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Materials Data on K3Nb4Mo4(PO4)12 by Materials Project

K3Nb4Mo4(PO4)12 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.83–3.19 Å. In the second K1+ site, K1+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.81–3.46 Å. In the third K1+ site, K1+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.82–3.46 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra and corners with five PO4 tetrahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Nb–O bond distances ranging from 1.93–2.09 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra and corners with five PO4 tetrahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Nb–O bond distances ranging from 1.93–2.10 Å. There are two inequivalent Mo+3.25+ sites. In the first Mo+3.25+ site, Mo+3.25+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO6 octahedra and corners with five PO4 tetrahedra. The corner-sharing octahedral tilt angles are 36°. There are a spread of Mo–O bond distances ranging from 1.95–2.19 Å. In the second Mo+3.25+ site, Mo+3.25+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MoO6 octahedra and corners with five PO4 tetrahedra. The corner-sharing octahedral tilt angles are 36°. There are a spread of Mo–O bond distances ranging from 1.96–2.16 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NbO6 octahedra and corners with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 28–31°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NbO6 octahedra and corners with two MoO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MoO6 octahedra, corners with two NbO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–43°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with two MoO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–41°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with two MoO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–40°. There are a spread of P–O bond distances ranging from 1.50–1.64 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MoO6 octahedra, corners with two NbO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mo+3.25+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo+3.25+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Nb5+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Mo+3.25+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Mo+3.25+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Nb5+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo+3.25+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo+3.25+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two K1+ and two equivalent Mo+3.25+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two K1+ and two equivalent Mo+3.25+ atoms. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent P5+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two equivalent P5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one K1+ and two equivalent P5+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two equivalent P5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Nb5+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Mo+3.25+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Mo+3.25+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Mo+3.25+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Mo+3.25+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Nb5+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Lu2(TeO3)3 by Materials Project

Lu2(TeO3)3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Lu–O bond distances ranging from 2.22–2.49 Å. In the second Lu3+ site, Lu3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Lu–O bond distances ranging from 2.20–2.78 Å. In the third Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.19–2.68 Å. In the fourth Lu3+ site, Lu3+ is bonded in a distorted pentagonal bipyramidal geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.20–2.49 Å. In the fifth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.11–2.61 Å. In the sixth Lu3+ site, Lu3+ is bonded in a distorted pentagonal bipyramidal geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.24–2.52 Å. There are nine inequivalent Te4+ sites. In the first Te4+ site, Te4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Te–O bond distances ranging from 1.94–2.87 Å. In the second Te4+ site, Te4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Te–O bond distances ranging from 1.92–2.56 Å. In the third Te4+ site, Te4+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.90–2.71 Å. In the fourth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.90–2.54 Å. In the fifth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–1.97 Å. In the sixth Te4+ site, Te4+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–2.38 Å. In the seventh Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There is one shorter (1.88 Å) and two longer (1.93 Å) Te–O bond length. In the eighth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–1.93 Å. In the ninth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–1.91 Å. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Lu3+ and one Te4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Lu3+ and one Te4+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Lu3+ and one Te4+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Lu3+ and one Te4+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Lu3+ and one Te4+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Lu3+ and one Te4+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Lu3+ and one Te4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Te4+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Lu3+ and one Te4+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Lu3+ and one Te4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Lu3+ and one Te4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+ and two Te4+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+ and two Te4+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Lu3+ and one Te4+ atom. In the fifteenth O2- site, O2- is bonded to three Lu3+ and one Te4+ atom to form distorted edge-sharing OLu3Te tetrahedra. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Lu3+ and one Te4+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Lu3+ and one Te4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Lu3+ and one Te4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Lu3+ and one Te4+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Lu3+ and two Te4+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Lu3+ and two Te4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Lu3+ and one Te4+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Lu3+ and two Te4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Lu3+ and one Te4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Lu3+ and one Te4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Lu3+ and two Te4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Lu3+ and one Te4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn(PO3)3 by Materials Project

LiMn(PO3)3 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.50 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 1.94–2.67 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.62 Å. There are three 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 2.12–2.37 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 2.15–2.28 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 2.10–2.31 Å. There are nine inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 23–43°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of P–O bond distances ranging from 1.49–1.64 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–39°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.49–1.64 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–43°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–49°. There are a spread of P–O bond distances ranging from 1.49–1.64 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–46°. There are a spread of P–O bond distances ranging from 1.48–1.68 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–43°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two P5+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two P5+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two P5+ atoms. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, 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 two P5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two P5+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, 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 3-coordinate geometry to one Li1+ and two P5+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. 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 2-coordinate geometry to one Li1+ and two P5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn8(BO3)8 by Materials Project

Li5Mn8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.62 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.19 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.16 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.13 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.18 Å. There are eight inequivalent Mn+2.38+ sites. In the first Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.06 Å. In the second Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.04 Å. In the third Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.39 Å. In the fourth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.24 Å. In the fifth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.23 Å. In the sixth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.19 Å. In the seventh Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.20 Å. In the eighth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.26 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.41 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.42 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.41 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.38+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.38+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.38+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.38+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.38+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.38+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.11 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.07 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.12 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.14 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.15 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three equivalent LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.19 Å. In the fourth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.12 Å. In the fifth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three equivalent LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.25 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.25 Å. In the seventh Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.29 Å. In the eighth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.30 Å. There are eight inequivalent B3+ sites. In the first B3+ site, 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. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the seventh B3+ site, 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. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the tenth O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.38+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Nd2Ti2O7 by Materials Project

Nd2Ti2O7 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are eight inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Nd–O bond distances ranging from 2.35–2.95 Å. In the second Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.35–2.59 Å. In the third Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nd–O bond distances ranging from 2.33–2.45 Å. In the fourth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.67 Å. In the fifth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.67 Å. In the sixth Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nd–O bond distances ranging from 2.33–2.45 Å. In the seventh Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.35–2.59 Å. In the eighth Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Nd–O bond distances ranging from 2.35–2.95 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–47°. There are a spread of Ti–O bond distances ranging from 1.82–2.39 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–42°. There are a spread of Ti–O bond distances ranging from 1.83–2.34 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–47°. There are a spread of Ti–O bond distances ranging from 1.78–2.35 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–42°. There are a spread of Ti–O bond distances ranging from 1.86–2.28 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–42°. There are a spread of Ti–O bond distances ranging from 1.86–2.27 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–47°. There are a spread of Ti–O bond distances ranging from 1.78–2.34 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–42°. There are a spread of Ti–O bond distances ranging from 1.83–2.34 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–47°. There are a spread of Ti–O bond distances ranging from 1.82–2.39 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to three Nd3+ and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a 5-coordinate geometry to three Nd3+ and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to one Nd3+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded to two Nd3+ and two Ti4+ atoms to form a mixture of distorted edge and corner-sharing ONd2Ti2 tetrahedra. In the fifth O2- site, O2- is bonded to two Nd3+ and two Ti4+ atoms to form a mixture of distorted edge and corner-sharing ONd2Ti2 tetrahedra. In the sixth O2- site, O2- is bonded to two Nd3+ and two Ti4+ atoms to form a mixture of distorted edge and corner-sharing ONd2Ti2 tetrahedra. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and one Ti4+ atom. In the twelfth O2- site, O2- is bonded to three Nd3+ and one Ti4+ atom to form distorted ONd3Ti tetrahedra that share corners with seven ONd2Ti2 tetrahedra and edges with three ONd3Ti tetrahedra. In the thirteenth O2- site, O2- is bonded to three Nd3+ and one Ti4+ atom to form distorted ONd3Ti tetrahedra that share corners with five ONd2Ti2 tetrahedra and edges with four ONd3Ti tetrahedra. In the fourteenth O2- site, O2- is bonded to three Nd3+ and one Ti4+ atom to form distorted ONd3Ti tetrahedra that share corners with nine ONd2Ti2 tetrahedra and an edgeedge with one ONd3Ti tetrahedra. In the fifteenth O2- site, O2- is bonded to three Nd3+ and one Ti4+ atom to form distorted ONd3Ti tetrahedra that share corners with seven ONd2Ti2 tetrahedra and edges with three ONd3Ti tetrahedra. In the sixteenth O2- site, O2- is bonded to three Nd3+ and one Ti4+ atom to form distorted ONd3Ti tetrahedra that share corners with five ONd2Ti2 tetrahedra and edges with four ONd3Ti tetrahedra. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and one Ti4+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Nd3+ and two equivalent Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Nd3+ and two equivalent Ti4+ atoms. In the twentieth O2- site, O2- is bonded to two Nd3+ and two Ti4+ atoms to form a mixture of distorted edge and corner-sharing ONd2Ti2 tetrahedra. In the twenty-first O2- site, O2- is bonded to two Nd3+ and two Ti4+ atoms to form a mixture of distorted edge and corner-sharing ONd2Ti2 tetrahedra. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded to three Nd3+ and one Ti4+ atom to form distorted ONd3Ti tetrahedra that share corners with nine ONd2Ti2 tetrahedra and an edgeedge with one ONd3Ti tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Rb3B7O12 by Materials Project

Rb3B7O12 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 2-coordinate geometry to seven O2- atoms. There are a spread of Rb–O bond distances ranging from 2.89–3.40 Å. In the second Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Rb–O bond distances ranging from 3.04–3.42 Å. In the third Rb1+ site, Rb1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Rb–O bond distances ranging from 2.84–3.14 Å. In the fourth Rb1+ site, Rb1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Rb–O bond distances ranging from 2.84–2.96 Å. In the fifth Rb1+ site, Rb1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Rb–O bond distances ranging from 2.93–3.06 Å. In the sixth Rb1+ site, Rb1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 2.88–3.27 Å. There are fourteen inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.39 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the third B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.43–1.53 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fifth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.51 Å. In the sixth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.51 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the eighth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.51 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.40 Å) B–O bond length. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 Å) and two longer (1.39 Å) B–O bond length. In the eleventh B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.53 Å. In the twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the thirteenth B3+ site, B3+ is bonded to four O2- atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.50 Å. In the fourteenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+ and two B3+ atoms. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Rb1+ and two B3+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+ and two B3+ atoms. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two Rb1+ and two B3+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Rb1+ and two B3+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Rb1+ and two B3+ atoms. In the seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+ and two B3+ atoms. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Rb1+ and two B3+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+ and two B3+ atoms. In the tenth O2- site, O2- is bonded in a bent 120 degrees geometry to two Rb1+ and two B3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two equivalent Rb1+ and two B3+ atoms. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to three Rb1+ and two B3+ atoms. In the thirteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Rb1+ and two B3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+ and two B3+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two Rb1+ and two B3+ atoms. In the sixteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two equivalent Rb1+ and two B3+ atoms. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to two Rb1+ and two B3+ atoms. In the eighteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two Rb1+ and two B3+ atoms. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two equivalent Rb1+ and two B3+ atoms. In the twentieth O2- site, O2- is bonded in a bent 120 degrees geometry to two Rb1+ and two B3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+ and two B3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Rb1+ and two B3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Rb1+ and two B3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two equivalent Rb1+ and two B3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg(FeO2)2 by Materials Project

MgFe2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There is two shorter (1.98 Å) and two longer (2.01 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.11 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Mg–O bond distances ranging from 1.99–2.02 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.11 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent FeO6 octahedra. There are two shorter (2.09 Å) and four longer (2.10 Å) Mg–O bond lengths. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. All Mg–O bond lengths are 2.10 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.11 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. There are three shorter (2.09 Å) and three longer (2.11 Å) Mg–O bond lengths. There are twelve inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three MgO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.11 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.11 Å. In the third Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Fe–O bond distances ranging from 1.92–1.98 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four FeO4 tetrahedra, edges with three MgO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There is three shorter (1.93 Å) and one longer (1.99 Å) Fe–O bond length. In the sixth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Fe–O bond distances ranging from 1.91–1.97 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the eighth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.91–1.98 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three MgO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.10 Å. In the tenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Fe–O bond distances ranging from 1.91–1.98 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.10 Å. In the twelfth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Fe–O bond distances ranging from 1.93–1.99 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Fe3+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the fourth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted corner and edge-sharing OFe4 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the sixth O2- site, O2- is bonded to one Mg2+ and three Fe3+ atoms to form distorted OMgFe3 trigonal pyramids that share corners with two OFe4 trigonal pyramids and edges with three OMgFe3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the eighth O2- site, O2- is bonded to one Mg2+ and three Fe3+ atoms to form a mixture of distorted corner and edge-sharing OMgFe3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the nineteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Fe3+ atoms to form distorted corner-sharing OMg2Fe2 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the twenty-second O2- site, O2- is bonded to four Fe3+ atoms to form distorted OFe4 trigonal pyramids that share corners with five OMg2Fe2 trigonal pyramids and edges with three OMgFe3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Mg2+ and three Fe3+ atoms to form distorted OMgFe3 trigonal pyramids that share corners with five OMg2Fe2 trigonal pyramids and edges with three OFe4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three Fe3+ atoms to form distorted OMgFe3 trigonal pyramids that share corners with three equivalent OMg2Fe2 trigonal pyramids and edges with three OFe4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on La12Ni6O25 by Materials Project

La12Ni6O25 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 1-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.30–2.99 Å. In the second La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.85 Å. In the third La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.65 Å. In the fourth La3+ site, La3+ is bonded in a 1-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.30–3.02 Å. In the fifth La3+ site, La3+ is bonded in a 1-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.30–2.99 Å. In the sixth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.82 Å. In the seventh La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.36–3.05 Å. In the eighth La3+ site, La3+ is bonded in a 9-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.79 Å. In the ninth La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.62 Å. In the tenth La3+ site, La3+ is bonded in a 1-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.30–3.02 Å. In the eleventh La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–3.03 Å. In the twelfth La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.76 Å. There are six inequivalent Ni+2.33+ sites. In the first Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form corner-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–16°. There are a spread of Ni–O bond distances ranging from 1.96–2.24 Å. In the second Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form corner-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–25°. There are a spread of Ni–O bond distances ranging from 1.96–2.37 Å. In the third Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form corner-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–28°. There are a spread of Ni–O bond distances ranging from 1.96–2.37 Å. In the fourth Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form corner-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–16°. There are a spread of Ni–O bond distances ranging from 1.96–2.24 Å. In the fifth Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form corner-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–25°. There are a spread of Ni–O bond distances ranging from 1.96–2.37 Å. In the sixth Ni+2.33+ site, Ni+2.33+ is bonded to six O2- atoms to form corner-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–28°. There are a spread of Ni–O bond distances ranging from 1.96–2.37 Å. There are twenty-five inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to four La3+ and one Ni+2.33+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to four La3+ and one Ni+2.33+ atom. In the third O2- site, O2- is bonded to four La3+ and two Ni+2.33+ atoms to form a mixture of distorted edge and corner-sharing OLa4Ni2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four La3+ and two Ni+2.33+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four La3+ and one Ni+2.33+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to four La3+ and one Ni+2.33+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to four La3+ and one Ni+2.33+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ni+2.33+ atoms. In the ninth O2- site, O2- is bonded to four La3+ and two Ni+2.33+ atoms to form distorted OLa4Ni2 octahedra that share corners with two equivalent OLa4Ni2 octahedra, corners with two equivalent OLa4 tetrahedra, edges with two equivalent OLa4Ni2 octahedra, and faces with two equivalent OLa4Ni2 octahedra. The corner-sharing octahedral tilt angles are 6°. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to four La3+ and one Ni+2.33+ atom. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four La3+ and two Ni+2.33+ atoms. In the twelfth O2- site, O2- is bonded to four La3+ and two Ni+2.33+ atoms to form a mixture of distorted edge and corner-sharing OLa4Ni2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ni+2.33+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ni+2.33+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to four La3+ and one Ni+2.33+ atom. In the sixteenth O2- site, O2- is bonded to four La3+ atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–70°. In the seventeenth O2- site, O2- is bonded to four La3+ and two Ni+2.33+ atoms to form distorted OLa4Ni2 octahedra that share corners with two equivalent OLa4 tetrahedra and faces with two equivalent OLa4Ni2 octahedra. In the eighteenth O2- site, O2- is bonded to four La3+ and two Ni+2.33+ atoms to form distorted OLa4Ni2 octahedra that share an edgeedge with one OLa4 tetrahedra and faces with two equivalent OLa4Ni2 octahedra. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ni+2.33+ atom. In the twentieth O2- site, O2- is bonded to four La3+ and two Ni+2.33+ atoms to form distorted OLa4Ni2 octahedra that share corners with two equivalent OLa4Ni2 octahedra, corners with two equivalent OLa4 tetrahedra, edges with two equivalent OLa4Ni2 octahedra, and faces with two equivalent OLa4Ni2 octahedra. The corner-sharing octahedral tilt angles are 6°. In the twenty-first O2- site, O2- is bonded to four La3+ and two Ni+2.33+ atoms to form distorted OLa4Ni2 octahedra that share an edgeedge with one OLa4 tetrahedra and faces with four OLa4Ni2 octahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to four La3+ and one Ni+2.33+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ni+2.33+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to four La3+ and two Ni+2.33+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 6-coordinate geometry to four La3+ and two Ni+2.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na8Be3Si9(ClO12)2 by Materials Project

Na8Be3Si9(O12Cl)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to three O2- and one Cl1- atom to form distorted NaClO3 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two BeO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.32–2.48 Å. The Na–Cl bond length is 2.84 Å. In the second Na1+ site, Na1+ is bonded to three O2- and one Cl1- atom to form NaClO3 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two BeO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.33–2.49 Å. The Na–Cl bond length is 2.84 Å. In the third Na1+ site, Na1+ is bonded to three O2- and one Cl1- atom to form distorted NaClO3 tetrahedra that share a cornercorner with one BeO4 tetrahedra, corners with two NaClO3 tetrahedra, and corners with five SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.32–2.56 Å. The Na–Cl bond length is 2.72 Å. In the fourth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to three O2- and one Cl1- atom. There are a spread of Na–O bond distances ranging from 2.29–2.75 Å. The Na–Cl bond length is 2.73 Å. In the fifth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to three O2- and one Cl1- atom. There are a spread of Na–O bond distances ranging from 2.29–2.71 Å. The Na–Cl bond length is 2.71 Å. In the sixth Na1+ site, Na1+ is bonded to three O2- and one Cl1- atom to form NaClO3 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two BeO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.34–2.55 Å. The Na–Cl bond length is 2.81 Å. In the seventh Na1+ site, Na1+ is bonded to three O2- and one Cl1- atom to form distorted NaClO3 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two BeO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.30–2.48 Å. The Na–Cl bond length is 2.82 Å. In the eighth Na1+ site, Na1+ is bonded to three O2- and one Cl1- atom to form distorted NaClO3 tetrahedra that share a cornercorner with one BeO4 tetrahedra, corners with two NaClO3 tetrahedra, and corners with five SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.27–2.65 Å. The Na–Cl bond length is 2.72 Å. There are three inequivalent Be2+ sites. In the first Be2+ site, Be2+ is bonded to four O2- atoms to form BeO4 tetrahedra that share corners with four NaClO3 tetrahedra and corners with four SiO4 tetrahedra. There is two shorter (1.63 Å) and two longer (1.64 Å) Be–O bond length. In the second Be2+ site, Be2+ is bonded to four O2- atoms to form BeO4 tetrahedra that share corners with three NaClO3 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Be–O bond distances ranging from 1.63–1.65 Å. In the third Be2+ site, Be2+ is bonded to four O2- atoms to form BeO4 tetrahedra that share corners with three NaClO3 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Be–O bond distances ranging from 1.63–1.66 Å. There are nine inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra, corners with three SiO4 tetrahedra, and corners with four NaClO3 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two BeO4 tetrahedra, corners with two SiO4 tetrahedra, and corners with four NaClO3 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.68 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra, corners with three NaClO3 tetrahedra, and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.67 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NaClO3 tetrahedra and corners with four SiO4 tetrahedra. There is two shorter (1.63 Å) and two longer (1.64 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra, corners with two NaClO3 tetrahedra, and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.67 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra, corners with three NaClO3 tetrahedra, and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.67 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two BeO4 tetrahedra, and corners with two SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.69 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two BeO4 tetrahedra, corners with two SiO4 tetrahedra, and corners with three NaClO3 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.68 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two BeO4 tetrahedra, corners with two SiO4 tetrahedra, and corners with three NaClO3 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.69 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Na1+, one Be2+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Be2+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Be2+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+ and two Si4+ atoms. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+ and two Si4+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Na1+, one Be2+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Be2+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+ and two Si4+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Be2+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Be2+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Be2+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Be2+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Be2+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Be2+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Be2+, and one Si4+ atom. There are two inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a tetrahedral geometry to four Na1+ atoms. In the second Cl1- site, Cl1- is bonded in a tetrahedral geometry to four Na1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Nd6Al7Si5N3O25 by Materials Project

Nd6Al7Si5N3O25 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to two N3- and six O2- atoms. There are one shorter (2.32 Å) and one longer (2.59 Å) Nd–N bond lengths. There are a spread of Nd–O bond distances ranging from 2.31–2.82 Å. In the second Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to one N3- and seven O2- atoms. The Nd–N bond length is 2.52 Å. There are a spread of Nd–O bond distances ranging from 2.28–2.86 Å. In the third Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to one N3- and six O2- atoms. The Nd–N bond length is 2.61 Å. There are a spread of Nd–O bond distances ranging from 2.26–2.68 Å. In the fourth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.30–2.82 Å. In the fifth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.23–2.90 Å. In the sixth Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to one N3- and seven O2- atoms. The Nd–N bond length is 2.68 Å. There are a spread of Nd–O bond distances ranging from 2.24–2.99 Å. There are seven inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two AlNO5 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Al–O bond distances ranging from 1.74–1.84 Å. In the second Al3+ site, Al3+ is bonded to one N3- and five O2- atoms to form AlNO5 octahedra that share a cornercorner with one SiN2O2 tetrahedra, corners with three AlO4 tetrahedra, and an edgeedge with one AlNO4 trigonal bipyramid. The Al–N bond length is 1.96 Å. There are a spread of Al–O bond distances ranging from 1.89–2.08 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one SiN2O2 tetrahedra, corners with three AlO4 tetrahedra, and a cornercorner with one AlNO4 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share corners with two AlNO5 octahedra and corners with two SiNO3 tetrahedra. The corner-sharing octahedra tilt angles range from 61–66°. There are a spread of Al–O bond distances ranging from 1.74–1.85 Å. In the fifth Al3+ site, Al3+ is bonded to one N3- and four O2- atoms to form AlNO4 trigonal bipyramids that share a cornercorner with one AlO6 octahedra, a cornercorner with one AlNO3 tetrahedra, corners with two SiO4 tetrahedra, and an edgeedge with one AlNO5 octahedra. The corner-sharing octahedral tilt angles are 61°. The Al–N bond length is 1.98 Å. There are a spread of Al–O bond distances ranging from 1.80–2.09 Å. In the sixth Al3+ site, Al3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Al–O bond distances ranging from 1.75–1.84 Å. In the seventh Al3+ site, Al3+ is bonded to one N3- and three O2- atoms to form distorted AlNO3 tetrahedra that share corners with two AlNO5 octahedra, corners with two SiO4 tetrahedra, and a cornercorner with one AlNO4 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 66–68°. The Al–N bond length is 1.80 Å. There are a spread of Al–O bond distances ranging from 1.78–1.86 Å. There are five inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to one N3- and three O2- atoms to form SiNO3 tetrahedra that share a cornercorner with one AlO4 tetrahedra and a cornercorner with one SiN2O2 tetrahedra. The Si–N bond length is 1.69 Å. There is one shorter (1.64 Å) and two longer (1.67 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and a cornercorner with one AlNO4 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra and a cornercorner with one AlNO4 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the fourth Si4+ site, Si4+ is bonded to one N3- and three O2- atoms to form SiNO3 tetrahedra that share a cornercorner with one AlO4 tetrahedra and a cornercorner with one SiN2O2 tetrahedra. The Si–N bond length is 1.68 Å. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the fifth Si4+ site, Si4+ is bonded to two N3- and two O2- atoms to form SiN2O2 tetrahedra that share corners with two AlNO5 octahedra and corners with two SiNO3 tetrahedra. The corner-sharing octahedra tilt angles range from 56–57°. There is one shorter (1.73 Å) and one longer (1.74 Å) Si–N bond length. Both Si–O bond lengths are 1.68 Å. There are three inequivalent N3- sites. In the first N3- site, N3- is bonded in a 2-coordinate geometry to two Nd3+ and two Si4+ atoms. In the second N3- site, N3- is bonded in a 2-coordinate geometry to two Nd3+ and two Si4+ atoms. In the third N3- site, N3- is bonded in a 4-coordinate geometry to one Nd3+ and three Al3+ atoms. There are twenty-five inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Al3+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Nd3+ and two Al3+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to three Nd3+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Nd3+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+, one Al3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Nd3+ and two Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Nd3+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Al3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to three Nd3+ and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Nd3+ and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+, one Al3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+, one Al3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+, one Al3+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na2Li2Al3Si3ClO12 by Materials Project

Na2Li2Al3Si3O12Cl crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to three O2- and one Cl1- atom to form distorted NaClO3 tetrahedra that share a cornercorner with one NaClO3 tetrahedra, corners with two LiClO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. There are two shorter (2.34 Å) and one longer (2.36 Å) Na–O bond lengths. The Na–Cl bond length is 2.73 Å. In the second Na1+ site, Na1+ is bonded to three O2- and one Cl1- atom to form distorted NaClO3 tetrahedra that share a cornercorner with one NaClO3 tetrahedra, corners with two LiClO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.33–2.36 Å. The Na–Cl bond length is 2.73 Å. In the third Na1+ site, Na1+ is bonded to three O2- and one Cl1- atom to form distorted NaClO3 tetrahedra that share a cornercorner with one NaClO3 tetrahedra, corners with two LiClO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.33–2.36 Å. The Na–Cl bond length is 2.73 Å. In the fourth Na1+ site, Na1+ is bonded to three O2- and one Cl1- atom to form distorted NaClO3 tetrahedra that share a cornercorner with one NaClO3 tetrahedra, corners with two LiClO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.33–2.36 Å. The Na–Cl bond length is 2.73 Å. There are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to three O2- and one Cl1- atom to form LiClO3 tetrahedra that share a cornercorner with one LiClO3 tetrahedra, corners with two NaClO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. There are one shorter (2.03 Å) and two longer (2.07 Å) Li–O bond lengths. The Li–Cl bond length is 2.65 Å. In the second Li1+ site, Li1+ is bonded to three O2- and one Cl1- atom to form LiClO3 tetrahedra that share a cornercorner with one LiClO3 tetrahedra, corners with two NaClO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.03–2.08 Å. The Li–Cl bond length is 2.65 Å. In the third Li1+ site, Li1+ is bonded to three O2- and one Cl1- atom to form LiClO3 tetrahedra that share a cornercorner with one LiClO3 tetrahedra, corners with two NaClO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.03–2.08 Å. The Li–Cl bond length is 2.65 Å. In the fourth Li1+ site, Li1+ is bonded to three O2- and one Cl1- atom to form LiClO3 tetrahedra that share a cornercorner with one LiClO3 tetrahedra, corners with two NaClO3 tetrahedra, corners with three AlO4 tetrahedra, and corners with three SiO4 tetrahedra. There are one shorter (2.03 Å) and two longer (2.07 Å) Li–O bond lengths. The Li–Cl bond length is 2.65 Å. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two LiClO3 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two LiClO3 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four LiClO3 tetrahedra and corners with four SiO4 tetrahedra. All Al–O bond lengths are 1.77 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two LiClO3 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two LiClO3 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four NaClO3 tetrahedra and corners with four SiO4 tetrahedra. All Al–O bond lengths are 1.76 Å. There are six inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two LiClO3 tetrahedra, and corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two LiClO3 tetrahedra, and corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four LiClO3 tetrahedra and corners with four AlO4 tetrahedra. All Si–O bond lengths are 1.65 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two LiClO3 tetrahedra, and corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NaClO3 tetrahedra, corners with two LiClO3 tetrahedra, and corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four NaClO3 tetrahedra and corners with four AlO4 tetrahedra. All Si–O bond lengths are 1.64 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. There are two inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a tetrahedral geometry to two Na1+ and two Li1+ atoms. In the second Cl1- site, Cl1- is bonded in a tetrahedral geometry to two Na1+ and two Li1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on CeP5O14 by Materials Project

CeP5O14 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ce3+ sites. In the first Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.41–2.59 Å. In the second Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.42–2.55 Å. There are ten inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.65 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.65 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.47–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.66 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.64 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.65 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ce3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to one Ce3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to one Ce3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ce3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to one Ce3+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ce3+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ce3+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ce3+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ce3+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg(GaO2)2 by Materials Project

MgGa2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There is three shorter (1.97 Å) and one longer (2.00 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There is two shorter (1.96 Å) and two longer (1.99 Å) Mg–O bond length. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.09 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five GaO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.09 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.09 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.11 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four GaO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.09 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are four shorter (2.07 Å) and two longer (2.10 Å) Mg–O bond lengths. There are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Ga–O bond distances ranging from 1.89–1.96 Å. In the second Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Ga–O bond distances ranging from 1.90–1.96 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There is two shorter (1.87 Å) and two longer (1.91 Å) Ga–O bond length. In the fourth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the fifth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three MgO4 tetrahedra, corners with three GaO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the sixth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Ga–O bond distances ranging from 1.88–1.93 Å. In the seventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two MgO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.08 Å. In the eighth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Ga–O bond distances ranging from 1.88–1.95 Å. In the ninth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five GaO4 tetrahedra, edges with three MgO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the tenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six MgO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There is two shorter (1.88 Å) and two longer (1.93 Å) Ga–O bond length. In the eleventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra, edges with two equivalent GaO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.99–2.05 Å. In the twelfth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four GaO4 tetrahedra, edges with three MgO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.07 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Mg2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OMgGa3 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OMgGa3 trigonal pyramids. In the third O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa4 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Mg2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OMgGa3 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the sixth O2- site, O2- is bonded to one Mg2+ and three Ga3+ atoms to form distorted edge-sharing OMgGa3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Ga3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ga3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two equivalent Ga3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ga3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ga3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgAl2O4 by Materials Project

MgAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.93 Å) and one longer (2.00 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There is three shorter (1.94 Å) and one longer (1.98 Å) Mg–O bond length. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.08 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.09 Å. In the fifth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Mg–O bond distances ranging from 1.97–1.99 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.97–1.99 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.02 Å) and three longer (2.09 Å) Mg–O bond lengths. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Mg–O bond distances ranging from 1.94–2.00 Å. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.06 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.05 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Al–O bond distances ranging from 1.80–1.85 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.05 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Al–O bond distances ranging from 1.83–1.86 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.02 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.99 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.99 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There is two shorter (1.89 Å) and four longer (1.95 Å) Al–O bond length. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There is three shorter (1.82 Å) and one longer (1.88 Å) Al–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the fourth O2- site, O2- is bonded to two Mg2+ and two Al3+ atoms to form distorted OMg2Al2 trigonal pyramids that share corners with four OMgAl3 tetrahedra, corners with two OMg2Al2 trigonal pyramids, and edges with two OMg2Al2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the ninth O2- site, O2- is bonded to two Mg2+ and two equivalent Al3+ atoms to form distorted OMg2Al2 trigonal pyramids that share corners with four OMgAl3 tetrahedra, corners with two equivalent OMg2Al2 trigonal pyramids, and edges with two equivalent OMg2Al2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 tetrahedra that share corners with two equivalent OMgAl3 tetrahedra, corners with four OMg2Al2 trigonal pyramids, and edges with two equivalent OMgAl3 tetrahedra. In the twelfth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 tetrahedra that share corners with two OMgAl3 tetrahedra, corners with four OMg2Al2 trigonal pyramids, and edges with two OMgAl3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Al3+ atoms to form distorted corner-sharing OMg2Al2 tetrahedra. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three OMg2Al2 tetrahedra, corners with three OMgAl3 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three OMg2Al2 tetrahedra and corners with three OMgAl3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the nineteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the twenty-first O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with three OMg2Al2 tetrahedra, corners with three OMgAl3 trigonal pyramids, and edges with three OMgAl3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form corner-sharing OMgAl3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Al2CuO4 by Materials Project

CuAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Cu–O bond distances ranging from 1.95–1.97 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.99–2.10 Å. In the third Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Cu–O bond distances ranging from 1.95–1.99 Å. In the fourth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.00–2.12 Å. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.95–2.15 Å. In the sixth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–65°. There are a spread of Cu–O bond distances ranging from 1.98–2.02 Å. In the seventh Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is one shorter (1.97 Å) and three longer (2.00 Å) Cu–O bond length. In the eighth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Cu–O bond distances ranging from 1.95–2.04 Å. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two CuO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.00 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three CuO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.01 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.04 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two AlO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.05 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Al–O bond distances ranging from 1.80–1.85 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.99 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.05 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There is two shorter (1.83 Å) and two longer (1.84 Å) Al–O bond length. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.98 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.99 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five AlO6 octahedra. There is five shorter (1.92 Å) and one longer (1.95 Å) Al–O bond length. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Al–O bond distances ranging from 1.81–1.89 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the second O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted corner-sharing OAl3Cu trigonal pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded to two Cu2+ and two Al3+ atoms to form distorted OAl2Cu2 trigonal pyramids that share corners with four OAl3Cu tetrahedra, corners with three OAl3Cu trigonal pyramids, and edges with two OAl2Cu2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the ninth O2- site, O2- is bonded to two Cu2+ and two equivalent Al3+ atoms to form distorted OAl2Cu2 trigonal pyramids that share corners with four OAl3Cu tetrahedra, corners with three OAl3Cu trigonal pyramids, and edges with two equivalent OAl2Cu2 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu tetrahedra that share corners with two equivalent OAl3Cu tetrahedra, corners with four OAl2Cu2 trigonal pyramids, and edges with two equivalent OAl3Cu tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the twelfth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu tetrahedra that share corners with two OAl3Cu tetrahedra, corners with four OAl2Cu2 trigonal pyramids, and edges with two OAl3Cu tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded to two Cu2+ and two equivalent Al3+ atoms to form distorted corner-sharing OAl2Cu2 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu trigonal pyramids that share corners with three OAl2Cu2 tetrahedra, corners with three OAl3Cu trigonal pyramids, and edges with three OAl3Cu trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu trigonal pyramids that share corners with three OAl2Cu2 tetrahedra and corners with three OAl3Cu trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Al3+ atoms. In the nineteenth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Cu trigonal pyramids. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu2+ and two equivalent Al3+ atoms. In the twenty-first O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form distorted OAl3Cu trigonal pyramids that share corners with three OAl2Cu2 tetrahedra, corners with three OAl3Cu trigonal pyramids, and edges with three OAl3Cu trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Cu2+ and three Al3+ atoms to form corner-sharing OAl3Cu tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Na26In4O19 by Materials Project

Na26In4O19 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. there are twenty-six inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with nine NaO4 tetrahedra, and edges with five NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.49 Å. In the second Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with ten NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.35–2.61 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with ten NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.36–2.52 Å. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with ten NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and edges with three NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.41–2.55 Å. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with ten NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, edges with three NaO4 tetrahedra, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.34–2.59 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with four InO4 tetrahedra, corners with six NaO4 tetrahedra, edges with two NaO4 tetrahedra, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.22–2.30 Å. In the seventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with seven NaO4 tetrahedra, and edges with five NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.44 Å. In the eighth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with ten NaO4 tetrahedra, and edges with five NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.32–2.45 Å. In the ninth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with seven NaO4 tetrahedra, corners with two equivalent NaO4 trigonal pyramids, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.32–2.42 Å. In the tenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 trigonal pyramids that share corners with three InO4 tetrahedra, corners with nine NaO4 tetrahedra, and edges with three NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.36–2.70 Å. In the eleventh 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 2.31–2.67 Å. In the twelfth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with seven NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.33–2.52 Å. In the thirteenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with eight NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one InO4 tetrahedra, edges with three NaO4 tetrahedra, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.35–2.59 Å. In the fourteenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with ten NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one InO4 tetrahedra, and edges with three NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.36–2.65 Å. In the fifteenth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with four InO4 tetrahedra, corners with eight NaO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.27–2.32 Å. In the sixteenth 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 2.39–2.82 Å. In the seventeenth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with seven NaO4 tetrahedra, corners with two equivalent NaO4 trigonal pyramids, and edges with three NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.32–2.50 Å. In the eighteenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with nine NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.49 Å. In the nineteenth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with twelve NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and edges with three NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.33–2.62 Å. In the twentieth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with nine NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one InO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.28–2.59 Å. In the twenty-first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with four InO4 tetrahedra, corners with six NaO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.26–2.33 Å. In the twenty-second Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with eleven NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.39–2.66 Å. In the twenty-third Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with ten NaO4 tetrahedra, and edges with five NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.46 Å. In the twenty-fourth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with nine NaO4 tetrahedra, and edges with five NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.47 Å. In the twenty-fifth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with three InO4 tetrahedra, corners with seven NaO4 tetrahedra, and edges with five NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.25–2.46 Å. In the twenty-sixth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one InO4 tetrahedra, corners with twelve NaO4 tetrahedra, an edgeedge with one InO4 tetrahedra, and edges with four NaO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.33–2.61 Å. There are four inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with fourteen NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, and edges with three NaO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.09–2.13 Å. In the second In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with eleven NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, and edges with three NaO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.08–2.13 Å. In the third In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with fourteen NaO4 tetrahedra, a cornercorner with one NaO4 trigonal pyramid, and edges with two NaO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.10–2.13 Å. In the fourth In3+ site, In3+ is bonded to four O2- atoms to form InO4 tetrahedra that share corners with thirteen NaO4 tetrahedra and edges with two NaO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.07–2.12 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the second O2- site, O2- is bonded in a distorted pentagonal bipyramidal geometry to seven Na1+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the fourth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one In3+ atom. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to four Na1+ and one In3+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the tenth O2- site, O2- is bonded in a body-centered cubic geometry to eight Na1+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the twelfth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one In3+ atom. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted body-centered cubic geometry to eight Na1+ atoms. In the sixteenth O2- site, O2- is bonded in a 7-coordinate geometry to six Na1+ and one In3+ atom. In the seventeenth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one In3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Na2CaTi3Si4(SO13)2 by Materials Project

Na2Ba4CaTi3Si4(SO13)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with four SiO4 tetrahedra, corners with two TiO5 trigonal bipyramids, edges with two equivalent NaO6 octahedra, edges with two equivalent CaO6 octahedra, and edges with two equivalent TiO6 octahedra. There are a spread of Na–O bond distances ranging from 2.36–2.53 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two SiO4 tetrahedra, corners with two TiO5 trigonal bipyramids, edges with two equivalent NaO6 octahedra, edges with two equivalent CaO6 octahedra, and edges with two equivalent TiO6 octahedra. There are a spread of Na–O bond distances ranging from 2.30–2.49 Å. There are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.13 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.73–2.97 Å. In the third Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.38 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–2.98 Å. Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two SiO4 tetrahedra, corners with two TiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, and edges with four NaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.24–2.48 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one CaO6 octahedra, corners with two NaO6 octahedra, and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Ti–O bond distances ranging from 1.69–2.02 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four SiO4 tetrahedra, edges with two equivalent CaO6 octahedra, and edges with four NaO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.22 Å. In the third Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one CaO6 octahedra, corners with two NaO6 octahedra, and corners with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Ti–O bond distances ranging from 1.69–2.02 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one CaO6 octahedra, a cornercorner with one TiO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two equivalent TiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with two NaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two equivalent TiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with two NaO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two equivalent TiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one NaO6 octahedra, a cornercorner with one CaO6 octahedra, a cornercorner with one TiO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two equivalent TiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. There are two inequivalent S6+ sites. In the first S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.47 Å) and three longer (1.50 Å) S–O bond length. In the second S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.47 Å) and three longer (1.50 Å) S–O bond length. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Ba2+ and two Si4+ atoms. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ca2+, and one Ti4+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti4+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti4+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ti4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a single-bond geometry to three Ba2+ and one S6+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti4+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ca2+, and one Ti4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a single-bond geometry to three Ba2+ and one S6+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ca2+, and one Ti4+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Ti4+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti4+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ba2+, one Ca2+, and one Ti4+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Ti4+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti4+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Ba2+ and two Si4+ atoms.

36 MATERIALS SCIENCE↗