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Materials Data on ScTi4(NiSn)5 by Materials Project

ScTi4(NiSn)5 is half-Heusler-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. Sc is bonded in a 4-coordinate geometry to four Ni and six Sn atoms. There are three shorter (2.64 Å) and one longer (2.67 Å) Sc–Ni bond lengths. There are three shorter (3.02 Å) and three longer (3.06 Å) Sc–Sn bond lengths. There are four inequivalent Ti sites. In the first Ti site, Ti is bonded in a 4-coordinate geometry to four Ni and six Sn atoms. There are three shorter (2.57 Å) and one longer (2.59 Å) Ti–Ni bond lengths. There are three shorter (2.97 Å) and three longer (3.01 Å) Ti–Sn bond lengths. In the second Ti site, Ti is bonded in a 4-coordinate geometry to four Ni and six Sn atoms. There are one shorter (2.58 Å) and three longer (2.59 Å) Ti–Ni bond lengths. There are three shorter (2.96 Å) and three longer (3.00 Å) Ti–Sn bond lengths. In the third Ti site, Ti is bonded in a 4-coordinate geometry to four Ni and six Sn atoms. There are one shorter (2.55 Å) and three longer (2.59 Å) Ti–Ni bond lengths. There are three shorter (2.98 Å) and three longer (2.99 Å) Ti–Sn bond lengths. In the fourth Ti site, Ti is bonded in a 4-coordinate geometry to four Ni and six Sn atoms. There are one shorter (2.55 Å) and three longer (2.60 Å) Ti–Ni bond lengths. There are three shorter (2.97 Å) and three longer (2.98 Å) Ti–Sn bond lengths. There are five inequivalent Ni sites. In the first Ni site, Ni is bonded in a body-centered cubic geometry to one Sc, three equivalent Ti, and four Sn atoms. There are one shorter (2.55 Å) and three longer (2.61 Å) Ni–Sn bond lengths. In the second Ni site, Ni is bonded in a body-centered cubic geometry to four Ti and four Sn atoms. All Ni–Sn bond lengths are 2.58 Å. In the third Ni site, Ni is bonded in a body-centered cubic geometry to four Ti and four Sn atoms. There are one shorter (2.58 Å) and three longer (2.59 Å) Ni–Sn bond lengths. In the fourth Ni site, Ni is bonded in a body-centered cubic geometry to four Ti and four Sn atoms. There are one shorter (2.57 Å) and three longer (2.58 Å) Ni–Sn bond lengths. In the fifth Ni site, Ni is bonded in a body-centered cubic geometry to three equivalent Sc, one Ti, and four Sn atoms. There are three shorter (2.59 Å) and one longer (2.75 Å) Ni–Sn bond lengths. There are five inequivalent Sn sites. In the first Sn site, Sn is bonded in a 10-coordinate geometry to six Ti and four Ni atoms. In the second Sn site, Sn is bonded in a 10-coordinate geometry to six Ti and four Ni atoms. In the third Sn site, Sn is bonded in a 10-coordinate geometry to six Ti and four Ni atoms. In the fourth Sn site, Sn is bonded in a distorted q6 geometry to three equivalent Sc, three equivalent Ti, and four Ni atoms. In the fifth Sn site, Sn is bonded in a 10-coordinate geometry to three equivalent Sc, three equivalent Ti, and four Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on SmEr(TiFe11)2 by Materials Project

ErSm(TiFe11)2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. Er is bonded in a 11-coordinate geometry to one Ti and nineteen Fe atoms. The Er–Ti bond length is 3.17 Å. There are a spread of Er–Fe bond distances ranging from 2.95–3.26 Å. Sm is bonded in a 11-coordinate geometry to one Ti and nineteen Fe atoms. The Sm–Ti bond length is 3.18 Å. There are a spread of Sm–Fe bond distances ranging from 2.98–3.27 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a 1-coordinate geometry to one Sm and thirteen Fe atoms. There are a spread of Ti–Fe bond distances ranging from 2.36–2.88 Å. In the second Ti site, Ti is bonded in a 1-coordinate geometry to one Er and thirteen Fe atoms. There are a spread of Ti–Fe bond distances ranging from 2.37–2.88 Å. There are eighteen inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Er, one Ti, and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.43–2.71 Å. In the second Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Sm, one Ti, and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.43–2.75 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Sm, one Ti, and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.42–2.77 Å. In the fourth Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Er, one Ti, and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.43–2.69 Å. In the fifth Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Sm, two equivalent Ti, and eight Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.62 Å. In the sixth Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Er, two equivalent Ti, and eight Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.65 Å. In the seventh Fe site, Fe is bonded to two equivalent Er and ten Fe atoms to form a mixture of distorted corner, edge, and face-sharing FeEr2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.42–2.61 Å. In the eighth Fe site, Fe is bonded to two equivalent Sm and ten Fe atoms to form a mixture of distorted corner, edge, and face-sharing FeSm2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.60 Å. In the ninth Fe site, Fe is bonded to one Er, one Sm, one Ti, and nine Fe atoms to form distorted FeSmErTiFe9 cuboctahedra that share corners with twelve FeEr2Fe10 cuboctahedra, edges with five FeSm2Fe10 cuboctahedra, and faces with eight FeEr2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.34–2.59 Å. In the tenth Fe site, Fe is bonded to one Er, one Sm, one Ti, and nine Fe atoms to form distorted FeSmErTiFe9 cuboctahedra that share corners with twelve FeEr2Fe10 cuboctahedra, edges with five FeEr2Fe10 cuboctahedra, and faces with eight FeSm2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.35–2.61 Å. In the eleventh Fe site, Fe is bonded to two equivalent Sm, one Ti, and nine Fe atoms to form distorted FeSm2TiFe9 cuboctahedra that share corners with twelve FeEr2Fe10 cuboctahedra, edges with five FeSm2Fe10 cuboctahedra, and faces with eight FeSm2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.35–2.60 Å. In the twelfth Fe site, Fe is bonded to two equivalent Er, one Ti, and nine Fe atoms to form a mixture of distorted corner, edge, and face-sharing FeEr2TiFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.35–2.59 Å. In the thirteenth Fe site, Fe is bonded in a 12-coordinate geometry to one Sm, two equivalent Ti, and eleven Fe atoms. There are one shorter (2.43 Å) and two longer (2.92 Å) Fe–Fe bond lengths. In the fourteenth Fe site, Fe is bonded in a 12-coordinate geometry to one Er, two equivalent Ti, and eleven Fe atoms. There are one shorter (2.44 Å) and two longer (2.94 Å) Fe–Fe bond lengths. In the fifteenth Fe site, Fe is bonded in a 12-coordinate geometry to one Er, two equivalent Ti, and eleven Fe atoms. Both Fe–Fe bond lengths are 2.93 Å. In the sixteenth Fe site, Fe is bonded in a 12-coordinate geometry to one Sm, two equivalent Ti, and eleven Fe atoms. Both Fe–Fe bond lengths are 2.92 Å. In the seventeenth Fe site, Fe is bonded in a 1-coordinate geometry to one Er, one Ti, and twelve Fe atoms. In the eighteenth Fe site, Fe is bonded in a 1-coordinate geometry to one Sm, one Ti, and twelve Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Y2Ti2Fe22N by Materials Project

Y2Ti2Fe22N crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent Y sites. In the first Y site, Y is bonded in a linear geometry to one Ti, ten Fe, and two equivalent N atoms. The Y–Ti bond length is 3.20 Å. There are a spread of Y–Fe bond distances ranging from 3.08–3.34 Å. Both Y–N bond lengths are 2.39 Å. In the second Y site, Y is bonded in a 11-coordinate geometry to one Ti and nineteen Fe atoms. The Y–Ti bond length is 3.18 Å. There are a spread of Y–Fe bond distances ranging from 2.98–3.29 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a 1-coordinate geometry to one Y and thirteen Fe atoms. There are a spread of Ti–Fe bond distances ranging from 2.36–2.91 Å. In the second Ti site, Ti is bonded in a 1-coordinate geometry to one Y and thirteen Fe atoms. There are a spread of Ti–Fe bond distances ranging from 2.36–2.91 Å. There are eighteen inequivalent Fe sites. In the first Fe site, Fe is bonded in a single-bond geometry to one Ti, six Fe, and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.44–2.66 Å. The Fe–N bond length is 1.91 Å. In the second Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Y, one Ti, and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.42–2.78 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Y, one Ti, and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.43–2.73 Å. In the fourth Fe site, Fe is bonded in a single-bond geometry to one Ti, six Fe, and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.45–2.66 Å. The Fe–N bond length is 1.91 Å. In the fifth Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Y, two equivalent Ti, and eight Fe atoms. There are four shorter (2.46 Å) and two longer (2.63 Å) Fe–Fe bond lengths. In the sixth Fe site, Fe is bonded in a single-bond geometry to two equivalent Ti, six Fe, and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.49–2.67 Å. The Fe–N bond length is 1.92 Å. In the seventh Fe site, Fe is bonded in a single-bond geometry to six Fe and one N atom. There are a spread of Fe–Fe bond distances ranging from 2.47–2.64 Å. The Fe–N bond length is 1.92 Å. In the eighth Fe site, Fe is bonded to two equivalent Y and ten Fe atoms to form distorted FeY2Fe10 cuboctahedra that share corners with eight FeY2TiFe9 cuboctahedra, edges with six FeY2Fe10 cuboctahedra, and faces with eight FeY2TiFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.61 Å. In the ninth Fe site, Fe is bonded to two Y, one Ti, and nine Fe atoms to form distorted FeY2TiFe9 cuboctahedra that share corners with eleven FeY2Fe10 cuboctahedra, a cornercorner with one NY2Fe4 octahedra, edges with five FeY2Fe10 cuboctahedra, faces with six FeY2TiFe9 cuboctahedra, and a faceface with one NY2Fe4 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Fe–Fe bond distances ranging from 2.38–2.64 Å. In the tenth Fe site, Fe is bonded to two Y, one Ti, and nine Fe atoms to form distorted FeY2TiFe9 cuboctahedra that share corners with eleven FeY2Fe10 cuboctahedra, a cornercorner with one NY2Fe4 octahedra, edges with four FeY2TiFe9 cuboctahedra, faces with eight FeY2Fe10 cuboctahedra, and a faceface with one NY2Fe4 octahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Fe–Fe bond distances ranging from 2.38–2.62 Å. In the eleventh Fe site, Fe is bonded to two equivalent Y, one Ti, and nine Fe atoms to form distorted FeY2TiFe9 cuboctahedra that share corners with eleven FeY2Fe10 cuboctahedra, corners with two equivalent NY2Fe4 octahedra, edges with four FeY2TiFe9 cuboctahedra, faces with six FeY2TiFe9 cuboctahedra, and faces with two equivalent NY2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 67–70°. There are a spread of Fe–Fe bond distances ranging from 2.38–2.63 Å. In the twelfth Fe site, Fe is bonded to two equivalent Y, one Ti, and nine Fe atoms to form a mixture of distorted edge, face, and corner-sharing FeY2TiFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.38–2.62 Å. In the thirteenth Fe site, Fe is bonded in a 12-coordinate geometry to one Y, two equivalent Ti, and eleven Fe atoms. There are one shorter (2.43 Å) and two longer (2.94 Å) Fe–Fe bond lengths. In the fourteenth Fe site, Fe is bonded in a 12-coordinate geometry to one Y, two equivalent Ti, and eleven Fe atoms. There are one shorter (2.43 Å) and two longer (2.94 Å) Fe–Fe bond lengths. In the fifteenth Fe site, Fe is bonded in a 12-coordinate geometry to one Y, two equivalent Ti, and eleven Fe atoms. Both Fe–Fe bond lengths are 2.95 Å. In the sixteenth Fe site, Fe is bonded in a 12-coordinate geometry to one Y, two equivalent Ti, and eleven Fe atoms. Both Fe–Fe bond lengths are 2.95 Å. In the seventeenth Fe site, Fe is bonded in a 1-coordinate geometry to one Ti and nine Fe atoms. In the eighteenth Fe site, Fe is bonded in a 1-coordinate geometry to one Y, one Ti, and eleven Fe atoms. N is bonded to two equivalent Y and four Fe atoms to form NY2Fe4 octahedra that share corners with eight FeY2TiFe9 cuboctahedra, corners with two equivalent NY2Fe4 octahedra, and faces with eight FeY2TiFe9 cuboctahedra. The corner-sharing octahedral tilt angles are 2°.

36 MATERIALS SCIENCE↗

Materials Data on Ti5Al11 by Materials Project

Ti5Al11 is beta Cu3Ti-like structured and crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are five inequivalent Ti sites. In the first Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with twelve TiAl12 cuboctahedra, edges with four equivalent TiTi4Al8 cuboctahedra, edges with twenty AlTi6Al6 cuboctahedra, faces with six TiAl12 cuboctahedra, and faces with twelve AlTi4Al8 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.77–2.86 Å. In the second Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi6Al6 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.77–2.90 Å. In the third Ti site, Ti is bonded to four equivalent Ti and eight Al atoms to form TiTi4Al8 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi6Al6 cuboctahedra, faces with nine TiAl12 cuboctahedra, and faces with nine AlTi6Al6 cuboctahedra. All Ti–Ti bond lengths are 2.79 Å. There are four shorter (2.74 Å) and four longer (2.92 Å) Ti–Al bond lengths. In the fourth Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.76–2.93 Å. In the fifth Ti site, Ti is bonded to four equivalent Ti and eight Al atoms to form TiTi4Al8 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi6Al6 cuboctahedra, faces with nine TiAl12 cuboctahedra, and faces with nine AlTi6Al6 cuboctahedra. There are four shorter (2.73 Å) and four longer (2.94 Å) Ti–Al bond lengths. There are seven inequivalent Al sites. In the first Al site, Al is bonded to six Ti and six Al atoms to form AlTi6Al6 cuboctahedra that share corners with twelve AlTi6Al6 cuboctahedra, edges with twelve TiAl12 cuboctahedra, edges with twelve AlTi6Al6 cuboctahedra, faces with six TiAl12 cuboctahedra, and faces with twelve AlTi6Al6 cuboctahedra. There are four shorter (2.77 Å) and two longer (2.85 Å) Al–Al bond lengths. In the second Al site, Al is bonded to four Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with twelve AlTi6Al6 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi6Al6 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with fourteen AlTi4Al8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.77–2.86 Å. In the third Al site, Al is bonded to six Ti and six Al atoms to form AlTi6Al6 cuboctahedra that share corners with twelve AlTi6Al6 cuboctahedra, edges with twelve TiAl12 cuboctahedra, edges with twelve AlTi6Al6 cuboctahedra, faces with six TiAl12 cuboctahedra, and faces with twelve AlTi6Al6 cuboctahedra. There are four shorter (2.77 Å) and two longer (2.84 Å) Al–Al bond lengths. In the fourth Al site, Al is bonded to four Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with twelve AlTi4Al8 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi6Al6 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with fourteen AlTi6Al6 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.77–2.85 Å. In the fifth Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent TiAl12 cuboctahedra, corners with eight AlTi4Al8 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. In the sixth Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent TiTi4Al8 cuboctahedra, corners with eight AlTi4Al8 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi6Al6 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. In the seventh Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiTi4Al8 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with six TiAl12 cuboctahedra, and faces with twelve AlTi6Al6 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ti9Se2 by Materials Project

Ti9Se2 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. there are five inequivalent Ti sites. In the first Ti site, Ti is bonded in a distorted rectangular see-saw-like geometry to four equivalent Se atoms. There are two shorter (2.64 Å) and two longer (2.67 Å) Ti–Se bond lengths. In the second Ti site, Ti is bonded in a distorted L-shaped geometry to two equivalent Ti and two equivalent Se atoms. Both Ti–Ti bond lengths are 2.85 Å. There are one shorter (2.65 Å) and one longer (2.78 Å) Ti–Se bond lengths. In the third Ti site, Ti is bonded in a distorted L-shaped geometry to one Ti and two equivalent Se atoms. The Ti–Ti bond length is 2.92 Å. Both Ti–Se bond lengths are 2.62 Å. In the fourth Ti site, Ti is bonded in a distorted single-bond geometry to two equivalent Ti and one Se atom. Both Ti–Ti bond lengths are 2.73 Å. The Ti–Se bond length is 2.72 Å. In the fifth Ti site, Ti is bonded in a 10-coordinate geometry to ten Ti atoms. Se is bonded in a 9-coordinate geometry to nine Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiTi8O16 by Materials Project

LiTi8O16 crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.07 Å. There are five inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ 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 1.91–2.07 Å. In the second Ti+3.88+ site, Ti+3.88+ 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 47–49°. There are a spread of Ti–O bond distances ranging from 1.94–2.07 Å. In the third Ti+3.88+ site, Ti+3.88+ 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 49–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the fourth Ti+3.88+ site, Ti+3.88+ 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 46–49°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the fifth Ti+3.88+ site, Ti+3.88+ 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 47–48°. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.88+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.88+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.88+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the tenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+ and three Ti+3.88+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na9Ti20O40 by Materials Project

Na9Ti20O40 is Spinel-like structured and crystallizes in the tetragonal I-4 space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Na–O bond distances ranging from 2.15–2.17 Å. In the second Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 60–62°. All Na–O bond lengths are 2.16 Å. In the third Na1+ site, Na1+ is bonded to four equivalent O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedral tilt angles are 61°. All Na–O bond lengths are 2.16 Å. There are five inequivalent Ti+3.55+ sites. In the first Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.06 Å. In the second Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.06 Å. In the third Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.06 Å. In the fourth Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.02–2.04 Å. In the fifth Ti+3.55+ site, Ti+3.55+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.02–2.04 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+ and three Ti+3.55+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the second O2- site, O2- is bonded to one Na1+ and three Ti+3.55+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the third O2- site, O2- is bonded to one Na1+ and three Ti+3.55+ atoms to form a mixture of edge and corner-sharing ONaTi3 tetrahedra. In the fourth O2- site, O2- is bonded to one Na1+ and three Ti+3.55+ atoms to form a mixture of edge and corner-sharing ONaTi3 tetrahedra. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti+3.55+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the sixth O2- site, O2- is bonded to one Na1+ and three Ti+3.55+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the seventh O2- site, O2- is bonded to one Na1+ and three equivalent Ti+3.55+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the eighth O2- site, O2- is bonded to one Na1+ and three equivalent Ti+3.55+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the ninth O2- site, O2- is bonded to one Na1+ and three Ti+3.55+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.55+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Rb2Ti3(P2O9)2 by Materials Project

Rb2Ti3(P2O9)2 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are two inequivalent Rb sites. In the first Rb site, Rb is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of Rb–O bond distances ranging from 2.98–3.58 Å. In the second Rb site, Rb is bonded in a 12-coordinate geometry to eleven O atoms. There are a spread of Rb–O bond distances ranging from 3.01–3.44 Å. There are three inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra and corners with five PO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.77–2.16 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two TiO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.92–1.98 Å. In the third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra and corners with five PO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of Ti–O bond distances ranging from 1.79–2.12 Å. There are four inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–44°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–43°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. 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 30–45°. There are a spread of P–O bond distances ranging from 1.53–1.56 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 31–46°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. There are eighteen inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to two equivalent Rb, one Ti, and one P atom. In the second O site, O is bonded in a distorted bent 150 degrees geometry to one Rb, one Ti, and one P atom. In the third O site, O is bonded in a 2-coordinate geometry to one Rb, one Ti, and one P atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Rb, one Ti, and one P atom. In the fifth O site, O is bonded in a 2-coordinate geometry to one Rb, one Ti, and one P atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the seventh O site, O is bonded in a 2-coordinate geometry to one Rb, one Ti, and one P atom. In the eighth O site, O is bonded in a distorted bent 150 degrees geometry to two equivalent Rb, one Ti, and one P atom. In the ninth O site, O is bonded in a 2-coordinate geometry to one Rb, one Ti, and one P atom. In the tenth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb, one Ti, and one P atom. In the eleventh O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the twelfth O site, O is bonded in a 2-coordinate geometry to one Rb, one Ti, and one P atom. In the thirteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Rb, one Ti, and one P atom. In the fourteenth O site, O is bonded in a 2-coordinate geometry to one Rb, one Ti, and one P atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one Rb, one Ti, and one P atom. In the sixteenth O site, O is bonded in a distorted bent 150 degrees geometry to two equivalent Rb, one Ti, and one P atom. In the seventeenth O site, O is bonded in a single-bond geometry to three Rb and one P atom. In the eighteenth O site, O is bonded in a single-bond geometry to three Rb and one P atom.

36 MATERIALS SCIENCE↗

Materials Data on MgTi by Materials Project

MgTi is beta-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded to four equivalent Mg and eight Ti atoms to form MgMg4Ti8 cuboctahedra that share corners with six equivalent MgMg4Ti8 cuboctahedra, corners with twelve TiMg7Ti5 cuboctahedra, edges with four equivalent TiMg8Ti4 cuboctahedra, edges with fourteen MgMg5Ti7 cuboctahedra, faces with eight equivalent MgMg5Ti7 cuboctahedra, and faces with twelve TiMg7Ti5 cuboctahedra. There are two shorter (2.94 Å) and two longer (2.99 Å) Mg–Mg bond lengths. There are a spread of Mg–Ti bond distances ranging from 3.01–3.08 Å. In the second Mg site, Mg is bonded to five Mg and seven Ti atoms to form distorted MgMg5Ti7 cuboctahedra that share corners with six equivalent TiMg8Ti4 cuboctahedra, corners with twelve equivalent MgMg5Ti7 cuboctahedra, edges with eight TiMg7Ti5 cuboctahedra, edges with ten MgMg4Ti8 cuboctahedra, faces with eight MgMg4Ti8 cuboctahedra, and faces with twelve TiMg7Ti5 cuboctahedra. There are one shorter (3.01 Å) and two longer (3.04 Å) Mg–Mg bond lengths. There are a spread of Mg–Ti bond distances ranging from 2.94–3.09 Å. There are four inequivalent Ti sites. In the first Ti site, Ti is bonded to seven Mg and five Ti atoms to form distorted TiMg7Ti5 cuboctahedra that share corners with six equivalent MgMg4Ti8 cuboctahedra, corners with twelve TiMg7Ti5 cuboctahedra, edges with eight equivalent MgMg5Ti7 cuboctahedra, edges with ten TiMg8Ti4 cuboctahedra, faces with eight TiMg7Ti5 cuboctahedra, and faces with twelve MgMg4Ti8 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.88–3.12 Å. In the second Ti site, Ti is bonded to seven Mg and five Ti atoms to form distorted TiMg7Ti5 cuboctahedra that share corners with six equivalent MgMg4Ti8 cuboctahedra, corners with twelve TiMg7Ti5 cuboctahedra, edges with eight equivalent MgMg5Ti7 cuboctahedra, edges with ten TiMg8Ti4 cuboctahedra, faces with eight TiMg7Ti5 cuboctahedra, and faces with twelve MgMg4Ti8 cuboctahedra. There are a spread of Ti–Mg bond distances ranging from 2.94–3.09 Å. There are a spread of Ti–Ti bond distances ranging from 2.88–3.01 Å. In the third Ti site, Ti is bonded to eight Mg and four Ti atoms to form TiMg8Ti4 cuboctahedra that share corners with six equivalent TiMg8Ti4 cuboctahedra, corners with twelve equivalent MgMg5Ti7 cuboctahedra, edges with four equivalent MgMg4Ti8 cuboctahedra, edges with fourteen TiMg7Ti5 cuboctahedra, faces with eight TiMg7Ti5 cuboctahedra, and faces with twelve MgMg4Ti8 cuboctahedra. The Ti–Ti bond length is 3.01 Å. In the fourth Ti site, Ti is bonded to seven Mg and five Ti atoms to form distorted TiMg7Ti5 cuboctahedra that share corners with six equivalent MgMg4Ti8 cuboctahedra, corners with twelve TiMg7Ti5 cuboctahedra, edges with eight equivalent MgMg5Ti7 cuboctahedra, edges with ten TiMg8Ti4 cuboctahedra, faces with eight TiMg7Ti5 cuboctahedra, and faces with twelve MgMg4Ti8 cuboctahedra. The Ti–Ti bond length is 3.12 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ti2CdO6 by Materials Project

Ti2CdO6 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 four O atoms to form corner-sharing TiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.75–1.93 Å. In the second Ti site, Ti is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ti–O bond distances ranging from 1.91–2.17 Å. In the third Ti site, Ti is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ti–O bond distances ranging from 1.91–2.17 Å. In the fourth Ti site, Ti is bonded to four O atoms to form corner-sharing TiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.75–1.93 Å. There are two inequivalent Cd sites. In the first Cd site, Cd is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Cd–O bond distances ranging from 2.25–2.66 Å. In the second Cd site, Cd is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Cd–O bond distances ranging from 2.26–2.66 Å. There are twelve inequivalent O sites. In the first O site, O is bonded in a 4-coordinate geometry to two Ti, one Cd, and one O atom. The O–O bond length is 1.45 Å. In the second O site, O is bonded in a distorted T-shaped geometry to two Ti and one Cd atom. In the third O site, O is bonded in a 3-coordinate geometry to one Ti, one Cd, and one O atom. The O–O bond length is 1.45 Å. In the fourth O site, O is bonded in a distorted bent 150 degrees geometry to two Ti and one Cd atom. In the fifth O site, O is bonded in a 3-coordinate geometry to two Ti and one Cd atom. In the sixth O site, O is bonded to two Ti and two Cd atoms to form corner-sharing OTi2Cd2 tetrahedra. In the seventh O site, O is bonded to two Ti and two Cd atoms to form corner-sharing OTi2Cd2 tetrahedra. In the eighth O site, O is bonded in a distorted T-shaped geometry to two Ti and one Cd atom. In the ninth O site, O is bonded in a distorted bent 150 degrees geometry to two Ti and one Cd atom. In the tenth O site, O is bonded in a 3-coordinate geometry to one Ti, one Cd, and one O atom. In the eleventh O site, O is bonded in a distorted T-shaped geometry to two Ti and one Cd atom. In the twelfth O site, O is bonded in a 4-coordinate geometry to two Ti, one Cd, and one O atom.

36 MATERIALS SCIENCE↗

Materials Data on Li7Ti11O24 by Materials Project

Li7Ti11O24 is Spinel-like structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. All Li–O bond lengths are 2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are one shorter (1.98 Å) and three longer (2.02 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. All Li–O bond lengths are 2.11 Å. There are five inequivalent Ti+3.73+ sites. In the first Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.06 Å. In the second Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.02 Å. In the third Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the fourth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are four shorter (2.00 Å) and two longer (2.02 Å) Ti–O bond lengths. In the fifth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.02 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti+3.73+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.73+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Ti+3.73+ atoms. In the seventh O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on MgTi2 by Materials Project

MgTi2 is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded to four Mg and eight Ti atoms to form MgMg4Ti8 cuboctahedra that share corners with six equivalent TiMg4Ti8 cuboctahedra, corners with twelve MgMg4Ti8 cuboctahedra, edges with three equivalent MgMg4Ti8 cuboctahedra, edges with fifteen TiMg4Ti8 cuboctahedra, faces with six MgMg4Ti8 cuboctahedra, and faces with fourteen TiMg2Ti10 cuboctahedra. There are two shorter (2.88 Å) and two longer (2.98 Å) Mg–Mg bond lengths. There are a spread of Mg–Ti bond distances ranging from 2.90–3.03 Å. In the second Mg site, Mg is bonded to four Mg and eight Ti atoms to form MgMg4Ti8 cuboctahedra that share corners with six equivalent TiMg4Ti8 cuboctahedra, corners with twelve MgMg4Ti8 cuboctahedra, edges with three equivalent MgMg4Ti8 cuboctahedra, edges with fifteen TiMg2Ti10 cuboctahedra, faces with six MgMg4Ti8 cuboctahedra, and faces with fourteen TiMg2Ti10 cuboctahedra. Both Mg–Mg bond lengths are 2.88 Å. There are a spread of Mg–Ti bond distances ranging from 2.99–3.04 Å. There are four inequivalent Ti sites. In the first Ti site, Ti is bonded to two equivalent Mg and ten Ti atoms to form TiMg2Ti10 cuboctahedra that share corners with eighteen TiMg2Ti10 cuboctahedra, edges with eight equivalent MgMg4Ti8 cuboctahedra, edges with ten TiMg4Ti8 cuboctahedra, faces with eight MgMg4Ti8 cuboctahedra, and faces with twelve TiMg2Ti10 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.87–2.98 Å. In the second Ti site, Ti is bonded to four equivalent Mg and eight Ti atoms to form TiMg4Ti8 cuboctahedra that share corners with eighteen TiMg2Ti10 cuboctahedra, edges with six TiMg2Ti10 cuboctahedra, edges with twelve MgMg4Ti8 cuboctahedra, faces with six MgMg4Ti8 cuboctahedra, and faces with fourteen TiMg2Ti10 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.88–3.03 Å. In the third Ti site, Ti is bonded to six Mg and six Ti atoms to form TiMg6Ti6 cuboctahedra that share corners with eighteen TiMg2Ti10 cuboctahedra, edges with four equivalent MgMg4Ti8 cuboctahedra, edges with fourteen TiMg2Ti10 cuboctahedra, faces with ten MgMg4Ti8 cuboctahedra, and faces with ten TiMg2Ti10 cuboctahedra. Both Ti–Ti bond lengths are 2.88 Å. In the fourth Ti site, Ti is bonded to four Mg and eight Ti atoms to form distorted TiMg4Ti8 cuboctahedra that share corners with six equivalent TiMg4Ti8 cuboctahedra, corners with twelve MgMg4Ti8 cuboctahedra, edges with six MgMg4Ti8 cuboctahedra, edges with twelve TiMg2Ti10 cuboctahedra, faces with four MgMg4Ti8 cuboctahedra, and faces with sixteen TiMg2Ti10 cuboctahedra. Both Ti–Ti bond lengths are 2.88 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ti2VNi9 by Materials Project

Ti2VNi9 is Uranium Silicide-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are four inequivalent Ti sites. In the first Ti site, Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with six equivalent TiNi12 cuboctahedra, corners with six VNi12 cuboctahedra, edges with twenty-four NiTi3VNi8 cuboctahedra, faces with six TiNi12 cuboctahedra, and faces with twelve NiTi3VNi8 cuboctahedra. There are six shorter (2.52 Å) and six longer (2.55 Å) Ti–Ni bond lengths. In the second Ti site, Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with six equivalent TiNi12 cuboctahedra, corners with twelve NiTi3VNi8 cuboctahedra, edges with eighteen NiTi2V2Ni8 cuboctahedra, faces with two TiNi12 cuboctahedra, faces with six VNi12 cuboctahedra, and faces with twelve NiTi2V2Ni8 cuboctahedra. There are six shorter (2.52 Å) and six longer (2.55 Å) Ti–Ni bond lengths. In the third Ti site, Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with six equivalent TiNi12 cuboctahedra, corners with twelve NiTi3VNi8 cuboctahedra, edges with eighteen NiTi3VNi8 cuboctahedra, faces with three equivalent VNi12 cuboctahedra, faces with five TiNi12 cuboctahedra, and faces with twelve NiTi3VNi8 cuboctahedra. There are a spread of Ti–Ni bond distances ranging from 2.52–2.56 Å. In the fourth Ti site, Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with six equivalent TiNi12 cuboctahedra, corners with twelve NiTi2V2Ni8 cuboctahedra, edges with eighteen NiTi3VNi8 cuboctahedra, faces with three equivalent VNi12 cuboctahedra, faces with five TiNi12 cuboctahedra, and faces with twelve NiTi3VNi8 cuboctahedra. There are a spread of Ti–Ni bond distances ranging from 2.52–2.56 Å. There are three inequivalent V sites. In the first V site, V is bonded to twelve Ni atoms to form VNi12 cuboctahedra that share corners with three equivalent TiNi12 cuboctahedra, corners with nine VNi12 cuboctahedra, edges with twenty-four NiTi3VNi8 cuboctahedra, faces with six TiNi12 cuboctahedra, and faces with twelve NiTi3VNi8 cuboctahedra. There are a spread of V–Ni bond distances ranging from 2.51–2.53 Å. In the second V site, V is bonded to twelve Ni atoms to form VNi12 cuboctahedra that share corners with six equivalent TiNi12 cuboctahedra, corners with six equivalent VNi12 cuboctahedra, edges with twenty-four NiTi3VNi8 cuboctahedra, faces with six equivalent TiNi12 cuboctahedra, and faces with twelve NiTi3VNi8 cuboctahedra. All V–Ni bond lengths are 2.52 Å. In the third V site, V is bonded to twelve Ni atoms to form VNi12 cuboctahedra that share corners with twelve VNi12 cuboctahedra, edges with twenty-four NiTi2V2Ni8 cuboctahedra, faces with six equivalent TiNi12 cuboctahedra, and faces with twelve NiTi2V2Ni8 cuboctahedra. There are six shorter (2.52 Å) and six longer (2.54 Å) V–Ni bond lengths. There are twelve inequivalent Ni sites. In the first Ni site, Ni is bonded to three Ti, one V, and eight Ni atoms to form distorted NiTi3VNi8 cuboctahedra that share corners with four TiNi12 cuboctahedra, corners with fourteen NiTi3VNi8 cuboctahedra, edges with two equivalent VNi12 cuboctahedra, edges with four TiNi12 cuboctahedra, edges with twelve NiTi3VNi8 cuboctahedra, a faceface with one VNi12 cuboctahedra, faces with three TiNi12 cuboctahedra, and faces with sixteen NiTi3VNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.51–2.54 Å. In the second Ni site, Ni is bonded to two equivalent Ti, two V, and eight Ni atoms to form distorted NiTi2V2Ni8 cuboctahedra that share corners with four TiNi12 cuboctahedra, corners with fourteen NiTi3VNi8 cuboctahedra, edges with two equivalent TiNi12 cuboctahedra, edges with four VNi12 cuboctahedra, edges with twelve NiTi2V2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two VNi12 cuboctahedra, and faces with sixteen NiTi2V2Ni8 cuboctahedra. There are four shorter (2.52 Å) and four longer (2.53 Å) Ni–Ni bond lengths. In the third Ni site, Ni is bonded to three Ti, one V, and eight Ni atoms to form distorted NiTi3VNi8 cuboctahedra that share corners with four TiNi12 cuboctahedra, corners with fourteen NiTi3VNi8 cuboctahedra, edges with two equivalent VNi12 cuboctahedra, edges with four TiNi12 cuboctahedra, edges with twelve NiTi3VNi8 cuboctahedra, a faceface with one VNi12 cuboctahedra, faces with three TiNi12 cuboctahedra, and faces with sixteen NiTi3VNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.51–2.54 Å. In the fourth Ni site, Ni is bonded to three Ti, one V, and eight Ni atoms to form distorted NiTi3VNi8 cuboctahedra that share corners with four TiNi12 cuboctahedra, corners with fourteen NiTi2V2Ni8 cuboctahedra, edges with two equivalent VNi12 cuboctahedra, edges with four TiNi12 cuboctahedra, edges with twelve NiTi3VNi8 cuboctahedra, a faceface with one VNi12 cuboctahedra, faces with three TiNi12 cuboctahedra, and faces with sixteen NiTi3VNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.51–2.54 Å. In the fifth Ni site, Ni is bonded to two Ti, two equivalent V, and eight Ni atoms to form distorted NiTi2V2Ni8 cuboctahedra that share corners with twelve NiTi2V2Ni8 cuboctahedra, edges with three VNi12 cuboctahedra, edges with five TiNi12 cuboctahedra, edges with sixteen NiTi3VNi8 cuboctahedra, faces with two TiNi12 cuboctahedra, faces with two equivalent VNi12 cuboctahedra, and faces with fourteen NiTi3VNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.46–2.58 Å. In the sixth Ni site, Ni is bonded to two equivalent Ti, two equivalent V, and eight Ni atoms to form distorted NiTi2V2Ni8 cuboctahedra that share corners with twelve NiTi2V2Ni8 cuboctahedra, edges with two equivalent VNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi3VNi8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent VNi12 cuboctahedra, and faces with fourteen NiTi3VNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.47–2.58 Å. In the seventh Ni site, Ni is bonded to two Ti, two equivalent V, and eight Ni atoms to form distorted NiTi2V2Ni8 cuboctahedra that share corners with twelve NiTi2V2Ni8 cuboctahedra, edges with three VNi12 cuboctahedra, edges with five TiNi12 cuboctahedra, edges with sixteen NiTi3VNi8 cuboctahedra, faces with two TiNi12 cuboctahedra, faces with two equivalent VNi12 cuboctahedra, and faces with fourteen NiTi3VNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.46–2.58 Å. In the eighth Ni site, Ni is bonded to two equivalent Ti, two equivalent V, and eight Ni atoms to form distorted NiTi2V2Ni8 cuboctahedra that share corners with twelve NiTi2V2Ni8 cuboctahedra, edges with four equivalent TiNi12 cuboctahedra, edges with four VNi12 cuboctahedra, edges with sixteen NiTi2V2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent VNi12 cuboctahedra, and faces with fourteen NiTi2V2Ni8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.47–2.58 Å. In the ninth Ni site, Ni is bonded to four Ti and eight Ni atoms to form distorted NiTi4Ni8 cuboctahedra that share corners with twelve NiTi2V2Ni8 cuboctahedra, edges with two VNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi3VNi8 cuboctahedra, faces with four TiNi12 cuboctahedra, and faces with fourteen NiTi3VNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.46–2.58 Å. In the tenth Ni site, Ni is bonded to four Ti and eight Ni atoms to form distorted NiTi4Ni8 cuboctahedra that share corners with twelve NiTi4Ni8 cuboctahedra, edges with two VNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi3VNi8 cuboctahedra, faces with four TiNi12 cuboctahedra, and faces with fourteen NiTi3VNi8 cuboctahedra. In the eleventh Ni site, Ni is bonded to two equivalent Ti, two V, and eight Ni atoms to form distorted NiTi2V2Ni8 cuboctahedra that share corners with four TiNi12 cuboctahedra, corners with fourteen NiTi2V2Ni8 cuboctahedra, edges with two equivalent TiNi12 cuboctahedra, edges with four VNi12 cuboctahedra, edges with twelve NiTi2V2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two VNi12 cuboctahedra, and faces with sixteen NiTi3VNi8 cuboctahedra. In the twelfth Ni site, Ni is bonded to three Ti, one V, and eight Ni atoms to form distorted NiTi3VNi8 cuboctahedra that share corners with four TiNi12 cuboctahedra, corners with fourteen NiTi3VNi8 cuboctahedra, edges with two equivalent VNi12 cuboctahedra, edges with four TiNi12 cuboctahedra, edges with twelve NiTi3VNi8 cuboctahedra, a faceface with one VNi12 cuboctahedra, faces with three TiNi12 cuboctahedra, and faces with sixteen NiTi3VNi8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on MgTi2 by Materials Project

MgTi2 is beta-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded to four Mg and eight Ti atoms to form MgMg4Ti8 cuboctahedra that share corners with six equivalent TiMg4Ti8 cuboctahedra, corners with twelve MgMg4Ti8 cuboctahedra, edges with three equivalent MgMg4Ti8 cuboctahedra, edges with fifteen TiMg3Ti9 cuboctahedra, faces with five MgMg4Ti8 cuboctahedra, and faces with fifteen TiMg3Ti9 cuboctahedra. There are two shorter (2.88 Å) and two longer (2.97 Å) Mg–Mg bond lengths. There are a spread of Mg–Ti bond distances ranging from 2.96–3.13 Å. In the second Mg site, Mg is bonded to four Mg and eight Ti atoms to form MgMg4Ti8 cuboctahedra that share corners with six equivalent TiMg4Ti8 cuboctahedra, corners with twelve MgMg4Ti8 cuboctahedra, edges with three equivalent MgMg4Ti8 cuboctahedra, edges with fifteen TiMg3Ti9 cuboctahedra, faces with five MgMg4Ti8 cuboctahedra, and faces with fifteen TiMg3Ti9 cuboctahedra. Both Mg–Mg bond lengths are 2.88 Å. There are a spread of Mg–Ti bond distances ranging from 2.93–3.11 Å. There are four inequivalent Ti sites. In the first Ti site, Ti is bonded to three Mg and nine Ti atoms to form distorted TiMg3Ti9 cuboctahedra that share corners with eighteen TiMg3Ti9 cuboctahedra, edges with eight TiMg5Ti7 cuboctahedra, edges with ten MgMg4Ti8 cuboctahedra, faces with seven MgMg4Ti8 cuboctahedra, and faces with thirteen TiMg3Ti9 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.88–3.10 Å. In the second Ti site, Ti is bonded to five Mg and seven Ti atoms to form TiMg5Ti7 cuboctahedra that share corners with eighteen TiMg3Ti9 cuboctahedra, edges with eight MgMg4Ti8 cuboctahedra, edges with ten TiMg3Ti9 cuboctahedra, faces with eight MgMg4Ti8 cuboctahedra, and faces with twelve TiMg3Ti9 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.88–3.04 Å. In the third Ti site, Ti is bonded to four Mg and eight Ti atoms to form distorted TiMg4Ti8 cuboctahedra that share corners with eighteen TiMg3Ti9 cuboctahedra, edges with six MgMg4Ti8 cuboctahedra, edges with twelve TiMg3Ti9 cuboctahedra, faces with nine MgMg4Ti8 cuboctahedra, and faces with eleven TiMg3Ti9 cuboctahedra. All Ti–Ti bond lengths are 2.88 Å. In the fourth Ti site, Ti is bonded to four Mg and eight Ti atoms to form distorted TiMg4Ti8 cuboctahedra that share corners with six equivalent TiMg4Ti8 cuboctahedra, corners with twelve MgMg4Ti8 cuboctahedra, edges with six MgMg4Ti8 cuboctahedra, edges with twelve TiMg3Ti9 cuboctahedra, faces with six MgMg4Ti8 cuboctahedra, and faces with fourteen TiMg3Ti9 cuboctahedra. Both Ti–Ti bond lengths are 2.88 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ti5Al2C3 by Materials Project

Ti5Al2C3 is H-Phase-like structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are five inequivalent Ti sites. In the first Ti site, Ti is bonded to six C atoms to form edge-sharing TiC6 octahedra. There are three shorter (2.19 Å) and three longer (2.20 Å) Ti–C bond lengths. In the second Ti site, Ti is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All Ti–Al bond lengths are 2.92 Å. All Ti–C bond lengths are 2.07 Å. In the third Ti site, Ti is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All Ti–Al bond lengths are 2.90 Å. All Ti–C bond lengths are 2.11 Å. In the fourth Ti site, Ti is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All Ti–Al bond lengths are 2.89 Å. All Ti–C bond lengths are 2.11 Å. In the fifth Ti site, Ti is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent C atoms. All Ti–Al bond lengths are 2.91 Å. All Ti–C bond lengths are 2.07 Å. There are two inequivalent Al sites. In the first Al site, Al is bonded to six Ti and six equivalent Al atoms to form distorted AlTi6Al6 cuboctahedra that share corners with six equivalent AlTi6Al6 cuboctahedra, corners with six CTi6 octahedra, edges with six equivalent AlTi6Al6 cuboctahedra, edges with six CTi6 octahedra, and faces with six equivalent AlTi6Al6 cuboctahedra. The corner-sharing octahedra tilt angles range from 19–21°. All Al–Al bond lengths are 3.07 Å. In the second Al site, Al is bonded to six Ti and six equivalent Al atoms to form distorted AlTi6Al6 cuboctahedra that share corners with six equivalent AlTi6Al6 cuboctahedra, corners with six CTi6 octahedra, edges with six equivalent AlTi6Al6 cuboctahedra, edges with six CTi6 octahedra, and faces with six equivalent AlTi6Al6 cuboctahedra. The corner-sharing octahedra tilt angles range from 19–21°. All Al–Al bond lengths are 3.07 Å. There are three inequivalent C sites. In the first C site, C is bonded to six Ti atoms to form CTi6 octahedra that share corners with three equivalent AlTi6Al6 cuboctahedra, corners with three equivalent CTi6 octahedra, edges with three equivalent AlTi6Al6 cuboctahedra, and edges with nine CTi6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second C site, C is bonded to six Ti atoms to form CTi6 octahedra that share corners with three equivalent AlTi6Al6 cuboctahedra, corners with three equivalent CTi6 octahedra, edges with three equivalent AlTi6Al6 cuboctahedra, and edges with nine CTi6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third C site, C is bonded to six Ti atoms to form CTi6 octahedra that share corners with six AlTi6Al6 cuboctahedra, edges with six AlTi6Al6 cuboctahedra, and edges with six equivalent CTi6 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3Fe5O16 by Materials Project

Li4Ti3Fe5O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with four TiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the second Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.79–2.01 Å. In the third Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.80–1.97 Å. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with five TiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are two shorter (1.99 Å) and two longer (2.01 Å) Li–O bond lengths. There are three 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 three LiO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Ti–O bond distances ranging from 1.96–2.02 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. There are five inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four FeO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Fe–O bond distances ranging from 2.02–2.14 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 2.01–2.06 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four TiO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Fe–O bond distances ranging from 2.03–2.11 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Fe–O bond distances ranging from 1.96–2.05 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with three FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.99–2.07 Å. There are sixteen inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the second O site, O is bonded to one Li, two Ti, and one Fe atom to form distorted OLiTi2Fe tetrahedra that share corners with four OLiTi2Fe tetrahedra and edges with two OLiTiFe2 tetrahedra. In the third O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Ti, and one Fe atom. In the fourth O site, O is bonded to one Li, two Ti, and one Fe atom to form distorted corner-sharing OLiTi2Fe tetrahedra. In the fifth O site, O is bonded to one Li, one Ti, and two Fe atoms to form distorted corner-sharing OLiTiFe2 tetrahedra. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the seventh O site, O is bonded to one Li, one Ti, and two Fe atoms to form distorted OLiTiFe2 tetrahedra that share corners with four OLiTi2Fe tetrahedra and edges with two OLiTiFe2 tetrahedra. In the eighth O site, O is bonded to one Li, one Ti, and two Fe atoms to form distorted OLiTiFe2 tetrahedra that share corners with four OLiTi2Fe tetrahedra and edges with two OLiTiFe2 tetrahedra. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Ti, and one Fe atom. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the eleventh O site, O is bonded to one Li, one Ti, and two Fe atoms to form distorted OLiTiFe2 tetrahedra that share corners with four OLiTiFe2 tetrahedra and edges with two OLiFe3 tetrahedra. In the twelfth O site, O is bonded to one Li, one Ti, and two Fe atoms to form distorted OLiTiFe2 tetrahedra that share corners with four OLiTiFe2 tetrahedra and edges with two OLiFe3 tetrahedra. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the fifteenth O site, O is bonded to one Li and three Fe atoms to form a mixture of distorted edge and corner-sharing OLiFe3 tetrahedra. In the sixteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na2Ti12O25 by Materials Project

Na2Ti12O25 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.46–2.98 Å. In the second Na1+ site, Na1+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are two shorter (2.42 Å) and two longer (2.44 Å) Na–O bond lengths. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.49–2.98 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.49–3.00 Å. There are twenty-four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ 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 4–30°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–30°. There are a spread of Ti–O bond distances ranging from 1.83–2.22 Å. In the third Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.81–2.27 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.81–2.26 Å. In the fifth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.31 Å. In the sixth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.28 Å. In the seventh Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.32 Å. In the eighth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.29 Å. In the ninth Ti4+ site, Ti4+ 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 28–32°. There are a spread of Ti–O bond distances ranging from 1.81–2.26 Å. In the tenth Ti4+ site, Ti4+ 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 29–32°. There are a spread of Ti–O bond distances ranging from 1.81–2.27 Å. In the eleventh Ti4+ site, Ti4+ 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 27–28°. There are a spread of Ti–O bond distances ranging from 1.87–2.21 Å. In the twelfth Ti4+ site, Ti4+ 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 27–28°. There are a spread of Ti–O bond distances ranging from 1.87–2.21 Å. In the thirteenth Ti4+ site, Ti4+ 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 27–29°. There are a spread of Ti–O bond distances ranging from 1.86–2.21 Å. In the fourteenth Ti4+ site, Ti4+ 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 27–28°. There are a spread of Ti–O bond distances ranging from 1.86–2.20 Å. In the fifteenth Ti4+ site, Ti4+ 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 28–32°. There are a spread of Ti–O bond distances ranging from 1.81–2.26 Å. In the sixteenth Ti4+ site, Ti4+ 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 28–32°. There are a spread of Ti–O bond distances ranging from 1.80–2.27 Å. In the seventeenth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.77–2.29 Å. In the eighteenth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.77–2.31 Å. In the nineteenth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.79–2.32 Å. In the twentieth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.31 Å. In the twenty-first Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.26 Å. In the twenty-second Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.27 Å. In the twenty-third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–31°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the twenty-fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–31°. There are a spread of Ti–O bond distances ranging from 1.84–2.22 Å. There are fifty inequivalent O2- sites. In the first O2- site, O2- is bonded to two Na1+ and two Ti4+ atoms to form distorted ONa2Ti2 tetrahedra that share corners with two equivalent ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and an edgeedge with one OTi4 trigonal pyramid. In the second O2- site, O2- is bonded to two Na1+ and two Ti4+ atoms to form distorted ONa2Ti2 tetrahedra that share corners with two equivalent ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and an edgeedge with one OTi4 trigonal pyramid. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with two ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with two ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one ONa2Ti2 tetrahedra, and edges with two OTi4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one ONa2Ti2 tetrahedra, and edges with two OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to one Na1+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to one Na1+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Na1+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Na1+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the thirty-third O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Na1+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Na1+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirty-sixth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirty-seventh O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirty-eighth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirty-ninth O2- site, O2- is bonded in a distorted linear geometry to two Na1+ and two Ti4+ atoms. In the fortieth O2- site, O2- is bonded in a distorted linear geometry to two Na1+ and two Ti4+ atoms. In the forty-first O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the forty-second O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the forty-third O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the forty-fourth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the forty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ti4+ atoms. In the forty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ti4+ atoms. In the forty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the forty-e

36 MATERIALS SCIENCE↗

Materials Data on Na2Ti4O9 by Materials Project

Na2Ti4O9 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–2.82 Å. In the second Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.88 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.89 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are two shorter (2.45 Å) and four longer (2.50 Å) Na–O bond lengths. In the fifth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.71 Å. In the sixth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.63 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.63 Å. In the eighth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.80 Å. In the ninth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.44–2.95 Å. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.88 Å. In the eleventh Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.85 Å. In the twelfth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.46–2.84 Å. There are twenty-four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ 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 45–48°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the second Ti4+ site, Ti4+ 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 44–51°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the third Ti4+ site, Ti4+ 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 45–47°. There are a spread of Ti–O bond distances ranging from 1.91–2.06 Å. In the fourth Ti4+ site, Ti4+ 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 44–48°. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the fifth Ti4+ site, Ti4+ 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 39–53°. There are a spread of Ti–O bond distances ranging from 1.83–2.31 Å. In the sixth Ti4+ site, Ti4+ 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 39–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the eighth Ti4+ site, Ti4+ 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 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.07 Å. In the ninth Ti4+ site, Ti4+ 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 47–50°. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the tenth Ti4+ site, Ti4+ 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 47–49°. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the eleventh Ti4+ site, Ti4+ 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 47–48°. There are a spread of Ti–O bond distances ranging from 1.89–2.07 Å. In the twelfth Ti4+ site, Ti4+ 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 47–53°. There are a spread of Ti–O bond distances ranging from 1.90–2.15 Å. In the thirteenth Ti4+ site, Ti4+ 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 47–48°. There are a spread of Ti–O bond distances ranging from 1.90–2.07 Å. In the fourteenth Ti4+ site, Ti4+ 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 48–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.14 Å. In the fifteenth Ti4+ site, Ti4+ 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 47–50°. There are a spread of Ti–O bond distances ranging from 1.88–2.13 Å. In the sixteenth Ti4+ site, Ti4+ 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 47–49°. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.03 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the nineteenth Ti4+ site, Ti4+ 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 38–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. In the twentieth Ti4+ site, Ti4+ 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 44–48°. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the twenty-first Ti4+ site, Ti4+ 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 38–52°. There are a spread of Ti–O bond distances ranging from 1.84–2.28 Å. In the twenty-second Ti4+ site, Ti4+ 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 45–47°. There are a spread of Ti–O bond distances ranging from 1.91–2.06 Å. In the twenty-third Ti4+ site, Ti4+ 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 44–51°. There are a spread of Ti–O bond distances ranging from 1.86–2.18 Å. In the twenty-fourth Ti4+ site, Ti4+ 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 45–48°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. There are fifty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 tetrahedra that share corners with four ONaTi3 trigonal pyramids, an edgeedge with one ONa2Ti3 square pyramid, and an edgeedge with one ONaTi3 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONa2Ti3 square pyramid, corners with two ONaTi3 trigonal pyramids, an edgeedge with one ONaTi3 tetrahedra, and an edgeedge with one ONaTi3 trigonal pyramid. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form a mixture of distorted corner and edge-sharing ONaTi3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form a mixture of distorted corner and edge-sharing ONaTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Ti4+ atoms to form distorted ONaTi3 trigonal pyramids that share a cornercorner with one ONaTi3 trigonal pyramid, edges with two ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the eighteenth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted ONa2Ti3 square pyramids that share a cornercorner with one ONa2Ti3 square pyramid, a cornercorner with one ONaTi3 trigonal pyramid, an edgeedge with one ONaTi3 tetrahedra, and edges with two ONaTi3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted water-like geometry to one Na1+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to one Na1+ and two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to four Na1+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramids. In the twenty-seventh O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramids. In the twenty-eighth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramids. In the twenty-ninth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted edge-sharing ONa2Ti3 trigonal bipyramids. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+ and three Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a 6-coordinate geometry to four Na1+ and t

36 MATERIALS SCIENCE↗