti4 cuboctahedra that share corners with seven TiMg8Ti4 cuboctahedra, corners with eleven MgMg8Ti4 cuboctahedra, edges with eight TiMg8Ti4 cuboctahedra, edges with ten MgMg8Ti4 cuboctahedra, faces with six TiMg8Ti4 cuboctahedra, and faces with fourteen MgMg8Ti4 cuboctahedra. There are two shorter (3.04 Å) and one longer (3.10 Å) Mg–Mg bond lengths. There are a spread of Mg–Ti bond distances ranging from 3.08–3.37 Å. In the seventh Mg site, Mg is bonded to seven Mg and five Ti atoms to form MgMg7Ti5 cuboctahedra that share corners with seven TiMg8Ti4 cuboctahedra, corners with eleven MgMg8Ti4 cuboctahedra, edges with four TiMg8Ti4 cuboctahedra, edges with fourteen MgMg8Ti4 cuboctahedra, faces with nine TiMg8Ti4 cuboctahedra, and faces with eleven MgMg8Ti4 cuboctahedra. Both Mg–Mg bond lengths are 3.04 Å. There are a spread of Mg–Ti bond distances ranging from 3.10–3.21 Å. In the eighth Mg site, Mg is bonded to seven Mg and five Ti atoms to form MgMg7Ti5 cuboctahedra that share corners with seven TiMg8Ti4 cuboctahedra, corners with eleven MgMg8Ti4 cuboctahedra, edges with three equivalent TiMg8Ti4 cuboctahedra, edges with fifteen MgMg8Ti4 cuboctahedra, faces with nine TiMg8Ti4 cuboctahedra, and faces with eleven MgMg8Ti4 cuboctahedra. Both Mg–Mg bond lengths are 3.03 Å. There are a spread of Mg–Ti bond distances ranging from 3.09–3.19 Å. There are four inequivalent Ti sites. In the first Ti site, Ti is bonded to eight Mg and four Ti atoms to form TiMg8Ti4 cuboctahedra that share corners with six TiMg8Ti4 cuboctahedra, corners with twelve MgMg8Ti4 cuboctahedra, edges with seven TiMg8Ti4 cuboctahedra, edges with eleven MgMg8Ti4 cuboctahedra, faces with six TiMg8Ti4 cuboctahedra, and faces with fourteen MgMg8Ti4 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.61–2.88 Å. In the second Ti site, Ti is bonded to eight Mg and four Ti atoms to form TiMg8Ti4 cuboctahedra that share corners with four TiMg8Ti4 cuboctahedra, corners with fourteen MgMg8Ti4 cuboctahedra, edges with six TiMg8Ti4 cuboctahedra, edges with twelve MgMg8Ti4 cuboctahedra, faces with six TiMg8Ti4 cuboctahedra, and faces with fourteen MgMg8Ti4 cuboctahedra. There are one shorter (2.70 Å) and two longer (2.86 Å) Ti–Ti bond lengths. In the third Ti site, Ti is bonded to eight Mg and four Ti atoms to form TiMg8Ti4 cuboctahedra that share corners with seven TiMg8Ti4 cuboctahedra, corners with eleven MgMg8Ti4 cuboctahedra, edges with five TiMg8Ti4 cuboctahedra, edges with thirteen MgMg8Ti4 cuboctahedra, faces with six TiMg8Ti4 cuboctahedra, and faces with fourteen MgMg8Ti4 cuboctahedra. Both Ti–Ti bond lengths are 2.89 Å. In the fourth Ti site, Ti is bonded to six Mg and six Ti atoms to form TiMg6Ti6 cuboctahedra that share corners with three TiMg8Ti4 cuboctahedra, corners with fifteen MgMg8Ti4 cuboctahedra, edges with two TiMg8Ti4 cuboctahedra, edges with sixteen MgMg8Ti4 cuboctahedra, faces with eight TiMg8Ti4 cuboctahedra, and faces with twelve MgMg8Ti4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on BaTi6O11 by Materials Project

BaTi6O11 crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with ten TiO6 octahedra, edges with two equivalent TiO6 octahedra, a faceface with one BaO12 cuboctahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of Ba–O bond distances ranging from 2.78–3.22 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with twelve TiO6 octahedra, edges with three TiO6 octahedra, a faceface with one BaO12 cuboctahedra, and faces with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–53°. There are a spread of Ba–O bond distances ranging from 2.70–3.21 Å. There are seven inequivalent Ti+3.33+ sites. In the first Ti+3.33+ site, Ti+3.33+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three BaO12 cuboctahedra, a cornercorner with one TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. In the second Ti+3.33+ site, Ti+3.33+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three BaO12 cuboctahedra, corners with four TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–59°. There are a spread of Ti–O bond distances ranging from 1.89–2.17 Å. In the third Ti+3.33+ site, Ti+3.33+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, edges with four TiO6 octahedra, and faces with two BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Ti–O bond distances ranging from 1.99–2.10 Å. In the fourth Ti+3.33+ site, Ti+3.33+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three BaO12 cuboctahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–47°. There are a spread of Ti–O bond distances ranging from 1.97–2.10 Å. In the fifth Ti+3.33+ site, Ti+3.33+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.81–2.38 Å. In the sixth Ti+3.33+ site, Ti+3.33+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, edges with six TiO6 octahedra, and faces with two BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Ti–O bond distances ranging from 1.99–2.15 Å. In the seventh Ti+3.33+ site, Ti+3.33+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, edges with four TiO6 octahedra, and faces with two BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–51°. There are a spread of Ti–O bond distances ranging from 1.97–2.07 Å. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to one Ba2+ and four Ti+3.33+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Ti+3.33+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Ti+3.33+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Ti+3.33+ atoms. In the fifth O2- site, O2- is bonded to one Ba2+ and four Ti+3.33+ atoms to form distorted OBaTi4 trigonal bipyramids that share an edgeedge with one OBaTi4 trigonal bipyramid and an edgeedge with one OTi4 trigonal pyramid. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and four Ti+3.33+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti+3.33+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ba2+ and two equivalent Ti+3.33+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti+3.33+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti+3.33+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and four Ti+3.33+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ba2+ and three Ti+3.33+ atoms. In the thirteenth O2- site, O2- is bonded to four Ti+3.33+ atoms to form distorted edge-sharing OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ti6FeO16 by Materials Project

Ti6FeO16 crystallizes in the triclinic P1 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 two equivalent FeO6 octahedra, corners with four TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of Ti–O bond distances ranging from 1.91–2.10 Å. In the second Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with six TiO6 octahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of Ti–O bond distances ranging from 1.82–2.14 Å. In the third Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent FeO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of Ti–O bond distances ranging from 1.80–2.20 Å. In the fourth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent FeO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of Ti–O bond distances ranging from 1.84–2.08 Å. In the fifth Ti site, Ti is bonded to six O atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–59°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the sixth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with six TiO6 octahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of Ti–O bond distances ranging from 1.83–2.17 Å. Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six TiO6 octahedra and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–50°. There are a spread of Fe–O bond distances ranging from 1.88–1.96 Å. There are sixteen inequivalent O sites. In the first O site, O is bonded in a distorted trigonal planar geometry to three Ti atoms. In the second O site, O is bonded in a distorted trigonal planar geometry to two Ti and one Fe atom. In the third O site, O is bonded in a water-like geometry to two Ti atoms. In the fourth O site, O is bonded in a distorted bent 150 degrees geometry to two Ti atoms. In the fifth O site, O is bonded in a trigonal non-coplanar geometry to two Ti and one Fe atom. In the sixth O site, O is bonded in a trigonal non-coplanar geometry to three Ti atoms. In the seventh O site, O is bonded in a bent 120 degrees geometry to one Ti and one Fe atom. In the eighth O site, O is bonded in a trigonal non-coplanar geometry to three Ti atoms. In the ninth O site, O is bonded in a bent 150 degrees geometry to one Ti and one Fe atom. In the tenth O site, O is bonded in a distorted trigonal planar geometry to two Ti and one Fe atom. In the eleventh O site, O is bonded in a trigonal planar geometry to three Ti atoms. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to three Ti atoms. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to three Ti atoms. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to two Ti and one Fe atom.

36 MATERIALS SCIENCE↗

Materials Data on Ti8Al15Rh7 by Materials Project

Ti8Rh7Al15 crystallizes in the orthorhombic Imm2 space group. The structure is three-dimensional. there are four inequivalent Ti sites. In the first Ti site, Ti is bonded in a 1-coordinate geometry to one Ti, four Rh, and eight Al atoms. The Ti–Ti bond length is 2.94 Å. There are a spread of Ti–Rh bond distances ranging from 3.05–3.13 Å. There are a spread of Ti–Al bond distances ranging from 2.62–2.93 Å. In the second Ti site, Ti is bonded in a 1-coordinate geometry to two equivalent Ti, four equivalent Rh, and seven Al atoms. Both Ti–Ti bond lengths are 2.95 Å. All Ti–Rh bond lengths are 3.09 Å. There are a spread of Ti–Al bond distances ranging from 2.59–2.95 Å. In the third Ti site, Ti is bonded in a 1-coordinate geometry to four equivalent Rh and nine Al atoms. All Ti–Rh bond lengths are 3.10 Å. There are a spread of Ti–Al bond distances ranging from 2.62–2.90 Å. In the fourth Ti site, Ti is bonded to three Ti and four Rh atoms to form distorted TiTi3Rh4 tetrahedra that share corners with three equivalent AlTi6 octahedra, a cornercorner with one TiTi3Rh4 tetrahedra, corners with six AlTi3Rh4 tetrahedra, an edgeedge with one TiTi3Rh4 tetrahedra, edges with two equivalent AlTi3Rh4 tetrahedra, and faces with three AlTi3Rh4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ti–Rh bond distances ranging from 2.57–2.67 Å. There are four inequivalent Rh sites. In the first Rh site, Rh is bonded in a 12-coordinate geometry to five Ti and seven Al atoms. There are a spread of Rh–Al bond distances ranging from 2.50–2.69 Å. In the second Rh site, Rh is bonded in a 12-coordinate geometry to six Ti and six Al atoms. There are a spread of Rh–Al bond distances ranging from 2.51–2.69 Å. In the third Rh site, Rh is bonded in a 12-coordinate geometry to four equivalent Ti and eight Al atoms. There are a spread of Rh–Al bond distances ranging from 2.51–2.69 Å. In the fourth Rh site, Rh is bonded in a body-centered cubic geometry to two equivalent Ti and six Al atoms. There are four shorter (2.58 Å) and two longer (2.59 Å) Rh–Al bond lengths. There are eight inequivalent Al sites. In the first Al site, Al is bonded to six Ti atoms to form AlTi6 octahedra that share corners with six equivalent TiTi3Rh4 tetrahedra and corners with eighteen AlTi3Rh4 tetrahedra. In the second Al site, Al is bonded in a 3-coordinate geometry to three Ti and three Rh atoms. In the third Al site, Al is bonded in a distorted trigonal planar geometry to three Ti and three Rh atoms. In the fourth Al site, Al is bonded in a distorted trigonal planar geometry to three Ti and three Rh atoms. In the fifth Al site, Al is bonded in a distorted trigonal planar geometry to three Ti and three Rh atoms. In the sixth Al site, Al is bonded to three Ti and four Rh atoms to form distorted AlTi3Rh4 tetrahedra that share corners with three equivalent AlTi6 octahedra, corners with two equivalent TiTi3Rh4 tetrahedra, corners with five AlTi3Rh4 tetrahedra, an edgeedge with one AlTi3Rh4 tetrahedra, edges with two equivalent TiTi3Rh4 tetrahedra, and faces with three AlTi3Rh4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–47°. In the seventh Al site, Al is bonded to three Ti and four Rh atoms to form distorted AlTi3Rh4 tetrahedra that share corners with three equivalent AlTi6 octahedra, corners with three AlTi3Rh4 tetrahedra, corners with four equivalent TiTi3Rh4 tetrahedra, edges with three AlTi3Rh4 tetrahedra, a faceface with one TiTi3Rh4 tetrahedra, and faces with two equivalent AlTi3Rh4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–47°. In the eighth Al site, Al is bonded to three Ti and four Rh atoms to form distorted AlTi3Rh4 tetrahedra that share corners with three equivalent AlTi6 octahedra, corners with seven AlTi3Rh4 tetrahedra, edges with three AlTi3Rh4 tetrahedra, a faceface with one AlTi3Rh4 tetrahedra, and faces with two equivalent TiTi3Rh4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–47°.

36 MATERIALS SCIENCE↗

Materials Data on La5Ti5O17 by Materials Project

La5Ti5O17 is Pb (Zr_0.50 Ti_0.48) O_3-like structured and crystallizes in the orthorhombic Pmn2_1 space group. The structure is three-dimensional. there are five inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.94 Å. In the second La3+ site, La3+ is bonded in a 12-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.50–2.80 Å. In the third La3+ site, La3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.47–2.95 Å. In the fourth La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.70 Å. In the fifth La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.73 Å. There are five inequivalent Ti+3.80+ sites. In the first Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–34°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the second Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–34°. There are a spread of Ti–O bond distances ranging from 1.84–2.14 Å. In the third Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–26°. There are a spread of Ti–O bond distances ranging from 1.96–1.99 Å. In the fourth Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–36°. There are a spread of Ti–O bond distances ranging from 1.83–2.17 Å. In the fifth Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–36°. There are a spread of Ti–O bond distances ranging from 1.83–2.22 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two equivalent Ti+3.80+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent La3+ and two Ti+3.80+ atoms. In the third O2- site, O2- is bonded to two equivalent La3+ and two Ti+3.80+ atoms to form distorted corner-sharing OLa2Ti2 tetrahedra. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to three La3+ and two equivalent Ti+3.80+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent La3+ and two Ti+3.80+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent La3+ and two Ti+3.80+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Ti+3.80+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent La3+ and two Ti+3.80+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent La3+ and two Ti+3.80+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two equivalent Ti+3.80+ atoms. In the eleventh O2- site, O2- is bonded to three La3+ and one Ti+3.80+ atom to form distorted corner-sharing OLa3Ti tetrahedra. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to three La3+ and one Ti+3.80+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to three La3+ and one Ti+3.80+ atom. In the fourteenth O2- site, O2- is bonded to three La3+ and one Ti+3.80+ atom to form distorted corner-sharing OLa3Ti tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two equivalent Ti+3.80+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent La3+ and two Ti+3.80+ atoms. In the seventeenth O2- site, O2- is bonded to two equivalent La3+ and two Ti+3.80+ atoms to form distorted corner-sharing OLa2Ti2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on MgTi11O20 by Materials Project

MgTi11O20 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with four TiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–42°. There are a spread of Mg–O bond distances ranging from 2.02–2.18 Å. There are seven inequivalent Ti+3.45+ sites. In the first Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.16 Å. In the second Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–41°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the third Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.21 Å. In the fourth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.20 Å. In the fifth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–42°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the sixth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the seventh Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–42°. There are a spread of Ti–O bond distances ranging from 1.95–2.15 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.45+ atoms. In the second O2- site, O2- is bonded to four Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.45+ atoms. In the fourth O2- site, O2- is bonded to four Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Mg2+ and three Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.45+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.45+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.45+ atoms to form distorted OTi4 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Mg2+ and three Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on TiCo2 by Materials Project

TiCo2 is Hexagonal Laves-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are five inequivalent Ti sites. In the first Ti site, Ti is bonded in a 12-coordinate geometry to four Ti and twelve Co atoms. There are one shorter (2.83 Å) and three longer (2.89 Å) Ti–Ti bond lengths. There are a spread of Ti–Co bond distances ranging from 2.75–2.77 Å. In the second Ti site, Ti is bonded in a 12-coordinate geometry to four Ti and twelve Co atoms. There are one shorter (2.83 Å) and three longer (2.89 Å) Ti–Ti bond lengths. There are a spread of Ti–Co bond distances ranging from 2.75–2.77 Å. In the third Ti site, Ti is bonded in a 12-coordinate geometry to four Ti and twelve Co atoms. All Ti–Ti bond lengths are 2.89 Å. There are a spread of Ti–Co bond distances ranging from 2.75–2.77 Å. In the fourth Ti site, Ti is bonded in a 12-coordinate geometry to four Ti and twelve Co atoms. All Ti–Ti bond lengths are 2.89 Å. There are six shorter (2.75 Å) and six longer (2.76 Å) Ti–Co bond lengths. In the fifth Ti site, Ti is bonded in a 12-coordinate geometry to four Ti and twelve Co atoms. The Ti–Ti bond length is 2.89 Å. There are six shorter (2.75 Å) and six longer (2.76 Å) Ti–Co bond lengths. There are three inequivalent Co sites. In the first Co site, Co is bonded to six Ti and six Co atoms to form a mixture of face, edge, and corner-sharing CoTi6Co6 cuboctahedra. There are three shorter (2.36 Å) and three longer (2.37 Å) Co–Co bond lengths. In the second Co site, Co is bonded to six Ti and six Co atoms to form a mixture of face, edge, and corner-sharing CoTi6Co6 cuboctahedra. All Co–Co bond lengths are 2.35 Å. In the third Co site, Co is bonded to six Ti and six Co atoms to form a mixture of face, edge, and corner-sharing CoTi6Co6 cuboctahedra. There are two shorter (2.29 Å) and two longer (2.41 Å) Co–Co bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Ti8Co3NiSn4 by Materials Project

Ti8Co3NiSn4 is Heusler-derived structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are six inequivalent Ti sites. In the first Ti site, Ti is bonded in a body-centered cubic geometry to four Co and four Sn atoms. All Ti–Co bond lengths are 2.78 Å. There are three shorter (2.78 Å) and one longer (2.79 Å) Ti–Sn bond lengths. In the second Ti site, Ti is bonded in a body-centered cubic geometry to four Co and four equivalent Sn atoms. All Ti–Co bond lengths are 2.78 Å. All Ti–Sn bond lengths are 2.78 Å. In the third Ti site, Ti is bonded in a body-centered cubic geometry to three equivalent Co, one Ni, and four Sn atoms. All Ti–Co bond lengths are 2.78 Å. The Ti–Ni bond length is 2.79 Å. All Ti–Sn bond lengths are 2.78 Å. In the fourth Ti site, Ti is bonded in a body-centered cubic geometry to one Co, three equivalent Ni, and four equivalent Sn atoms. The Ti–Co bond length is 2.78 Å. All Ti–Ni bond lengths are 2.78 Å. All Ti–Sn bond lengths are 2.78 Å. In the fifth Ti site, Ti is bonded in a body-centered cubic geometry to one Co, three equivalent Ni, and four equivalent Sn atoms. The Ti–Co bond length is 2.78 Å. All Ti–Ni bond lengths are 2.78 Å. All Ti–Sn bond lengths are 2.78 Å. In the sixth Ti site, Ti is bonded in a body-centered cubic geometry to one Co, three equivalent Ni, and four equivalent Sn atoms. The Ti–Co bond length is 2.78 Å. All Ti–Ni bond lengths are 2.78 Å. All Ti–Sn bond lengths are 2.78 Å. There are two inequivalent Co sites. In the first Co site, Co is bonded in a body-centered cubic geometry to eight Ti atoms. In the second Co site, Co is bonded in a body-centered cubic geometry to eight Ti atoms. Ni is bonded in a body-centered cubic geometry to eight Ti atoms. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a body-centered cubic geometry to eight Ti atoms. In the second Sn site, Sn is bonded in a body-centered cubic geometry to eight Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti5Sb5O17 by Materials Project

Ti5Sb5O17 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are five inequivalent Ti+3.80+ sites. In the first Ti+3.80+ site, Ti+3.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.85–2.42 Å. In the second Ti+3.80+ site, Ti+3.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.46 Å. In the third Ti+3.80+ site, Ti+3.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.82–2.47 Å. In the fourth Ti+3.80+ site, Ti+3.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.84–2.45 Å. In the fifth Ti+3.80+ site, Ti+3.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.47 Å. There are five inequivalent Sb3+ sites. In the first Sb3+ site, Sb3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Sb–O bond distances ranging from 2.11–2.21 Å. In the second Sb3+ site, Sb3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.05–2.77 Å. In the third Sb3+ site, Sb3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.07–2.52 Å. In the fourth Sb3+ site, Sb3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Sb–O bond distances ranging from 2.08–2.22 Å. In the fifth Sb3+ site, Sb3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.05–2.50 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Ti+3.80+ and one Sb3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.80+ and one Sb3+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to two Ti+3.80+ and one Sb3+ atom. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ti+3.80+ and one Sb3+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ti+3.80+ and one Sb3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti+3.80+ and two Sb3+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti+3.80+ and two Sb3+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ti+3.80+ and one Sb3+ atom. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ti+3.80+ and one Sb3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti+3.80+ and two Sb3+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.80+ and one Sb3+ atom. In the twelfth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Ti+3.80+ and two Sb3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti+3.80+ and two Sb3+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ti+3.80+ and one Sb3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Ti+3.80+ and two Sb3+ atoms. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Ti+3.80+ and one Sb3+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Ti+3.80+ and one Sb3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Dy5Ti5O17 by Materials Project

Dy5Ti5O17 crystallizes in the orthorhombic Pmn2_1 space group. The structure is three-dimensional. there are five inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.25–2.78 Å. In the second Dy3+ site, Dy3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Dy–O bond distances ranging from 2.31–2.82 Å. In the third Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.29–2.50 Å. In the fourth Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.23–2.74 Å. In the fifth Dy3+ site, Dy3+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of Dy–O bond distances ranging from 2.33–2.58 Å. There are five inequivalent Ti+3.80+ sites. In the first Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–38°. There are a spread of Ti–O bond distances ranging from 1.82–2.21 Å. In the second Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–39°. There are a spread of Ti–O bond distances ranging from 1.89–2.06 Å. In the third Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–39°. There are a spread of Ti–O bond distances ranging from 1.88–2.15 Å. In the fourth Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–32°. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the fifth Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–38°. There are a spread of Ti–O bond distances ranging from 1.88–2.20 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to three Dy3+ and two equivalent Ti+3.80+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Dy3+ and two equivalent Ti+3.80+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two equivalent Ti+3.80+ atoms. In the fourth O2- site, O2- is bonded to three Dy3+ and one Ti+3.80+ atom to form corner-sharing ODy3Ti tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Ti+3.80+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Dy3+ and two equivalent Ti+3.80+ atoms. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Dy3+ and two Ti+3.80+ atoms. In the eighth O2- site, O2- is bonded to two equivalent Dy3+ and two Ti+3.80+ atoms to form distorted corner-sharing ODy2Ti2 tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Dy3+ and two Ti+3.80+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Dy3+ and two Ti+3.80+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Dy3+ and two Ti+3.80+ atoms. In the twelfth O2- site, O2- is bonded to two equivalent Dy3+ and two Ti+3.80+ atoms to form distorted corner-sharing ODy2Ti2 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Ti+3.80+ atom. In the fourteenth O2- site, O2- is bonded to three Dy3+ and one Ti+3.80+ atom to form corner-sharing ODy3Ti tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Dy3+ and two Ti+3.80+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Dy3+ and two Ti+3.80+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Dy3+ and two equivalent Ti+3.80+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Tm5Ti5O17 by Materials Project

Tm5Ti5O17 crystallizes in the orthorhombic Pmn2_1 space group. The structure is three-dimensional. there are five inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tm–O bond distances ranging from 2.21–2.41 Å. In the second Tm3+ site, Tm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Tm–O bond distances ranging from 2.26–2.70 Å. In the third Tm3+ site, Tm3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tm–O bond distances ranging from 2.25–2.50 Å. In the fourth Tm3+ site, Tm3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tm–O bond distances ranging from 2.18–2.86 Å. In the fifth Tm3+ site, Tm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Tm–O bond distances ranging from 2.29–2.52 Å. There are five inequivalent Ti+3.80+ sites. In the first Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–36°. There are a spread of Ti–O bond distances ranging from 1.80–2.29 Å. In the second Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–41°. There are a spread of Ti–O bond distances ranging from 1.86–2.10 Å. In the third Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–41°. There are a spread of Ti–O bond distances ranging from 1.86–2.18 Å. In the fourth Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–30°. There are a spread of Ti–O bond distances ranging from 1.92–2.08 Å. In the fifth Ti+3.80+ site, Ti+3.80+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–36°. There are a spread of Ti–O bond distances ranging from 1.89–2.20 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Tm3+ and two equivalent Ti+3.80+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Tm3+ and two equivalent Ti+3.80+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Tm3+ and two equivalent Ti+3.80+ atoms. In the fourth O2- site, O2- is bonded to three Tm3+ and one Ti+3.80+ atom to form corner-sharing OTm3Ti tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Tm3+ and one Ti+3.80+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Tm3+ and two equivalent Ti+3.80+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Tm3+ and two Ti+3.80+ atoms. In the eighth O2- site, O2- is bonded to two equivalent Tm3+ and two Ti+3.80+ atoms to form distorted corner-sharing OTm2Ti2 tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Tm3+ and two Ti+3.80+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Tm3+ and two Ti+3.80+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Tm3+ and two Ti+3.80+ atoms. In the twelfth O2- site, O2- is bonded to two equivalent Tm3+ and two Ti+3.80+ atoms to form distorted corner-sharing OTm2Ti2 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tm3+ and one Ti+3.80+ atom. In the fourteenth O2- site, O2- is bonded to three Tm3+ and one Ti+3.80+ atom to form corner-sharing OTm3Ti tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Tm3+ and two Ti+3.80+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Tm3+ and two Ti+3.80+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Tm3+ and two equivalent Ti+3.80+ atoms.

36 MATERIALS SCIENCE↗