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Materials Data on Na4Zr2Ge5HO16 by Materials Project

Na4Zr2Ge5HO16 crystallizes in the monoclinic P2/c space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first 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 2.43–2.96 Å. In the second Na1+ site, Na1+ is bonded in a 5-coordinate geometry to one H1+ and four O2- atoms. The Na–H bond length is 2.56 Å. There are a spread of Na–O bond distances ranging from 2.29–2.57 Å. Zr+3.50+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six GeO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.10–2.15 Å. There are three inequivalent Ge4+ sites. In the first Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with two equivalent ZrO6 octahedra and corners with two equivalent GeO4 tetrahedra. The corner-sharing octahedral tilt angles are 40°. There is two shorter (1.74 Å) and two longer (1.80 Å) Ge–O bond length. In the second Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with three equivalent ZrO6 octahedra and a cornercorner with one GeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–53°. There are a spread of Ge–O bond distances ranging from 1.75–1.82 Å. In the third Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with two equivalent ZrO6 octahedra and corners with two GeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ge–O bond distances ranging from 1.75–1.81 Å. H1+ is bonded in an L-shaped geometry to two equivalent Na1+ atoms. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+, one Zr+3.50+, and one Ge4+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Zr+3.50+, and one Ge4+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Na1+ and two Ge4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Na1+, one Zr+3.50+, and one Ge4+ atom. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr+3.50+, and one Ge4+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Ge4+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr+3.50+, and one Ge4+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Zr+3.50+, and one Ge4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na4Zr(SiO3)6 by Materials Project

Na4Zr(SiO3)6 crystallizes in the orthorhombic Pnc2 space group. The structure is three-dimensional. there are five inequivalent Na sites. In the first Na site, Na is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Na–O bond distances ranging from 2.30–2.98 Å. In the second 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 2.26–2.91 Å. In the third 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 2.43–2.99 Å. In the fourth 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 2.49–2.89 Å. In the fifth Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.24–2.74 Å. Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.09–2.14 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 31°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the third 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 34°. There are a spread of Si–O bond distances ranging from 1.61–1.64 Å. In the fourth 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 33°. There are a spread of Si–O bond distances ranging from 1.61–1.65 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 two equivalent SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 22°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one ZrO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 33°. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. There are eighteen inequivalent O sites. In the first O site, O is bonded in a distorted L-shaped geometry to one Na and one Si atom. In the second O site, O is bonded in a distorted bent 150 degrees geometry to one Na and two Si atoms. In the third O site, O is bonded in a 2-coordinate geometry to one Na and two Si atoms. In the fourth O site, O is bonded in a 2-coordinate geometry to two Na and two Si atoms. In the fifth O site, O is bonded in a distorted bent 150 degrees geometry to two equivalent Na and two Si atoms. In the sixth O site, O is bonded in a distorted bent 150 degrees geometry to one Na and two Si atoms. In the seventh O site, O is bonded in a trigonal non-coplanar geometry to two equivalent Na and one Si atom. In the eighth O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the ninth O site, O is bonded in a 2-coordinate geometry to two Na, one Zr, and one Si atom. In the tenth O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the eleventh O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the twelfth O site, O is bonded in a bent 150 degrees geometry to one Na and two Si atoms. In the thirteenth O site, O is bonded in an L-shaped geometry to one Na and one Si atom. In the fourteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to two equivalent Na and one Si atom. In the fifteenth O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the sixteenth O site, O is bonded in a distorted bent 120 degrees geometry to one Na and one Si atom. In the seventeenth O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the eighteenth O site, O is bonded in a 2-coordinate geometry to two Na and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on Na2ZrSi3O10 by Materials Project

Na2ZrSi3O10 crystallizes in the orthorhombic P2_12_12_1 space group. The structure is three-dimensional. there are two inequivalent Na sites. In the first Na site, Na is bonded in a 2-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.42–2.90 Å. In the second Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.40–2.91 Å. Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.09–2.15 Å. There are three 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 46–51°. There are a spread of Si–O bond distances ranging from 1.62–1.66 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 and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the third 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 47–50°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. There are ten inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the second O site, O is bonded in a distorted bent 120 degrees geometry to one Na and two Si atoms. In the third O site, O is bonded in a distorted bent 120 degrees geometry to one Na and two Si atoms. In the fourth O site, O is bonded in a single-bond geometry to one Na atom. In the fifth O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the sixth O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one Si atom. In the seventh O site, O is bonded in a distorted trigonal planar geometry to one Na, one Zr, and one Si atom. In the eighth O site, O is bonded in a bent 120 degrees geometry to one Zr and one Si atom. 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 4-coordinate geometry to two Na, one Zr, and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on ZrCrCu by Materials Project

CuCrZr crystallizes in the orthorhombic Imma space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr, six equivalent Cr, and six equivalent Cu atoms. There are two shorter (3.08 Å) and two longer (3.09 Å) Zr–Zr bond lengths. There are two shorter (2.96 Å) and four longer (2.99 Å) Zr–Cr bond lengths. There are four shorter (2.83 Å) and two longer (3.10 Å) Zr–Cu bond lengths. Cr is bonded to six equivalent Zr, two equivalent Cr, and four equivalent Cu atoms to form CrZr6Cr2Cu4 cuboctahedra that share corners with eight equivalent CuZr6Cr4Cu2 cuboctahedra, corners with ten equivalent CrZr6Cr2Cu4 cuboctahedra, edges with six equivalent CrZr6Cr2Cu4 cuboctahedra, faces with six equivalent CrZr6Cr2Cu4 cuboctahedra, and faces with twelve equivalent CuZr6Cr4Cu2 cuboctahedra. Both Cr–Cr bond lengths are 2.37 Å. All Cr–Cu bond lengths are 2.54 Å. Cu is bonded to six equivalent Zr, four equivalent Cr, and two equivalent Cu atoms to form CuZr6Cr4Cu2 cuboctahedra that share corners with eight equivalent CrZr6Cr2Cu4 cuboctahedra, corners with ten equivalent CuZr6Cr4Cu2 cuboctahedra, edges with six equivalent CuZr6Cr4Cu2 cuboctahedra, faces with six equivalent CuZr6Cr4Cu2 cuboctahedra, and faces with twelve equivalent CrZr6Cr2Cu4 cuboctahedra. Both Cu–Cu bond lengths are 2.57 Å.

36 MATERIALS SCIENCE↗

Materials Data on CaZr2PbO6 by Materials Project

CaZr2PbO6 is Ilmenite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.53 Å. In the second Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.49 Å. In the third Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.49 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.41–2.53 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 22–33°. There are a spread of Zr–O bond distances ranging from 2.06–2.23 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 23–33°. There are a spread of Zr–O bond distances ranging from 2.07–2.23 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 24–31°. There are a spread of Zr–O bond distances ranging from 2.07–2.21 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 23–33°. There are a spread of Zr–O bond distances ranging from 2.07–2.20 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 24–32°. There are a spread of Zr–O bond distances ranging from 2.08–2.21 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 23–33°. There are a spread of Zr–O bond distances ranging from 2.06–2.24 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 24–32°. There are a spread of Zr–O bond distances ranging from 2.06–2.23 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 22–33°. There are a spread of Zr–O bond distances ranging from 2.07–2.22 Å. There are four inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.54–2.62 Å. In the second Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.50–2.68 Å. In the third Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.52–2.70 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.55–2.64 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Zr4+ and two Pb2+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Zr4+ and two Pb2+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the seventh O2- site, O2- is bonded to two Ca2+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OCa2Zr2 tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the eleventh O2- site, O2- is bonded to two Ca2+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OCa2Zr2 tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Zr4+ and two Pb2+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Zr4+ and two Pb2+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the twentieth O2- site, O2- is bonded to two Ca2+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OCa2Zr2 tetrahedra. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom. In the twenty-third O2- site, O2- is bonded to two Ca2+ and two Zr4+ atoms to form distorted corner-sharing OCa2Zr2 tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Zr4+, and one Pb2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on ZrSc2 by Materials Project

Sc2Zr is Magnesium-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Sc sites. In the first Sc site, Sc is bonded to seven Sc and five equivalent Zr atoms to form ScZr5Sc7 cuboctahedra that share corners with six equivalent ZrZr3Sc9 cuboctahedra, corners with twelve ScZr5Sc7 cuboctahedra, edges with five equivalent ZrZr3Sc9 cuboctahedra, edges with thirteen ScZr5Sc7 cuboctahedra, faces with eight equivalent ZrZr3Sc9 cuboctahedra, and faces with twelve ScZr5Sc7 cuboctahedra. There are a spread of Sc–Sc bond distances ranging from 3.21–3.35 Å. There are a spread of Sc–Zr bond distances ranging from 3.16–3.28 Å. In the second Sc site, Sc is bonded to eight Sc and four equivalent Zr atoms to form ScZr4Sc8 cuboctahedra that share corners with six equivalent ZrZr3Sc9 cuboctahedra, corners with twelve ScZr5Sc7 cuboctahedra, edges with nine ScZr5Sc7 cuboctahedra, edges with nine equivalent ZrZr3Sc9 cuboctahedra, faces with six equivalent ZrZr3Sc9 cuboctahedra, and faces with fourteen ScZr5Sc7 cuboctahedra. There are a spread of Sc–Sc bond distances ranging from 3.09–3.32 Å. There are two shorter (3.19 Å) and two longer (3.25 Å) Sc–Zr bond lengths. Zr is bonded to nine Sc and three equivalent Zr atoms to form ZrZr3Sc9 cuboctahedra that share corners with six equivalent ZrZr3Sc9 cuboctahedra, corners with twelve ScZr5Sc7 cuboctahedra, edges with four equivalent ZrZr3Sc9 cuboctahedra, edges with fourteen ScZr5Sc7 cuboctahedra, faces with six equivalent ZrZr3Sc9 cuboctahedra, and faces with fourteen ScZr5Sc7 cuboctahedra. There are one shorter (3.15 Å) and two longer (3.28 Å) Zr–Zr bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on ZrS2O13 by Materials Project

ZrS2O11O2 crystallizes in the triclinic P-1 space group. The structure is zero-dimensional and consists of two oxygen molecules and one ZrS2O11 cluster. In the ZrS2O11 cluster, Zr is bonded in a 5-coordinate geometry to six O atoms. There are a spread of Zr–O bond distances ranging from 1.88–2.81 Å. There are two inequivalent S sites. In the first S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.45–1.55 Å. In the second S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.45–1.53 Å. There are eleven inequivalent O sites. In the first O site, O is bonded in a single-bond geometry to one Zr atom. In the second O site, O is bonded in a bent 150 degrees geometry to one Zr and one S atom. In the third O site, O is bonded in a water-like geometry to one Zr and one S atom. In the fourth O site, O is bonded in a water-like geometry to one Zr and one S atom. In the fifth O site, O is bonded in a single-bond geometry to one O atom. The O–O bond length is 1.23 Å. In the sixth O site, O is bonded in a water-like geometry to one Zr and one O atom. In the seventh O site, O is bonded in a single-bond geometry to one S atom. In the eighth O site, O is bonded in a single-bond geometry to one S atom. In the ninth O site, O is bonded in a single-bond geometry to one S atom. In the tenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one S atom. In the eleventh O site, O is bonded in a single-bond geometry to one S atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Zr8V3(P3O16)3 by Materials Project

Li4Zr8V3(P3O16)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one VO4 tetrahedra, corners with three PO4 tetrahedra, and edges with two ZrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.01–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one VO4 tetrahedra, corners with three PO4 tetrahedra, and edges with two ZrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.04–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one VO4 tetrahedra, corners with three PO4 tetrahedra, and edges with two ZrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.08 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.09 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 a cornercorner with one VO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.05–2.15 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two VO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.05–2.14 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two VO4 tetrahedra and corners with four PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.13 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one VO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.08–2.13 Å. In the fifth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two VO4 tetrahedra, corners with four PO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Zr–O bond distances ranging from 2.03–2.16 Å. In the sixth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one VO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Zr–O bond distances ranging from 2.01–2.16 Å. In the seventh Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two VO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Zr–O bond distances ranging from 2.03–2.16 Å. In the eighth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one VO4 tetrahedra, corners with five PO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Zr–O bond distances ranging from 2.05–2.21 Å. There are three inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four ZrO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 14–38°. There are a spread of V–O bond distances ranging from 1.72–1.75 Å. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four ZrO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 11–40°. There are a spread of V–O bond distances ranging from 1.71–1.75 Å. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four ZrO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 14–38°. There are a spread of V–O bond distances ranging from 1.71–1.75 Å. There are nine inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 12–33°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 10–40°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 8–40°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 8–38°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 13–41°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 17–38°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 18–37°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 15–39°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the ninth 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 18–39°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a linear geometry to one Zr4+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a linear geometry to one Zr4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Zr4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Zr4+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one V5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one V5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one V5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Zr4+ and one V5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Zr4+ and one V5+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to one Zr4+ and one V5+ atom. In the twentieth O2- site, O2- is bonded in a linear geometry to one Zr4+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Zr4+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Zr4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Zr4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Zr4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Zr4+, and one V5+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Zr4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Zr4+, and one V5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Zr4+, and one V5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted linear geometry to one Zr4+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted linear geometry to one Zr4+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Zr4+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Zr4+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Zr4+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Zr4+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Zr4+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Zr4+, and one P5+ atom. In the forty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Zr4+, and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Zr4+, and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one V5+ atom. In the forty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one V5+ atom. In the forty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one V5+ atom. In the forty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Zr4+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Tm5Zr3(Ni4As3)4 by Materials Project

Tm5Zr3(Ni4As3)4 crystallizes in the hexagonal P-62m space group. The structure is three-dimensional. there are two inequivalent Tm sites. In the first Tm site, Tm is bonded in a 8-coordinate geometry to ten Ni and six As atoms. There are a spread of Tm–Ni bond distances ranging from 3.02–3.33 Å. There are two shorter (2.95 Å) and four longer (3.00 Å) Tm–As bond lengths. In the second Tm site, Tm is bonded in a 6-coordinate geometry to nine Ni and six equivalent As atoms. There are six shorter (3.20 Å) and three longer (3.24 Å) Tm–Ni bond lengths. All Tm–As bond lengths are 2.96 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 2.82–2.97 Å. There are one shorter (2.65 Å) and four longer (2.78 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 Tm, two equivalent Zr, and four As atoms. There are two shorter (2.33 Å) and two longer (2.43 Å) Ni–As bond lengths. In the second Ni site, Ni is bonded in a 4-coordinate geometry to three Tm, one Zr, and four As atoms. There are a spread of Ni–As bond distances ranging from 2.33–2.42 Å. In the third Ni site, Ni is bonded in a 4-coordinate geometry to three Tm, two equivalent Zr, and four As atoms. There are a spread of Ni–As bond distances ranging from 2.38–2.51 Å. In the fourth Ni site, Ni is bonded in a distorted trigonal planar geometry to six equivalent Tm and three equivalent As atoms. All Ni–As bond lengths are 2.25 Å. There are three inequivalent As sites. In the first As site, As is bonded in a 9-coordinate geometry to two equivalent Tm, one Zr, and six Ni atoms. In the second As site, As is bonded in a 9-coordinate geometry to four equivalent Tm and five Ni atoms. In the third As site, As is bonded in a 9-coordinate geometry to two equivalent Tm, two equivalent Zr, and five Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiZr2Pb by Materials Project

LiZr2Pb crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. Li is bonded to six equivalent Zr atoms to form distorted LiZr6 cuboctahedra that share corners with twelve equivalent ZrLi3Zr6Pb3 cuboctahedra, corners with twelve equivalent PbZr6 cuboctahedra, edges with six equivalent LiZr6 cuboctahedra, edges with twelve equivalent ZrLi3Zr6Pb3 cuboctahedra, and faces with two equivalent PbZr6 cuboctahedra. All Li–Zr bond lengths are 3.21 Å. Zr is bonded to three equivalent Li, six equivalent Zr, and three equivalent Pb atoms to form distorted ZrLi3Zr6Pb3 cuboctahedra that share corners with six equivalent LiZr6 cuboctahedra, corners with six equivalent PbZr6 cuboctahedra, corners with eighteen equivalent ZrLi3Zr6Pb3 cuboctahedra, edges with six equivalent LiZr6 cuboctahedra, edges with six equivalent ZrLi3Zr6Pb3 cuboctahedra, edges with six equivalent PbZr6 cuboctahedra, and faces with eight equivalent ZrLi3Zr6Pb3 cuboctahedra. All Zr–Zr bond lengths are 3.24 Å. All Zr–Pb bond lengths are 3.19 Å. Pb is bonded to six equivalent Zr atoms to form distorted PbZr6 cuboctahedra that share corners with twelve equivalent LiZr6 cuboctahedra, corners with twelve equivalent ZrLi3Zr6Pb3 cuboctahedra, edges with six equivalent PbZr6 cuboctahedra, edges with twelve equivalent ZrLi3Zr6Pb3 cuboctahedra, and faces with two equivalent LiZr6 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on ZrCrW by Materials Project

ZrWCr crystallizes in the orthorhombic Imma space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr, six equivalent W, and six equivalent Cr atoms. There are two shorter (3.20 Å) and two longer (3.23 Å) Zr–Zr bond lengths. There are four shorter (3.06 Å) and two longer (3.08 Å) Zr–W bond lengths. There are two shorter (3.04 Å) and four longer (3.11 Å) Zr–Cr bond lengths. W is bonded to six equivalent Zr, two equivalent W, and four equivalent Cr atoms to form distorted WZr6Cr4W2 cuboctahedra that share corners with eight equivalent CrZr6Cr2W4 cuboctahedra, corners with ten equivalent WZr6Cr4W2 cuboctahedra, edges with six equivalent WZr6Cr4W2 cuboctahedra, faces with six equivalent WZr6Cr4W2 cuboctahedra, and faces with twelve equivalent CrZr6Cr2W4 cuboctahedra. Both W–W bond lengths are 2.67 Å. All W–Cr bond lengths are 2.62 Å. Cr is bonded to six equivalent Zr, four equivalent W, and two equivalent Cr atoms to form distorted CrZr6Cr2W4 cuboctahedra that share corners with eight equivalent WZr6Cr4W2 cuboctahedra, corners with ten equivalent CrZr6Cr2W4 cuboctahedra, edges with six equivalent CrZr6Cr2W4 cuboctahedra, faces with six equivalent CrZr6Cr2W4 cuboctahedra, and faces with twelve equivalent WZr6Cr4W2 cuboctahedra. Both Cr–Cr bond lengths are 2.60 Å.

36 MATERIALS SCIENCE↗

Materials Data on Sm2ZrCo16 by Materials Project

Sm2Co16Zr1 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are two inequivalent Sm sites. In the first Sm site, Sm is bonded in a 1-coordinate geometry to one Zr and nineteen Co atoms. The Sm–Zr bond length is 3.10 Å. There are a spread of Sm–Co bond distances ranging from 2.70–3.26 Å. In the second Sm site, Sm is bonded in a 12-coordinate geometry to eighteen Co atoms. There are a spread of Sm–Co bond distances ranging from 2.95–3.25 Å. Zr is bonded in a 1-coordinate geometry to one Sm and thirteen Co atoms. There are a spread of Zr–Co bond distances ranging from 2.40–2.74 Å. There are six inequivalent Co sites. In the first Co site, Co is bonded in a distorted linear geometry to one Sm, one Zr, and twelve Co atoms. There are a spread of Co–Co bond distances ranging from 2.55–2.80 Å. In the second Co site, Co is bonded in a 12-coordinate geometry to two Sm, one Zr, and nine Co atoms. There are a spread of Co–Co bond distances ranging from 2.41–2.58 Å. In the third Co site, Co is bonded to two equivalent Sm and ten Co atoms to form CoSm2Co10 cuboctahedra that share corners with fourteen CoSm2Zr2Co8 cuboctahedra, edges with six CoSm3Co9 cuboctahedra, and faces with ten CoSm2Co10 cuboctahedra. All Co–Co bond lengths are 2.43 Å. In the fourth Co site, Co is bonded to two equivalent Sm, two equivalent Zr, and eight Co atoms to form distorted CoSm2Zr2Co8 cuboctahedra that share corners with fourteen CoSm2Co10 cuboctahedra, edges with six CoSm3Co9 cuboctahedra, and faces with ten CoSm2Co10 cuboctahedra. All Co–Co bond lengths are 2.47 Å. In the fifth Co site, Co is bonded to three Sm and nine Co atoms to form a mixture of distorted edge, corner, and face-sharing CoSm3Co9 cuboctahedra. Both Co–Co bond lengths are 2.44 Å. In the sixth Co site, Co is bonded to three Sm, one Zr, and eight Co atoms to form distorted CoSm3ZrCo8 cuboctahedra that share corners with fifteen CoSm2Co10 cuboctahedra, edges with eight CoSm2Co10 cuboctahedra, and faces with ten CoSm2Zr2Co8 cuboctahedra. Both Co–Co bond lengths are 2.39 Å.

36 MATERIALS SCIENCE↗

Materials Data on ZrTiNb by Materials Project

TiNbZr crystallizes in the orthorhombic Fmm2 space group. The structure is three-dimensional. Zr is bonded in a 8-coordinate geometry to four equivalent Zr, two equivalent Ti, and two equivalent Nb atoms. All Zr–Zr bond lengths are 2.91 Å. Both Zr–Ti bond lengths are 3.09 Å. Both Zr–Nb bond lengths are 3.06 Å. Ti is bonded in a 8-coordinate geometry to two equivalent Zr, four equivalent Ti, and two equivalent Nb atoms. All Ti–Ti bond lengths are 2.91 Å. Both Ti–Nb bond lengths are 2.76 Å. Nb is bonded in a 12-coordinate geometry to two equivalent Zr and two equivalent Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zr2V3Fe by Materials Project

Zr2V3Fe crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr, nine equivalent V, and three equivalent Fe atoms. There are one shorter (3.07 Å) and three longer (3.18 Å) Zr–Zr bond lengths. There are three shorter (2.94 Å) and six longer (3.03 Å) Zr–V bond lengths. All Zr–Fe bond lengths are 3.06 Å. V is bonded to six equivalent Zr, four equivalent V, and two equivalent Fe atoms to form VZr6V4Fe2 cuboctahedra that share corners with four equivalent FeZr6V6 cuboctahedra, corners with fourteen equivalent VZr6V4Fe2 cuboctahedra, edges with six equivalent VZr6V4Fe2 cuboctahedra, faces with six equivalent FeZr6V6 cuboctahedra, and faces with twelve equivalent VZr6V4Fe2 cuboctahedra. All V–V bond lengths are 2.61 Å. Both V–Fe bond lengths are 2.53 Å. Fe is bonded to six equivalent Zr and six equivalent V atoms to form FeZr6V6 cuboctahedra that share corners with six equivalent FeZr6V6 cuboctahedra, corners with twelve equivalent VZr6V4Fe2 cuboctahedra, edges with six equivalent FeZr6V6 cuboctahedra, and faces with eighteen equivalent VZr6V4Fe2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on La4Zr8Ni15As16 by Materials Project

La4Zr8Ni15As16 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 6-coordinate geometry to six As3- atoms. There are a spread of La–As bond distances ranging from 3.03–3.12 Å. In the second La3+ site, La3+ is bonded in a 6-coordinate geometry to six As3- atoms. There are two shorter (3.02 Å) and four longer (3.11 Å) La–As bond lengths. In the third La3+ site, La3+ is bonded in a 7-coordinate geometry to seven As3- atoms. There are a spread of La–As bond distances ranging from 3.06–3.47 Å. In the fourth La3+ site, La3+ is bonded in a 6-coordinate geometry to six As3- atoms. There are two shorter (3.02 Å) and four longer (3.11 Å) La–As bond lengths. There are eight inequivalent Zr2+ sites. In the first Zr2+ site, Zr2+ is bonded to six As3- atoms to form ZrAs6 octahedra that share corners with two equivalent ZrAs5 square pyramids, corners with six NiAs4 tetrahedra, corners with two equivalent ZrAs5 trigonal bipyramids, edges with four ZrAs6 octahedra, an edgeedge with one ZrAs5 square pyramid, edges with four NiAs4 tetrahedra, and a faceface with one NiAs4 tetrahedra. There are a spread of Zr–As bond distances ranging from 2.72–2.85 Å. In the second Zr2+ site, Zr2+ is bonded to six As3- atoms to form ZrAs6 octahedra that share corners with seven NiAs4 tetrahedra, corners with four ZrAs5 trigonal bipyramids, edges with four ZrAs6 octahedra, edges with four NiAs4 tetrahedra, an edgeedge with one ZrAs5 trigonal bipyramid, and a faceface with one NiAs4 tetrahedra. There are a spread of Zr–As bond distances ranging from 2.72–2.82 Å. In the third Zr2+ site, Zr2+ is bonded to six As3- atoms to form ZrAs6 octahedra that share corners with two equivalent ZrAs5 square pyramids, corners with seven NiAs4 tetrahedra, corners with two equivalent ZrAs5 trigonal bipyramids, edges with four ZrAs6 octahedra, edges with four NiAs4 tetrahedra, an edgeedge with one ZrAs5 trigonal bipyramid, and a faceface with one NiAs4 tetrahedra. There are a spread of Zr–As bond distances ranging from 2.72–2.83 Å. In the fourth Zr2+ site, Zr2+ is bonded to six As3- atoms to form ZrAs6 octahedra that share corners with seven NiAs4 tetrahedra, corners with four ZrAs5 trigonal bipyramids, edges with four ZrAs6 octahedra, edges with four NiAs4 tetrahedra, an edgeedge with one ZrAs5 trigonal bipyramid, and a faceface with one NiAs4 tetrahedra. There are a spread of Zr–As bond distances ranging from 2.73–2.84 Å. In the fifth Zr2+ site, Zr2+ is bonded to five As3- atoms to form distorted ZrAs5 square pyramids that share corners with four ZrAs6 octahedra, corners with five NiAs4 tetrahedra, an edgeedge with one ZrAs6 octahedra, edges with two equivalent ZrAs5 square pyramids, edges with five NiAs4 tetrahedra, and edges with two equivalent ZrAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 43–45°. There are a spread of Zr–As bond distances ranging from 2.74–2.83 Å. In the sixth Zr2+ site, Zr2+ is bonded to five As3- atoms to form distorted ZrAs5 trigonal bipyramids that share corners with four ZrAs6 octahedra, corners with seven NiAs4 tetrahedra, an edgeedge with one ZrAs6 octahedra, edges with six NiAs4 tetrahedra, and edges with four ZrAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 41–45°. There are one shorter (2.74 Å) and four longer (2.80 Å) Zr–As bond lengths. In the seventh Zr2+ site, Zr2+ is bonded to five As3- atoms to form distorted ZrAs5 trigonal bipyramids that share corners with four ZrAs6 octahedra, corners with five NiAs4 tetrahedra, an edgeedge with one ZrAs6 octahedra, edges with two equivalent ZrAs5 square pyramids, edges with six NiAs4 tetrahedra, and edges with two equivalent ZrAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of Zr–As bond distances ranging from 2.71–2.82 Å. In the eighth Zr2+ site, Zr2+ is bonded to five As3- atoms to form distorted ZrAs5 trigonal bipyramids that share corners with four ZrAs6 octahedra, corners with seven NiAs4 tetrahedra, an edgeedge with one ZrAs6 octahedra, edges with six NiAs4 tetrahedra, and edges with four ZrAs5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 41–45°. There are one shorter (2.74 Å) and four longer (2.80 Å) Zr–As bond lengths. There are fifteen inequivalent Ni+1.33+ sites. In the first Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with four ZrAs6 octahedra, corners with two equivalent ZrAs5 square pyramids, corners with eight NiAs4 tetrahedra, an edgeedge with one ZrAs5 square pyramid, edges with two equivalent ZrAs5 trigonal bipyramids, and a faceface with one ZrAs6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Ni–As bond distances ranging from 2.39–2.44 Å. In the second Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with four ZrAs6 octahedra, corners with nine NiAs4 tetrahedra, corners with two equivalent ZrAs5 trigonal bipyramids, edges with three ZrAs5 trigonal bipyramids, and a faceface with one ZrAs6 octahedra. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Ni–As bond distances ranging from 2.40–2.43 Å. In the third Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with four ZrAs6 octahedra, corners with seven NiAs4 tetrahedra, corners with two equivalent ZrAs5 trigonal bipyramids, edges with two equivalent ZrAs5 square pyramids, an edgeedge with one ZrAs5 trigonal bipyramid, and a faceface with one ZrAs6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Ni–As bond distances ranging from 2.39–2.47 Å. In the fourth Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with four ZrAs6 octahedra, corners with nine NiAs4 tetrahedra, corners with two equivalent ZrAs5 trigonal bipyramids, edges with three ZrAs5 trigonal bipyramids, and a faceface with one ZrAs6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Ni–As bond distances ranging from 2.40–2.43 Å. In the fifth Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with two equivalent ZrAs6 octahedra, corners with ten NiAs4 tetrahedra, edges with two equivalent ZrAs6 octahedra, and edges with three NiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–58°. There are two shorter (2.44 Å) and two longer (2.46 Å) Ni–As bond lengths. In the sixth Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with two equivalent ZrAs6 octahedra, corners with nine NiAs4 tetrahedra, edges with two equivalent ZrAs6 octahedra, and edges with three NiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 23–59°. There are a spread of Ni–As bond distances ranging from 2.43–2.48 Å. In the seventh Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with two equivalent ZrAs6 octahedra, corners with eight NiAs4 tetrahedra, edges with two equivalent ZrAs6 octahedra, and edges with three NiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 21–59°. There are a spread of Ni–As bond distances ranging from 2.43–2.47 Å. In the eighth Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with two equivalent ZrAs6 octahedra, corners with ten NiAs4 tetrahedra, edges with two equivalent ZrAs6 octahedra, and edges with three NiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 21–58°. There are a spread of Ni–As bond distances ranging from 2.44–2.46 Å. In the ninth Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share a cornercorner with one ZrAs5 square pyramid, corners with nine NiAs4 tetrahedra, edges with two equivalent ZrAs6 octahedra, edges with three NiAs4 tetrahedra, and edges with two equivalent ZrAs5 trigonal bipyramids. There are three shorter (2.46 Å) and one longer (2.48 Å) Ni–As bond lengths. In the tenth Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with ten NiAs4 tetrahedra, a cornercorner with one ZrAs5 trigonal bipyramid, edges with two equivalent ZrAs6 octahedra, edges with three NiAs4 tetrahedra, and edges with two equivalent ZrAs5 trigonal bipyramids. There are a spread of Ni–As bond distances ranging from 2.43–2.47 Å. In the eleventh Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with ten NiAs4 tetrahedra, a cornercorner with one ZrAs5 trigonal bipyramid, edges with two equivalent ZrAs6 octahedra, edges with two equivalent ZrAs5 square pyramids, and an edgeedge with one NiAs4 tetrahedra. There are a spread of Ni–As bond distances ranging from 2.41–2.47 Å. In the twelfth Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share corners with ten NiAs4 tetrahedra, a cornercorner with one ZrAs5 trigonal bipyramid, edges with two equivalent ZrAs6 octahedra, edges with three NiAs4 tetrahedra, and edges with two equivalent ZrAs5 trigonal bipyramids. There are a spread of Ni–As bond distances ranging from 2.44–2.48 Å. In the thirteenth Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share a cornercorner with one ZrAs6 octahedra, corners with nine NiAs4 tetrahedra, corners with four ZrAs5 trigonal bipyramids, edges with four NiAs4 tetrahedra, and an edgeedge with one ZrAs5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ni–As bond distances ranging from 2.40–2.46 Å. In the fourteenth Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share a cornercorner with one ZrAs6 octahedra, corners with two equivalent ZrAs5 square pyramids, corners with nine NiAs4 tetrahedra, corners with two equivalent ZrAs5 trigonal bipyramids, edges with two equivalent NiAs4 tetrahedra, and an edgeedge with one ZrAs5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ni–As bond distances ranging from 2.39–2.46 Å. In the fifteenth Ni+1.33+ site, Ni+1.33+ is bonded to four As3- atoms to form NiAs4 tetrahedra that share a cornercorner with one ZrAs6 octahedra, corners with nine NiAs4 tetrahedra, corners with four ZrAs5 trigonal bipyramids, edges with four NiAs4 tetrahedra, and an edgeedge with one ZrAs5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 64°. There are a spread of Ni–As bond distances ranging from 2.40–2.45 Å. There are sixteen inequivalent As3- sites. In the first As3- site, As3- is bonded in a 8-coordinate geometry to five Zr2+ and three Ni+1.33+ atoms. In the second As3- site, As3- is bonded in a 8-coordinate geometry to five Zr2+ and three Ni+1.33+ atoms. In the third As3- site, As3- is bonded in a 8-coordinate geometry to five Zr2+ and three Ni+1.33+ atoms. In the fourth As3- site, As3- is bonded in a 8-coordinate geometry to five Zr2+ and three Ni+1.33+ atoms. In the fifth As3- site, As3- is bonded to two equivalent La3+, three Zr2+, and two Ni+1.33+ atoms to form distorted edge-sharing AsLa2Zr3Ni2 pentagonal bipyramids. In the sixth As3- site, As3- is bonded in a 7-coordinate geometry to two equivalent La3+, three Zr2+, and two Ni+1.33+ atoms. In the seventh As3- site, As3- is bonded to two equivalent La3+, three Zr2+, and two Ni+1.33+ atoms to form distorted edge-sharing AsLa2Zr3Ni2 pentagonal bipyramids. In the eighth As3- site, As3- is bonded in a 7-coordinate geometry to two equivalent La3+, three Zr2+, and two Ni+1.33+ atoms. In the ninth As3- site, As3- is bonded in a 8-coordinate geometry to two equivalent La3+,

36 MATERIALS SCIENCE↗

Materials Data on ZrAlCu by Materials Project

CuZrAl crystallizes in the orthorhombic Imma space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr, six equivalent Cu, and six equivalent Al atoms. There are two shorter (3.16 Å) and two longer (3.20 Å) Zr–Zr bond lengths. There are two shorter (3.01 Å) and four longer (3.07 Å) Zr–Cu bond lengths. There are two shorter (3.02 Å) and four longer (3.04 Å) Zr–Al bond lengths. Cu is bonded to six equivalent Zr, two equivalent Cu, and four equivalent Al atoms to form CuZr6Al4Cu2 cuboctahedra that share corners with eight equivalent AlZr6Al2Cu4 cuboctahedra, corners with ten equivalent CuZr6Al4Cu2 cuboctahedra, edges with six equivalent CuZr6Al4Cu2 cuboctahedra, faces with six equivalent CuZr6Al4Cu2 cuboctahedra, and faces with twelve equivalent AlZr6Al2Cu4 cuboctahedra. Both Cu–Cu bond lengths are 2.58 Å. All Cu–Al bond lengths are 2.59 Å. Al is bonded to six equivalent Zr, four equivalent Cu, and two equivalent Al atoms to form distorted AlZr6Al2Cu4 cuboctahedra that share corners with eight equivalent CuZr6Al4Cu2 cuboctahedra, corners with ten equivalent AlZr6Al2Cu4 cuboctahedra, edges with six equivalent AlZr6Al2Cu4 cuboctahedra, faces with six equivalent AlZr6Al2Cu4 cuboctahedra, and faces with twelve equivalent CuZr6Al4Cu2 cuboctahedra. Both Al–Al bond lengths are 2.64 Å.

36 MATERIALS SCIENCE↗

Materials Data on Zr2GaCo3 by Materials Project

Zr2Co3Ga crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Zr is bonded in a 12-coordinate geometry to four equivalent Zr, nine equivalent Co, and three equivalent Ga atoms. There are one shorter (2.94 Å) and three longer (3.09 Å) Zr–Zr bond lengths. There are three shorter (2.81 Å) and six longer (2.94 Å) Zr–Co bond lengths. All Zr–Ga bond lengths are 2.98 Å. Co is bonded to six equivalent Zr, four equivalent Co, and two equivalent Ga atoms to form distorted CoZr6Ga2Co4 cuboctahedra that share corners with four equivalent GaZr6Co6 cuboctahedra, corners with fourteen equivalent CoZr6Ga2Co4 cuboctahedra, edges with six equivalent CoZr6Ga2Co4 cuboctahedra, faces with six equivalent GaZr6Co6 cuboctahedra, and faces with twelve equivalent CoZr6Ga2Co4 cuboctahedra. There are two shorter (2.47 Å) and two longer (2.63 Å) Co–Co bond lengths. Both Co–Ga bond lengths are 2.47 Å. Ga is bonded to six equivalent Zr and six equivalent Co atoms to form GaZr6Co6 cuboctahedra that share corners with twelve equivalent CoZr6Ga2Co4 cuboctahedra, edges with six equivalent GaZr6Co6 cuboctahedra, faces with two equivalent GaZr6Co6 cuboctahedra, and faces with eighteen equivalent CoZr6Ga2Co4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Zr3CoSe6 by Materials Project

Zr3CoSe6 crystallizes in the trigonal R-3 space group. The structure is three-dimensional. there are two inequivalent Zr+3.33+ sites. In the first Zr+3.33+ site, Zr+3.33+ is bonded to six equivalent Se2- atoms to form ZrSe6 octahedra that share corners with six equivalent CoSe6 octahedra and edges with six equivalent ZrSe6 octahedra. The corner-sharing octahedral tilt angles are 48°. All Zr–Se bond lengths are 2.72 Å. In the second Zr+3.33+ site, Zr+3.33+ is bonded to six equivalent Se2- atoms to form ZrSe6 octahedra that share corners with three equivalent CoSe6 octahedra, edges with six ZrSe6 octahedra, and a faceface with one CoSe6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are three shorter (2.72 Å) and three longer (2.73 Å) Zr–Se bond lengths. Co2+ is bonded to six equivalent Se2- atoms to form CoSe6 octahedra that share corners with twelve ZrSe6 octahedra and faces with two equivalent ZrSe6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. All Co–Se bond lengths are 2.56 Å. Se2- is bonded in a rectangular see-saw-like geometry to three Zr+3.33+ and one Co2+ atom.

36 MATERIALS SCIENCE↗