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Materials Data on La14C14Cl9 by Materials Project

La14C14Cl9 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are fourteen inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 7-coordinate geometry to four C+2.36- and three Cl1- atoms. There are a spread of La–C bond distances ranging from 2.46–2.75 Å. There are a spread of La–Cl bond distances ranging from 3.13–3.21 Å. In the second La3+ site, La3+ is bonded in a 8-coordinate geometry to five C+2.36- and three Cl1- atoms. There are a spread of La–C bond distances ranging from 2.42–3.01 Å. There are a spread of La–Cl bond distances ranging from 3.07–3.31 Å. In the third La3+ site, La3+ is bonded in a 2-coordinate geometry to four C+2.36- and three Cl1- atoms. There are a spread of La–C bond distances ranging from 2.44–2.78 Å. There are a spread of La–Cl bond distances ranging from 3.12–3.51 Å. In the fourth La3+ site, La3+ is bonded to five C+2.36- and three Cl1- atoms to form a mixture of distorted corner and face-sharing LaC5Cl3 hexagonal bipyramids. There are a spread of La–C bond distances ranging from 2.45–2.80 Å. There are a spread of La–Cl bond distances ranging from 2.93–3.26 Å. In the fifth La3+ site, La3+ is bonded in a 8-coordinate geometry to five C+2.36- and three Cl1- atoms. There are a spread of La–C bond distances ranging from 2.43–2.94 Å. There are two shorter (3.00 Å) and one longer (3.30 Å) La–Cl bond lengths. In the sixth La3+ site, La3+ is bonded in a distorted q4 geometry to six C+2.36- and three Cl1- atoms. There are a spread of La–C bond distances ranging from 2.65–2.86 Å. There are a spread of La–Cl bond distances ranging from 2.95–3.30 Å. In the seventh La3+ site, La3+ is bonded in a 8-coordinate geometry to five C+2.36- and three Cl1- atoms. There are a spread of La–C bond distances ranging from 2.43–3.03 Å. There are a spread of La–Cl bond distances ranging from 3.06–3.32 Å. In the eighth La3+ site, La3+ is bonded in a 7-coordinate geometry to four C+2.36- and three Cl1- atoms. There are a spread of La–C bond distances ranging from 2.46–2.75 Å. There are a spread of La–Cl bond distances ranging from 3.13–3.22 Å. In the ninth La3+ site, La3+ is bonded in a distorted q4 geometry to six C+2.36- and three Cl1- atoms. There are a spread of La–C bond distances ranging from 2.64–2.85 Å. There are a spread of La–Cl bond distances ranging from 2.98–3.26 Å. In the tenth La3+ site, La3+ is bonded in a distorted q4 geometry to six C+2.36- and three Cl1- atoms. There are a spread of La–C bond distances ranging from 2.64–2.82 Å. There are a spread of La–Cl bond distances ranging from 2.96–3.32 Å. In the eleventh La3+ site, La3+ is bonded in a 6-coordinate geometry to four C+2.36- and two Cl1- atoms. There are a spread of La–C bond distances ranging from 2.44–2.76 Å. There are one shorter (3.11 Å) and one longer (3.28 Å) La–Cl bond lengths. In the twelfth La3+ site, La3+ is bonded to five C+2.36- and three Cl1- atoms to form a mixture of distorted corner and face-sharing LaC5Cl3 hexagonal bipyramids. There are a spread of La–C bond distances ranging from 2.46–2.80 Å. There are a spread of La–Cl bond distances ranging from 2.96–3.25 Å. In the thirteenth La3+ site, La3+ is bonded in a distorted q4 geometry to six C+2.36- and three Cl1- atoms. There are a spread of La–C bond distances ranging from 2.65–2.86 Å. There are a spread of La–Cl bond distances ranging from 3.00–3.29 Å. In the fourteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to five C+2.36- and three Cl1- atoms. There are a spread of La–C bond distances ranging from 2.42–2.94 Å. There are a spread of La–Cl bond distances ranging from 2.96–3.32 Å. There are fourteen inequivalent C+2.36- sites. In the first C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five La3+ and one C+2.36- atom. The C–C bond length is 1.36 Å. In the second C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five La3+ and one C+2.36- atom. The C–C bond length is 1.36 Å. In the third C+2.36- site, C+2.36- is bonded to five La3+ and one C+2.36- atom to form distorted corner-sharing CLa5C octahedra. The corner-sharing octahedral tilt angles are 67°. In the fourth C+2.36- site, C+2.36- is bonded to five La3+ and one C+2.36- atom to form distorted corner-sharing CLa5C octahedra. The corner-sharing octahedral tilt angles are 68°. The C–C bond length is 1.35 Å. In the fifth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five La3+ and one C+2.36- atom. In the sixth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five La3+ and one C+2.36- atom. The C–C bond length is 1.36 Å. In the seventh C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five La3+ and one C+2.36- atom. The C–C bond length is 1.34 Å. In the eighth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five La3+ and one C+2.36- atom. In the ninth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five La3+ and one C+2.36- atom. In the tenth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five La3+ and one C+2.36- atom. The C–C bond length is 1.36 Å. In the eleventh C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five La3+ and one C+2.36- atom. The C–C bond length is 1.36 Å. In the twelfth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five La3+ and one C+2.36- atom. In the thirteenth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five La3+ and one C+2.36- atom. In the fourteenth C+2.36- site, C+2.36- is bonded to five La3+ and one C+2.36- atom to form distorted corner-sharing CLa5C octahedra. The corner-sharing octahedral tilt angles are 67°. There are nine inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to four La3+ atoms. In the second Cl1- site, Cl1- is bonded in a rectangular see-saw-like geometry to four La3+ atoms. In the third Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five La3+ atoms. In the fourth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to four La3+ atoms. In the fifth Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five La3+ atoms. In the sixth Cl1- site, Cl1- is bonded in a 4-coordinate geometry to five La3+ atoms. In the seventh Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five La3+ atoms. In the eighth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to four La3+ atoms. In the ninth Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five La3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zn13Sb10 by Materials Project

Zn13Sb10 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twenty-six inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.75–2.79 Å. In the second Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.71–2.85 Å. In the third Zn2+ site, Zn2+ is bonded in a distorted trigonal planar geometry to three Sb+2.60- atoms. There are a spread of Zn–Sb bond distances ranging from 2.70–2.82 Å. In the fourth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.67–2.88 Å. In the fifth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.69–2.82 Å. In the sixth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.70–2.85 Å. In the seventh Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.70–2.86 Å. In the eighth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.69–2.85 Å. In the ninth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.71–2.98 Å. In the tenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.70–2.78 Å. In the eleventh Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.73–2.78 Å. In the twelfth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.69–2.83 Å. In the thirteenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.71–2.82 Å. In the fourteenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.71–2.81 Å. In the fifteenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.69–2.80 Å. In the sixteenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.70–2.80 Å. In the seventeenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.74–3.06 Å. In the eighteenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.71–2.82 Å. In the nineteenth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.72–2.91 Å. In the twentieth Zn2+ site, Zn2+ is bonded in a 4-coordinate geometry to four Sb+2.60- atoms. There are a spread of Zn–Sb bond distances ranging from 2.65–2.95 Å. In the twenty-first Zn2+ site, Zn2+ is bonded in a 4-coordinate geometry to four Sb+2.60- atoms. There are a spread of Zn–Sb bond distances ranging from 2.73–2.87 Å. In the twenty-second Zn2+ site, Zn2+ is bonded in a 3-coordinate geometry to three Sb+2.60- atoms. There are a spread of Zn–Sb bond distances ranging from 2.66–2.82 Å. In the twenty-third Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.72–2.98 Å. In the twenty-fourth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.71–2.83 Å. In the twenty-fifth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.70–2.83 Å. In the twenty-sixth Zn2+ site, Zn2+ is bonded to four Sb+2.60- atoms to form a mixture of distorted edge and corner-sharing ZnSb4 tetrahedra. There are a spread of Zn–Sb bond distances ranging from 2.69–2.96 Å. There are twenty inequivalent Sb+2.60- sites. In the first Sb+2.60- site, Sb+2.60- is bonded in a 6-coordinate geometry to six Zn2+ atoms. In the second Sb+2.60- site, Sb+2.60- is bonded in a 3-coordinate geometry to three Zn2+ atoms. In the third Sb+2.60- site, Sb+2.60- is bonded to six Zn2+ atoms to form a mixture of distorted edge and corner-sharing SbZn6 pentagonal pyramids. In the fourth Sb+2.60- site, Sb+2.60- is bonded in a 7-coordinate geometry to seven Zn2+ atoms. In the fifth Sb+2.60- site, Sb+2.60- is bonded to six Zn2+ atoms to form a mixture of distorted edge and corner-sharing SbZn6 pentagonal pyramids. In the sixth Sb+2.60- site, Sb+2.60- is bonded in a 3-coordinate geometry to four Zn2+ and one Sb+2.60- atom. The Sb–Sb bond length is 2.89 Å. In the seventh Sb+2.60- site, Sb+2.60- is bonded in a 6-coordinate geometry to six Zn2+ atoms. In the eighth Sb+2.60- site, Sb+2.60- is bonded in a 6-coordinate geometry to four Zn2+ atoms. In the ninth Sb+2.60- site, Sb+2.60- is bonded in a distorted trigonal planar geometry to three Zn2+ and one Sb+2.60- atom. The Sb–Sb bond length is 2.87 Å. In the tenth Sb+2.60- site, Sb+2.60- is bonded in a distorted trigonal planar geometry to three Zn2+ and one Sb+2.60- atom. In the eleventh Sb+2.60- site, Sb+2.60- is bonded to six Zn2+ atoms to form a mixture of distorted edge and corner-sharing SbZn6 pentagonal pyramids. In the twelfth Sb+2.60- site, Sb+2.60- is bonded in a 7-coordinate geometry to seven Zn2+ atoms. In the thirteenth Sb+2.60- site, Sb+2.60- is bonded in a 5-coordinate geometry to four Zn2+ and one Sb+2.60- atom. In the fourteenth Sb+2.60- site, Sb+2.60- is bonded in a 6-coordinate geometry to six Zn2+ atoms. In the fifteenth Sb+2.60- site, Sb+2.60- is bonded to six Zn2+ atoms to form a mixture of distorted edge and corner-sharing SbZn6 pentagonal pyramids. In the sixteenth Sb+2.60- site, Sb+2.60- is bonded in a 4-coordinate geometry to four Zn2+ atoms. In the seventeenth Sb+2.60- site, Sb+2.60- is bonded to six Zn2+ atoms to form a mixture of distorted edge and corner-sharing SbZn6 pentagonal pyramids. In the eighteenth Sb+2.60- site, Sb+2.60- is bonded in a 6-coordinate geometry to six Zn2+ atoms. In the nineteenth Sb+2.60- site, Sb+2.60- is bonded to six Zn2+ atoms to form a mixture of distorted edge and corner-sharing SbZn6 pentagonal pyramids. In the twentieth Sb+2.60- site, Sb+2.60- is bonded in a 3-coordinate geometry to three Zn2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiNbO3 by Materials Project

LiNbO3 is Ilmenite-like structured and 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 in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.61 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.33 Å. In the third Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.57 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.34 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.33 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 2.07–2.33 Å. In the seventh 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 2.07–2.33 Å. In the eighth 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 2.07–2.33 Å. In the ninth 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 2.07–2.33 Å. In the tenth 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 2.07–2.33 Å. In the eleventh 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 2.07–2.33 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.35 Å. In the thirteenth 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 2.07–2.33 Å. In the fourteenth 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 2.02–2.35 Å. There are thirteen inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of Nb–O bond distances ranging from 1.91–2.17 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 34–40°. There are a spread of Nb–O bond distances ranging from 1.91–2.14 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 34–41°. There are a spread of Nb–O bond distances ranging from 1.91–2.14 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the eighth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the ninth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the eleventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the twelfth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are three shorter (1.90 Å) and three longer (2.17 Å) Nb–O bond lengths. In the thirteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Nb5+ atoms. In the second O2- site, O2- is bonded to two Li1+ and two Nb5+ atoms to form a mixture of distorted edge and corner-sharing OLi2Nb2 trigonal pyramids. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Nb5+ atoms. In the fifth O2- site, O2- is bonded to two Li1+ and two Nb5+ atoms to form a mixture of distorted edge and corner-sharing OLi2Nb2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+ and two Nb5+ atoms. In the eighth O2- site, O2- is bonded to two Li1+ and two Nb5+ atoms to form a mixture of distorted edge and corner-sharing OLi2Nb2 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. The O–Nb bond length is 2.18 Å. In the twenty-fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. The O–Nb bond length is 2.17 Å. In the twenty-seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. The O–Nb bond length is 2.17 Å. In the twenty-eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. The O–Nb bond length is 1.90 Å. In the twenty-ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. The O–Nb bond length is 1.90 Å. In the thirtieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. The O–Nb bond length is 1.90 Å. In the thirty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+ and two Nb5+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the fortieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the forty-first O2- site, O2- is bonded to two Li1+ and two Nb5+ atoms to form a mixture of distorted edge and corner-sharing OLi2Nb2 trigonal pyramids. In the forty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cu7PSe6 by Materials Project

Cu7PSe6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-eight inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to four Se2- atoms. There are a spread of Cu–Se bond distances ranging from 2.40–2.68 Å. In the second Cu1+ site, Cu1+ is bonded to four Se2- atoms to form distorted CuSe4 tetrahedra that share corners with two PSe4 tetrahedra, corners with three CuSe4 tetrahedra, a cornercorner with one CuSe4 trigonal pyramid, and an edgeedge with one CuSe4 tetrahedra. There are a spread of Cu–Se bond distances ranging from 2.40–2.70 Å. In the third Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to four Se2- atoms. There are a spread of Cu–Se bond distances ranging from 2.45–2.77 Å. In the fourth Cu1+ site, Cu1+ is bonded to four Se2- atoms to form CuSe4 tetrahedra that share corners with two PSe4 tetrahedra, corners with three CuSe4 tetrahedra, a cornercorner with one CuSe4 trigonal pyramid, and an edgeedge with one CuSe4 tetrahedra. There are a spread of Cu–Se bond distances ranging from 2.45–2.56 Å. In the fifth Cu1+ site, Cu1+ is bonded in a linear geometry to two Se2- atoms. There are one shorter (2.29 Å) and one longer (2.31 Å) Cu–Se bond lengths. In the sixth Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to four Se2- atoms. There are a spread of Cu–Se bond distances ranging from 2.46–2.66 Å. In the seventh Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to four Se2- atoms. There are a spread of Cu–Se bond distances ranging from 2.42–2.60 Å. In the eighth Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to four Se2- atoms. There are a spread of Cu–Se bond distances ranging from 2.40–2.68 Å. In the ninth Cu1+ site, Cu1+ is bonded to four Se2- atoms to form distorted CuSe4 trigonal pyramids that share corners with two PSe4 tetrahedra, corners with three CuSe4 tetrahedra, and corners with two CuSe4 trigonal pyramids. There are a spread of Cu–Se bond distances ranging from 2.42–2.60 Å. In the tenth Cu1+ site, Cu1+ is bonded in a linear geometry to two Se2- atoms. Both Cu–Se bond lengths are 2.29 Å. In the eleventh Cu1+ site, Cu1+ is bonded to four Se2- atoms to form distorted CuSe4 tetrahedra that share corners with two CuSe4 tetrahedra, corners with two PSe4 tetrahedra, and corners with two CuSe4 trigonal pyramids. There are a spread of Cu–Se bond distances ranging from 2.42–2.55 Å. In the twelfth Cu1+ site, Cu1+ is bonded to four Se2- atoms to form distorted CuSe4 tetrahedra that share corners with two PSe4 tetrahedra, corners with five CuSe4 tetrahedra, and a cornercorner with one CuSe4 trigonal pyramid. There are a spread of Cu–Se bond distances ranging from 2.47–2.64 Å. In the thirteenth Cu1+ site, Cu1+ is bonded in a 3-coordinate geometry to three Se2- atoms. There are two shorter (2.39 Å) and one longer (2.41 Å) Cu–Se bond lengths. In the fourteenth Cu1+ site, Cu1+ is bonded in a 3-coordinate geometry to three Se2- atoms. There are a spread of Cu–Se bond distances ranging from 2.38–2.42 Å. In the fifteenth Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to three Se2- atoms. There are a spread of Cu–Se bond distances ranging from 2.38–2.42 Å. In the sixteenth Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to three Se2- atoms. There are a spread of Cu–Se bond distances ranging from 2.39–2.44 Å. In the seventeenth Cu1+ site, Cu1+ is bonded to four Se2- atoms to form distorted CuSe4 trigonal pyramids that share corners with two CuSe4 tetrahedra, corners with two PSe4 tetrahedra, and corners with three CuSe4 trigonal pyramids. There are a spread of Cu–Se bond distances ranging from 2.42–2.64 Å. In the eighteenth Cu1+ site, Cu1+ is bonded to four Se2- atoms to form distorted CuSe4 trigonal pyramids that share corners with two PSe4 tetrahedra, corners with four CuSe4 tetrahedra, and corners with two CuSe4 trigonal pyramids. There are a spread of Cu–Se bond distances ranging from 2.40–2.64 Å. In the nineteenth Cu1+ site, Cu1+ is bonded in a linear geometry to two Se2- atoms. There are one shorter (2.28 Å) and one longer (2.31 Å) Cu–Se bond lengths. In the twentieth Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to three Se2- atoms. There are a spread of Cu–Se bond distances ranging from 2.39–2.41 Å. In the twenty-first Cu1+ site, Cu1+ is bonded to four Se2- atoms to form distorted CuSe4 tetrahedra that share corners with two PSe4 tetrahedra, corners with four CuSe4 tetrahedra, and corners with two CuSe4 trigonal pyramids. There are a spread of Cu–Se bond distances ranging from 2.42–2.60 Å. In the twenty-second Cu1+ site, Cu1+ is bonded to four Se2- atoms to form CuSe4 tetrahedra that share corners with two PSe4 tetrahedra, corners with three CuSe4 tetrahedra, and corners with three CuSe4 trigonal pyramids. There are a spread of Cu–Se bond distances ranging from 2.44–2.56 Å. In the twenty-third Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to three Se2- atoms. There are two shorter (2.39 Å) and one longer (2.41 Å) Cu–Se bond lengths. In the twenty-fourth Cu1+ site, Cu1+ is bonded in a linear geometry to two Se2- atoms. There are one shorter (2.28 Å) and one longer (2.32 Å) Cu–Se bond lengths. In the twenty-fifth Cu1+ site, Cu1+ is bonded to four Se2- atoms to form distorted CuSe4 trigonal pyramids that share corners with two PSe4 tetrahedra, corners with four CuSe4 tetrahedra, and a cornercorner with one CuSe4 trigonal pyramid. There are a spread of Cu–Se bond distances ranging from 2.43–2.63 Å. In the twenty-sixth Cu1+ site, Cu1+ is bonded to four Se2- atoms to form distorted CuSe4 tetrahedra that share corners with two CuSe4 tetrahedra, corners with two PSe4 tetrahedra, and corners with three CuSe4 trigonal pyramids. There are a spread of Cu–Se bond distances ranging from 2.41–2.57 Å. In the twenty-seventh Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to three Se2- atoms. There are a spread of Cu–Se bond distances ranging from 2.39–2.42 Å. In the twenty-eighth Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to three Se2- atoms. There are a spread of Cu–Se bond distances ranging from 2.39–2.45 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four Se2- atoms to form PSe4 tetrahedra that share corners with three CuSe4 tetrahedra and corners with three CuSe4 trigonal pyramids. There are a spread of P–Se bond distances ranging from 2.22–2.26 Å. In the second P5+ site, P5+ is bonded to four Se2- atoms to form PSe4 tetrahedra that share corners with two CuSe4 tetrahedra and corners with two CuSe4 trigonal pyramids. There are a spread of P–Se bond distances ranging from 2.23–2.26 Å. In the third P5+ site, P5+ is bonded to four Se2- atoms to form PSe4 tetrahedra that share corners with four CuSe4 tetrahedra and a cornercorner with one CuSe4 trigonal pyramid. There are a spread of P–Se bond distances ranging from 2.23–2.25 Å. In the fourth P5+ site, P5+ is bonded to four Se2- atoms to form PSe4 tetrahedra that share corners with five CuSe4 tetrahedra and corners with two CuSe4 trigonal pyramids. There are a spread of P–Se bond distances ranging from 2.23–2.25 Å. There are twenty-four inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 7-coordinate geometry to seven Cu1+ atoms. In the second Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form distorted SeCu3P tetrahedra that share corners with six SeCu3P tetrahedra and a cornercorner with one SeCu4 trigonal pyramid. In the third Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form distorted corner-sharing SeCu3P tetrahedra. In the fourth Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form corner-sharing SeCu3P tetrahedra. In the fifth Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form distorted corner-sharing SeCu3P tetrahedra. In the sixth Se2- site, Se2- is bonded in a 7-coordinate geometry to seven Cu1+ atoms. In the seventh Se2- site, Se2- is bonded in a 5-coordinate geometry to five Cu1+ atoms. In the eighth Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form distorted corner-sharing SeCu3P tetrahedra. In the ninth Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form SeCu3P tetrahedra that share corners with six SeCu3P tetrahedra and a cornercorner with one SeCu4 trigonal pyramid. In the tenth Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form corner-sharing SeCu3P tetrahedra. In the eleventh Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form distorted SeCu3P trigonal pyramids that share corners with six SeCu3P tetrahedra and a cornercorner with one SeCu4 trigonal pyramid. In the twelfth Se2- site, Se2- is bonded in a 7-coordinate geometry to seven Cu1+ atoms. In the thirteenth Se2- site, Se2- is bonded in a 7-coordinate geometry to seven Cu1+ atoms. In the fourteenth Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form distorted corner-sharing SeCu3P tetrahedra. In the fifteenth Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form distorted SeCu3P tetrahedra that share corners with six SeCu3P tetrahedra and a cornercorner with one SeCu4 trigonal pyramid. In the sixteenth Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form corner-sharing SeCu3P tetrahedra. In the seventeenth Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form distorted corner-sharing SeCu3P tetrahedra. In the eighteenth Se2- site, Se2- is bonded to four Cu1+ atoms to form distorted corner-sharing SeCu4 trigonal pyramids. In the nineteenth Se2- site, Se2- is bonded to four Cu1+ atoms to form distorted corner-sharing SeCu4 trigonal pyramids. In the twentieth Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form distorted SeCu3P tetrahedra that share corners with six SeCu3P tetrahedra and a cornercorner with one SeCu4 trigonal pyramid. In the twenty-first Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form SeCu3P tetrahedra that share corners with six SeCu3P tetrahedra and corners with two SeCu4 trigonal pyramids. In the twenty-second Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form distorted SeCu3P tetrahedra that share corners with six SeCu3P tetrahedra and a cornercorner with one SeCu4 trigonal pyramid. In the twenty-third Se2- site, Se2- is bonded to three Cu1+ and one P5+ atom to form corner-sharing SeCu3P tetrahedra. In the twenty-fourth Se2- site, Se2- is bonded in a 7-coordinate geometry to seven Cu1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg9(In13S24)2 by Materials Project

Mg9(In13S24)2 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Mg sites. In the first Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, an edgeedge with one MgS6 octahedra, and edges with five InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.59–2.61 Å. In the second Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.60–2.62 Å. In the third Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four equivalent InS6 octahedra. There are three shorter (2.60 Å) and three longer (2.61 Å) Mg–S bond lengths. In the fourth Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.60–2.62 Å. In the fifth Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four equivalent InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.60–2.62 Å. In the sixth Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.59–2.62 Å. In the seventh Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four equivalent InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.60–2.62 Å. In the eighth Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, an edgeedge with one MgS6 octahedra, and edges with five InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.59–2.61 Å. In the ninth Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four equivalent InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.59–2.62 Å. There are twenty inequivalent In sites. In the first In site, In is bonded to six S atoms to form InS6 octahedra that share corners with three equivalent InS4 tetrahedra and edges with six InS6 octahedra. There are a spread of In–S bond distances ranging from 2.55–2.79 Å. In the second In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with five MgS6 octahedra and corners with seven InS6 octahedra. The corner-sharing octahedra tilt angles range from 52–61°. There are a spread of In–S bond distances ranging from 2.49–2.54 Å. In the third In site, In is bonded to six S atoms to form InS6 octahedra that share corners with four InS4 tetrahedra, an edgeedge with one MgS6 octahedra, and edges with five InS6 octahedra. There are a spread of In–S bond distances ranging from 2.58–2.71 Å. In the fourth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with six MgS6 octahedra and corners with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of In–S bond distances ranging from 2.50–2.55 Å. In the fifth In site, In is bonded to six S atoms to form InS6 octahedra that share corners with six InS4 tetrahedra, edges with two equivalent InS6 octahedra, and edges with four MgS6 octahedra. There are a spread of In–S bond distances ranging from 2.62–2.66 Å. In the sixth In site, In is bonded to six S atoms to form InS6 octahedra that share corners with four InS4 tetrahedra, an edgeedge with one MgS6 octahedra, and edges with five InS6 octahedra. There are a spread of In–S bond distances ranging from 2.58–2.70 Å. In the seventh In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with four MgS6 octahedra and corners with eight InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are three shorter (2.52 Å) and one longer (2.57 Å) In–S bond lengths. In the eighth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with six MgS6 octahedra and corners with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of In–S bond distances ranging from 2.50–2.55 Å. In the ninth In site, In is bonded to six S atoms to form InS6 octahedra that share corners with six InS4 tetrahedra, edges with two equivalent InS6 octahedra, and edges with four MgS6 octahedra. There are a spread of In–S bond distances ranging from 2.63–2.66 Å. In the tenth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with six MgS6 octahedra and corners with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of In–S bond distances ranging from 2.50–2.55 Å. In the eleventh In site, In is bonded to six S atoms to form InS6 octahedra that share corners with six InS4 tetrahedra, edges with two equivalent InS6 octahedra, and edges with four MgS6 octahedra. There are a spread of In–S bond distances ranging from 2.63–2.66 Å. In the twelfth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with six MgS6 octahedra and corners with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of In–S bond distances ranging from 2.50–2.55 Å. In the thirteenth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with six MgS6 octahedra and corners with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of In–S bond distances ranging from 2.50–2.56 Å. In the fourteenth In site, In is bonded to six S atoms to form InS6 octahedra that share corners with six InS4 tetrahedra, edges with two equivalent InS6 octahedra, and edges with four MgS6 octahedra. There are a spread of In–S bond distances ranging from 2.63–2.66 Å. In the fifteenth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with four MgS6 octahedra and corners with eight InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of In–S bond distances ranging from 2.49–2.52 Å. In the sixteenth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with six MgS6 octahedra and corners with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of In–S bond distances ranging from 2.50–2.56 Å. In the seventeenth In site, In is bonded to six S atoms to form InS6 octahedra that share corners with five InS4 tetrahedra, an edgeedge with one MgS6 octahedra, and edges with five InS6 octahedra. There are a spread of In–S bond distances ranging from 2.56–2.70 Å. In the eighteenth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with five MgS6 octahedra and corners with seven InS6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of In–S bond distances ranging from 2.50–2.58 Å. In the nineteenth In site, In is bonded to six S atoms to form InS6 octahedra that share corners with five InS4 tetrahedra, an edgeedge with one MgS6 octahedra, and edges with five InS6 octahedra. There are a spread of In–S bond distances ranging from 2.55–2.69 Å. In the twentieth In site, In is bonded to four S atoms to form corner-sharing InS4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are one shorter (2.48 Å) and three longer (2.53 Å) In–S bond lengths. There are thirty-six inequivalent S sites. In the first S site, S is bonded in a distorted T-shaped geometry to three In atoms. In the second S site, S is bonded in a rectangular see-saw-like geometry to four In atoms. In the third S site, S is bonded in a distorted T-shaped geometry to three In atoms. In the fourth S site, S is bonded in a distorted rectangular see-saw-like geometry to one Mg and three In atoms. In the fifth S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the sixth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the seventh S site, S is bonded to four In atoms to form distorted corner-sharing SIn4 trigonal pyramids. In the eighth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the ninth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the tenth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the eleventh S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the twelfth S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the thirteenth S site, S is bonded in a distorted trigonal pyramidal geometry to one Mg and three In atoms. In the fourteenth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the fifteenth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the sixteenth S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the seventeenth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the eighteenth S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the nineteenth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twentieth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twenty-first S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twenty-second S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the twenty-third S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twenty-fourth S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the twenty-fifth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twenty-sixth S site, S is bonded in a distorted trigonal pyramidal geometry to one Mg and three In atoms. In the twenty-seventh S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twenty-eighth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twenty-ninth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the thirtieth S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the thirty-first S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the thirty-second S site, S is bonded in a distorted T-shaped geometry to three In atoms. In the thirty-third S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the thirty-fourth S site, S is bonded to four In atoms to form a mixture of distorted corner and edge-sharing SIn4 tetrahedra. In the thirty-fifth S site, S is bonded to four In atoms to form a mixture of distorted corner and edge-sharing SIn4 tetrahedra. In the thirty-sixth S site, S is bonded to four In atoms to form distorted edge-sharing SIn4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ba(Hf2As3)6 by Materials Project

Ba(Hf2As3)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to seven As+2.78- atoms. There are a spread of Ba–As bond distances ranging from 3.38–3.78 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight As+2.78- atoms. There are a spread of Ba–As bond distances ranging from 3.20–3.90 Å. There are twenty-four inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in a 6-coordinate geometry to six As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.59–2.97 Å. In the second Hf4+ site, Hf4+ is bonded in a 6-coordinate geometry to six As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.53–3.14 Å. In the third Hf4+ site, Hf4+ is bonded to seven As+2.78- atoms to form distorted HfAs7 pentagonal bipyramids that share a cornercorner with one HfAs6 octahedra, a cornercorner with one HfAs6 pentagonal pyramid, and an edgeedge with one HfAs7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 24°. There are a spread of Hf–As bond distances ranging from 2.62–3.02 Å. In the fourth Hf4+ site, Hf4+ is bonded in a 6-coordinate geometry to six As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.56–3.05 Å. In the fifth Hf4+ site, Hf4+ is bonded to five As+2.78- atoms to form HfAs5 square pyramids that share a cornercorner with one HfAs6 octahedra, a cornercorner with one HfAs7 pentagonal bipyramid, a cornercorner with one HfAs6 pentagonal pyramid, and edges with two HfAs5 square pyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Hf–As bond distances ranging from 2.57–2.91 Å. In the sixth Hf4+ site, Hf4+ is bonded in a 6-coordinate geometry to seven As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.60–3.41 Å. In the seventh Hf4+ site, Hf4+ is bonded in a 5-coordinate geometry to six As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.64–3.26 Å. In the eighth Hf4+ site, Hf4+ is bonded to five As+2.78- atoms to form distorted HfAs5 square pyramids that share a cornercorner with one HfAs7 pentagonal bipyramid, a cornercorner with one HfAs5 square pyramid, an edgeedge with one HfAs5 square pyramid, and a faceface with one HfAs6 pentagonal pyramid. There are a spread of Hf–As bond distances ranging from 2.52–2.86 Å. In the ninth Hf4+ site, Hf4+ is bonded to seven As+2.78- atoms to form distorted HfAs7 pentagonal bipyramids that share a cornercorner with one HfAs7 pentagonal bipyramid, edges with two HfAs6 octahedra, an edgeedge with one HfAs7 pentagonal bipyramid, and a faceface with one HfAs6 pentagonal pyramid. There are a spread of Hf–As bond distances ranging from 2.70–2.96 Å. In the tenth Hf4+ site, Hf4+ is bonded in a 6-coordinate geometry to six As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.65–3.28 Å. In the eleventh Hf4+ site, Hf4+ is bonded to six As+2.78- atoms to form distorted HfAs6 octahedra that share corners with two HfAs7 pentagonal bipyramids, an edgeedge with one HfAs6 octahedra, and an edgeedge with one HfAs7 pentagonal bipyramid. There are a spread of Hf–As bond distances ranging from 2.67–3.00 Å. In the twelfth Hf4+ site, Hf4+ is bonded to five As+2.78- atoms to form HfAs5 square pyramids that share a cornercorner with one HfAs6 octahedra, a cornercorner with one HfAs5 square pyramid, an edgeedge with one HfAs6 pentagonal pyramid, and an edgeedge with one HfAs5 square pyramid. The corner-sharing octahedral tilt angles are 33°. There are a spread of Hf–As bond distances ranging from 2.59–2.82 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to six As+2.78- atoms to form distorted HfAs6 pentagonal pyramids that share an edgeedge with one HfAs6 octahedra and faces with two HfAs7 pentagonal bipyramids. There are a spread of Hf–As bond distances ranging from 2.69–2.92 Å. In the fourteenth Hf4+ site, Hf4+ is bonded in a 5-coordinate geometry to five As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.68–2.74 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to seven As+2.78- atoms to form distorted HfAs7 pentagonal bipyramids that share a cornercorner with one HfAs6 octahedra, a cornercorner with one HfAs7 pentagonal bipyramid, corners with two HfAs5 square pyramids, a faceface with one HfAs6 octahedra, and a faceface with one HfAs6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 35°. There are a spread of Hf–As bond distances ranging from 2.67–2.86 Å. In the sixteenth Hf4+ site, Hf4+ is bonded in a distorted pentagonal planar geometry to five As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.68–2.81 Å. In the seventeenth Hf4+ site, Hf4+ is bonded to six As+2.78- atoms to form HfAs6 octahedra that share corners with two HfAs5 square pyramids, an edgeedge with one HfAs6 octahedra, an edgeedge with one HfAs7 pentagonal bipyramid, an edgeedge with one HfAs6 pentagonal pyramid, and a faceface with one HfAs7 pentagonal bipyramid. There are a spread of Hf–As bond distances ranging from 2.71–2.80 Å. In the eighteenth Hf4+ site, Hf4+ is bonded in a 7-coordinate geometry to eight As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.60–3.36 Å. In the nineteenth Hf4+ site, Hf4+ is bonded in a 6-coordinate geometry to six As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.58–2.95 Å. In the twentieth Hf4+ site, Hf4+ is bonded in a 5-coordinate geometry to five As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.54–3.16 Å. In the twenty-first Hf4+ site, Hf4+ is bonded in a 6-coordinate geometry to six As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.64–3.05 Å. In the twenty-second Hf4+ site, Hf4+ is bonded in a 5-coordinate geometry to six As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.53–3.55 Å. In the twenty-third Hf4+ site, Hf4+ is bonded in a 6-coordinate geometry to six As+2.78- atoms. There are a spread of Hf–As bond distances ranging from 2.56–3.16 Å. In the twenty-fourth Hf4+ site, Hf4+ is bonded to six As+2.78- atoms to form distorted HfAs6 pentagonal pyramids that share a cornercorner with one HfAs7 pentagonal bipyramid, a cornercorner with one HfAs5 square pyramid, an edgeedge with one HfAs5 square pyramid, and a faceface with one HfAs5 square pyramid. There are a spread of Hf–As bond distances ranging from 2.58–2.87 Å. There are thirty-six inequivalent As+2.78- sites. In the first As+2.78- site, As+2.78- is bonded in a distorted pentagonal planar geometry to one Ba2+ and four Hf4+ atoms. In the second As+2.78- site, As+2.78- is bonded in a 4-coordinate geometry to one Ba2+ and three Hf4+ atoms. In the third As+2.78- site, As+2.78- is bonded in a 6-coordinate geometry to four Hf4+ and two As+2.78- atoms. There are one shorter (2.54 Å) and one longer (2.57 Å) As–As bond lengths. In the fourth As+2.78- site, As+2.78- is bonded in a 2-coordinate geometry to one Ba2+, two Hf4+, and one As+2.78- atom. The As–As bond length is 2.49 Å. In the fifth As+2.78- site, As+2.78- is bonded in a 4-coordinate geometry to one Ba2+ and three Hf4+ atoms. In the sixth As+2.78- site, As+2.78- is bonded in a 3-coordinate geometry to three Hf4+ atoms. In the seventh As+2.78- site, As+2.78- is bonded in a 5-coordinate geometry to five Hf4+ atoms. In the eighth As+2.78- site, As+2.78- is bonded in a 3-coordinate geometry to four Hf4+ and one As+2.78- atom. The As–As bond length is 2.61 Å. In the ninth As+2.78- site, As+2.78- is bonded in a 4-coordinate geometry to one Ba2+ and three Hf4+ atoms. In the tenth As+2.78- site, As+2.78- is bonded in a 6-coordinate geometry to one Ba2+, four Hf4+, and one As+2.78- atom. In the eleventh As+2.78- site, As+2.78- is bonded in a 4-coordinate geometry to one Ba2+ and four Hf4+ atoms. In the twelfth As+2.78- site, As+2.78- is bonded to five Hf4+ atoms to form distorted corner-sharing AsHf5 trigonal bipyramids. In the thirteenth As+2.78- site, As+2.78- is bonded in a 3-coordinate geometry to four Hf4+ atoms. In the fourteenth As+2.78- site, As+2.78- is bonded in a distorted pentagonal planar geometry to five Hf4+ atoms. In the fifteenth As+2.78- site, As+2.78- is bonded to five Hf4+ atoms to form distorted AsHf5 trigonal bipyramids that share a cornercorner with one AsHf5 trigonal bipyramid and an edgeedge with one AsBaHf4 square pyramid. In the sixteenth As+2.78- site, As+2.78- is bonded to one Ba2+ and four Hf4+ atoms to form a mixture of distorted edge and corner-sharing AsBaHf4 square pyramids. In the seventeenth As+2.78- site, As+2.78- is bonded in a 6-coordinate geometry to one Ba2+ and six Hf4+ atoms. In the eighteenth As+2.78- site, As+2.78- is bonded in a 5-coordinate geometry to one Ba2+, three Hf4+, and one As+2.78- atom. The As–As bond length is 2.60 Å. In the nineteenth As+2.78- site, As+2.78- is bonded in a 4-coordinate geometry to four Hf4+ atoms. In the twentieth As+2.78- site, As+2.78- is bonded in a 5-coordinate geometry to one Ba2+ and four Hf4+ atoms. In the twenty-first As+2.78- site, As+2.78- is bonded in a 5-coordinate geometry to five Hf4+ atoms. In the twenty-second As+2.78- site, As+2.78- is bonded in a 1-coordinate geometry to two Hf4+ and one As+2.78- atom. The As–As bond length is 2.66 Å. In the twenty-third As+2.78- site, As+2.78- is bonded to five Hf4+ atoms to form distorted corner-sharing AsHf5 square pyramids. In the twenty-fourth As+2.78- site, As+2.78- is bonded in a 6-coordinate geometry to one Ba2+, four Hf4+, and one As+2.78- atom. In the twenty-fifth As+2.78- site, As+2.78- is bonded in a 4-coordinate geometry to three Hf4+ and one As+2.78- atom. In the twenty-sixth As+2.78- site, As+2.78- is bonded in a 4-coordinate geometry to four Hf4+ atoms. In the twenty-seventh As+2.78- site, As+2.78- is bonded to one Ba2+ and four Hf4+ atoms to form distorted corner-sharing AsBaHf4 square pyramids. In the twenty-eighth As+2.78- site, As+2.78- is bonded in a 2-coordinate geometry to one Ba2+, five Hf4+, and two As+2.78- atoms. The As–As bond length is 2.97 Å. In the twenty-ninth As+2.78- site, As+2.78- is bonded in a 5-coordinate geometry to six Hf4+ atoms. In the thirtieth As+2.78- site, As+2.78- is bonded in a 2-coordinate geometry to three Hf4+ atoms. In the thirty-first As+2.78- site, As+2.78- is bonded in a rectangular see-saw-like geometry to four Hf4+ atoms. In the thirty-second As+2.78- site, As+2.78- is bonded in a distorted rectangular see-saw-like geometry to four Hf4+ atoms. In the thirty-third As+2.78- site, As+2.78- is bonded in a 3-coordinate geometry to three Hf4+ and one As+2.78- atom. In the thirty-fourth As+2.78- site, As+2.78- is bonded in a 6-coordinate geometry to four Hf4+ and two As+2.78- atoms. In the thirty-fifth As+2.78- site, As+2.78- is bonded in a 4-coordinate geometry to four Hf4+ atoms. In the thirty-sixth As+2.78- site, As+2.78- is bonded in a 6-coordinate geometry to one Ba2+ and five Hf4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe3P8O29 by Materials Project

Li3Fe3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.16–2.48 Å. In the second Li site, Li is bonded to six O atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.16–2.48 Å. In the third Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the fourth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the sixth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. There are six inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.07 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.07 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.02 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.02 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.07 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.07 Å. There are sixteen inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–47°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–47°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the tenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the twelfth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the thirteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. In the fourteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–47°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the fifteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the sixteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–47°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. There are fifty-eight inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the second O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the third O site, O is bonded in a 3-coordinate geometry to two Li and one P atom. In the fourth O site, O is bonded in a single-bond geometry to one P atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the sixth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the eighth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the ninth O site, O is bonded in a distorted bent 120 degrees geometry to two P atoms. In the tenth O site, O is bonded in a 3-coordinate geometry to two Li and one P atom. In the eleventh O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twelfth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the thirteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the fourteenth O site, O is bonded in a 3-coordinate geometry to two Li and one P atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one Li and one P atom. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the seventeenth O site, O is bonded in a single-bond geometry to one P atom. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the nineteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Fe and one P atom. In the twentieth O site, O is bonded in a bent 150 degrees geometry to one Li and one P atom. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-second O site, O is bonded in a distorted bent 150 degrees geometry to two P atoms. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-fourth O site, O is bonded in a distorted bent 150 degrees geometry to two P atoms. In the twenty-fifth O site, O is bonded in a 3-coordinate geometry to two Li and one P atom. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-seventh O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-eighth O site, O is bonded in a bent 150 degrees geometry to one Li and one P atom. In the twenty-ninth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the thirtieth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the thirty-first O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the thirty-second O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the thirty-third O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the thirty-fourth O site, O is bonded in a distorted bent 120 degrees geometry to two P atoms. In

36 MATERIALS SCIENCE↗

Materials Data on Pr20AlSi19N33Cl2O19 by Materials Project

Pr20AlSi19N33O19Cl2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are fourteen inequivalent Pr sites. In the first Pr site, Pr is bonded to five N and three O atoms to form distorted PrN5O3 hexagonal bipyramids that share corners with two PrN3O4 pentagonal bipyramids, an edgeedge with one PrN5O3 hexagonal bipyramid, an edgeedge with one AlN2O2 tetrahedra, and edges with five SiN4 tetrahedra. There are a spread of Pr–N bond distances ranging from 2.53–2.83 Å. There are a spread of Pr–O bond distances ranging from 2.58–2.62 Å. In the second Pr site, Pr is bonded to three N and four O atoms to form distorted PrN3O4 pentagonal bipyramids that share corners with two equivalent PrN5O3 hexagonal bipyramids, a cornercorner with one SiN3O tetrahedra, an edgeedge with one AlN2O2 tetrahedra, and edges with three SiN3O tetrahedra. There are one shorter (2.45 Å) and two longer (2.59 Å) Pr–N bond lengths. There are a spread of Pr–O bond distances ranging from 2.45–2.86 Å. In the third Pr site, Pr is bonded in a 9-coordinate geometry to six N, two equivalent O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.49–3.10 Å. Both Pr–O bond lengths are 2.71 Å. The Pr–Cl bond length is 3.23 Å. In the fourth Pr site, Pr is bonded in a 7-coordinate geometry to four N and three O atoms. There are a spread of Pr–N bond distances ranging from 2.36–2.68 Å. There are a spread of Pr–O bond distances ranging from 2.45–2.75 Å. In the fifth Pr site, Pr is bonded in a 8-coordinate geometry to three N, four O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.55–2.66 Å. There are a spread of Pr–O bond distances ranging from 2.36–2.87 Å. The Pr–Cl bond length is 3.16 Å. In the sixth Pr site, Pr is bonded in a 6-coordinate geometry to six N and two equivalent O atoms. There are a spread of Pr–N bond distances ranging from 2.40–3.06 Å. Both Pr–O bond lengths are 2.71 Å. In the seventh Pr site, Pr is bonded to three N and four O atoms to form distorted PrN3O4 pentagonal bipyramids that share corners with two equivalent PrN5O3 hexagonal bipyramids, a cornercorner with one SiN4 tetrahedra, an edgeedge with one AlN2O2 tetrahedra, and edges with three SiN2O2 tetrahedra. There are one shorter (2.46 Å) and two longer (2.63 Å) Pr–N bond lengths. There are a spread of Pr–O bond distances ranging from 2.39–2.71 Å. In the eighth Pr site, Pr is bonded in a 8-coordinate geometry to four N and four O atoms. There are a spread of Pr–N bond distances ranging from 2.55–2.83 Å. There are a spread of Pr–O bond distances ranging from 2.47–2.59 Å. In the ninth Pr site, Pr is bonded in a 7-coordinate geometry to four N and three O atoms. There are a spread of Pr–N bond distances ranging from 2.47–2.63 Å. There are two shorter (2.46 Å) and one longer (2.68 Å) Pr–O bond lengths. In the tenth Pr site, Pr is bonded in a 9-coordinate geometry to six N, two equivalent O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.51–3.16 Å. Both Pr–O bond lengths are 2.69 Å. The Pr–Cl bond length is 3.17 Å. In the eleventh Pr site, Pr is bonded in a 7-coordinate geometry to four N and three O atoms. There are a spread of Pr–N bond distances ranging from 2.49–2.70 Å. There are a spread of Pr–O bond distances ranging from 2.41–2.48 Å. In the twelfth Pr site, Pr is bonded in a 8-coordinate geometry to five N, two O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.37–2.78 Å. Both Pr–O bond lengths are 2.45 Å. The Pr–Cl bond length is 3.20 Å. In the thirteenth Pr site, Pr is bonded in a 6-coordinate geometry to six N and two equivalent O atoms. There are a spread of Pr–N bond distances ranging from 2.43–3.04 Å. Both Pr–O bond lengths are 2.72 Å. In the fourteenth Pr site, Pr is bonded in a 7-coordinate geometry to five N and two O atoms. There are a spread of Pr–N bond distances ranging from 2.42–2.62 Å. There are one shorter (2.64 Å) and one longer (2.79 Å) Pr–O bond lengths. Al is bonded to two equivalent N and two O atoms to form AlN2O2 tetrahedra that share corners with two equivalent SiN3O tetrahedra, edges with two equivalent PrN5O3 hexagonal bipyramids, and edges with two PrN3O4 pentagonal bipyramids. Both Al–N bond lengths are 1.82 Å. There is one shorter (1.79 Å) and one longer (1.80 Å) Al–O bond length. There are eleven inequivalent Si sites. In the first Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one AlN2O2 tetrahedra, corners with two SiN3O tetrahedra, an edgeedge with one PrN5O3 hexagonal bipyramid, and an edgeedge with one PrN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.73 Å. The Si–O bond length is 1.68 Å. In the second Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three SiN4 tetrahedra and an edgeedge with one PrN5O3 hexagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.74 Å. The Si–O bond length is 1.67 Å. In the third Si site, Si is bonded to two equivalent N and two O atoms to form SiN2O2 tetrahedra that share corners with two equivalent SiN3O tetrahedra and edges with two PrN3O4 pentagonal bipyramids. Both Si–N bond lengths are 1.71 Å. There is one shorter (1.67 Å) and one longer (1.69 Å) Si–O bond length. In the fourth Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.71 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.69 Å. In the fifth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one PrN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.76 Å. The Si–O bond length is 1.68 Å. In the sixth Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There is two shorter (1.71 Å) and one longer (1.75 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the seventh Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.74 Å. The Si–O bond length is 1.68 Å. In the eighth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one PrN3O4 pentagonal bipyramid and corners with two equivalent SiN3O tetrahedra. There is one shorter (1.72 Å) and two longer (1.74 Å) Si–N bond length. The Si–O bond length is 1.71 Å. In the ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one PrN3O4 pentagonal bipyramid, corners with two equivalent SiN4 tetrahedra, and edges with two equivalent PrN5O3 hexagonal bipyramids. There are a spread of Si–N bond distances ranging from 1.74–1.76 Å. In the tenth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one PrN5O3 hexagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.74 Å. The Si–O bond length is 1.68 Å. In the eleventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one PrN5O3 hexagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.77 Å. There are twenty inequivalent N sites. In the first N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the second N site, N is bonded to two Pr and two equivalent Si atoms to form a mixture of distorted edge and corner-sharing NPr2Si2 tetrahedra. In the third N site, N is bonded in a 5-coordinate geometry to three Pr, one Al, and one Si atom. In the fourth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share corners with three NPr2Si2 tetrahedra, corners with three OPr3Si tetrahedra, and a cornercorner with one NPr2Si2 trigonal pyramid. In the fifth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share corners with two OPr3Si tetrahedra, corners with four NPr3Si tetrahedra, and a cornercorner with one NPr2Si2 trigonal pyramid. In the sixth N site, N is bonded in a distorted linear geometry to three Pr and two Si atoms. In the seventh N site, N is bonded to two Pr and two equivalent Si atoms to form distorted NPr2Si2 tetrahedra that share corners with two equivalent OPr3Si tetrahedra, corners with six NPr2Si2 trigonal pyramids, and an edgeedge with one NPr2Si2 tetrahedra. In the eighth N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the ninth N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the tenth N site, N is bonded to two Pr and two equivalent Si atoms to form distorted NPr2Si2 tetrahedra that share corners with six NPr2Si2 trigonal pyramids, an edgeedge with one NPr2Si2 tetrahedra, and edges with two equivalent OPr3Si tetrahedra. In the eleventh N site, N is bonded to four Pr and one Si atom to form distorted NPr4Si square pyramids that share corners with two equivalent NPr3Si2 trigonal bipyramids, a cornercorner with one OPr3Al trigonal pyramid, corners with two equivalent NPr2Si2 trigonal pyramids, edges with four OPr3Si tetrahedra, edges with two equivalent NPr3Si2 trigonal bipyramids, and an edgeedge with one NPr3Si trigonal pyramid. In the twelfth N site, N is bonded to three Pr and two Si atoms to form distorted NPr3Si2 trigonal bipyramids that share a cornercorner with one NPr4Si square pyramid, a cornercorner with one NPr3Si tetrahedra, corners with two OPr3Si tetrahedra, a cornercorner with one NPr3Si trigonal pyramid, an edgeedge with one NPr4Si square pyramid, edges with two OPr3Si tetrahedra, an edgeedge with one NPr3Si2 trigonal bipyramid, an edgeedge with one NPr2Si2 trigonal pyramid, and an edgeedge with one OPr3Si trigonal pyramid. In the thirteenth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share a cornercorner with one NPr4Si square pyramid, corners with three OPr3Si tetrahedra, corners with four NPr2Si2 tetrahedra, a cornercorner with one NPr2Si2 trigonal pyramid, an edgeedge with one OPr3Si tetrahedra, and an edgeedge with one NPr3Si2 trigonal bipyramid. In the fourteenth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share a cornercorner with one NPr4Si square pyramid, corners with three OPr3Si tetrahedra, corners with four NPr2Si2 tetrahedra, a cornercorner with one NPr2Si2 trigonal pyramid, and an edgeedge with one NPr3Si2 trigonal bipyramid. In the fifteenth N site, N is bonded to three Pr and two Si atoms to form distorted NPr3Si2 trigonal bipyramids that share a cornercorner with one NPr4Si square pyramid, a cornercorner with one NPr3Si tetrahedra, corners with two OPr3Si tetrahedra, corners with two OPr3Al trigonal pyramids, an edgeedge with one NPr4Si square pyramid, an edgeedge with one NPr3Si tetrahedra, an edgeedge with one NPr3Si2 trigonal bipyramid, and edges with two NPr3Si trigonal pyramids. In the sixteenth N site, N is bonded to three Pr and one Si atom to form distorted NPr3Si trigonal pyramids that share corners with two equivalent OPr3Si tetrahedra, corners with two equivalent NPr3Si2 trigonal bipyramids, an edgeedge with one NPr4Si square pyramid, edges with two equivalent NPr3Si2 trigonal bipyramids, and an edgeedge with one OPr3Al trigonal pyramid. In the seventeenth N site, N is bonded to four Pr and one Si atom to form distorted NPr4Si square pyramids that share corners with two equivalent OPr3Si tetrahedra, corners with two equivalent NPr3Si2 trigonal bipyramids, corners with two equivalent NPr2Si2 trigonal pyramids, edges with two equivalent NPr3Si tetrahedra, edges with two equivalent OPr3Si tetrahedra, edges with two

36 MATERIALS SCIENCE↗

Materials Data on Li10Ge(PO6)2 by Materials Project

Li10Ge(PO6)2 is Aluminum carbonitride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.47 Å. In the second Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.40 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.57 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one GeO4 tetrahedra, an edgeedge with one PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.06–2.32 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one GeO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–2.24 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 1.88–2.77 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO6 octahedra, corners with two PO4 tetrahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one GeO4 tetrahedra. The corner-sharing octahedral tilt angles are 31°. There are a spread of Li–O bond distances ranging from 1.87–2.29 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 2.00–2.51 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one GeO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Li–O bond distances ranging from 1.90–2.08 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, corners with two equivalent GeO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.45 Å. In the eleventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.50 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 1.92–2.64 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two GeO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–2.13 Å. In the fourteenth 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 1.99–2.57 Å. In the fifteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one GeO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two equivalent LiO4 trigonal pyramids, and an edgeedge with one PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–2.07 Å. In the sixteenth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.16 Å. In the seventeenth 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 1.91–2.19 Å. In the eighteenth 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 2.01–2.13 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.50 Å. In the twentieth 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 1.93–2.39 Å. There are two inequivalent Ge4+ sites. In the first Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with two LiO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Ge–O bond distances ranging from 1.77–1.80 Å. In the second Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Ge–O bond distances ranging from 1.77–1.80 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO4 tetrahedra and a cornercorner with one LiO4 trigonal pyramid. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 34–38°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four Li1+ and one P5+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to four Li1+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Ge4+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one Ge4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twelfth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form OLi3P tetrahedra that share a cornercorner with one OLi4Ge trigonal bipyramid, a cornercorner with one OLi4Ge trigonal pyramid, and an edgeedge with one OLi3P tetrahedra. In the thirteenth O2- site, O2- is bonded to four Li1+ and one P5+ atom to form distorted OLi4P trigonal bipyramids that share a cornercorner with one OLi4Ge trigonal bipyramid, a cornercorner with one OLi4Ge trigonal pyramid, and an edgeedge with one OLi3P trigonal pyramid. In the fourteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted OLi3P trigonal pyramids that share a cornercorner with one OLi4Ge trigonal bipyramid, a cornercorner with one OLi4Ge trigonal pyramid, and an edgeedge with one OLi4P trigonal bipyramid. In the fifteenth O2- site, O2- is bonded to four Li1+ and one Ge4+ atom to form distorted OLi4Ge trigonal bipyramids that share a cornercorner with one OLi3P tetrahedra and an edgeedge with one OLi4Ge trigonal bipyramid. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one Ge4+ atom. In the seventeenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted OLi3P tetrahedra that share corners with three OLi4Ge trigonal bipyramids and an edgeedge with one OLi3P tetrahedra. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded to four Li1+ and one Ge4+ atom to form distorted OLi4Ge trigonal pyramids that share a cornercorner with one OLi3P tetrahedra, a cornercorner with one OLi4P trigonal bipyramid, and a cornercorner with one OLi3P trigonal pyramid. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one Ge4+ atom. In the twenty-first O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Ge4+ atom. In the twenty-second O2- site, O2- is bonded to four Li1+ and one Ge4+ atom to form distorted OLi4Ge trigonal bipyramids that share corners with three OLi3P tetrahedra, a cornercorner with one OLi4P trigonal bipyramid, a cornercorner with one OLi3P trigonal pyramid, and an edgeedge with one OLi4Ge trigonal bipyramid. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li10Si(PSe6)2 by Materials Project

Li10Si(PSe6)2 is Aluminum carbonitride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five Se2- atoms. There are a spread of Li–Se bond distances ranging from 2.61–2.84 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six Se2- atoms. There are a spread of Li–Se bond distances ranging from 2.66–3.30 Å. In the third Li1+ site, Li1+ is bonded to six Se2- atoms to form distorted LiSe6 octahedra that share a cornercorner with one LiSe6 octahedra, corners with two equivalent PSe4 tetrahedra, corners with three LiSe4 tetrahedra, corners with two equivalent LiSe5 trigonal bipyramids, an edgeedge with one SiSe4 tetrahedra, an edgeedge with one PSe4 tetrahedra, and edges with two LiSe4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–Se bond distances ranging from 2.67–3.19 Å. In the fourth Li1+ site, Li1+ is bonded to six Se2- atoms to form LiSe6 octahedra that share corners with two equivalent PSe4 tetrahedra, corners with four LiSe4 tetrahedra, an edgeedge with one LiSe6 octahedra, an edgeedge with one SiSe4 tetrahedra, an edgeedge with one PSe4 tetrahedra, edges with four LiSe4 tetrahedra, and an edgeedge with one LiSe5 trigonal bipyramid. There are a spread of Li–Se bond distances ranging from 2.66–3.02 Å. In the fifth Li1+ site, Li1+ is bonded to four Se2- atoms to form LiSe4 tetrahedra that share corners with two equivalent LiSe6 octahedra, corners with two equivalent LiSe4 tetrahedra, corners with two PSe4 tetrahedra, an edgeedge with one LiSe6 octahedra, an edgeedge with one LiSe4 tetrahedra, an edgeedge with one SiSe4 tetrahedra, and an edgeedge with one LiSe5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 18–61°. There are a spread of Li–Se bond distances ranging from 2.47–2.61 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six Se2- atoms. There are a spread of Li–Se bond distances ranging from 2.65–3.34 Å. In the seventh Li1+ site, Li1+ is bonded to four Se2- atoms to form distorted LiSe4 tetrahedra that share a cornercorner with one LiSe6 octahedra, corners with two LiSe4 tetrahedra, corners with two PSe4 tetrahedra, corners with two LiSe5 trigonal bipyramids, an edgeedge with one LiSe6 octahedra, and an edgeedge with one SiSe4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. There are a spread of Li–Se bond distances ranging from 2.55–2.62 Å. In the eighth Li1+ site, Li1+ is bonded to six Se2- atoms to form LiSe6 octahedra that share a cornercorner with one LiSe6 octahedra, corners with two PSe4 tetrahedra, corners with six LiSe4 tetrahedra, an edgeedge with one LiSe6 octahedra, an edgeedge with one LiSe4 tetrahedra, an edgeedge with one SiSe4 tetrahedra, and an edgeedge with one PSe4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–Se bond distances ranging from 2.67–3.21 Å. In the ninth Li1+ site, Li1+ is bonded to four Se2- atoms to form LiSe4 tetrahedra that share corners with two LiSe6 octahedra, a cornercorner with one SiSe4 tetrahedra, a cornercorner with one PSe4 tetrahedra, corners with two equivalent LiSe4 tetrahedra, an edgeedge with one LiSe4 tetrahedra, and an edgeedge with one PSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–71°. There are a spread of Li–Se bond distances ranging from 2.50–2.64 Å. In the tenth Li1+ site, Li1+ is bonded to five Se2- atoms to form LiSe5 trigonal bipyramids that share corners with two equivalent LiSe6 octahedra, a cornercorner with one PSe4 tetrahedra, corners with two equivalent SiSe4 tetrahedra, corners with three LiSe4 tetrahedra, a cornercorner with one LiSe5 trigonal bipyramid, an edgeedge with one PSe4 tetrahedra, and edges with two LiSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of Li–Se bond distances ranging from 2.56–3.05 Å. In the eleventh Li1+ site, Li1+ is bonded to four Se2- atoms to form LiSe4 tetrahedra that share corners with four LiSe6 octahedra, a cornercorner with one SiSe4 tetrahedra, a cornercorner with one PSe4 tetrahedra, corners with two equivalent LiSe4 tetrahedra, an edgeedge with one LiSe4 tetrahedra, and an edgeedge with one PSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 17–68°. There are a spread of Li–Se bond distances ranging from 2.49–2.74 Å. In the twelfth Li1+ site, Li1+ is bonded to four Se2- atoms to form distorted LiSe4 tetrahedra that share corners with two LiSe6 octahedra, corners with two PSe4 tetrahedra, corners with four LiSe4 tetrahedra, a cornercorner with one LiSe5 trigonal bipyramid, an edgeedge with one SiSe4 tetrahedra, and an edgeedge with one LiSe5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–73°. There are a spread of Li–Se bond distances ranging from 2.60–2.80 Å. In the thirteenth Li1+ site, Li1+ is bonded to four Se2- atoms to form LiSe4 tetrahedra that share corners with two SiSe4 tetrahedra, corners with three LiSe4 tetrahedra, corners with three LiSe5 trigonal bipyramids, edges with two LiSe6 octahedra, and an edgeedge with one PSe4 tetrahedra. There are a spread of Li–Se bond distances ranging from 2.58–2.70 Å. In the fourteenth Li1+ site, Li1+ is bonded to four Se2- atoms to form LiSe4 tetrahedra that share corners with two equivalent LiSe4 tetrahedra, corners with two PSe4 tetrahedra, corners with two equivalent LiSe5 trigonal bipyramids, an edgeedge with one LiSe6 octahedra, an edgeedge with one LiSe4 tetrahedra, and an edgeedge with one SiSe4 tetrahedra. There are a spread of Li–Se bond distances ranging from 2.54–2.70 Å. In the fifteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four Se2- atoms. There are a spread of Li–Se bond distances ranging from 2.50–2.62 Å. In the sixteenth Li1+ site, Li1+ is bonded to five Se2- atoms to form distorted LiSe5 trigonal bipyramids that share a cornercorner with one PSe4 tetrahedra, corners with two SiSe4 tetrahedra, corners with seven LiSe4 tetrahedra, a cornercorner with one LiSe5 trigonal bipyramid, an edgeedge with one LiSe6 octahedra, an edgeedge with one LiSe4 tetrahedra, and an edgeedge with one PSe4 tetrahedra. There are a spread of Li–Se bond distances ranging from 2.61–3.05 Å. In the seventeenth Li1+ site, Li1+ is bonded to four Se2- atoms to form LiSe4 tetrahedra that share corners with two equivalent LiSe6 octahedra, corners with two SiSe4 tetrahedra, corners with four LiSe4 tetrahedra, a cornercorner with one LiSe5 trigonal bipyramid, an edgeedge with one LiSe6 octahedra, and an edgeedge with one PSe4 tetrahedra. The corner-sharing octahedral tilt angles are 24°. There are a spread of Li–Se bond distances ranging from 2.60–2.71 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four Se2- atoms. There are a spread of Li–Se bond distances ranging from 2.55–2.77 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five Se2- atoms. There are a spread of Li–Se bond distances ranging from 2.54–3.12 Å. In the twentieth Li1+ site, Li1+ is bonded to four Se2- atoms to form distorted LiSe4 tetrahedra that share a cornercorner with one SiSe4 tetrahedra, a cornercorner with one PSe4 tetrahedra, corners with three LiSe4 tetrahedra, a cornercorner with one LiSe5 trigonal bipyramid, an edgeedge with one LiSe6 octahedra, an edgeedge with one PSe4 tetrahedra, and an edgeedge with one LiSe5 trigonal bipyramid. There are a spread of Li–Se bond distances ranging from 2.61–2.71 Å. There are two inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four Se2- atoms to form SiSe4 tetrahedra that share corners with four LiSe4 tetrahedra, a cornercorner with one LiSe5 trigonal bipyramid, an edgeedge with one LiSe6 octahedra, and edges with two LiSe4 tetrahedra. There are a spread of Si–Se bond distances ranging from 2.30–2.32 Å. In the second Si4+ site, Si4+ is bonded to four Se2- atoms to form SiSe4 tetrahedra that share corners with three LiSe4 tetrahedra, corners with three LiSe5 trigonal bipyramids, edges with two LiSe6 octahedra, and edges with two LiSe4 tetrahedra. There are a spread of Si–Se bond distances ranging from 2.28–2.33 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four Se2- atoms to form PSe4 tetrahedra that share corners with three LiSe6 octahedra and corners with four LiSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of P–Se bond distances ranging from 2.21–2.25 Å. In the second P5+ site, P5+ is bonded to four Se2- atoms to form PSe4 tetrahedra that share corners with three LiSe6 octahedra, corners with three LiSe4 tetrahedra, edges with two LiSe4 tetrahedra, and edges with two LiSe5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 29–58°. There are a spread of P–Se bond distances ranging from 2.22–2.25 Å. In the third P5+ site, P5+ is bonded to four Se2- atoms to form PSe4 tetrahedra that share corners with two LiSe4 tetrahedra, corners with two LiSe5 trigonal bipyramids, and an edgeedge with one LiSe4 tetrahedra. There are a spread of P–Se bond distances ranging from 2.23–2.25 Å. In the fourth P5+ site, P5+ is bonded to four Se2- atoms to form PSe4 tetrahedra that share corners with two LiSe4 tetrahedra, edges with three LiSe6 octahedra, and edges with two LiSe4 tetrahedra. There are a spread of P–Se bond distances ranging from 2.23–2.25 Å. There are twenty-four inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the second Se2- site, Se2- is bonded to four Li1+ and one P5+ atom to form distorted SeLi4P square pyramids that share a cornercorner with one SeLi4P square pyramid, corners with two SeLi4P trigonal bipyramids, a cornercorner with one SeLi3P trigonal pyramid, and edges with three SeLi4P trigonal bipyramids. In the third Se2- site, Se2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fourth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fifth Se2- site, Se2- is bonded in a 6-coordinate geometry to five Li1+ and one P5+ atom. In the sixth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the seventh Se2- site, Se2- is bonded to four Li1+ and one P5+ atom to form distorted SeLi4P trigonal bipyramids that share corners with two SeLi3P trigonal pyramids, an edgeedge with one SeLi4P square pyramid, and edges with two SeLi4P trigonal bipyramids. In the eighth Se2- site, Se2- is bonded in a distorted see-saw-like geometry to three Li1+ and one P5+ atom. In the ninth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Li1+ and one Si4+ atom. In the tenth Se2- site, Se2- is bonded in a 6-coordinate geometry to five Li1+ and one Si4+ atom. In the eleventh Se2- site, Se2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the twelfth Se2- site, Se2- is bonded to three Li1+ and one P5+ atom to form SeLi3P trigonal pyramids that share a cornercorner with one SeLi4P square pyramid, corners with two SeLi4Si trigonal bipyramids, and an edgeedge with one SeLi3P trigonal pyramid. In the thirteenth Se2- site, Se2- is bonded to four Li1+ and one P5+ atom to form distorted SeLi4P trigonal bipyramids that share a cornercorner with one SeLi4P square pyramid, corners with two SeLi4Si trigonal bipyramids, edges with two SeLi4P square pyramids, edges with two SeLi4P trigonal bipyramids, and an edgeedge with one SeLi3P trigonal pyramid. In the fourteenth Se2- site, Se2- is bonded to three Li1+ and one P5+ atom to form a mixture of edge and corner-sharing SeLi3P trigonal pyramids. In the fifteenth Se2- site, Se2- is bonded in a 5-coordinate

36 MATERIALS SCIENCE↗

Materials Data on Bi25BO39 by Materials Project

BBi25O39 is Antimony trioxide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. There are twenty-five inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.35 Å. In the second Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.96 Å. In the third Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.88 Å. In the fourth Bi3+ site, Bi3+ is bonded to four O2- atoms to form distorted BiO4 trigonal pyramids that share a cornercorner with one BiO5 square pyramid and a cornercorner with one BiO4 trigonal pyramid. There are a spread of Bi–O bond distances ranging from 2.17–2.53 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.15 Å. In the sixth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share a cornercorner with one BiO5 square pyramid, a cornercorner with one BiO4 trigonal pyramid, and an edgeedge with one BiO5 trigonal bipyramid. There are a spread of Bi–O bond distances ranging from 2.10–2.93 Å. In the seventh Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.62 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.33 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.73 Å. In the tenth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.50 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.22–2.65 Å. In the twelfth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.10–2.54 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.21–2.77 Å. In the fourteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.49 Å. In the fifteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.16–2.63 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.63 Å. In the seventeenth Bi3+ site, Bi3+ is bonded to four O2- atoms to form distorted BiO4 trigonal pyramids that share a cornercorner with one BiO5 square pyramid and a cornercorner with one BiO4 trigonal pyramid. There are a spread of Bi–O bond distances ranging from 2.13–2.57 Å. In the eighteenth Bi3+ site, Bi3+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.06–2.22 Å. In the nineteenth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.90 Å. In the twentieth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.95 Å. In the twenty-first Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.54 Å. In the twenty-second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.64 Å. In the twenty-third Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted edge-sharing BiO5 trigonal bipyramids. There are a spread of Bi–O bond distances ranging from 2.15–2.67 Å. In the twenty-fourth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.80 Å. In the twenty-fifth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.39 Å. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Bi3+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Bi3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to one B3+ and one Bi3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the twenty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two Bi3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one B3+ and three Bi3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the thirty-second O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one B3+ and two Bi3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to four Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na11Ti8(PO4)12 by Materials Project

Na11Ti8(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.23–2.40 Å. In the second Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.39 Å. In the third Na1+ site, Na1+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.80 Å. In the fourth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.17–2.70 Å. In the fifth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.35 Å. In the sixth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.40 Å. In the seventh Na1+ site, Na1+ is bonded in a 4-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.18–2.99 Å. In the eighth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.22–2.80 Å. In the ninth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.22–2.81 Å. In the tenth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.40 Å. In the eleventh Na1+ site, Na1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.17–2.77 Å. There are eight inequivalent Ti+3.12+ sites. In the first Ti+3.12+ site, Ti+3.12+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.15 Å. In the second Ti+3.12+ site, Ti+3.12+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.09 Å. In the third Ti+3.12+ site, Ti+3.12+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.18 Å. In the fourth Ti+3.12+ site, Ti+3.12+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.10 Å. In the fifth Ti+3.12+ site, Ti+3.12+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.16 Å. In the sixth Ti+3.12+ site, Ti+3.12+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. In the seventh Ti+3.12+ site, Ti+3.12+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.20 Å. In the eighth Ti+3.12+ site, Ti+3.12+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.15 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–33°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–34°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–34°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–36°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–34°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–36°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–34°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–32°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–36°. There is one shorter (1.53 Å) and three longer (1.56 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–37°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–37°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–39°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Ti+3.12+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one Ti+3.12+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.12+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.12+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.12+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ti+3.12+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to one Ti+3.12+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Ti+3.12+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.12+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+, one Ti+3.12+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the forty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.12+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+, one Ti+3.12+, and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti+3.12+, and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a distorted linear geometry to one Ti+3.12+ and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a distorted linear

36 MATERIALS SCIENCE↗

Materials Data on Li5MnV3O8 by Materials Project

Li5V3MnO8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.88 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.10–2.41 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.10–2.39 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.09–2.38 Å. In the fifth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.88 Å) and one longer (1.89 Å) Li–O bond length. In the sixth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.88 Å) and one longer (1.89 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.10–2.39 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.10–2.40 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.10–2.40 Å. In the tenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.88 Å) and one longer (1.89 Å) Li–O bond length. In the eleventh Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.88 Å) and one longer (1.89 Å) Li–O bond length. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.10–2.40 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.10–2.41 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.10–2.41 Å. In the fifteenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.88 Å. In the sixteenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.88 Å. In the seventeenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.10–2.41 Å. In the eighteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.10–2.39 Å. In the nineteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.09–2.39 Å. In the twentieth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.88 Å. There are twelve inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two MnO6 octahedra, edges with four VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of V–O bond distances ranging from 2.05–2.12 Å. In the second V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two MnO6 octahedra, edges with four VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of V–O bond distances ranging from 2.05–2.12 Å. In the third V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two MnO6 octahedra, edges with four VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of V–O bond distances ranging from 2.04–2.12 Å. In the fourth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two MnO6 octahedra, edges with four VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of V–O bond distances ranging from 2.05–2.12 Å. In the fifth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two MnO6 octahedra, edges with four VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of V–O bond distances ranging from 2.06–2.12 Å. In the sixth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two MnO6 octahedra, edges with four VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of V–O bond distances ranging from 2.06–2.11 Å. In the seventh V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two MnO6 octahedra, edges with four VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of V–O bond distances ranging from 2.06–2.11 Å. In the eighth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two MnO6 octahedra, edges with four VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of V–O bond distances ranging from 2.05–2.12 Å. In the ninth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two MnO6 octahedra, edges with four VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of V–O bond distances ranging from 2.06–2.11 Å. In the tenth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two MnO6 octahedra, edges with four VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of V–O bond distances ranging from 2.05–2.11 Å. In the eleventh V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two MnO6 octahedra, edges with four VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of V–O bond distances ranging from 2.04–2.13 Å. In the twelfth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with two MnO6 octahedra, edges with four VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of V–O bond distances ranging from 2.06–2.09 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.22 Å) and two longer (2.23 Å) Mn–O bond lengths. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Mn–O bond distances ranging from 2.21–2.23 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are five shorter (2.22 Å) and one longer (2.23 Å) Mn–O bond lengths. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Mn–O bond distances ranging from 2.21–2.23 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two V3+, and one Mn2+ atom to form distorted OLi3MnV2 octahedra that share corners with seven OLi3V3 octahedra and edges with ten OLi3MnV2 octahedra. The corner-sharing octahedra tilt

36 MATERIALS SCIENCE↗

Materials Data on LiMnV(P2O7)2 by Materials Project

LiVMn(P2O7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first 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 1.99–2.16 Å. In the second 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 1.99–2.17 Å. In the third 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 1.99–2.17 Å. In the fourth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.07 Å. There are four inequivalent V5+ sites. In the first V5+ site, V5+ 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 1.92–2.01 Å. In the second V5+ site, V5+ 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 1.90–2.03 Å. In the third V5+ site, V5+ 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 1.91–2.01 Å. In the fourth V5+ site, V5+ 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 1.91–2.02 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ 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 1.94–2.26 Å. In the second Mn2+ site, Mn2+ 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 1.93–2.24 Å. In the third Mn2+ site, Mn2+ 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 1.93–2.25 Å. In the fourth Mn2+ site, Mn2+ 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 1.95–2.27 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 VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of P–O bond distances ranging from 1.52–1.62 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, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–48°. There are a spread of P–O bond distances ranging from 1.49–1.63 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, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–48°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There is three shorter (1.53 Å) and one longer (1.61 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–46°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–53°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There is three shorter (1.53 Å) and one longer (1.63 Å) P–O bond length. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 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 1.52–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–49°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a d

36 MATERIALS SCIENCE↗

Materials Data on Li3MnFeCo(PO4)3 by Materials Project

Li3MnFeCo(PO4)3 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.13–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.12–2.21 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.10–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.12–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.12–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.28 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.26 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Fe–O bond distances ranging from 2.09–2.18 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.22 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.11–2.22 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.09–2.22 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.10–2.21 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.10–2.22 Å. There are twelve 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 CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. 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 a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. 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 a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. 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 two equivalent LiO6 octahedra, corners with four FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 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 CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bo

36 MATERIALS SCIENCE↗

Materials Data on Li3V3P8O29 by Materials Project

Li3V3P8O29 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 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 68–72°. There are a spread of Li–O bond distances ranging from 1.94–2.31 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 1.88–2.45 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 1.85–2.55 Å. In the fourth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.20 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 1.85–2.63 Å. In the sixth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.03 Å. There are six inequivalent V5+ sites. In the first V5+ site, V5+ 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 1.84–2.05 Å. In the second V5+ site, V5+ 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 1.84–2.00 Å. In the third V5+ site, V5+ 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 1.84–2.00 Å. In the fourth V5+ site, V5+ 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 1.85–2.07 Å. In the fifth V5+ site, V5+ 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 1.85–2.09 Å. In the sixth V5+ site, V5+ 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 1.85–2.03 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 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 1.48–1.62 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 40–45°. There are a spread of P–O bond distances ranging from 1.47–1.63 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the fourth 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 21–23°. There is one shorter (1.48 Å) and three longer (1.58 Å) P–O bond length. 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 33–37°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the sixth 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 1.48–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–37°. There are a spread of P–O bond distances ranging from 1.47–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–39°. 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 VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–45°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra 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 1.48–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 26–27°. There is one shorter (1.48 Å) and three longer (1.58 Å) P–O bond length. In the thirteenth 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 28–31°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–38°. There are a spread of P–O bond distances ranging from 1.47–1.61 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 35–38°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–39°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V5+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V5+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ 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 linear geometry to one Li1+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ 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 bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the forty-third O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to on

36 MATERIALS SCIENCE↗

Materials Data on Li4TiV8O18 by Materials Project

Li4TiV8O18 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 to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent TiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–75°. There are a spread of Li–O bond distances ranging from 2.13–2.21 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.19–2.60 Å. In the third Li1+ site, Li1+ is bonded in a 2-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.18–2.61 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent TiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–75°. There are a spread of Li–O bond distances ranging from 2.11–2.33 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.61 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 2.22–2.58 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 2.20–2.42 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, corners with four VO6 octahedra, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 12–73°. There are a spread of Li–O bond distances ranging from 2.08–2.39 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, edges with two equivalent VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.90–2.15 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, edges with two equivalent VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.14 Å. There are sixteen inequivalent V+3.50+ sites. In the first V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO5 trigonal bipyramids, edges with six VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of V–O bond distances ranging from 1.90–2.01 Å. In the second V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of V–O bond distances ranging from 1.85–2.09 Å. In the third V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 47–66°. There are a spread of V–O bond distances ranging from 1.97–2.04 Å. In the fourth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of V–O bond distances ranging from 1.98–2.07 Å. In the fifth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 1.90–2.05 Å. In the sixth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 1.93–1.99 Å. In the seventh V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of V–O bond distances ranging from 1.84–2.03 Å. In the eighth V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of V–O bond distances ranging from 1.99–2.04 Å. In the ninth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and edges with four VO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of V–O bond distances ranging from 1.89–2.12 Å. In the tenth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with six VO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.84–2.03 Å. In the eleventh V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–64°. There are a spread of V–O bond distances ranging from 1.95–2.06 Å. In the twelfth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of V–O bond distances ranging from 1.98–2.07 Å. In the thirteenth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the fourteenth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.92–2.05 Å. In the fifteenth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent VO5 square pyramids, and edges with four VO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of V–O bond distances ranging from 2.01–2.05 Å. In the sixteenth V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 47–65°. There are a spread of V–O bond distances ranging from 1.97–2.03 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.50+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three V+3.50+ atoms. In the third O2- site, O2- is bonded in a square co-planar geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.50+ atoms to form OLi2V3 square pyramids that share corners with four OLiV3 trigonal pyramids and edges with two equivalent OLi2V3 square pyramids. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three V+3.50+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three V+3.50+ atoms to form distorted OLiV3 trigonal pyramids that share corners with four OLi2V3 trigonal bipyramids and corners with two equivalent OLiV3 trigonal pyramids. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three V+3.50+ atoms to form a mixture of edge and corner-sharing OLi2V3 square pyramids. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three V+3.50+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti4+ and two equivalent V+3.50+ atoms. In the tenth O2- site, O2- is bonded to one Li1+ and three V+3.50+ atoms to form distorted OLiV3 trigonal pyramids that share corners with two equivalent OLi2V3 square pyramids, corners with two equivalent OLiV3 trigonal pyramids, and edges with two equivalent OLi2V3 square pyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.50+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti4+ and two equivalent V+3.50+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three V+3.50+ atoms. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.50+ atoms to form OLi2V3 square pyramids that share corners with two equivalent OLi2V3 square pyramids, edges with three OLi2V3 square pyramids, and edges with two equivalent OLiV3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+ and three V+3.50+ atoms to form distorted OLiV3 trigonal pyramids that share corners with two equivalent OLi2V3 square pyramids, corners with two equivalent OLi2Ti2V trigonal bipyramids, and corners with two equivalent OLiV3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.50+ atoms. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.50+ atoms to form distorted OLi2V3 trigonal bipyramids that share corners with two equivalent OLiV3 trigonal pyramids and edges with two equivalent OLi2V3 trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a square co-planar geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+3.50+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+3.50+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent V+3.50+ atoms. In the twenty-second O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one V+3.50+ atom to form distorted OLi2Ti2V trigonal bipyramids that share corners with two equivalent OLi2V3 trigonal bipyramids, corners with two equivalent OLiV3 trigonal pyramids, and edges with three OLi2Ti2V tr

36 MATERIALS SCIENCE↗

Materials Data on Li24Mn11CrO36 by Materials Project

Li24CrMn11O36 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.08 Å) and two longer (2.11 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.02–2.18 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.08 Å) and two longer (2.10 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.02–2.18 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.08 Å) and two longer (2.10 Å) Li–O bond lengths. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.03–2.19 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are two shorter (2.03 Å) and four longer (2.17 Å) Li–O bond lengths. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Li–O bond distances ranging from 2.07–2.10 Å. In the sixteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the seventeenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.03–2.19 Å. In the eighteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the nineteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the twentieth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are two shorter (2.03 Å) and four longer (2.17 Å) Li–O bond lengths. In the twenty-first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the twenty-second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are four shorter (2.08 Å) and two longer (2.10 Å) Li–O bond lengths. In the twenty-third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are four shorter (2.08 Å) and two longer (2.10 Å) Li–O bond lengths. In the twenty-fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Cr–O bond distances ranging from 1.90–1.98 Å. There are eleven inequivalent Mn+3.82+ sites. In the first Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the second Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the third Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the fourth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the fifth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the sixth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the seventh Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the eighth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Mn–O b

36 MATERIALS SCIENCE↗