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Materials Data on Na4Sb2C4SO16 by Materials Project

Na4C4Sb2SO16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of Na–O bond distances ranging from 2.39–2.50 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 83–84°. There are a spread of Na–O bond distances ranging from 2.26–2.64 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–81°. There are a spread of Na–O bond distances ranging from 2.39–2.52 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–82°. There are a spread of Na–O bond distances ranging from 2.38–2.63 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–83°. There are a spread of Na–O bond distances ranging from 2.45–2.52 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–84°. There are a spread of Na–O bond distances ranging from 2.43–2.52 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–83°. There are a spread of Na–O bond distances ranging from 2.39–2.56 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–84°. There are a spread of Na–O bond distances ranging from 2.42–2.53 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–84°. There are a spread of Na–O bond distances ranging from 2.25–2.61 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–80°. There are a spread of Na–O bond distances ranging from 2.37–2.52 Å. In the eleventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–85°. There are a spread of Na–O bond distances ranging from 2.24–2.63 Å. In the twelfth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–81°. There are a spread of Na–O bond distances ranging from 2.37–2.54 Å. In the thirteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Na–O bond distances ranging from 2.41–2.52 Å. In the fourteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–84°. There are a spread of Na–O bond distances ranging from 2.43–2.51 Å. In the fifteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–85°. There are a spread of Na–O bond distances ranging from 2.39–2.55 Å. In the sixteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two SbO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 83–84°. There are a spread of Na–O bond distances ranging from 2.26–2.62 Å. There are sixteen inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the ninth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the tenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the eleventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.32 Å. In the twelfth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the thirteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.32 Å) C–O bond length. In the fourteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the fifteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the sixteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. There are eight inequivalent Sb3+ sites. In the first Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Sb–O bond distances ranging from 2.22–2.45 Å. In the second Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Sb–O bond distances ranging from 2.22–2.44 Å. In the third Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Sb–O bond distances ranging from 2.26–2.43 Å. In the fourth Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share edges with three NaO6 octahedra. There are a spread of Sb–O bond distances ranging from 2.25–2.36 Å. In the fifth Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Sb–O bond distances ranging from 2.23–2.42 Å. In the sixth Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Sb–O bond distances ranging from 2.23–2.43 Å. In the seventh Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share edges with five NaO6 octahedra. There are a spread of Sb–O bond distances ranging from 2.22–2.41 Å. In the eighth Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Sb–O bond distances ranging from 2.24–2.43 Å. There are four inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share edges with two NaO6 octahedra. There are a spread of S–O bond distances ranging from 1.47–1.54 Å. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share edges with six NaO6 octahedra. All S–O bond lengths are 1.50 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share edges with two NaO6 octahedra. All S–O bond lengths are 1.50 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share edges with six NaO6 octahedra. There is one shorter (1.49 Å) and three longer (1.50 Å) S–O bond length. There are sixty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one C4+, and one Sb3+ atom. In the second O2- site, O2- is bonded in an L-shaped geometry to one Na1+ and one S6+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ and one S6+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Sb3+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Sb3+ atom. In the sixth O2- site, O2- is bonded in an L-shaped geometry to one Na1+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a single-bond geometry to one S6+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Sb3+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Sb3+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Sb3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one C4+, and one Sb3+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Sb3+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Sb3+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Sb3+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one C4+, and one Sb3+ atom. In the sixteenth O2- site, O2- is bonded to three Na1+ and one S6+ atom to form distorted edge-sharing ONa3S t

36 MATERIALS SCIENCE↗

Materials Data on Na2NiPCO7 by Materials Project

Na2NiCPO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.95 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.94 Å. In the third Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.87 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.91 Å. In the fifth Na1+ site, Na1+ is bonded to seven O2- atoms to form distorted NaO7 pentagonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Na–O bond distances ranging from 2.30–2.71 Å. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.80 Å. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–3.00 Å. In the eighth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.80 Å. There are four inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NaO7 pentagonal bipyramid and corners with four PO4 tetrahedra. There are a spread of Ni–O bond distances ranging from 1.97–2.14 Å. In the second Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Ni–O bond distances ranging from 1.95–2.11 Å. In the third Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four PO4 tetrahedra and an edgeedge with one NaO7 pentagonal bipyramid. There are a spread of Ni–O bond distances ranging from 1.96–2.12 Å. In the fourth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four PO4 tetrahedra and a faceface with one NaO7 pentagonal bipyramid. There are a spread of Ni–O bond distances ranging from 1.97–2.12 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.26–1.31 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.25–1.31 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.25–1.31 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.26–1.31 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 NiO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 39–48°. 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 NiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–49°. 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 NiO6 octahedra and an edgeedge with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 40–49°. 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 NiO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one C4+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+ and one C4+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Ni3+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Na1+, one Ni3+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Ni3+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ni3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ni3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ni3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Ni3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Na1+, one Ni3+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one C4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Na1+ and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li6Nb3P8O29 by Materials Project

Li6Nb3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve 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 2.19–2.64 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 edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.36–2.49 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one NbO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NbO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 69–73°. There are a spread of Li–O bond distances ranging from 1.80–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one NbO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.18 Å. In the sixth 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 1.95–2.17 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one NbO6 octahedra. There are a spread of Li–O bond distances ranging from 1.87–2.22 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one NbO6 octahedra. There are a spread of Li–O bond distances ranging from 1.90–2.12 Å. In the ninth 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 1.98–2.19 Å. In the tenth 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 1.88–2.14 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one NbO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.20 Å. In the twelfth 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 1.97–2.11 Å. There are six inequivalent Nb4+ sites. In the first Nb4+ site, Nb4+ is bonded to six O2- atoms to form NbO6 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 Nb–O bond distances ranging from 1.97–2.15 Å. In the second Nb4+ site, Nb4+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 2.00–2.13 Å. In the third Nb4+ site, Nb4+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 1.99–2.15 Å. In the fourth Nb4+ site, Nb4+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 1.97–2.15 Å. In the fifth Nb4+ site, Nb4+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 2.02–2.10 Å. In the sixth Nb4+ site, Nb4+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 2.03–2.10 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NbO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.50–1.62 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, corners with two NbO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of P–O bond distances ranging from 1.50–1.62 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, corners with two NbO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–54°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NbO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–39°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NbO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–34°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NbO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–49°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NbO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–57°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NbO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NbO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NbO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NbO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–44°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NbO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–34°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NbO6 octahedra. The corner-sharing octahedra tilt angles range from 34–38°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NbO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–52°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NbO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of P–O bond distances ranging from 1.50–1.64 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NbO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate 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 Nb4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb4+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb4+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Nb4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Nb4+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Nb4+, and one P5+ atom. In the twenty-first O2- site, O2- is bonde

36 MATERIALS SCIENCE↗

Materials Data on Li9Nb7V12O48 by Materials Project

Li9Nb7V12O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent NbO6 octahedra. There are a spread of Li–O bond distances ranging from 2.05–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 2.05–2.31 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one NbO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 2.10–2.36 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one NbO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 2.10–2.34 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one NbO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 62–70°. There are a spread of Li–O bond distances ranging from 2.08–2.32 Å. In the sixth 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 2.08–2.48 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 2.07–2.36 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two NbO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Li–O bond distances ranging from 2.08–2.31 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent NbO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. There are seven inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 pentagonal pyramids that share corners with two LiO6 octahedra and corners with six VO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Nb–O bond distances ranging from 1.96–2.13 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Nb–O bond distances ranging from 1.89–2.21 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Nb–O bond distances ranging from 1.94–2.09 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Nb–O bond distances ranging from 1.89–2.09 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Nb–O bond distances ranging from 1.89–2.11 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Nb–O bond distances ranging from 1.89–2.10 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Nb–O bond distances ranging from 1.90–2.22 Å. There are twelve inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 31–64°. There are a spread of V–O bond distances ranging from 1.75–1.90 Å. In the second V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NbO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 32–61°. There are a spread of V–O bond distances ranging from 1.67–1.82 Å. In the third V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NbO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 33–60°. There are a spread of V–O bond distances ranging from 1.65–1.81 Å. In the fourth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NbO6 octahedra, and a cornercorner with one NbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 23–62°. There are a spread of V–O bond distances ranging from 1.89–1.93 Å. In the fifth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two NbO6 octahedra, corners with three LiO6 octahedra, and a cornercorner with one NbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 21–56°. There are a spread of V–O bond distances ranging from 1.68–1.79 Å. In the sixth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three LiO6 octahedra and corners with five NbO6 octahedra. The corner-sharing octahedra tilt angles range from 23–68°. There are a spread of V–O bond distances ranging from 1.86–1.99 Å. In the seventh V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NbO6 octahedra and corners with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–58°. There are a spread of V–O bond distances ranging from 1.69–1.78 Å. In the eighth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two NbO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of V–O bond distances ranging from 1.68–1.86 Å. In the ninth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NbO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–60°. There are a spread of V–O bond distances ranging from 1.66–1.95 Å. In the tenth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two NbO6 octahedra, corners with three LiO6 octahedra, and corners with two equivalent NbO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 31–59°. There are a spread of V–O bond distances ranging from 1.79–1.89 Å. In the eleventh V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two NbO6 octahedra, corners with three LiO6 octahedra, and corners with two equivalent NbO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 30–60°. There are a spread of V–O bond distances ranging from 1.78–1.90 Å. In the twelfth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 28–64°. There are a spread of V–O bond distances ranging from 1.72–1.80 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the eighteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V+4.33+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V+4.33+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one V+4.33+ atom. In the twenty-fourth O2- site, O2- is bonded in a tri

36 MATERIALS SCIENCE↗

Materials Data on Li9Cr19O48 by Materials Project

Li9Cr19O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent CrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.03–2.12 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 2.07–2.22 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 2.03–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 66–72°. There are a spread of Li–O bond distances ranging from 2.08–2.26 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 octahedra, and corners with six CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–72°. There are a spread of Li–O bond distances ranging from 2.05–2.28 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 2.05–2.24 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two CrO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 65°. There are a spread of Li–O bond distances ranging from 2.14–2.25 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent CrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.04–2.16 Å. There are nineteen inequivalent Cr+4.58+ sites. In the first Cr+4.58+ site, Cr+4.58+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 31–63°. There are a spread of Cr–O bond distances ranging from 1.72–1.77 Å. In the second Cr+4.58+ site, Cr+4.58+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–60°. There are a spread of Cr–O bond distances ranging from 1.62–1.71 Å. In the third Cr+4.58+ site, Cr+4.58+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 30–59°. There are a spread of Cr–O bond distances ranging from 1.62–1.71 Å. In the fourth Cr+4.58+ site, Cr+4.58+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cr–O bond distances ranging from 1.99–2.28 Å. In the fifth Cr+4.58+ site, Cr+4.58+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Cr–O bond distances ranging from 1.96–2.08 Å. In the sixth Cr+4.58+ site, Cr+4.58+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–63°. There are a spread of Cr–O bond distances ranging from 1.72–1.75 Å. In the seventh Cr+4.58+ site, Cr+4.58+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of Cr–O bond distances ranging from 1.64–1.71 Å. In the eighth Cr+4.58+ site, Cr+4.58+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three LiO6 octahedra and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–65°. There are a spread of Cr–O bond distances ranging from 1.69–1.85 Å. In the ninth Cr+4.58+ site, Cr+4.58+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.95–2.07 Å. In the tenth Cr+4.58+ site, Cr+4.58+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.97–2.09 Å. In the eleventh Cr+4.58+ site, Cr+4.58+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three CrO6 octahedra and corners with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–56°. There is one shorter (1.64 Å) and three longer (1.69 Å) Cr–O bond length. In the twelfth Cr+4.58+ site, Cr+4.58+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–56°. There are a spread of Cr–O bond distances ranging from 1.64–1.72 Å. In the thirteenth Cr+4.58+ site, Cr+4.58+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–60°. There are a spread of Cr–O bond distances ranging from 1.63–1.70 Å. In the fourteenth Cr+4.58+ site, Cr+4.58+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Cr–O bond distances ranging from 1.94–2.08 Å. In the fifteenth Cr+4.58+ site, Cr+4.58+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Cr–O bond distances ranging from 1.94–2.08 Å. In the sixteenth Cr+4.58+ site, Cr+4.58+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Cr–O bond distances ranging from 1.97–2.05 Å. In the seventeenth Cr+4.58+ site, Cr+4.58+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 31–60°. There are a spread of Cr–O bond distances ranging from 1.72–1.76 Å. In the eighteenth Cr+4.58+ site, Cr+4.58+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 32–60°. There are a spread of Cr–O bond distances ranging from 1.72–1.76 Å. In the nineteenth Cr+4.58+ site, Cr+4.58+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 31–65°. There are a spread of Cr–O bond distances ranging from 1.73–1.75 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Cr+4.58+ atoms. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Cr+4.58+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Cr+4.58+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Cr+4.58+ atoms. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+ and two Cr+4.58+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Cr+4.58+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Cr+4.58+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Cr+4.58+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Cr+4.58+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Cr+4.58+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Cr+4.58+ atoms. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+ and two Cr+4.58+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Cr+4.58+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Cr+4.58+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Cr+4.58+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Cr+4.58+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Cr+4.58+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Cr+4.58+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Cr+4.58+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Cr+4.58+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Cr+4.58+ atom. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Cr+4.58+ atoms. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one Cr+4.58+ atom. In the twenty-fourth O2- site, O2- is bonded i

36 MATERIALS SCIENCE↗

Materials Data on Ba5V5O14 by Materials Project

Ba5V5O14 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent VO6 octahedra, faces with three equivalent BaO12 cuboctahedra, faces with six VO6 octahedra, and a faceface with one VO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Ba–O bond distances ranging from 2.88–3.16 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.24 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent VO6 octahedra, faces with six VO6 octahedra, and a faceface with one VO5 square pyramid. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Ba–O bond distances ranging from 2.85–3.13 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.70–3.15 Å. In the fifth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.05 Å. In the sixth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.00 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–3.30 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.74–3.04 Å. In the ninth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.85–3.33 Å. In the tenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent VO6 octahedra, faces with three equivalent BaO12 cuboctahedra, faces with six VO6 octahedra, and a faceface with one VO5 square pyramid. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Ba–O bond distances ranging from 2.85–3.29 Å. There are ten inequivalent V+3.60+ sites. In the first V+3.60+ site, V+3.60+ is bonded to five O2- atoms to form VO5 trigonal bipyramids that share corners with three equivalent VO6 octahedra, corners with two equivalent VO5 trigonal bipyramids, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of V–O bond distances ranging from 1.93–2.26 Å. In the second V+3.60+ site, V+3.60+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with three equivalent VO6 octahedra, corners with two equivalent VO5 square pyramids, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of V–O bond distances ranging from 1.98–2.09 Å. In the third V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent VO5 trigonal bipyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.86–2.06 Å. In the fourth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent VO5 trigonal bipyramids, and a faceface with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.99–2.20 Å. In the fifth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share faces with six BaO12 cuboctahedra and faces with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.05 Å. In the sixth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent VO5 square pyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one VO6 octahedra. There are a spread of V–O bond distances ranging from 2.00–2.10 Å. In the seventh V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent VO5 square pyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.85–2.06 Å. In the eighth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share faces with three equivalent BaO12 cuboctahedra and faces with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the ninth V+3.60+ site, V+3.60+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share corners with three equivalent VO6 octahedra, corners with two equivalent VO5 square pyramids, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–19°. There are a spread of V–O bond distances ranging from 1.76–2.00 Å. In the tenth V+3.60+ site, V+3.60+ is bonded to five O2- atoms to form VO5 trigonal bipyramids that share corners with three equivalent VO6 octahedra and corners with two equivalent VO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–20°. There are a spread of V–O bond distances ranging from 1.85–2.20 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the seventeenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to three Ba2+ and two V+3.60+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi6P2O15 by Materials Project

Bi6P2O15 crystallizes in the triclinic P1 space group. The structure is two-dimensional and consists of one Bi6P2O15 sheet oriented in the (0, 0, 1) direction. there are twelve inequivalent Bi+3.33+ sites. In the first Bi+3.33+ site, Bi+3.33+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 1.99–2.65 Å. In the second Bi+3.33+ site, Bi+3.33+ is bonded in a 2-coordinate geometry to two O2- atoms. There are one shorter (1.89 Å) and one longer (2.15 Å) Bi–O bond lengths. In the third Bi+3.33+ site, Bi+3.33+ is bonded in a 1-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.00–2.81 Å. In the fourth Bi+3.33+ site, Bi+3.33+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 1.96–2.61 Å. In the fifth Bi+3.33+ site, Bi+3.33+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 1.83–2.33 Å. In the sixth Bi+3.33+ site, Bi+3.33+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share a cornercorner with one PO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.05–2.55 Å. In the seventh Bi+3.33+ site, Bi+3.33+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 1.92–2.86 Å. In the eighth Bi+3.33+ site, Bi+3.33+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 1.84–2.59 Å. In the ninth Bi+3.33+ site, Bi+3.33+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 1.90–2.88 Å. In the tenth Bi+3.33+ site, Bi+3.33+ is bonded in a 1-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 1.85–2.98 Å. In the eleventh Bi+3.33+ site, Bi+3.33+ is bonded in a 1-coordinate geometry to two O2- atoms. There are one shorter (1.89 Å) and one longer (2.24 Å) Bi–O bond lengths. In the twelfth Bi+3.33+ site, Bi+3.33+ is bonded in a 2-coordinate geometry to two O2- atoms. There are one shorter (1.84 Å) and one longer (2.21 Å) Bi–O bond lengths. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded in a distorted tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.41–1.87 Å. In the second P5+ site, P5+ is bonded in a distorted tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.37–1.91 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one BiO5 square pyramid. There are a spread of P–O bond distances ranging from 1.29–1.89 Å. In the fourth P5+ site, P5+ is bonded in a distorted tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.41–1.73 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Bi+3.33+ atoms. In the second O2- site, O2- is bonded in a distorted water-like geometry to two Bi+3.33+ atoms. In the third O2- site, O2- is bonded in a 1-coordinate geometry to two Bi+3.33+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Bi+3.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Bi+3.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Bi+3.33+ atoms. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to three Bi+3.33+ atoms. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi+3.33+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to four Bi+3.33+ atoms. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to two Bi+3.33+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Bi+3.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted water-like geometry to three Bi+3.33+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted L-shaped geometry to two Bi+3.33+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi+3.33+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi+3.33+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi+3.33+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi+3.33+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted water-like geometry to three Bi+3.33+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Bi+3.33+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi+3.33+ atoms. In the twenty-first O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Bi+3.33+ atoms. In the twenty-third O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi+3.33+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Bi+3.33+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted water-like geometry to one Bi+3.33+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to three Bi+3.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiFeP2O7 by Materials Project

LiFeP2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight 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 1.95–2.39 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 74°. There are a spread of Li–O bond distances ranging from 1.83–1.99 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.81–2.28 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–2.03 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 1.90–2.62 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with four PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.84–2.12 Å. In the seventh 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 1.84–2.57 Å. In the eighth 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 1.93–2.39 Å. There are eight inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.91–2.20 Å. In the second Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with five PO4 tetrahedra and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.88–2.18 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.25 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.19 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.91–2.36 Å. In the sixth Fe3+ site, Fe3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.96–2.14 Å. In the seventh Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.17 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.96–2.20 Å. There are sixteen 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 FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedral tilt angles are 54°. 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 three FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 21–50°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 28°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 34°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–48°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–50°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 32°. There are a spread of P–O bond distances ranging from 1.47–1.64 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Fe3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bo

36 MATERIALS SCIENCE↗

Materials Data on Na2MnPCO7 by Materials Project

Na2MnCPO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to seven O2- atoms to form distorted NaO7 pentagonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Na–O bond distances ranging from 2.30–2.64 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.23–2.96 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.75 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.99 Å. In the fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.83 Å. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.29–2.84 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.29–2.74 Å. In the eighth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–2.61 Å. There are four inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra and an edgeedge with one NaO7 pentagonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.98–2.34 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra and a faceface with one NaO7 pentagonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.96–2.23 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.24 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one NaO7 pentagonal bipyramid and corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.16 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.34 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.25–1.34 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.23–1.34 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 MnO6 octahedra and an edgeedge with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 40–47°. 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 MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 40–53°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Na1+ and one C4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one C4+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Mn3+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one C4+ atom. In the fifth O2- site, O2- is bonded to three Na1+, one Mn3+, and one C4+ atom to form distorted edge-sharing ONa3MnC trigonal bipyramids. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Na1+, one Mn3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Mn3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded to two Na1+, one Mn3+, and one C4+ atom to form distorted corner-sharing ONa2MnC trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to two Na1+, one Mn3+, and one C4+ atom to form distorted corner-sharing ONa2MnC trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded to three Na1+ and one C4+ atom to form distorted ONa3C trigonal pyramids that share corners with two ONa2MnC trigonal pyramids and an edgeedge with one ONa3MnC trigonal bipyramid. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.20 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 an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.99–2.10 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 1.94–2.11 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 68–69°. There are a spread of Li–O bond distances ranging from 1.89–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.22 Å. In the seventh 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 1.99–2.10 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 68–70°. There are a spread of Li–O bond distances ranging from 1.85–2.28 Å. In the ninth 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 2.02–2.20 Å. In the tenth 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 2.03–2.16 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.27–2.48 Å. In the twelfth Li1+ site, Li1+ is bonded in a 2-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.81 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 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 V–O bond distances ranging from 1.90–2.02 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.02 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 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 V–O bond distances ranging from 1.85–2.03 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 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 V–O bond distances ranging from 1.88–2.01 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 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 V–O bond distances ranging from 1.88–2.01 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.03 Å. There are sixteen 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, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–41°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–37°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–37°. There are a spread of P–O bond distances ranging from 1.50–1.58 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, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–55°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–45°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–46°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 33–38°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–29°. There are a spread of P–O bond distances ranging from 1.49–1.57 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ 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 bent 150 degrees geometry to one V4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(P2O7)4 by Materials Project

Li3Mn4(P2O7)4 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 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.49 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.87–2.10 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 an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.84–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 1.88–2.04 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Li–O bond distances ranging from 1.83–2.19 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 1.89–2.32 Å. There are eight inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO6 pentagonal pyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.31 Å. In the second Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form distorted MnO6 pentagonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.40 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.95–2.54 Å. In the fourth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.33 Å. In the fifth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.31 Å. In the sixth Mn+3.25+ site, Mn+3.25+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.94–2.62 Å. In the seventh Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.54 Å. In the eighth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.48 Å. There are sixteen 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 MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 26–54°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 31–45°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–56°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 25–50°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 32–45°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 30°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+3.25+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+3.25+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Mn+3.25+, and one P5+ atom to form distorted edge-sharing OLi2MnP tetrahedra. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, two Mn+3.25+, and one P5+ atom to form distorted edge-sharing OLiMn2P tetrahedra. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a water-like geometry to one Mn+3.25+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a water-like geometry to one Mn+3.25+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+3.25+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn+3.25+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the twenty-

36 MATERIALS SCIENCE↗

Materials Data on Na2NiPCO7 by Materials Project

Na2NiCPO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.89 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.96 Å. In the third Na1+ site, Na1+ is bonded to seven O2- atoms to form distorted NaO7 pentagonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one NaO7 pentagonal bipyramid, an edgeedge with one PO4 tetrahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Na–O bond distances ranging from 2.31–2.65 Å. In the fourth Na1+ site, Na1+ is bonded to seven O2- atoms to form distorted NaO7 pentagonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one NaO7 pentagonal bipyramid, an edgeedge with one PO4 tetrahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Na–O bond distances ranging from 2.29–2.80 Å. In the fifth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–2.86 Å. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.88 Å. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.62 Å. In the eighth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.70 Å. There are four inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two NaO7 pentagonal bipyramids and corners with four PO4 tetrahedra. There are a spread of Ni–O bond distances ranging from 1.96–2.09 Å. In the second Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four PO4 tetrahedra, an edgeedge with one NaO7 pentagonal bipyramid, and a faceface with one NaO7 pentagonal bipyramid. There are a spread of Ni–O bond distances ranging from 1.99–2.11 Å. In the third Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Ni–O bond distances ranging from 1.99–2.16 Å. In the fourth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four PO4 tetrahedra, an edgeedge with one NaO7 pentagonal bipyramid, and a faceface with one NaO7 pentagonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.00–2.10 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.25–1.31 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.26–1.31 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.26–1.31 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 NiO6 octahedra and edges with two NaO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO6 octahedra and corners with two NaO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 42–47°. 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 four NiO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 41–50°. There is three shorter (1.55 Å) and one 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 NiO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one C4+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Na1+, one Ni3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one C4+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ni3+, and one C4+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni3+, and one C4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one C4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one C4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ni3+, and one C4+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Ni3+, and one C4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Na1+, one Ni3+, and one C4+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Ni3+, and one C4+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ni3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ni3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Na1+, one Ni3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Na1+ and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na2MnPCO7 by Materials Project

Na2MnCPO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.96 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.83 Å. In the third Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.86 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–3.00 Å. In the fifth Na1+ site, Na1+ is bonded to seven O2- atoms to form distorted NaO7 pentagonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Na–O bond distances ranging from 2.29–2.75 Å. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.77 Å. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.97 Å. In the eighth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.64 Å. There are four inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.31 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one NaO7 pentagonal bipyramid and corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.21 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four PO4 tetrahedra and a faceface with one NaO7 pentagonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.98–2.19 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four PO4 tetrahedra and an edgeedge with one NaO7 pentagonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.99–2.18 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.24–1.34 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.25–1.33 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.25–1.32 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 MnO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 40–51°. 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 MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and a cornercorner with one NaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 39–49°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one C4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one C4+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Mn3+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Mn3+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Na1+, one Mn3+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Mn3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Mn3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Mn3+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Na1+, one Mn3+, and one C4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn3+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one C4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3P8O29 by Materials Project

Li4V3P8O29 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 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.28 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.19 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.22 Å. There are four inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–1.99 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.81–2.01 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.97 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–1.92 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–37°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–34°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–37°. There are a spread of P–O bond distances ranging from 1.47–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two equivalent P5+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent P5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li7V3P8O29 by Materials Project

Li7V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.13 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 1.99–2.25 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 67–69°. There are a spread of Li–O bond distances ranging from 1.87–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.09 Å. In the fifth 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 1.98–2.23 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 1.93–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.15 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.99–2.09 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–70°. There are a spread of Li–O bond distances ranging from 1.87–2.31 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.06 Å. In the eleventh 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 1.98–2.28 Å. In the twelfth 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 1.97–2.38 Å. In the thirteenth 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 1.92–2.67 Å. In the fourteenth Li1+ site, Li1+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.14 Å. There are six inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.00 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 2.02–2.06 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.03 Å. In the fourth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.03 Å. In the fifth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.97–2.07 Å. In the sixth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.03 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–40°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–36°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–38°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V+3.67+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+3.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.67+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+3.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Li5Mg11(WO4)12 by Materials Project

Li5Mg11(WO4)12 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with six WO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 2.20–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with six WO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.18–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with six WO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.16–2.28 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with six WO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.19–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six WO4 tetrahedra and faces with two equivalent MgO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.28 Å. There are seven inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six WO4 tetrahedra and faces with two equivalent MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.07 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six WO4 tetrahedra, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Mg–O bond distances ranging from 2.07–2.19 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six WO4 tetrahedra, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Mg–O bond distances ranging from 2.07–2.17 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six WO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.18 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six WO4 tetrahedra and faces with two equivalent MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.09 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six WO4 tetrahedra, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mg–O bond distances ranging from 2.03–2.25 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six WO4 tetrahedra, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Mg–O bond distances ranging from 2.05–2.19 Å. There are eight inequivalent W+5.75+ sites. In the first W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 34–64°. There are a spread of W–O bond distances ranging from 1.85–1.92 Å. In the second W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four MgO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–60°. There are a spread of W–O bond distances ranging from 1.79–1.86 Å. In the third W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with five MgO6 octahedra and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–61°. There are a spread of W–O bond distances ranging from 1.80–1.84 Å. In the fourth W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 32–62°. There are a spread of W–O bond distances ranging from 1.87–1.92 Å. In the fifth W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 22–62°. There are a spread of W–O bond distances ranging from 1.79–1.86 Å. In the sixth W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four MgO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–61°. There are a spread of W–O bond distances ranging from 1.80–1.85 Å. In the seventh W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with five MgO6 octahedra and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–60°. There are a spread of W–O bond distances ranging from 1.79–1.85 Å. In the eighth W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 33–63°. There are a spread of W–O bond distances ranging from 1.89–1.91 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two equivalent Mg2+ and one W+5.75+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one W+5.75+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one W+5.75+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one W+5.75+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one W+5.75+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to two equivalent Mg2+ and one W+5.75+ atom. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to two equivalent Mg2+ and one W+5.75+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one W+5.75+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one W+5.75+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one W+5.75+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one W+5.75+ atom. In the twenty-seventh O2- site, O2- is bonded in a trigonal planar geometry to two equivalent Mg2+ and one W+5.75+ atom. In the twenty-eighth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn12Ni3O32 by Materials Project

Li9Mn12Ni3O32 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NiO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NiO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.00 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.97–2.00 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.97–2.00 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NiO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.00 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NiO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NiO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. All Li–O bond lengths are 2.11 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NiO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. There are twelve inequivalent Mn+4.08+ sites. In the first Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the second Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the third Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the fourth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the fifth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the sixth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the seventh Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the eighth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the ninth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the tenth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.99 Å. In the eleventh Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the twelfth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. There are three inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.06–2.08 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.05–2.08 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.06–2.09 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with nine OLiMn3 trigonal pyramids and edges with two OLiMn2Ni trigonal pyramids. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the third O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with eight OLiMn2Ni trigonal pyramids and edges with two OLi2Mn2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Mn+4.08+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with eleven OLiMn2Ni trigonal pyramids and edges with two OLiMn3 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with nine OLiMn3 trigonal pyramids and an edgeedge with one OLiMn2Ni trigonal pyramid. In the seventh O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Ni trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with nine OLiMn2Ni trigonal pyramids and edges with two OLiMn3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Ni trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with nine OLiMn2Ni trigonal pyramids and edges with two OLiMn3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Ni trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with ten OLiMn3 trigonal pyramids and edges with two OLiMn2Ni trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with ten OLiMn3 trigonal pyramids and edges with two OLiMn2Ni trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with eight OLiMn2Ni trigonal pyramids and edges with two OLiMn3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to two Li1+ and two Mn+4.08+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with eleven OLiMn2Ni trigonal pyramids and edges with three OLi2Mn2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with nine OLiMn3 trigonal pyramids and edges with three OLi2Mn2 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the twenty-fourth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with nine OLiMn2Ni trigonal pyramids and edges with two OLiMn3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to two Li1+ and two Mn+4.08+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with eleven OLiMn3 trigonal pyramids and edges with three OLi2Mn2 trigonal pyramids. In the twenty-sixth O2- site, O2- is bon

36 MATERIALS SCIENCE↗

Materials Data on P2W9O31 by Materials Project

W9P2O31 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent W+5.78+ sites. In the first W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of W–O bond distances ranging from 1.91–2.01 Å. In the second W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of W–O bond distances ranging from 1.91–2.01 Å. In the third W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of W–O bond distances ranging from 1.88–2.00 Å. In the fourth W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of W–O bond distances ranging from 1.87–2.01 Å. In the fifth W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of W–O bond distances ranging from 1.86–2.05 Å. In the sixth W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of W–O bond distances ranging from 1.85–2.06 Å. In the seventh W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of W–O bond distances ranging from 1.85–2.05 Å. In the eighth W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of W–O bond distances ranging from 1.86–2.05 Å. In the ninth W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There is four shorter (1.93 Å) and two longer (1.95 Å) W–O bond length. In the tenth W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There is four shorter (1.93 Å) and two longer (1.95 Å) W–O bond length. 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 WO6 octahedra. The corner-sharing octahedra tilt angles range from 9–24°. All P–O bond lengths are 1.54 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 9–23°. There is three shorter (1.54 Å) and one longer (1.55 Å) P–O bond length. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the second O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the third O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one W+5.78+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one W+5.78+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the seventh O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the eighth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the ninth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the tenth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the thirteenth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.78+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the sixteenth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the seventeenth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.78+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to one W+5.78+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twenty-second O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twenty-third O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.78+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to one W+5.78+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.78+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the thirty-first O2- site, O2- is bonded in a linear geometry to two equivalent W+5.78+ atoms. In the thirty-second O2- site, O2- is bonded in a linear geometry to two equivalent W+5.78+ atoms.

36 MATERIALS SCIENCE↗