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DOE OSTI2020

Materials Data on Tb5Ti5O17 by Materials Project

Tb5Ti5O17 crystallizes in the orthorhombic Pmn2_1 space group. The structure is three-dimensional. there are five inequivalent Tb3+ sites. In the first Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.26–2.84 Å. In the second Tb3+ site, Tb3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Tb–O bond distances ranging from 2.32–2.95 Å. In the third Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.30–2.53 Å. In the fourth Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.23–2.80 Å. In the fifth Tb3+ site, Tb3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Tb–O bond distances ranging from 2.35–2.97 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 12–37°. There are a spread of Ti–O bond distances ranging from 1.88–2.19 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 12–37°. There are a spread of Ti–O bond distances ranging from 1.82–2.23 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 14–39°. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the fourth 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 11–39°. There are a spread of Ti–O bond distances ranging from 1.89–2.15 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 11–30°. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Tb3+ and two equivalent Ti+3.80+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Tb3+ and two Ti+3.80+ atoms. In the third O2- site, O2- is bonded to two equivalent Tb3+ and two Ti+3.80+ atoms to form distorted corner-sharing OTb2Ti2 tetrahedra. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Tb3+ and two Ti+3.80+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Tb3+ and two Ti+3.80+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti+3.80+ atom. In the seventh O2- site, O2- is bonded to three Tb3+ and one Ti+3.80+ atom to form corner-sharing OTb3Ti tetrahedra. In the eighth O2- site, O2- is bonded to two equivalent Tb3+ and two Ti+3.80+ atoms to form distorted corner-sharing OTb2Ti2 tetrahedra. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Tb3+ and two Ti+3.80+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Tb3+ and two Ti+3.80+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Tb3+ and two Ti+3.80+ atoms. In the twelfth O2- site, O2- is bonded to three Tb3+ and one Ti+3.80+ atom to form corner-sharing OTb3Ti tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Ti+3.80+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Tb3+ and two equivalent Ti+3.80+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Tb3+ and two equivalent Ti+3.80+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Tb3+ and two equivalent Ti+3.80+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Tb3+ and two equivalent Ti+3.80+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti2NbNi9 by Materials Project

Ti2NbNi9 is Uranium Silicide-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are five inequivalent Ti sites. In the first Ti site, Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with four TiNi12 cuboctahedra, corners with eight NbNi12 cuboctahedra, edges with twenty-four NiTi3NbNi8 cuboctahedra, faces with six TiNi12 cuboctahedra, and faces with twelve NiTi3NbNi8 cuboctahedra. There are a spread of Ti–Ni bond distances ranging from 2.54–2.57 Å. In the second Ti site, Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with four TiNi12 cuboctahedra, corners with eight NbNi12 cuboctahedra, edges with twenty-four NiTi2Nb2Ni8 cuboctahedra, faces with six TiNi12 cuboctahedra, and faces with twelve NiTi3NbNi8 cuboctahedra. There are a spread of Ti–Ni bond distances ranging from 2.54–2.58 Å. In the third Ti site, Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with six TiNi12 cuboctahedra, corners with twelve NiTi3NbNi8 cuboctahedra, edges with eighteen NiTi2Nb2Ni8 cuboctahedra, faces with four TiNi12 cuboctahedra, faces with four NbNi12 cuboctahedra, and faces with twelve NiTi3NbNi8 cuboctahedra. There are a spread of Ti–Ni bond distances ranging from 2.56–2.61 Å. In the fourth Ti site, Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with six TiNi12 cuboctahedra, corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with eighteen NiTi3NbNi8 cuboctahedra, faces with three TiNi12 cuboctahedra, faces with five NbNi12 cuboctahedra, and faces with twelve NiTi2Nb2Ni8 cuboctahedra. There are a spread of Ti–Ni bond distances ranging from 2.56–2.61 Å. In the fifth Ti site, Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with six TiNi12 cuboctahedra, corners with twelve NiTi3NbNi8 cuboctahedra, edges with eighteen NiTi3NbNi8 cuboctahedra, faces with three NbNi12 cuboctahedra, faces with five TiNi12 cuboctahedra, and faces with twelve NiTi3NbNi8 cuboctahedra. There are a spread of Ti–Ni bond distances ranging from 2.56–2.60 Å. There are four inequivalent Nb sites. In the first Nb site, Nb is bonded to twelve Ni atoms to form NbNi12 cuboctahedra that share corners with two equivalent TiNi12 cuboctahedra, corners with ten NbNi12 cuboctahedra, edges with twenty-four NiTi2Nb2Ni8 cuboctahedra, faces with six TiNi12 cuboctahedra, and faces with twelve NiTi3NbNi8 cuboctahedra. There are a spread of Nb–Ni bond distances ranging from 2.56–2.61 Å. In the second Nb site, Nb is bonded to twelve Ni atoms to form NbNi12 cuboctahedra that share corners with four equivalent TiNi12 cuboctahedra, corners with eight NbNi12 cuboctahedra, edges with twenty-four NiTi2Nb2Ni8 cuboctahedra, faces with six TiNi12 cuboctahedra, and faces with twelve NiTi3NbNi8 cuboctahedra. There are a spread of Nb–Ni bond distances ranging from 2.55–2.60 Å. In the third Nb site, Nb is bonded to twelve Ni atoms to form NbNi12 cuboctahedra that share corners with six TiNi12 cuboctahedra, corners with six NbNi12 cuboctahedra, edges with twenty-four NiTi3NbNi8 cuboctahedra, faces with six TiNi12 cuboctahedra, and faces with twelve NiTi3NbNi8 cuboctahedra. There are a spread of Nb–Ni bond distances ranging from 2.55–2.61 Å. In the fourth Nb site, Nb is bonded to twelve Ni atoms to form NbNi12 cuboctahedra that share corners with four TiNi12 cuboctahedra, corners with eight NbNi12 cuboctahedra, edges with twenty-four NiTi3NbNi8 cuboctahedra, faces with six TiNi12 cuboctahedra, and faces with twelve NiTi2Nb2Ni8 cuboctahedra. There are a spread of Nb–Ni bond distances ranging from 2.56–2.60 Å. There are twenty-seven inequivalent Ni sites. In the first Ni site, Ni is bonded to two equivalent Ti, two Nb, and eight Ni atoms to form distorted NiTi2Nb2Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with four TiNi12 cuboctahedra, edges with four NbNi12 cuboctahedra, edges with sixteen NiTi3NbNi8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two NbNi12 cuboctahedra, and faces with fourteen NiTi2Nb2Ni8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.50–2.62 Å. In the second Ni site, Ni is bonded to two equivalent Ti, two Nb, and eight Ni atoms to form distorted NiTi2Nb2Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with two NbNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi3NbNi8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two NbNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.49–2.64 Å. In the third Ni site, Ni is bonded to two equivalent Ti, two Nb, and eight Ni atoms to form distorted NiTi2Nb2Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with two NbNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi3NbNi8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two NbNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.50–2.62 Å. In the fourth Ni site, Ni is bonded to two equivalent Ti, two Nb, and eight Ni atoms to form distorted NiTi2Nb2Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with four TiNi12 cuboctahedra, edges with four NbNi12 cuboctahedra, edges with sixteen NiTi3NbNi8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two NbNi12 cuboctahedra, and faces with fourteen NiTi2Nb2Ni8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.52–2.61 Å. In the fifth Ni site, Ni is bonded to two equivalent Ti, two Nb, and eight Ni atoms to form distorted NiTi2Nb2Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with two NbNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi3NbNi8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two NbNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.52–2.60 Å. In the sixth Ni site, Ni is bonded to two equivalent Ti, two Nb, and eight Ni atoms to form distorted NiTi2Nb2Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with two NbNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi3NbNi8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two NbNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.51–2.62 Å. In the seventh Ni site, Ni is bonded to two equivalent Ti, two equivalent Nb, and eight Ni atoms to form distorted NiTi2Nb2Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with four equivalent TiNi12 cuboctahedra, edges with four NbNi12 cuboctahedra, edges with sixteen NiTi2Nb2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent NbNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. All Ni–Ni bond lengths are 2.57 Å. In the eighth Ni site, Ni is bonded to two equivalent Ti, two equivalent Nb, and eight Ni atoms to form distorted NiTi2Nb2Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with two NbNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi2Nb2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent NbNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. All Ni–Ni bond lengths are 2.58 Å. In the ninth Ni site, Ni is bonded to two equivalent Ti, two equivalent Nb, and eight Ni atoms to form distorted NiTi2Nb2Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with two NbNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi3NbNi8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent NbNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. There are two shorter (2.58 Å) and two longer (2.59 Å) Ni–Ni bond lengths. In the tenth Ni site, Ni is bonded to three Ti, one Nb, and eight Ni atoms to form distorted NiTi3NbNi8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with three NbNi12 cuboctahedra, edges with five TiNi12 cuboctahedra, edges with sixteen NiTi3NbNi8 cuboctahedra, a faceface with one NbNi12 cuboctahedra, faces with three TiNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.49–2.64 Å. In the eleventh Ni site, Ni is bonded to three Ti, one Nb, and eight Ni atoms to form distorted NiTi3NbNi8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with three NbNi12 cuboctahedra, edges with five TiNi12 cuboctahedra, edges with sixteen NiTi2Nb2Ni8 cuboctahedra, a faceface with one NbNi12 cuboctahedra, faces with three TiNi12 cuboctahedra, and faces with fourteen NiTi2Nb2Ni8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.50–2.63 Å. In the twelfth Ni site, Ni is bonded to four Ti and eight Ni atoms to form distorted NiTi4Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with two equivalent NbNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi3NbNi8 cuboctahedra, faces with four TiNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.50–2.63 Å. In the thirteenth Ni site, Ni is bonded to three Ti, one Nb, and eight Ni atoms to form distorted NiTi3NbNi8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with three NbNi12 cuboctahedra, edges with five TiNi12 cuboctahedra, edges with sixteen NiTi3NbNi8 cuboctahedra, a faceface with one NbNi12 cuboctahedra, faces with three TiNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.52–2.61 Å. In the fourteenth Ni site, Ni is bonded to three Ti, one Nb, and eight Ni atoms to form distorted NiTi3NbNi8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with three NbNi12 cuboctahedra, edges with five TiNi12 cuboctahedra, edges with sixteen NiTi2Nb2Ni8 cuboctahedra, a faceface with one NbNi12 cuboctahedra, faces with three TiNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.50–2.63 Å. In the fifteenth Ni site, Ni is bonded to four Ti and eight Ni atoms to form distorted NiTi4Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with two equivalent NbNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi3NbNi8 cuboctahedra, faces with four TiNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.51–2.61 Å. In the sixteenth Ni site, Ni is bonded to two equivalent Ti, two equivalent Nb, and eight Ni atoms to form distorted NiTi2Nb2Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with two equivalent NbNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi2Nb2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent NbNi12 cuboctahedra, and faces with fourteen NiTi3NbNi8 cuboctahedra. All Ni–Ni bond lengths are 2.56 Å. In the seventeenth Ni site, Ni is bonded to four Ti and eight Ni atoms to form distorted NiTi4Ni8 cuboctahedra that share corners with twelve NiTi2Nb2Ni8 cuboctahedra, edges with three NbNi12 cuboctahedra, edges with five TiNi12 cuboctahedra, edges with sixteen NiTi3NbNi8 cuboctahedra, faces with four TiNi12 cuboctahedra, and fac

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ho5Ti5O17 by Materials Project

Ho5Ti5O17 crystallizes in the orthorhombic Pmn2_1 space group. The structure is three-dimensional. there are five inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.24–2.88 Å. In the second Ho3+ site, Ho3+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.29–2.73 Å. In the third Ho3+ site, Ho3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.28–2.51 Å. In the fourth Ho3+ site, Ho3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.21–2.84 Å. In the fifth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.32–2.54 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 14–38°. There are a spread of Ti–O bond distances ranging from 1.80–2.26 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 16–40°. There are a spread of Ti–O bond distances ranging from 1.87–2.09 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 11–40°. There are a spread of Ti–O bond distances ranging from 1.88–2.17 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 1.91–2.09 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 14–38°. There are a spread of Ti–O bond distances ranging from 1.88–2.19 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Ho3+ and two equivalent Ti+3.80+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Ho3+ and two equivalent Ti+3.80+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two equivalent Ti+3.80+ atoms. In the fourth O2- site, O2- is bonded to three Ho3+ and one Ti+3.80+ atom to form corner-sharing OHo3Ti tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Ho3+ and one Ti+3.80+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Ho3+ and two equivalent Ti+3.80+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ho3+ and two Ti+3.80+ atoms. In the eighth O2- site, O2- is bonded to two equivalent Ho3+ and two Ti+3.80+ atoms to form distorted corner-sharing OHo2Ti2 tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ho3+ and two Ti+3.80+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ho3+ and two Ti+3.80+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ho3+ and two Ti+3.80+ atoms. In the twelfth O2- site, O2- is bonded to two equivalent Ho3+ and two Ti+3.80+ atoms to form distorted corner-sharing OHo2Ti2 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ho3+ and one Ti+3.80+ atom. In the fourteenth O2- site, O2- is bonded to three Ho3+ and one Ti+3.80+ atom to form corner-sharing OHo3Ti tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ho3+ and two Ti+3.80+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ho3+ and two Ti+3.80+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ho3+ and two equivalent Ti+3.80+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on K8Ti4C16O45 by Materials Project

K8Ti4C16O45 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent K sites. In the first K site, K is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.71–3.41 Å. In the second K site, K is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of K–O bond distances ranging from 2.74–3.39 Å. In the third K site, K is bonded in a distorted hexagonal bipyramidal geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.63–3.25 Å. In the fourth K site, K is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.73–3.01 Å. In the fifth K site, K is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of K–O bond distances ranging from 2.73–2.87 Å. In the sixth K site, K is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of K–O bond distances ranging from 2.81–3.16 Å. In the seventh K site, K is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of K–O bond distances ranging from 2.79–3.22 Å. In the eighth K site, K is bonded in a 5-coordinate geometry to five O atoms. There are a spread of K–O bond distances ranging from 2.76–2.92 Å. There are four inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–34°. There are a spread of Ti–O bond distances ranging from 1.82–2.17 Å. In the second Ti site, Ti is bonded to six O atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–34°. There are a spread of Ti–O bond distances ranging from 1.81–2.19 Å. In the third Ti site, Ti is bonded to six O atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–34°. There are a spread of Ti–O bond distances ranging from 1.80–2.21 Å. In the fourth Ti site, Ti is bonded to six O atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–34°. There are a spread of Ti–O bond distances ranging from 1.81–2.21 Å. There are sixteen inequivalent C sites. In the first C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.25 Å) and one longer (1.28 Å) C–O bond length. In the second C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.25 Å) and one longer (1.28 Å) C–O bond length. In the third C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.24 Å) and one longer (1.29 Å) C–O bond length. In the fourth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.24 Å) and one longer (1.29 Å) C–O bond length. In the fifth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.25 Å) and one longer (1.28 Å) C–O bond length. In the sixth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.24 Å) and one longer (1.28 Å) C–O bond length. In the seventh C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.23 Å) and one longer (1.31 Å) C–O bond length. In the eighth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.23 Å) and one longer (1.31 Å) C–O bond length. In the ninth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.24 Å) and one longer (1.29 Å) C–O bond length. In the tenth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.24 Å) and one longer (1.29 Å) C–O bond length. In the eleventh C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.24 Å) and one longer (1.30 Å) C–O bond length. In the twelfth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.24 Å) and one longer (1.29 Å) C–O bond length. In the thirteenth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.24 Å) and one longer (1.30 Å) C–O bond length. In the fourteenth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.23 Å) and one longer (1.31 Å) C–O bond length. In the fifteenth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.23 Å) and one longer (1.30 Å) C–O bond length. In the sixteenth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.24 Å) and one longer (1.29 Å) C–O bond length. There are forty-five inequivalent O sites. In the first O site, O is bonded in a 1-coordinate geometry to two K and one C atom. In the second O site, O is bonded in a distorted single-bond geometry to two K and one C atom. In the third O site, O is bonded in a bent 120 degrees geometry to one Ti and one C atom. In the fourth O site, O is bonded in a bent 120 degrees geometry to one Ti and one C atom. In the fifth O site, O is bonded in a distorted single-bond geometry to three K and one C atom. In the sixth O site, O is bonded in a distorted single-bond geometry to three K and one C atom. In the seventh O site, O is bonded in a bent 120 degrees geometry to one Ti and one C atom. In the eighth O site, O is bonded in a bent 120 degrees geometry to one Ti and one C atom. In the ninth O site, O is bonded in a distorted single-bond geometry to two K and one C atom. In the tenth O site, O is bonded in a distorted single-bond geometry to two K and one C atom. In the eleventh O site, O is bonded in a bent 120 degrees geometry to one Ti and one C atom. In the twelfth O site, O is bonded in a bent 120 degrees geometry to one Ti and one C atom. In the thirteenth O site, O is bonded in a distorted single-bond geometry to two K and one C atom. In the fourteenth O site, O is bonded in a distorted single-bond geometry to two K and one C atom. In the fifteenth O site, O is bonded in a distorted T-shaped geometry to two K and one O atom. The O–O bond length is 1.23 Å. In the sixteenth O site, O is bonded in a water-like geometry to two K atoms. In the seventeenth O site, O is bonded in a bent 120 degrees geometry to one Ti and one C atom. In the eighteenth O site, O is bonded in a bent 120 degrees geometry to one Ti and one C atom. In the nineteenth O site, O is bonded in a distorted single-bond geometry to three K and one C atom. In the twentieth O site, O is bonded in a distorted single-bond geometry to two K and one C atom. In the twenty-first O site, O is bonded in a distorted single-bond geometry to three K and one C atom. In the twenty-second O site, O is bonded in a distorted single-bond geometry to three K and one C atom. In the twenty-third O site, O is bonded in a bent 120 degrees geometry to one Ti and one C atom. In the twenty-fourth O site, O is bonded in a bent 120 degrees geometry to one Ti and one C atom. In the twenty-fifth O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the twenty-seventh O site, O is bonded in a distorted trigonal planar geometry to one K, one Ti, and one C atom. In the twenty-eighth O site, O is bonded in a 3-coordinate geometry to one K, one Ti, and one C atom. In the twenty-ninth O site, O is bonded in an L-shaped geometry to two K atoms. In the thirtieth O site, O is bonded in a bent 120 degrees geometry to two K atoms. In the thirty-first O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the thirty-second O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the thirty-third O site, O is bonded in a distorted single-bond geometry to three K and one C atom. In the thirty-fourth O site, O is bonded in a distorted single-bond geometry to three K and one C atom. In the thirty-fifth O site, O is bonded in a distorted L-shaped geometry to two K atoms. In the thirty-sixth O site, O is bonded in a water-like geometry to two K atoms. In the thirty-seventh O site, O is bonded in a distorted bent 120 degrees geometry to one Ti and one C atom. In the thirty-eighth O site, O is bonded in a distorted trigonal planar geometry to one K, one Ti, and one C atom. In the thirty-ninth O site, O is bonded in a distorted single-bond geometry to two K and one C atom. In the fortieth O site, O is bonded in a distorted trigonal planar geometry to two K and one C atom. In the forty-first O site, O is bonded in a 2-coordinate geometry to one K, one Ti, and one C atom. In the forty-second O site, O is bonded in a 2-coordinate geometry to one K, one Ti, and one C atom. In the forty-third O site, O is bonded in a 1-coordinate geometry to one K and one O atom. In the forty-fourth O site, O is bonded in a single-bond geometry to one K and one O atom. The O–O bond length is 1.23 Å. In the forty-fifth O site, O is bonded in a single-bond geometry to one K and one O atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Pr10Ti9GaO34 by Materials Project

Pr10Ti9GaO34 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are five inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pr–O bond distances ranging from 2.35–2.79 Å. In the second Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.41–2.58 Å. In the third Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.43–2.71 Å. In the fourth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.38–2.77 Å. In the fifth Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.36–2.50 Å. There are five inequivalent Ti+3.89+ sites. In the first Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent GaO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–43°. There are a spread of Ti–O bond distances ranging from 1.83–2.26 Å. In the second Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–40°. There are a spread of Ti–O bond distances ranging from 1.85–2.29 Å. In the third Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–43°. There are a spread of Ti–O bond distances ranging from 1.77–2.37 Å. In the fourth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–40°. There are a spread of Ti–O bond distances ranging from 1.84–2.24 Å. In the fifth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent GaO6 octahedra and corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–26°. There are a spread of Ti–O bond distances ranging from 1.97–2.01 Å. Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–26°. There are a spread of Ga–O bond distances ranging from 1.97–2.05 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Pr3+ and two Ti+3.89+ atoms. In the second O2- site, O2- is bonded to three Pr3+ and one Ti+3.89+ atom to form distorted OPr3Ti tetrahedra that share corners with five OPr2Ti2 tetrahedra and edges with four OPr3Ti tetrahedra. In the third O2- site, O2- is bonded to three Pr3+ and one Ti+3.89+ atom to form distorted OPr3Ti tetrahedra that share corners with seven OPr2Ti2 tetrahedra and edges with three equivalent OPr3Ti tetrahedra. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Pr3+ and two Ti+3.89+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Pr3+, one Ti+3.89+, and one Ga3+ atom. In the sixth O2- site, O2- is bonded to three Pr3+ and one Ti+3.89+ atom to form distorted OPr3Ti tetrahedra that share corners with nine OPr2Ti2 tetrahedra and an edgeedge with one OPr3Ti tetrahedra. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Pr3+, one Ti+3.89+, and one Ga3+ atom. In the eighth O2- site, O2- is bonded to two Pr3+ and two Ti+3.89+ atoms to form a mixture of distorted corner and edge-sharing OPr2Ti2 tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Pr3+, one Ti+3.89+, and one Ga3+ atom. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Pr3+ and two Ti+3.89+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Pr3+ and two Ti+3.89+ atoms. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to three Pr3+ and two Ti+3.89+ atoms. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Pr3+ and two Ti+3.89+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Pr3+ and two Ti+3.89+ atoms. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Pr3+ and one Ti+3.89+ atom. In the sixteenth O2- site, O2- is bonded to two Pr3+ and two Ti+3.89+ atoms to form a mixture of distorted corner and edge-sharing OPr2Ti2 tetrahedra. In the seventeenth O2- site, O2- is bonded to two Pr3+ and two Ti+3.89+ atoms to form distorted edge-sharing OPr2Ti2 tetrahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti2N2O by Materials Project

Ti2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form TiN3O3 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Ti–N bond distances ranging from 1.96–1.99 Å. There are a spread of Ti–O bond distances ranging from 2.07–2.12 Å. In the second Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 pentagonal pyramids that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Ti–N bond distances ranging from 1.94–2.03 Å. There are a spread of Ti–O bond distances ranging from 2.05–2.17 Å. In the third Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN5O octahedra, edges with four TiN3O3 octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Ti–N bond distances ranging from 1.98–2.07 Å. There are one shorter (2.13 Å) and one longer (2.14 Å) Ti–O bond lengths. In the fourth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with four TiN3O3 octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN5O octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–N bond distances ranging from 2.02–2.05 Å. There are a spread of Ti–O bond distances ranging from 1.96–2.08 Å. In the fifth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Ti–N bond distances ranging from 1.92–2.04 Å. There are a spread of Ti–O bond distances ranging from 2.03–2.18 Å. In the sixth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with six TiN4O2 octahedra, edges with four TiN3O3 octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Ti–N bond distances ranging from 1.99–2.09 Å. The Ti–O bond length is 2.16 Å. In the seventh Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with four TiN3O3 octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are two shorter (1.97 Å) and one longer (2.10 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the eighth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Ti–N bond distances ranging from 2.03–2.05 Å. There are one shorter (2.04 Å) and one longer (2.05 Å) Ti–O bond lengths. In the ninth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Ti–N bond distances ranging from 1.95–2.07 Å. There are one shorter (2.08 Å) and one longer (2.16 Å) Ti–O bond lengths. In the tenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Ti–N bond distances ranging from 2.01–2.08 Å. There are one shorter (2.02 Å) and one longer (2.05 Å) Ti–O bond lengths. In the eleventh Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Ti–N bond distances ranging from 2.00–2.06 Å. There are one shorter (2.09 Å) and one longer (2.14 Å) Ti–O bond lengths. In the twelfth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form TiN5O octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Ti–N bond distances ranging from 1.96–2.08 Å. The Ti–O bond length is 2.17 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Ti–N bond distances ranging from 2.00–2.09 Å. The Ti–O bond length is 2.10 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing TiN5O octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 2.00–2.08 Å. The Ti–O bond length is 2.10 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 1.98–2.07 Å. There are one shorter (2.09 Å) and one longer (2.13 Å) Ti–O bond lengths. In the sixteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing TiN5O octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Ti–N bond distances ranging from 2.01–2.11 Å. The Ti–O bond length is 2.10 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the second N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the third N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, and edges with three NTi4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti4+ atoms. In the second O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the third O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti2N2O by Materials Project

Ti2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 pentagonal pyramids that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Ti–N bond distances ranging from 1.92–2.06 Å. There are a spread of Ti–O bond distances ranging from 2.01–2.18 Å. In the second Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–N bond distances ranging from 2.00–2.09 Å. There are one shorter (1.99 Å) and one longer (2.08 Å) Ti–O bond lengths. In the third Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Ti–N bond distances ranging from 1.97–2.09 Å. There are one shorter (2.07 Å) and one longer (2.13 Å) Ti–O bond lengths. In the fourth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Ti–N bond distances ranging from 1.96–2.13 Å. There are a spread of Ti–O bond distances ranging from 2.00–2.13 Å. In the fifth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–N bond distances ranging from 1.96–2.07 Å. There are a spread of Ti–O bond distances ranging from 1.99–2.11 Å. In the sixth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Ti–N bond distances ranging from 1.99–2.08 Å. There are one shorter (2.08 Å) and one longer (2.09 Å) Ti–O bond lengths. In the seventh Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with six TiN3O3 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 1.95–2.06 Å. There are one shorter (2.13 Å) and one longer (2.15 Å) Ti–O bond lengths. In the eighth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Ti–N bond distances ranging from 1.96–2.12 Å. There are one shorter (2.11 Å) and one longer (2.15 Å) Ti–O bond lengths. In the ninth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Ti–N bond distances ranging from 1.94–2.08 Å. There are one shorter (2.10 Å) and one longer (2.16 Å) Ti–O bond lengths. In the tenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Ti–N bond distances ranging from 2.01–2.09 Å. There are one shorter (2.02 Å) and one longer (2.06 Å) Ti–O bond lengths. In the eleventh Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–N bond distances ranging from 1.99–2.08 Å. There are one shorter (2.07 Å) and one longer (2.11 Å) Ti–O bond lengths. In the twelfth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with six TiN4O2 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 2.03–2.09 Å. The Ti–O bond length is 2.09 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–N bond distances ranging from 2.01–2.08 Å. There are one shorter (1.98 Å) and one longer (2.10 Å) Ti–O bond lengths. In the fourteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–N bond distances ranging from 2.00–2.07 Å. The Ti–O bond length is 2.14 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–N bond distances ranging from 1.97–2.09 Å. There are one shorter (2.11 Å) and one longer (2.16 Å) Ti–O bond lengths. In the sixteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing TiN5O octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Ti–N bond distances ranging from 1.97–2.14 Å. The Ti–O bond length is 2.13 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 tetrahedra, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the second N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the third N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 tetrahedra, and edges with three NTi4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 tetrahedra, and edges with two NTi4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the ninth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the tenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the second O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 tetrahedra that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one OTi4 trigon

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti2N2O by Materials Project

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

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti2N2O by Materials Project

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

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti2N2O by Materials Project

Ti2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–N bond distances ranging from 2.01–2.08 Å. There are one shorter (2.02 Å) and one longer (2.05 Å) Ti–O bond lengths. In the second Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Ti–N bond distances ranging from 1.97–2.06 Å. There are one shorter (2.09 Å) and one longer (2.13 Å) Ti–O bond lengths. In the third Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 1.96–2.08 Å. There are one shorter (2.05 Å) and one longer (2.14 Å) Ti–O bond lengths. In the fourth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Ti–N bond distances ranging from 1.96–2.09 Å. There are a spread of Ti–O bond distances ranging from 2.01–2.13 Å. In the fifth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Ti–N bond distances ranging from 1.94–2.06 Å. There are a spread of Ti–O bond distances ranging from 2.02–2.15 Å. In the sixth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Ti–N bond distances ranging from 1.99–2.11 Å. There are one shorter (2.08 Å) and one longer (2.10 Å) Ti–O bond lengths. In the seventh Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Ti–N bond distances ranging from 1.95–2.13 Å. There are one shorter (2.11 Å) and one longer (2.15 Å) Ti–O bond lengths. In the eighth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Ti–N bond distances ranging from 1.93–2.07 Å. There are one shorter (2.14 Å) and one longer (2.17 Å) Ti–O bond lengths. In the ninth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 2.02–2.12 Å. The Ti–O bond length is 2.09 Å. In the tenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–N bond distances ranging from 1.95–2.08 Å. There are one shorter (2.10 Å) and one longer (2.15 Å) Ti–O bond lengths. In the eleventh Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Ti–N bond distances ranging from 1.98–2.07 Å. There are two shorter (2.03 Å) and one longer (2.09 Å) Ti–O bond lengths. In the twelfth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with six TiN4O2 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Ti–N bond distances ranging from 1.98–2.11 Å. The Ti–O bond length is 2.14 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Ti–N bond distances ranging from 1.97–2.15 Å. There are one shorter (2.10 Å) and one longer (2.11 Å) Ti–O bond lengths. In the fourteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Ti–N bond distances ranging from 2.03–2.09 Å. The Ti–O bond length is 2.10 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Ti–N bond distances ranging from 1.99–2.09 Å. There are one shorter (2.09 Å) and one longer (2.14 Å) Ti–O bond lengths. In the sixteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Ti–N bond distances ranging from 2.02–2.09 Å. There are one shorter (2.03 Å) and one longer (2.05 Å) Ti–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the second N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with three OTi4 trigonal pyramids, corners with five NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the third N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with three OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with three OTi4 trigonal pyramids, corners with five NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, an edgeedge with one NTi4 tetrahedra, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the sixth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 tetrahedra, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with three OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with three OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the tenth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the eleventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 tetrahedra that share corners with four OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the fifteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with three NTi4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 tetrahedra, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the second O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with three NTi4 trigonal pyramids. In the third O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with three OTi4 trigonal pyramids, cor

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti2N2O by Materials Project

Ti2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Ti–N bond distances ranging from 1.94–2.06 Å. There are one shorter (2.15 Å) and one longer (2.16 Å) Ti–O bond lengths. In the second Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Ti–N bond distances ranging from 1.93–2.09 Å. There are a spread of Ti–O bond distances ranging from 2.01–2.16 Å. In the third Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Ti–N bond distances ranging from 2.03–2.08 Å. There are one shorter (2.01 Å) and one longer (2.06 Å) Ti–O bond lengths. In the fourth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Ti–N bond distances ranging from 2.02–2.09 Å. There are one shorter (2.02 Å) and one longer (2.07 Å) Ti–O bond lengths. In the fifth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Ti–N bond distances ranging from 1.97–2.08 Å. There are one shorter (2.10 Å) and one longer (2.18 Å) Ti–O bond lengths. In the sixth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Ti–N bond distances ranging from 1.92–2.05 Å. There are a spread of Ti–O bond distances ranging from 2.01–2.20 Å. In the seventh Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Ti–N bond distances ranging from 1.96–2.14 Å. There are one shorter (2.12 Å) and one longer (2.13 Å) Ti–O bond lengths. In the eighth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form TiN3O3 octahedra that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There is two shorter (1.95 Å) and one longer (2.02 Å) Ti–N bond length. There are one shorter (2.05 Å) and two longer (2.12 Å) Ti–O bond lengths. In the ninth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing TiN5O octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Ti–N bond distances ranging from 1.99–2.08 Å. The Ti–O bond length is 2.11 Å. In the tenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form TiN5O octahedra that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Ti–N bond distances ranging from 1.96–2.12 Å. The Ti–O bond length is 2.18 Å. In the eleventh Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Ti–N bond distances ranging from 1.97–2.11 Å. There are a spread of Ti–O bond distances ranging from 2.02–2.12 Å. In the twelfth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Ti–N bond distances ranging from 1.97–2.07 Å. There are one shorter (2.08 Å) and one longer (2.12 Å) Ti–O bond lengths. In the thirteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Ti–N bond distances ranging from 1.98–2.14 Å. The Ti–O bond length is 2.13 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There are a spread of Ti–N bond distances ranging from 2.00–2.09 Å. Both Ti–O bond lengths are 2.03 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are two shorter (2.04 Å) and two longer (2.05 Å) Ti–N bond lengths. There are one shorter (2.04 Å) and one longer (2.05 Å) Ti–O bond lengths. In the sixteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing TiN5O octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Ti–N bond distances ranging from 1.96–2.09 Å. The Ti–O bond length is 2.21 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the second N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with five NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the third N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with nine NTi4 trigonal pyramids, and edges with three OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the fifth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with five NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with three NTi4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with five NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the twelfth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with two NTi4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with nine NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with two NTi4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with three NTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the third O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with three NTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the seventh O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti8In5 by Materials Project

Ti8In5 crystallizes in the cubic P-43m space group. The structure is three-dimensional. there are five inequivalent Ti sites. In the first Ti site, Ti is bonded in a 8-coordinate geometry to three Ti and six In atoms. There are a spread of Ti–Ti bond distances ranging from 2.69–3.11 Å. There are a spread of Ti–In bond distances ranging from 2.90–3.02 Å. In the second Ti site, Ti is bonded in a 9-coordinate geometry to one Ti and eight In atoms. The Ti–Ti bond length is 2.80 Å. There are a spread of Ti–In bond distances ranging from 2.92–3.16 Å. In the third Ti site, Ti is bonded in a 2-coordinate geometry to nine Ti and four equivalent In atoms. There are a spread of Ti–Ti bond distances ranging from 2.86–3.06 Å. All Ti–In bond lengths are 3.15 Å. In the fourth Ti site, Ti is bonded in a distorted q6 geometry to nine Ti and three equivalent In atoms. There are three shorter (2.74 Å) and three longer (2.88 Å) Ti–Ti bond lengths. All Ti–In bond lengths are 3.10 Å. In the fifth Ti site, Ti is bonded in a 3-coordinate geometry to nine Ti and four In atoms. There are three shorter (2.78 Å) and one longer (3.11 Å) Ti–In bond lengths. There are three inequivalent In sites. In the first In site, In is bonded in a 11-coordinate geometry to ten Ti and one In atom. The In–In bond length is 3.18 Å. In the second In site, In is bonded in a 12-coordinate geometry to six Ti and six In atoms. All In–In bond lengths are 3.10 Å. In the third In site, In is bonded in a 10-coordinate geometry to seven Ti and three equivalent In atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba3Ti20O40 by Materials Project

Ba3Ti20O40 is zeta iron carbide-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 4-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.30 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.97–3.26 Å. There are six inequivalent Ti+3.70+ sites. In the first Ti+3.70+ site, Ti+3.70+ 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 46–52°. There are a spread of Ti–O bond distances ranging from 1.96–2.05 Å. In the second Ti+3.70+ site, Ti+3.70+ 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 50–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the third Ti+3.70+ site, Ti+3.70+ 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 46–50°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the fourth Ti+3.70+ site, Ti+3.70+ 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 48–54°. There are a spread of Ti–O bond distances ranging from 1.96–2.03 Å. In the fifth Ti+3.70+ site, Ti+3.70+ 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 48–54°. There are a spread of Ti–O bond distances ranging from 1.97–2.06 Å. In the sixth Ti+3.70+ site, Ti+3.70+ 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 1.91–2.07 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.70+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti+3.70+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.70+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ba2+ and three Ti+3.70+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.70+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ba2+ and three Ti+3.70+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.70+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.70+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti+3.70+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.70+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.70+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.70+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LiTi6O12 by Materials Project

LiTi6O12 crystallizes in the monoclinic P2_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 1.86–2.13 Å. 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 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 1.94–2.08 Å. In the second Ti+3.83+ site, Ti+3.83+ 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 1.93–2.05 Å. In the third Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. In the fourth Ti+3.83+ site, Ti+3.83+ 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 46–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. In the fifth Ti+3.83+ site, Ti+3.83+ 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 1.92–2.06 Å. In the sixth Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–52°. There are a spread of Ti–O bond distances ranging from 1.96–2.03 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.83+ atoms. In the second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+ and three Ti+3.83+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.83+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.83+ atoms. In the fifth O2- site, O2- is bonded in a see-saw-like geometry to one Li1+ and three Ti+3.83+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.83+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.83+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.83+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.83+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.83+ atoms. In the eleventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti+3.83+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.83+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na3(TiS2)10 by Materials Project

Na3(TiS2)10 crystallizes in the monoclinic Cm space group. The structure is two-dimensional and consists of one Na3(TiS2)10 sheet oriented in the (0, 0, 1) direction. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Na–S bond distances ranging from 2.86–2.94 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Na–S bond distances ranging from 2.84–2.97 Å. There are six inequivalent Ti+3.70+ sites. In the first Ti+3.70+ site, Ti+3.70+ is bonded to six S2- atoms to form edge-sharing TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.41–2.48 Å. In the second Ti+3.70+ site, Ti+3.70+ is bonded to six S2- atoms to form edge-sharing TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.41–2.47 Å. In the third Ti+3.70+ site, Ti+3.70+ is bonded to six S2- atoms to form edge-sharing TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.42–2.47 Å. In the fourth Ti+3.70+ site, Ti+3.70+ is bonded to six S2- atoms to form edge-sharing TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.41–2.48 Å. In the fifth Ti+3.70+ site, Ti+3.70+ is bonded to six S2- atoms to form edge-sharing TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.41–2.48 Å. In the sixth Ti+3.70+ site, Ti+3.70+ is bonded to six S2- atoms to form edge-sharing TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.41–2.48 Å. There are twelve inequivalent S2- sites. In the first S2- site, S2- is bonded to two equivalent Na1+ and three Ti+3.70+ atoms to form a mixture of edge and corner-sharing SNa2Ti3 square pyramids. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.70+ atoms. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.70+ atoms. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Na1+ and three Ti+3.70+ atoms. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.70+ atoms. In the sixth S2- site, S2- is bonded to two Na1+ and three Ti+3.70+ atoms to form a mixture of edge and corner-sharing SNa2Ti3 trigonal bipyramids. In the seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.70+ atoms. In the eighth S2- site, S2- is bonded to two equivalent Na1+ and three Ti+3.70+ atoms to form a mixture of distorted edge and corner-sharing SNa2Ti3 trigonal bipyramids. In the ninth S2- site, S2- is bonded to two Na1+ and three Ti+3.70+ atoms to form a mixture of edge and corner-sharing SNa2Ti3 trigonal bipyramids. In the tenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.70+ atoms. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Na1+ and three Ti+3.70+ atoms. In the twelfth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.70+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LaTi6O12 by Materials Project

LaTi6O12 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. La3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.33–3.08 Å. There are six inequivalent Ti+3.50+ sites. In the first Ti+3.50+ site, Ti+3.50+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with three TiO6 octahedra, edges with two TiO6 octahedra, and an edgeedge with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 26–61°. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the second Ti+3.50+ site, Ti+3.50+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.87–2.37 Å. In the third Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, edges with three TiO6 octahedra, and edges with two TiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 7–31°. There are a spread of Ti–O bond distances ranging from 1.87–2.24 Å. In the fourth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two equivalent TiO5 trigonal bipyramids, edges with four TiO6 octahedra, and an edgeedge with one TiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.84–2.18 Å. In the fifth Ti+3.50+ site, Ti+3.50+ is bonded to five O2- atoms to form edge-sharing TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.83–2.12 Å. In the sixth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, an edgeedge with one TiO6 octahedra, and edges with two TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 31°. There are a spread of Ti–O bond distances ranging from 1.74–2.23 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a water-like geometry to two Ti+3.50+ atoms. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent La3+ and three Ti+3.50+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.50+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one La3+ and three Ti+3.50+ atoms. In the sixth O2- site, O2- is bonded in a T-shaped geometry to one La3+ and three Ti+3.50+ atoms. In the seventh O2- site, O2- is bonded to four Ti+3.50+ atoms to form a mixture of edge and corner-sharing OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent La3+ and two Ti+3.50+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.50+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted water-like geometry to one La3+ and two Ti+3.50+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one La3+ and two Ti+3.50+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent La3+ and two Ti+3.50+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on LiTi2O4 by Materials Project

LiTi2O4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with three TiO6 octahedra, corners with four LiO5 trigonal bipyramids, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–71°. There are a spread of Li–O bond distances ranging from 1.99–2.06 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with three TiO6 octahedra, corners with four LiO5 trigonal bipyramids, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–71°. There are a spread of Li–O bond distances ranging from 1.99–2.05 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with three TiO6 octahedra, corners with four LiO5 trigonal bipyramids, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–74°. There are a spread of Li–O bond distances ranging from 1.97–2.04 Å. There are six inequivalent Ti+3.50+ sites. In the first Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with four TiO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–24°. There are a spread of Ti–O bond distances ranging from 1.94–2.12 Å. In the second Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, edges with four TiO6 octahedra, and edges with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–24°. There are a spread of Ti–O bond distances ranging from 1.95–2.14 Å. In the third Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with four TiO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–24°. There are a spread of Ti–O bond distances ranging from 1.95–2.14 Å. In the fourth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, edges with four TiO6 octahedra, and edges with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–24°. There are a spread of Ti–O bond distances ranging from 1.95–2.11 Å. In the fifth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with four TiO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–23°. There are a spread of Ti–O bond distances ranging from 1.93–2.15 Å. In the sixth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, edges with four TiO6 octahedra, and edges with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–24°. There are a spread of Ti–O bond distances ranging from 1.96–2.21 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the third O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form a mixture of corner and edge-sharing OLi2Ti3 trigonal bipyramids. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the fifth O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form a mixture of corner and edge-sharing OLi2Ti3 trigonal bipyramids. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the seventh O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form a mixture of corner and edge-sharing OLi2Ti3 trigonal bipyramids. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the ninth O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form a mixture of corner and edge-sharing OLi2Ti3 trigonal bipyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the eleventh O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form a mixture of corner and edge-sharing OLi2Ti3 trigonal bipyramids. In the twelfth O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form a mixture of corner and edge-sharing OLi2Ti3 trigonal bipyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti6AgS12 by Materials Project

Ti6AgS12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ti+3.83+ sites. In the first Ti+3.83+ site, Ti+3.83+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent AgS6 octahedra and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ti–S bond distances ranging from 2.41–2.45 Å. In the second Ti+3.83+ site, Ti+3.83+ is bonded to six S2- atoms to form TiS6 octahedra that share edges with six TiS6 octahedra and a faceface with one AgS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.40–2.48 Å. In the third Ti+3.83+ site, Ti+3.83+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent AgS6 octahedra and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of Ti–S bond distances ranging from 2.41–2.45 Å. In the fourth Ti+3.83+ site, Ti+3.83+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent AgS6 octahedra and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ti–S bond distances ranging from 2.41–2.45 Å. In the fifth Ti+3.83+ site, Ti+3.83+ is bonded to six S2- atoms to form TiS6 octahedra that share edges with six TiS6 octahedra and a faceface with one AgS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.40–2.48 Å. In the sixth Ti+3.83+ site, Ti+3.83+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent AgS6 octahedra and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of Ti–S bond distances ranging from 2.41–2.45 Å. Ag1+ is bonded to six S2- atoms to form AgS6 octahedra that share corners with twelve TiS6 octahedra and faces with two TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are one shorter (2.68 Å) and five longer (2.69 Å) Ag–S bond lengths. There are twelve inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.83+ atoms. In the second S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.83+ and one Ag1+ atom. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.83+ and one Ag1+ atom. In the fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.83+ atoms. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.83+ atoms. In the sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.83+ and one Ag1+ atom. In the seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.83+ atoms. In the eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.83+ and one Ag1+ atom. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.83+ atoms. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.83+ and one Ag1+ atom. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.83+ and one Ag1+ atom. In the twelfth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.83+ atoms.

36 MATERIALS SCIENCE↗