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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.

36 MATERIALS SCIENCE↗

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.

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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↗

Materials Data on Na2CaZr2Si10O27 by Materials Project

Na2CaZr2Si10O27 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Na is bonded in a 3-coordinate geometry to three O atoms. There are one shorter (2.38 Å) and two longer (2.48 Å) Na–O bond lengths. Ca is bonded to five O atoms to form distorted CaO5 trigonal bipyramids that share corners with four SiO4 tetrahedra and edges with two equivalent ZrO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.44 Å. Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six SiO4 tetrahedra and an edgeedge with one CaO5 trigonal bipyramid. There are a spread of Zr–O bond distances ranging from 2.03–2.22 Å. There are five inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent ZrO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent ZrO6 octahedra, corners with two SiO4 tetrahedra, and a cornercorner with one CaO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 49–51°. There is three shorter (1.63 Å) and one longer (1.68 Å) Si–O bond length. In the third Si site, Si is bonded to four O atoms to form corner-sharing SiO4 tetrahedra. There is three shorter (1.62 Å) and one longer (1.63 Å) Si–O bond length. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra, corners with three SiO4 tetrahedra, and a cornercorner with one CaO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. There is three shorter (1.62 Å) and one longer (1.66 Å) Si–O bond length. There are fourteen inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the second O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Zr, and one Si atom. In the third O site, O is bonded in a distorted trigonal planar geometry to one Na and two Si atoms. In the fourth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fifth O site, O is bonded in a distorted bent 150 degrees geometry to one Zr and one Si atom. In the sixth O site, O is bonded in a 3-coordinate geometry to one Na and two Si atoms. In the seventh O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the eighth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the ninth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the tenth O site, O is bonded in a distorted bent 150 degrees geometry to one Zr and one Si atom. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Zr, and one Si atom. In the twelfth O site, O is bonded in a distorted bent 120 degrees geometry to one Zr and one Si atom. In the thirteenth O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the fourteenth O site, O is bonded in a single-bond geometry to one Ca atom.

36 MATERIALS SCIENCE↗

Materials Data on Pr5Zr3(Ni4As3)4 by Materials Project

Pr5Zr3(Ni4As3)4 crystallizes in the hexagonal P-62m space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 8-coordinate geometry to ten Ni and six As atoms. There are a spread of Pr–Ni bond distances ranging from 3.10–3.33 Å. There are two shorter (3.02 Å) and four longer (3.09 Å) Pr–As bond lengths. In the second Pr site, Pr is bonded in a 6-coordinate geometry to nine Ni and six equivalent As atoms. There are three shorter (3.25 Å) and six longer (3.28 Å) Pr–Ni bond lengths. All Pr–As bond lengths are 3.06 Å. Zr is bonded in a 1-coordinate geometry to eight Ni and five As atoms. There are a spread of Zr–Ni bond distances ranging from 2.81–3.03 Å. There are one shorter (2.64 Å) and four longer (2.81 Å) Zr–As bond lengths. There are four inequivalent Ni sites. In the first Ni site, Ni is bonded in a 4-coordinate geometry to two equivalent Pr, two equivalent Zr, and four As atoms. All Ni–As bond lengths are 2.37 Å. In the second Ni site, Ni is bonded in a 4-coordinate geometry to three Pr, one Zr, and four As atoms. There are a spread of Ni–As bond distances ranging from 2.39–2.43 Å. In the third Ni site, Ni is bonded in a 4-coordinate geometry to three Pr, two equivalent Zr, and four As atoms. There are a spread of Ni–As bond distances ranging from 2.44–2.54 Å. In the fourth Ni site, Ni is bonded in a distorted trigonal planar geometry to six equivalent Pr and three equivalent As atoms. All Ni–As bond lengths are 2.34 Å. There are three inequivalent As sites. In the first As site, As is bonded in a 9-coordinate geometry to two equivalent Pr, one Zr, and six Ni atoms. In the second As site, As is bonded in a 9-coordinate geometry to four equivalent Pr and five Ni atoms. In the third As site, As is bonded in a 9-coordinate geometry to two equivalent Pr, two equivalent Zr, and five Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zr2(ZnGa)3 by Materials Project

Zr2(ZnGa)3 crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. Zr is bonded to six Zn and six Ga atoms to form ZrZn6Ga6 cuboctahedra that share corners with twelve equivalent ZrZn6Ga6 cuboctahedra, edges with twelve ZnZr4Zn4Ga4 cuboctahedra, edges with twelve GaZr4Zn6Ga2 cuboctahedra, faces with six equivalent ZrZn6Ga6 cuboctahedra, faces with six ZnZr4Zn4Ga4 cuboctahedra, and faces with six GaZr4Zn6Ga2 cuboctahedra. There are a spread of Zr–Zn bond distances ranging from 2.87–2.92 Å. There are two shorter (2.86 Å) and four longer (2.87 Å) Zr–Ga bond lengths. There are three inequivalent Zn sites. In the first Zn site, Zn is bonded to four equivalent Zr, four equivalent Zn, and four equivalent Ga atoms to form ZnZr4Zn4Ga4 cuboctahedra that share corners with four equivalent ZnZr4Zn4Ga4 cuboctahedra, corners with eight equivalent GaZr4Zn4Ga4 cuboctahedra, edges with eight equivalent ZrZn6Ga6 cuboctahedra, edges with eight equivalent ZnZr4Ga8 cuboctahedra, edges with eight equivalent GaZr4Zn6Ga2 cuboctahedra, faces with four equivalent ZrZn6Ga6 cuboctahedra, faces with six GaZr4Zn6Ga2 cuboctahedra, and faces with eight ZnZr4Zn4Ga4 cuboctahedra. All Zn–Zn bond lengths are 2.87 Å. All Zn–Ga bond lengths are 2.86 Å. In the second Zn site, Zn is bonded to four equivalent Zr and eight Ga atoms to form ZnZr4Ga8 cuboctahedra that share corners with twelve ZnZr4Ga8 cuboctahedra, edges with eight equivalent ZrZn6Ga6 cuboctahedra, edges with eight equivalent ZnZr4Zn4Ga4 cuboctahedra, edges with eight equivalent GaZr4Zn6Ga2 cuboctahedra, faces with four equivalent ZrZn6Ga6 cuboctahedra, faces with six ZnZr4Ga8 cuboctahedra, and faces with eight GaZr4Zn6Ga2 cuboctahedra. There are four shorter (2.87 Å) and four longer (2.92 Å) Zn–Ga bond lengths. In the third Zn site, Zn is bonded to four equivalent Zr, four equivalent Zn, and four equivalent Ga atoms to form ZnZr4Zn4Ga4 cuboctahedra that share corners with twelve ZnZr4Ga8 cuboctahedra, edges with eight equivalent ZrZn6Ga6 cuboctahedra, edges with sixteen GaZr4Zn6Ga2 cuboctahedra, faces with four equivalent ZrZn6Ga6 cuboctahedra, faces with four equivalent GaZr4Zn6Ga2 cuboctahedra, and faces with ten ZnZr4Zn4Ga4 cuboctahedra. All Zn–Ga bond lengths are 2.85 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded to four equivalent Zr, six Zn, and two equivalent Ga atoms to form distorted GaZr4Zn6Ga2 cuboctahedra that share corners with twelve equivalent GaZr4Zn6Ga2 cuboctahedra, edges with four equivalent GaZr4Zn4Ga4 cuboctahedra, edges with eight equivalent ZrZn6Ga6 cuboctahedra, edges with twelve ZnZr4Zn4Ga4 cuboctahedra, faces with four equivalent ZrZn6Ga6 cuboctahedra, faces with six ZnZr4Zn4Ga4 cuboctahedra, and faces with eight GaZr4Zn6Ga2 cuboctahedra. Both Ga–Ga bond lengths are 2.94 Å. In the second Ga site, Ga is bonded to four equivalent Zr, four equivalent Zn, and four equivalent Ga atoms to form distorted GaZr4Zn4Ga4 cuboctahedra that share corners with four equivalent GaZr4Zn4Ga4 cuboctahedra, corners with eight equivalent ZnZr4Zn4Ga4 cuboctahedra, edges with eight equivalent ZrZn6Ga6 cuboctahedra, edges with eight equivalent ZnZr4Zn4Ga4 cuboctahedra, edges with eight equivalent GaZr4Zn6Ga2 cuboctahedra, faces with four equivalent ZrZn6Ga6 cuboctahedra, faces with six ZnZr4Zn4Ga4 cuboctahedra, and faces with eight GaZr4Zn6Ga2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on NaZr(PO4)2 by Materials Project

NaZr(PO4)2 crystallizes in the monoclinic P2/c space group. The structure is three-dimensional. there are two inequivalent Na sites. In the first Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.61–2.95 Å. In the second Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.34–2.65 Å. Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.15 Å. There are two inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three equivalent ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three equivalent ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 12–31°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are eight inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one P atom. In the second O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one P atom. In the third O site, O is bonded in a bent 120 degrees geometry to one Na and one P atom. In the fourth O site, O is bonded in a 1-coordinate geometry to two Na and one P atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the sixth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Zr, and one P atom. In the seventh O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one P atom. In the eighth O site, O is bonded in a linear geometry to one Zr and one P atom.

36 MATERIALS SCIENCE↗

Materials Data on KZrN3O11 by Materials Project

KZrN3O11 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. K is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of K–O bond distances ranging from 2.89–3.39 Å. Zr is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.38 Å. There are three inequivalent N sites. In the first N site, N is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.25 Å) and one longer (1.26 Å) N–O bond length. In the second N site, N is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.23 Å) and two longer (1.29 Å) N–O bond length. In the third N site, N is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.23 Å) and two longer (1.29 Å) N–O bond length. There are eleven inequivalent O sites. In the first O site, O is bonded in a 1-coordinate geometry to one K, one Zr, and one N atom. In the second O site, O is bonded in a 3-coordinate geometry to one K, one Zr, and one N atom. In the third O site, O is bonded in a 3-coordinate geometry to one K, one Zr, and one N atom. In the fourth O site, O is bonded in a single-bond geometry to two equivalent K and one N atom. In the fifth O site, O is bonded in a single-bond geometry to one K and one N atom. In the sixth O site, O is bonded in a distorted single-bond geometry to two equivalent K and one N atom. In the seventh O site, O is bonded in a bent 120 degrees geometry to two equivalent Zr atoms. In the eighth O site, O is bonded in a distorted single-bond geometry to two equivalent K and one N atom. In the ninth O site, O is bonded in a bent 120 degrees geometry to two equivalent Zr atoms. In the tenth O site, O is bonded in a distorted single-bond geometry to one K and one N atom. In the eleventh O site, O is bonded in a 3-coordinate geometry to one K, one Zr, and one N atom.

36 MATERIALS SCIENCE↗