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Materials Data on Zr5Te4 by Materials Project

Zr5Te4 is Titanium telluride structured and crystallizes in the tetragonal I4/m space group. The structure is three-dimensional. there are two inequivalent Zr sites. In the first Zr site, Zr is bonded in a distorted square co-planar geometry to four equivalent Te atoms. All Zr–Te bond lengths are 3.11 Å. In the second Zr site, Zr is bonded to five equivalent Te atoms to form a mixture of distorted edge and corner-sharing ZrTe5 trigonal bipyramids. There are two shorter (2.94 Å) and three longer (2.95 Å) Zr–Te bond lengths. Te is bonded in a distorted hexagonal planar geometry to six Zr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zr7(NO2)4 by Materials Project

Zr7N4O8 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to three N3- and four O2- atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, an edgeedge with one ZrN2O4 octahedra, and edges with two equivalent ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of Zr–N bond distances ranging from 2.20–2.31 Å. There are a spread of Zr–O bond distances ranging from 2.14–2.51 Å. In the second Zr4+ site, Zr4+ is bonded to two equivalent N3- and four O2- atoms to form a mixture of edge and corner-sharing ZrN2O4 octahedra. Both Zr–N bond lengths are 2.18 Å. There are two shorter (2.09 Å) and two longer (2.16 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.08 Å) and one longer (2.12 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.15–2.36 Å. In the fourth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to two equivalent N3- and five O2- atoms. There are one shorter (2.14 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.14–2.65 Å. There are two inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three equivalent OZr4 tetrahedra, corners with four NZr4 tetrahedra, an edgeedge with one NZr4 tetrahedra, and an edgeedge with one OZr4 tetrahedra. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three equivalent NZr4 tetrahedra, corners with three equivalent OZr4 tetrahedra, an edgeedge with one NZr4 tetrahedra, and an edgeedge with one OZr4 tetrahedra. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to four Zr4+ atoms. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with six NZr4 tetrahedra, an edgeedge with one OZr4 tetrahedra, and edges with two NZr4 tetrahedra. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Zr4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms.

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Materials Data on Zr5Sn3 by Materials Project

Zr5Sn3 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. there are two inequivalent Zr sites. In the first Zr site, Zr is bonded in a 6-coordinate geometry to six equivalent Sn atoms. All Zr–Sn bond lengths are 3.01 Å. In the second Zr site, Zr is bonded in a 5-coordinate geometry to five equivalent Sn atoms. There are a spread of Zr–Sn bond distances ranging from 2.93–3.16 Å. Sn is bonded in a 9-coordinate geometry to nine Zr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sm2Zr2O7 by Materials Project

Sm2Zr2O7 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are seven inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to seven O2- atoms to form SmO7 pentagonal bipyramids that share corners with four ZrO6 octahedra, edges with two equivalent ZrO6 octahedra, and edges with two equivalent ZrO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Sm–O bond distances ranging from 2.27–2.52 Å. In the second Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.39–2.90 Å. In the third Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.24–2.63 Å. In the fourth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with four equivalent ZrO6 octahedra, corners with two equivalent ZrO7 pentagonal bipyramids, and edges with two equivalent ZrO6 octahedra. The corner-sharing octahedral tilt angles are 67°. There are two shorter (2.35 Å) and four longer (2.43 Å) Sm–O bond lengths. In the fifth Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.62 Å. In the sixth Sm3+ site, Sm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.31–2.62 Å. In the seventh Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.31–2.59 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with five ZrO6 octahedra, a cornercorner with one SmO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Zr–O bond distances ranging from 2.08–2.15 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with five ZrO6 octahedra and a cornercorner with one SmO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Zr–O bond distances ranging from 2.10–2.16 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two equivalent SmO6 octahedra, corners with four ZrO6 octahedra, corners with two equivalent ZrO7 pentagonal bipyramids, and edges with two equivalent SmO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 43–67°. There are two shorter (2.03 Å) and four longer (2.13 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one SmO6 octahedra, corners with two equivalent ZrO6 octahedra, edges with two equivalent ZrO6 octahedra, and edges with two equivalent SmO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of Zr–O bond distances ranging from 2.07–2.42 Å. In the fifth Zr4+ site, Zr4+ is bonded to six O2- atoms to form distorted ZrO6 octahedra that share corners with four equivalent ZrO6 octahedra, corners with two equivalent SmO7 pentagonal bipyramids, and edges with two equivalent SmO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are two shorter (2.08 Å) and four longer (2.19 Å) Zr–O bond lengths. In the sixth Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Zr–O bond distances ranging from 2.11–2.13 Å. In the seventh Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are two shorter (2.11 Å) and four longer (2.12 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are two shorter (2.11 Å) and four longer (2.12 Å) Zr–O bond lengths. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to two Sm3+ and two Zr4+ atoms to form distorted OSm2Zr2 tetrahedra that share corners with six OSm2Zr2 tetrahedra and edges with four OSmZr3 tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Sm3+ and two equivalent Zr4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Sm3+ and two Zr4+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Sm3+ and two Zr4+ atoms. In the fifth O2- site, O2- is bonded to three Sm3+ and one Zr4+ atom to form OSm3Zr tetrahedra that share corners with nine OSm2Zr2 tetrahedra and edges with three OSm3Zr tetrahedra. In the sixth O2- site, O2- is bonded to one Sm3+ and three Zr4+ atoms to form distorted OSmZr3 tetrahedra that share corners with six OSm4 tetrahedra and edges with three OSm2Zr2 tetrahedra. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Sm3+ and two equivalent Zr4+ atoms. In the eighth O2- site, O2- is bonded to two Sm3+ and two Zr4+ atoms to form distorted OSm2Zr2 tetrahedra that share corners with seven OSmZr3 tetrahedra and edges with three OSm2Zr2 tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Sm3+ and two Zr4+ atoms. In the tenth O2- site, O2- is bonded to three Sm3+ and one Zr4+ atom to form OSm3Zr tetrahedra that share corners with ten OSm2Zr2 tetrahedra and edges with four OSm3Zr tetrahedra. In the eleventh O2- site, O2- is bonded to three Sm3+ and one Zr4+ atom to form OSm3Zr tetrahedra that share corners with eight OSm3Zr tetrahedra and edges with three OSm2Zr2 tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Sm3+ and two Zr4+ atoms. In the thirteenth O2- site, O2- is bonded to three Sm3+ and one Zr4+ atom to form OSm3Zr tetrahedra that share corners with nine OSmZr3 tetrahedra and edges with three OSm2Zr2 tetrahedra. In the fourteenth O2- site, O2- is bonded to two Sm3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OSm2Zr2 tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Sm3+ and two Zr4+ atoms. In the sixteenth O2- site, O2- is bonded to two Sm3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OSm2Zr2 tetrahedra. In the seventeenth O2- site, O2- is bonded to two Sm3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OSm2Zr2 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Sm3+ atoms to form a mixture of edge and corner-sharing OSm4 tetrahedra. In the nineteenth O2- site, O2- is bonded to two equivalent Sm3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OSm2Zr2 tetrahedra. In the twentieth O2- site, O2- is bonded to four Sm3+ atoms to form a mixture of edge and corner-sharing OSm4 tetrahedra.

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Materials Data on Zr2Cu by Materials Project

Zr2Cu crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. there are two inequivalent Zr sites. In the first Zr site, Zr is bonded in a 2-coordinate geometry to four equivalent Cu atoms. There are two shorter (2.90 Å) and two longer (3.20 Å) Zr–Cu bond lengths. In the second Zr site, Zr is bonded in a 6-coordinate geometry to six equivalent Cu atoms. All Zr–Cu bond lengths are 2.67 Å. Cu is bonded in a 12-coordinate geometry to nine Zr and three equivalent Cu atoms. All Cu–Cu bond lengths are 2.92 Å.

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Materials Data on Zr5Si3 by Materials Project

Zr5Si3 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. there are two inequivalent Zr+2.40+ sites. In the first Zr+2.40+ site, Zr+2.40+ is bonded to five equivalent Si4- atoms to form distorted ZrSi5 trigonal bipyramids that share corners with eight equivalent ZrSi6 octahedra, corners with eight equivalent ZrSi5 trigonal bipyramids, edges with six equivalent ZrSi5 trigonal bipyramids, and faces with four equivalent ZrSi6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of Zr–Si bond distances ranging from 2.74–3.00 Å. In the second Zr+2.40+ site, Zr+2.40+ is bonded to six equivalent Si4- atoms to form distorted ZrSi6 octahedra that share corners with six equivalent ZrSi6 octahedra, corners with twelve equivalent ZrSi5 trigonal bipyramids, edges with three equivalent ZrSi6 octahedra, faces with two equivalent ZrSi6 octahedra, and faces with six equivalent ZrSi5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 36°. All Zr–Si bond lengths are 2.84 Å. Si4- is bonded in a 9-coordinate geometry to nine Zr+2.40+ atoms.

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Materials Data on Nd2Zr8O19 by Materials Project

Nd2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.24–2.36 Å. In the second Nd3+ site, Nd3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NdO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Nd–O bond distances ranging from 2.15–2.58 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.37 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.30 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.35 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the fifth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.28 Å. In the sixth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.29 Å. In the seventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.33 Å. In the eighth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.31 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing ONd2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing ONd2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to four Nd3+ atoms to form a mixture of edge and corner-sharing ONd4 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form ONd2Zr2 tetrahedra that share corners with twelve OZr4 tetrahedra and edges with six ONd4 tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent Nd3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing ONd2Zr2 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Er2Zr8O19 by Materials Project

Er2Zr8O19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Er–O bond distances ranging from 2.08–2.37 Å. In the second Er3+ site, Er3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Er–O bond distances ranging from 2.08–2.36 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.39 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.39 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.37 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.17–2.32 Å. In the fifth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.29 Å. In the sixth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.35 Å. In the seventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.37 Å. In the eighth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.38 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing OEr2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OEr2Zr2 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of edge and corner-sharing OEr2Zr2 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Er3+ atoms to form a mixture of edge and corner-sharing OEr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to two equivalent Er3+ and two equivalent Zr4+ atoms to form a mixture of distorted edge and corner-sharing OEr2Zr2 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Yb2Zr8O19 by Materials Project

Yb2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Yb–O bond distances ranging from 2.22–2.30 Å. In the second Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Yb–O bond distances ranging from 2.21–2.30 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.15–2.30 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.28 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.27 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.26 Å. In the fifth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.23–2.25 Å. In the sixth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.22–2.26 Å. In the seventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.27 Å. In the eighth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.31 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form OZr4 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OYb2Zr2 tetrahedra. In the sixth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with twelve OYb4 tetrahedra and edges with six OYb2Zr2 tetrahedra. In the seventh O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with fourteen OYb2Zr2 tetrahedra and edges with five OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Yb3+ atoms to form a mixture of corner and edge-sharing OYb4 tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Zr4+ atoms to form a mixture of corner and edge-sharing OYb2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with fourteen OYb4 tetrahedra and edges with five OYb2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sm2Zr8O19 by Materials Project

Sm2Zr8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sm–O bond distances ranging from 2.20–2.32 Å. In the second Sm3+ site, Sm3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing SmO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Sm–O bond distances ranging from 2.13–2.50 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.37 Å. In the second Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.15–2.37 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.32 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.31 Å. In the fifth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.27 Å. In the sixth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.16–2.27 Å. In the seventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.29 Å. In the eighth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.13–2.29 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to two equivalent Sm3+ and two equivalent Zr4+ atoms to form a mixture of corner and edge-sharing OSm2Zr2 tetrahedra. In the seventh O2- site, O2- is bonded to four Sm3+ atoms to form a mixture of corner and edge-sharing OSm4 tetrahedra. In the eighth O2- site, O2- is bonded to two equivalent Sm3+ and two equivalent Zr4+ atoms to form a mixture of corner and edge-sharing OSm2Zr2 tetrahedra. In the ninth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Sm3+ and two equivalent Zr4+ atoms to form distorted OSm2Zr2 tetrahedra that share corners with fourteen OSm4 tetrahedra and edges with five OSm2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to two equivalent Sm3+ and two equivalent Zr4+ atoms to form OSm2Zr2 tetrahedra that share corners with fourteen OSm4 tetrahedra and edges with five OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Zr5Pb3 by Materials Project

Zr5Pb3 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. there are two inequivalent Zr sites. In the first Zr site, Zr is bonded in a 5-coordinate geometry to five equivalent Pb atoms. There are a spread of Zr–Pb bond distances ranging from 3.07–3.36 Å. In the second Zr site, Zr is bonded in a 6-coordinate geometry to six equivalent Pb atoms. All Zr–Pb bond lengths are 3.18 Å. Pb is bonded in a 9-coordinate geometry to nine Zr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na3Zr2Si2PO12 by Materials Project

Na3Zr2Si2PO12 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.54–2.87 Å. In the second 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 2.32–2.69 Å. In the third Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.47–2.73 Å. In the fourth Na1+ site, Na1+ is bonded in a distorted pentagonal planar geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.63 Å. In the fifth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.48–2.84 Å. In the sixth 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 2.35–2.66 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.73 Å. In the eighth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.48–2.78 Å. In the ninth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.76 Å. In the tenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.50–2.83 Å. In the eleventh Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.73 Å. In the twelfth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.73 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.23 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.22 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.20 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.25 Å. In the fifth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.07–2.18 Å. In the sixth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.00–2.25 Å. In the seventh Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.28 Å. In the eighth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.28 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–43°. 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 four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–44°. There is one shorter (1.62 Å) and three longer (1.64 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–39°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–41°. 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 four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–43°. All Si–O bond lengths are 1.64 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 16–44°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–39°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–45°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–42°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 17–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one Zr4+ and one P5+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Zr4+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the forty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the forty-fourth O2-

36 MATERIALS SCIENCE↗

Materials Data on Na5Ca6Nd5Zr16O48 by Materials Project

Na5Ca6Nd5Zr16O48 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–3.07 Å. In the second Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–3.04 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.78 Å. There are three inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.35–3.01 Å. In the second Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.96 Å. In the third Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.35–3.02 Å. There are four inequivalent Nd3+ sites. In the first 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 2.37–2.68 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 2.37–2.85 Å. In the third 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 2.37–2.86 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 2.36–2.71 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–38°. There are a spread of Zr–O bond distances ranging from 2.10–2.18 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 28–41°. There are a spread of Zr–O bond distances ranging from 2.03–2.24 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 29–37°. There are a spread of Zr–O bond distances ranging from 2.11–2.15 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 29–37°. There are a spread of Zr–O bond distances ranging from 2.11–2.15 Å. In the fifth Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–38°. There are a spread of Zr–O bond distances ranging from 2.09–2.16 Å. In the sixth Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 28–41°. There are a spread of Zr–O bond distances ranging from 2.01–2.25 Å. In the seventh Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 29–37°. There are a spread of Zr–O bond distances ranging from 2.11–2.15 Å. In the eighth Zr4+ site, Zr4+ is bonded to six O2- atoms to form corner-sharing ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 29–37°. There are a spread of Zr–O bond distances ranging from 2.11–2.15 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+, one Ca2+, and two Zr4+ atoms to form distorted ONaCaZr2 tetrahedra that share a cornercorner with one ONaNdZr2 tetrahedra and a cornercorner with one ONd2Zr2 trigonal pyramid. In the second O2- site, O2- is bonded to two Ca2+ and two Zr4+ atoms to form distorted corner-sharing OCa2Zr2 tetrahedra. In the third O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+, one Ca2+, one Nd3+, and two Zr4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Nd3+, and two Zr4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Zr4+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+, one Ca2+, one Nd3+, and two Zr4+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Nd3+, and two Zr4+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+, one Ca2+, one Nd3+, and two Zr4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Zr4+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Nd3+, and two Zr4+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, and two Zr4+ atoms. In the twelfth O2- site, O2- is bonded to two Ca2+ and two Zr4+ atoms to form distorted corner-sharing OCa2Zr2 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Na1+, one Nd3+, and two Zr4+ atoms to form distorted corner-sharing ONaNdZr2 tetrahedra. In the fourteenth O2- site, O2- is bonded to two Nd3+ and two equivalent Zr4+ atoms to form distorted corner-sharing ONd2Zr2 tetrahedra. In the fifteenth O2- site, O2- is bonded to one Na1+, one Nd3+, and two equivalent Zr4+ atoms to form distorted corner-sharing ONaNdZr2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+, one Ca2+, one Nd3+, and two Zr4+ atoms. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+, one Ca2+, one Nd3+, and two Zr4+ atoms. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Zr4+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ca2+, and two Zr4+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Nd3+, and two Zr4+ atoms. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Ca2+, and two Zr4+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Zr4+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ca2+, and two Zr4+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Na1+, one Nd3+, and two Zr4+ atoms to form distorted corner-sharing ONaNdZr2 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to two Nd3+ and two equivalent Zr4+ atoms to form distorted corner-sharing ONd2Zr2 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to one Na1+, one Nd3+, and two equivalent Zr4+ atoms to form distorted corner-sharing ONaNdZr2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li2Zr2(PO4)3 by Materials Project

LiZr2(PO4)3Li crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.22 Å. Zr+3.50+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.09–2.19 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four equivalent ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–40°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four equivalent ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 17–46°. There is one shorter (1.53 Å) and three longer (1.56 Å) P–O bond length. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Zr+3.50+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Zr+3.50+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Zr+3.50+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr+3.50+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Zr+3.50+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Zr+3.50+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li15Zr7(Cu3O14)2 by Materials Project

Li15Zr7(Cu3O14)2 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fifteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO6 octahedra, corners with four LiO6 octahedra, edges with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Li–O bond distances ranging from 2.03–2.37 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.08–2.34 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Li–O bond distances ranging from 2.10–2.64 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Li–O bond distances ranging from 2.11–2.53 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.07–2.70 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.05–2.50 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five LiO6 octahedra, edges with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Li–O bond distances ranging from 2.07–2.38 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.10–2.42 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.09–2.58 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Li–O bond distances ranging from 2.07–2.32 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, edges with four ZrO6 octahedra, and edges with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.09–2.49 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Li–O bond distances ranging from 2.11–2.34 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five LiO6 octahedra, edges with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Li–O bond distances ranging from 2.08–2.39 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CuO6 octahedra, corners with four LiO6 octahedra, edges with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Li–O bond distances ranging from 2.09–2.41 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two ZrO6 octahedra, corners with four LiO6 octahedra, edges with two CuO6 octahedra, edges with four ZrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.11–2.43 Å. There are seven inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with two CuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Zr–O bond distances ranging from 2.09–2.17 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with four CuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Zr–O bond distances ranging from 2.07–2.17 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with four CuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Zr–O bond distances ranging from 2.08–2.15 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with three CuO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Zr–O bond distances ranging from 2.09–2.15 Å. In the fifth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with four CuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Zr–O bond distances ranging from 2.09–2.16 Å. In the sixth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with three CuO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Zr–O bond distances ranging from 2.09–2.15 Å. In the seventh Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two LiO6 octahedra, corners with four ZrO6 octahedra, edges with four CuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Zr–O bond distances ranging from 2.11–2.14 Å. There are six inequivalent Cu+2.17+ sites. In the first Cu+2.17+ site, Cu+2.17+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three LiO6 octahedra, corners with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Cu–O bond distances ranging from 1.93–2.44 Å. In the second Cu+2.17+ site, Cu+2.17+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two LiO6 octahedra, corners with four CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Cu–O bond distances ranging from 2.03–2.32 Å. In the third Cu+2.17+ site, Cu+2.17+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three LiO6 octahedra, corners with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Cu–O bond distances ranging from 1.99–2.33 Å. In the fourth Cu+2.17+ site, Cu+2.17+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three LiO6 octahedra, corners with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Cu–O bond distances ranging from 2.04–2.33 Å. In the fifth Cu+2.17+ site, Cu+2.17+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two LiO6 octahedra, corners with four CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Cu–O bond distances ranging from 1.98–2.40 Å. In the sixth Cu+2.17+ site, Cu+2.17+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three LiO6 octahedra, corners with three CuO6 octahedra, edges with four ZrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Cu–O bond distances ranging from 1.94–2.32 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Zr4+, and one Cu+2.17+ atom to form OLi4ZrCu octahedra that share corners with six OLi3ZrCu2 octahedra and edges with twelve OLi4Zr2 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. In the second O2- site, O2- is bonded to three Li1+, two Zr4+, and one Cu+2.17+ atom to form a mixture of edge and corner-sharing OLi3Zr2Cu octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O2- site, O2- is bonded to three Li1+, one Zr4+, and two Cu+2.17+ atoms to form OLi3ZrCu2 octahedra that share corners with six OLi3ZrCu2 octahedra and edges with twelve OLi3Zr2Cu octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the fourth O2- site, O2- is bonded to three Li1+, one Zr4+, and two Cu+2.17+ atoms to form OLi3ZrCu2 octahedra that share corners with six OLi3ZrCu2 octahedra and edges with twelve OLi3Zr2Cu octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fifth O2- site, O2- is bonded to three Li1+, two Zr4+, and one Cu+2.17+ atom to form a mixture of edge and corner-sharing OLi3Zr2Cu octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the sixth O2- site, O2- is bonded to four Li1+ and two Zr

36 MATERIALS SCIENCE↗

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face, edge, and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 43–66°. There are a spread of Zr–N bond distances ranging from 2.11–2.41 Å. There are one shorter (2.11 Å) and one longer (2.29 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face, edge, and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 45–67°. There are a spread of Zr–N bond distances ranging from 2.06–2.26 Å. There are one shorter (2.19 Å) and one longer (2.54 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face, edge, and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 43–69°. There are a spread of Zr–N bond distances ranging from 2.05–2.33 Å. There are one shorter (2.20 Å) and one longer (2.44 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted face, edge, and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–69°. There are a spread of Zr–N bond distances ranging from 2.13–2.32 Å. There are one shorter (2.10 Å) and one longer (2.35 Å) Zr–O bond lengths. There are four inequivalent N3- sites. In the first N3- site, N3- is bonded in a distorted see-saw-like geometry to four Zr4+ atoms. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with four equivalent NZr4 trigonal pyramids and an edgeedge with one OZr4 trigonal pyramid. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two equivalent OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the fourth N3- site, N3- is bonded in a 4-coordinate geometry to four Zr4+ atoms. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the third O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with four equivalent NZr4 trigonal pyramids and edges with four NZr4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Na3ZrF8 by Materials Project

Na3ZrF8 is Fluorite-derived structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. there are three inequivalent Na sites. In the first Na site, Na is bonded in a body-centered cubic geometry to eight equivalent F atoms. All Na–F bond lengths are 2.42 Å. In the second Na site, Na is bonded in a body-centered cubic geometry to eight equivalent F atoms. All Na–F bond lengths are 2.41 Å. In the third Na site, Na is bonded in a body-centered cubic geometry to eight equivalent F atoms. All Na–F bond lengths are 2.41 Å. There are two inequivalent Zr sites. In the first Zr site, Zr is bonded in a body-centered cubic geometry to eight equivalent F atoms. All Zr–F bond lengths are 2.16 Å. In the second Zr site, Zr is bonded in a body-centered cubic geometry to eight equivalent F atoms. All Zr–F bond lengths are 2.16 Å. F is bonded to three Na and one Zr atom to form a mixture of edge and corner-sharing FNa3Zr tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on ZrZn16 by Materials Project

ZrZn16 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. Zr is bonded in a 9-coordinate geometry to fifteen Zn atoms. There are a spread of Zr–Zn bond distances ranging from 2.84–3.01 Å. There are seven inequivalent Zn sites. In the first Zn site, Zn is bonded in a 1-coordinate geometry to one Zr and eight Zn atoms. There are four shorter (2.75 Å) and four longer (2.80 Å) Zn–Zn bond lengths. In the second Zn site, Zn is bonded to two equivalent Zr and ten Zn atoms to form ZnZr2Zn10 cuboctahedra that share corners with two equivalent ZnZr2Zn10 cuboctahedra and faces with six equivalent ZnZn12 cuboctahedra. There are six shorter (2.65 Å) and four longer (2.88 Å) Zn–Zn bond lengths. In the third Zn site, Zn is bonded in a 9-coordinate geometry to one Zr and twelve Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.54–3.13 Å. In the fourth Zn site, Zn is bonded in a 12-coordinate geometry to one Zr and eleven Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.62–3.14 Å. In the fifth Zn site, Zn is bonded in a 10-coordinate geometry to one Zr and nine Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.52–2.90 Å. In the sixth Zn site, Zn is bonded in a 10-coordinate geometry to one Zr and eleven Zn atoms. There are one shorter (2.61 Å) and one longer (2.66 Å) Zn–Zn bond lengths. In the seventh Zn site, Zn is bonded to twelve Zn atoms to form distorted ZnZn12 cuboctahedra that share edges with three equivalent ZnZn12 cuboctahedra and faces with four ZnZr2Zn10 cuboctahedra. The Zn–Zn bond length is 2.90 Å.

36 MATERIALS SCIENCE↗