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Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.11–2.57 Å. In the second Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.10 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.51 Å. In the fourth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.17 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.36 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.43 Å. There are six inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.13 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.12 Å. In the third Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one TiO6 octahedra. There are four shorter (2.00 Å) and two longer (2.11 Å) Ti–O bond lengths. In the fourth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and edges with three TiO6 octahedra. There are two shorter (2.04 Å) and four longer (2.06 Å) Ti–O bond lengths. In the fifth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and edges with three TiO6 octahedra. There are two shorter (2.05 Å) and four longer (2.06 Å) Ti–O bond lengths. In the sixth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.12 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–54°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–55°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–54°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–54°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.52 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.59 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.63 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.47 Å. In the fifth Li1+ site, Li1+ is bonded in a 1-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.59 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.65 Å. There are six inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.01–2.07 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.11 Å. In the third Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.02–2.11 Å. In the fourth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and edges with three TiO6 octahedra. There are two shorter (2.05 Å) and four longer (2.06 Å) Ti–O bond lengths. In the fifth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and edges with three TiO6 octahedra. There are four shorter (2.04 Å) and two longer (2.06 Å) Ti–O bond lengths. In the sixth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.09 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–55°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–56°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to three Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Li1+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to three Li1+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.73 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.63 Å. Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.11 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–48°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–47°. There is two shorter (1.54 Å) and two longer (1.58 Å) P–O bond length. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.63 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two equivalent TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.22–2.32 Å. Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.10 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–48°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–44°. All P–O bond lengths are 1.56 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Ti3+, and one P5+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the monoclinic P2/c space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.68 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.14–2.54 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two equivalent TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.25–2.28 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two equivalent TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.22–2.24 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.53 Å. There are two inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.10 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.13 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–45°. There is two shorter (1.53 Å) and two longer (1.56 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–45°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–47°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–48°. There is two shorter (1.53 Å) and two longer (1.57 Å) P–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one Ti3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one Ti3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Ti3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 is Esseneite-like structured and crystallizes in the cubic Ia-3d space group. The structure is three-dimensional. Li1+ is bonded in a 8-coordinate geometry to eight equivalent O2- atoms. There are four shorter (2.34 Å) and four longer (2.52 Å) Li–O bond lengths. Ti3+ is bonded to six equivalent O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. All Ti–O bond lengths are 2.04 Å. P5+ is bonded to four equivalent O2- atoms to form PO4 tetrahedra that share corners with four equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 45°. All P–O bond lengths are 1.56 Å. O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Ti3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.55 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.10–2.47 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.58 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.61 Å. There are two inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.09 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.13 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–44°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–45°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–45°. There is two shorter (1.53 Å) and two longer (1.57 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–44°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Ti3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Ti3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Ti3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Ti3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two TiO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 63–71°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.07 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.74 Å. There are two inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 2.01–2.16 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.14 Å. There are three inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 19–47°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with two equivalent LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–45°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Ti3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a tetrahedral geometry to two Li1+, one Ti3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.50 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are one shorter (1.99 Å) and three longer (2.01 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.59 Å. There are two inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.14 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.19 Å. There are three inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–46°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–42°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–45°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a linear geometry to one Ti3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a linear geometry to one Ti3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the ninth O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form a mixture of distorted edge and corner-sharing OLi2TiP tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form a mixture of distorted edge and corner-sharing OLi2TiP trigonal pyramids. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the trigonal R-3 space group. The structure is three-dimensional. Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.27 Å. There are two inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. There are three shorter (1.98 Å) and three longer (2.12 Å) Ti–O bond lengths. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. There are three shorter (2.06 Å) and three longer (2.09 Å) Ti–O bond lengths. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the second O2- site, O2- is bonded to two equivalent Li1+, one Ti3+, and one P5+ atom to form distorted corner-sharing OLi2TiP tetrahedra. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted square co-planar geometry to four equivalent O2- atoms. There are two shorter (2.22 Å) and two longer (2.53 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.14–2.49 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.19–2.46 Å. Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.14 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–56°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. All P–O bond lengths are 1.55 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Ti3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ti3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Ti3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.59 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.52 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 64–68°. There are a spread of Li–O bond distances ranging from 1.96–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 64–65°. There are a spread of Li–O bond distances ranging from 1.95–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of Li–O bond distances ranging from 1.96–2.16 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 64–68°. There are a spread of Li–O bond distances ranging from 1.95–2.21 Å. There are four inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.15 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 2.04–2.13 Å. In the third Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.15 Å. In the fourth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.12 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–51°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–48°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–51°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–47°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–48°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the sixth O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form distorted corner-sharing OLi2TiP tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form distorted corner-sharing OLi2TiP tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form distorted corner-sharing OLi2TiP tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.56 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 63–67°. There are a spread of Li–O bond distances ranging from 1.97–2.18 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 64–67°. There are a spread of Li–O bond distances ranging from 1.98–2.16 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are a spread of Li–O bond distances ranging from 1.97–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 65–68°. There are a spread of Li–O bond distances ranging from 1.97–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.97–2.19 Å. There are four inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.13 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 2.03–2.13 Å. In the third Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 2.03–2.12 Å. In the fourth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.13 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–51°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 23–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–50°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–48°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form distorted corner-sharing OLi2TiP tetrahedra. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the sixth O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form distorted corner-sharing OLi2TiP tetrahedra. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form distorted corner-sharing OLi2TiP tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Ti3+, and one P5+ atom to form distorted corner-sharing OLi2TiP tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six PO4 tetrahedra and edges with two TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.28 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.11 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.13 Å. There are three inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra and edges with two equivalent TiO6 octahedra. There are two shorter (1.98 Å) and four longer (2.15 Å) Ti–O bond lengths. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.13 Å. In the third Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra and edges with two equivalent LiO6 octahedra. There are two shorter (2.03 Å) and four longer (2.08 Å) Ti–O bond lengths. There are three inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with three equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with three equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Ti3+ and one P5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti2(PO4)3 by Materials Project

Li3Ti2(PO4)3 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.33 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and edges with two equivalent TiO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two equivalent TiO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.10 Å. There are two inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent LiO4 trigonal pyramids. There are a spread of Ti–O bond distances ranging from 1.95–2.19 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.11 Å. There are three inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 28–37°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and corners with two equivalent LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 13–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 13–42°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti3+, and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Ti3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a linear geometry to one Ti3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Ti3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a linear geometry to one Ti3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti3+, and one P5+ atom.

36 MATERIALS SCIENCE↗