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Materials Data on Pr5Ga3 by Materials Project

Pr5Ga3 crystallizes in the tetragonal P4/ncc space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 5-coordinate geometry to five Ga atoms. There are a spread of Pr–Ga bond distances ranging from 3.14–3.42 Å. In the second Pr site, Pr is bonded to five Ga atoms to form distorted corner-sharing PrGa5 square pyramids. There are one shorter (3.18 Å) and four longer (3.22 Å) Pr–Ga bond lengths. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded in a 9-coordinate geometry to nine Pr atoms. In the second Ga site, Ga is bonded in a 9-coordinate geometry to eight Pr and one Ga atom. The Ga–Ga bond length is 2.67 Å.

36 MATERIALS SCIENCE↗

Materials Data on La5Ga3 by Materials Project

La5Ga3 crystallizes in the tetragonal P4/ncc space group. The structure is three-dimensional. there are two inequivalent La sites. In the first La site, La is bonded to five Ga atoms to form distorted corner-sharing LaGa5 square pyramids. There are one shorter (3.18 Å) and four longer (3.27 Å) La–Ga bond lengths. In the second La site, La is bonded in a 5-coordinate geometry to five Ga atoms. There are a spread of La–Ga bond distances ranging from 3.19–3.44 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded in a 9-coordinate geometry to eight La and one Ga atom. The Ga–Ga bond length is 2.68 Å. In the second Ga site, Ga is bonded in a 9-coordinate geometry to nine La atoms.

36 MATERIALS SCIENCE↗

Materials Data on Y5Ga3 by Materials Project

Y5Ga3 crystallizes in the tetragonal P4/ncc space group. The structure is three-dimensional. there are two inequivalent Y sites. In the first Y site, Y is bonded to five Ga atoms to form a mixture of distorted face, edge, and corner-sharing YGa5 trigonal bipyramids. There are a spread of Y–Ga bond distances ranging from 3.07–3.21 Å. In the second Y site, Y is bonded in a 4-coordinate geometry to six Ga atoms. There are a spread of Y–Ga bond distances ranging from 3.04–3.65 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded in a 9-coordinate geometry to eight Y and one Ga atom. The Ga–Ga bond length is 2.66 Å. In the second Ga site, Ga is bonded in a 10-coordinate geometry to ten Y atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ga12Ag2Te19 by Materials Project

Ag2Ga12Te19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ag1+ sites. In the first Ag1+ site, Ag1+ is bonded in a 3-coordinate geometry to three Te2- atoms. There are a spread of Ag–Te bond distances ranging from 2.77–3.03 Å. In the second Ag1+ site, Ag1+ is bonded in a 4-coordinate geometry to four Te2- atoms. There are a spread of Ag–Te bond distances ranging from 2.85–3.25 Å. There are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four Te2- atoms to form a mixture of edge and corner-sharing GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.59–2.78 Å. In the second Ga3+ site, Ga3+ is bonded in a trigonal planar geometry to three Te2- atoms. There are a spread of Ga–Te bond distances ranging from 2.51–2.63 Å. In the third Ga3+ site, Ga3+ is bonded to four Te2- atoms to form corner-sharing GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.64–2.76 Å. In the fourth Ga3+ site, Ga3+ is bonded in a trigonal planar geometry to three Te2- atoms. There are a spread of Ga–Te bond distances ranging from 2.57–2.62 Å. In the fifth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form corner-sharing GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.62–2.83 Å. In the sixth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form a mixture of edge and corner-sharing GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.61–2.72 Å. In the seventh Ga3+ site, Ga3+ is bonded to four Te2- atoms to form a mixture of edge and corner-sharing GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.60–2.74 Å. In the eighth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form a mixture of edge and corner-sharing GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.62–2.77 Å. In the ninth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form corner-sharing GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.66–2.75 Å. In the tenth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form corner-sharing GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.67–2.79 Å. In the eleventh Ga3+ site, Ga3+ is bonded to four Te2- atoms to form a mixture of edge and corner-sharing GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.62–2.74 Å. In the twelfth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form a mixture of edge and corner-sharing GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.58–2.78 Å. There are nineteen inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in an L-shaped geometry to two Ga3+ atoms. In the second Te2- site, Te2- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms. In the third Te2- site, Te2- is bonded in a 3-coordinate geometry to one Ag1+ and two Ga3+ atoms. In the fourth Te2- site, Te2- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms. In the fifth Te2- site, Te2- is bonded in an L-shaped geometry to two Ga3+ atoms. In the sixth Te2- site, Te2- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the seventh Te2- site, Te2- is bonded in an L-shaped geometry to two Ga3+ atoms. In the eighth Te2- site, Te2- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms. In the ninth Te2- site, Te2- is bonded in an L-shaped geometry to two Ga3+ atoms. In the tenth Te2- site, Te2- is bonded in a distorted trigonal non-coplanar geometry to one Ag1+ and two Ga3+ atoms. In the eleventh Te2- site, Te2- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the twelfth Te2- site, Te2- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the thirteenth Te2- site, Te2- is bonded in a 3-coordinate geometry to one Ag1+ and two Ga3+ atoms. In the fourteenth Te2- site, Te2- is bonded in a 2-coordinate geometry to two Ag1+ and two Ga3+ atoms. In the fifteenth Te2- site, Te2- is bonded in a 3-coordinate geometry to one Ag1+ and two Ga3+ atoms. In the sixteenth Te2- site, Te2- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the seventeenth Te2- site, Te2- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms. In the eighteenth Te2- site, Te2- is bonded in a 3-coordinate geometry to one Ag1+ and two Ga3+ atoms. In the nineteenth Te2- site, Te2- is bonded in an L-shaped geometry to two Ga3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca(Ga3Te5)2 by Materials Project

Ca(Ga3Te5)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six Te2- atoms to form distorted CaTe6 octahedra that share corners with two equivalent CaTe6 octahedra, corners with four GaTe4 tetrahedra, and edges with four GaTe4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–24°. There are a spread of Ca–Te bond distances ranging from 3.22–3.37 Å. In the second Ca2+ site, Ca2+ is bonded to six Te2- atoms to form distorted CaTe6 octahedra that share corners with two equivalent CaTe6 octahedra, corners with four GaTe4 tetrahedra, and edges with four GaTe4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–24°. There are a spread of Ca–Te bond distances ranging from 3.22–3.36 Å. There are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four Te2- atoms to form GaTe4 tetrahedra that share a cornercorner with one CaTe6 octahedra, corners with four GaTe4 tetrahedra, an edgeedge with one CaTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ga–Te bond distances ranging from 2.64–2.69 Å. In the second Ga3+ site, Ga3+ is bonded to four Te2- atoms to form GaTe4 tetrahedra that share a cornercorner with one CaTe6 octahedra and corners with six GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Ga–Te bond distances ranging from 2.60–2.73 Å. In the third Ga3+ site, Ga3+ is bonded to four Te2- atoms to form GaTe4 tetrahedra that share corners with six GaTe4 tetrahedra and an edgeedge with one CaTe6 octahedra. There are a spread of Ga–Te bond distances ranging from 2.65–2.73 Å. In the fourth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form GaTe4 tetrahedra that share corners with four GaTe4 tetrahedra, an edgeedge with one CaTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.63–2.72 Å. In the fifth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form GaTe4 tetrahedra that share a cornercorner with one CaTe6 octahedra, corners with four GaTe4 tetrahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Ga–Te bond distances ranging from 2.60–2.74 Å. In the sixth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form GaTe4 tetrahedra that share a cornercorner with one CaTe6 octahedra, corners with four GaTe4 tetrahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Ga–Te bond distances ranging from 2.60–2.74 Å. In the seventh Ga3+ site, Ga3+ is bonded to four Te2- atoms to form GaTe4 tetrahedra that share a cornercorner with one CaTe6 octahedra, corners with six GaTe4 tetrahedra, and an edgeedge with one CaTe6 octahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Ga–Te bond distances ranging from 2.65–2.71 Å. In the eighth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form GaTe4 tetrahedra that share a cornercorner with one CaTe6 octahedra and corners with six GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Ga–Te bond distances ranging from 2.61–2.73 Å. In the ninth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form GaTe4 tetrahedra that share a cornercorner with one CaTe6 octahedra, corners with six GaTe4 tetrahedra, and an edgeedge with one CaTe6 octahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Ga–Te bond distances ranging from 2.65–2.71 Å. In the tenth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form GaTe4 tetrahedra that share corners with six GaTe4 tetrahedra and an edgeedge with one CaTe6 octahedra. There are a spread of Ga–Te bond distances ranging from 2.65–2.73 Å. In the eleventh Ga3+ site, Ga3+ is bonded to four Te2- atoms to form GaTe4 tetrahedra that share corners with four GaTe4 tetrahedra, an edgeedge with one CaTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.63–2.72 Å. In the twelfth Ga3+ site, Ga3+ is bonded to four Te2- atoms to form GaTe4 tetrahedra that share a cornercorner with one CaTe6 octahedra, corners with four GaTe4 tetrahedra, an edgeedge with one CaTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ga–Te bond distances ranging from 2.64–2.69 Å. There are twenty inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ga3+ atoms. In the second Te2- site, Te2- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the third Te2- site, Te2- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the fourth Te2- site, Te2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ga3+ atoms. In the fifth Te2- site, Te2- is bonded in a distorted trigonal non-coplanar geometry to one Ca2+ and two Ga3+ atoms. In the sixth Te2- site, Te2- is bonded in an L-shaped geometry to two Ga3+ atoms. In the seventh Te2- site, Te2- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the eighth Te2- site, Te2- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the ninth Te2- site, Te2- is bonded in an L-shaped geometry to two Ga3+ atoms. In the tenth Te2- site, Te2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ga3+ atoms. In the eleventh Te2- site, Te2- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms. In the twelfth Te2- site, Te2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ga3+ atoms. In the thirteenth Te2- site, Te2- is bonded in a distorted trigonal non-coplanar geometry to one Ca2+ and two Ga3+ atoms. In the fourteenth Te2- site, Te2- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the fifteenth Te2- site, Te2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ga3+ atoms. In the sixteenth Te2- site, Te2- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the seventeenth Te2- site, Te2- is bonded in a 4-coordinate geometry to two Ca2+ and two Ga3+ atoms. In the eighteenth Te2- site, Te2- is bonded in a 4-coordinate geometry to two Ca2+ and two Ga3+ atoms. In the nineteenth Te2- site, Te2- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms. In the twentieth Te2- site, Te2- is bonded in a 3-coordinate geometry to one Ca2+ and two Ga3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cr3GaS6 by Materials Project

Cr3GaS6 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-seven inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share a cornercorner with one GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.33–2.48 Å. In the second Cr3+ site, Cr3+ is bonded to six S2- atoms to form edge-sharing CrS6 octahedra. There are three shorter (2.37 Å) and three longer (2.43 Å) Cr–S bond lengths. In the third Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.49 Å. In the fourth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share a cornercorner with one GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.33–2.48 Å. In the fifth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.28 Å) and three longer (2.54 Å) Cr–S bond lengths. In the sixth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with five GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.35–2.45 Å. In the seventh Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.49 Å. In the eighth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.30 Å) and three longer (2.50 Å) Cr–S bond lengths. In the ninth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.39 Å) and three longer (2.40 Å) Cr–S bond lengths. In the tenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with five GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.35–2.45 Å. In the eleventh Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. All Cr–S bond lengths are 2.39 Å. In the twelfth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are five shorter (2.39 Å) and one longer (2.40 Å) Cr–S bond lengths. In the thirteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.39 Å) and three longer (2.40 Å) Cr–S bond lengths. In the fourteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. All Cr–S bond lengths are 2.39 Å. In the fifteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.39 Å) and three longer (2.40 Å) Cr–S bond lengths. In the sixteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are five shorter (2.39 Å) and one longer (2.40 Å) Cr–S bond lengths. In the seventeenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. All Cr–S bond lengths are 2.40 Å. In the eighteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with four GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.47 Å. In the nineteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.39 Å) and three longer (2.40 Å) Cr–S bond lengths. In the twentieth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.38 Å) and three longer (2.41 Å) Cr–S bond lengths. In the twenty-first Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.31–2.51 Å. In the twenty-second Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with four GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.47 Å. In the twenty-third Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.35–2.45 Å. In the twenty-fourth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with two equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.31–2.50 Å. In the twenty-fifth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.34 Å) and three longer (2.49 Å) Cr–S bond lengths. In the twenty-sixth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.50 Å. In the twenty-seventh Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with two equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.31–2.50 Å. There are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Ga–S bond distances ranging from 2.32–2.34 Å. In the second Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are one shorter (2.29 Å) and three longer (2.34 Å) Ga–S bond lengths. In the third Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are three shorter (2.33 Å) and one longer (2.34 Å) Ga–S bond lengths. In the fourth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Ga–S bond distances ranging from 2.31–2.34 Å. In the fifth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. All Ga–S bond lengths are 2.33 Å. In the sixth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. All Ga–S bond lengths are 2.33 Å. In the seventh Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are three shorter (2.33 Å) and one longer (2.34 Å) Ga–S bond lengths. In the eighth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are one shorter (2.30 Å) and three longer (2.34 Å) Ga–S bond lengths. In the ninth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. All Ga–S bond lengths are 2.33 Å. In the tenth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are three shorter (2.31 Å) and one longer (2.36 Å) Ga–S bond lengths. In the eleventh Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Ga–S bond distances ranging from 2.31–2.36 Å. In the twelfth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 60–61°. There are three shorter (2.33 Å) and one longer (2.34 Å) Ga–S bond lengths. There are fifty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the second S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form distorted corner-sharing SCr3Ga trigonal pyramids. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the fourth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga tetrahedra. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the seventh S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga tetrahedra. In the eighth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga tetrahedra. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the tenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the eleventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the twelfth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the thirteenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the fourteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the fifteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the sixteenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the seventeenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the eighteenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the nineteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the twentieth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the twenty-first S2- site,

36 MATERIALS SCIENCE↗

Materials Data on Ga2CoO4 by Materials Project

CoGa2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five GaO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.07–2.12 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six GaO4 tetrahedra, edges with two CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.08–2.13 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CoO4 tetrahedra, corners with four GaO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.07–2.13 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CoO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with six GaO6 octahedra. There are three shorter (2.07 Å) and three longer (2.11 Å) Co–O bond lengths. In the fifth Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Co–O bond distances ranging from 1.98–2.01 Å. In the sixth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CoO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.06–2.11 Å. In the seventh Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Co–O bond distances ranging from 1.97–1.99 Å. In the eighth Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Co–O bond distances ranging from 1.98–2.00 Å. There are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Ga–O bond distances ranging from 1.91–1.97 Å. In the second Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five GaO4 tetrahedra, edges with three CoO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CoO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Ga–O bond distances ranging from 1.88–1.95 Å. In the fourth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.07 Å. In the fifth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two equivalent CoO4 tetrahedra, corners with four GaO4 tetrahedra, edges with three CoO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.05 Å. In the sixth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Ga–O bond distances ranging from 1.89–1.97 Å. In the seventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three CoO4 tetrahedra, corners with three GaO4 tetrahedra, edges with two equivalent CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.08 Å. In the eighth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CoO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Ga–O bond distances ranging from 1.87–1.91 Å. In the ninth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.09 Å. In the tenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There is three shorter (1.91 Å) and one longer (1.97 Å) Ga–O bond length. In the eleventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three CoO4 tetrahedra, corners with three GaO4 tetrahedra, edges with two equivalent CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.08 Å. In the twelfth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ga3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the third O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa3Co trigonal pyramids. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Co2+ and two equivalent Ga3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the tenth O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the thirteenth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form distorted OGa3Co trigonal pyramids that share corners with three OGa4 trigonal pyramids and edges with three OGa3Co trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa3Co trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form distorted corner-sharing OGa3Co trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the seventeenth O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two equivalent Ga3+ atoms. In the nineteenth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa3Co trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form distorted OGa3Co trigonal pyramids that share corners with three OGa4 trigonal pyramids and edges with three OGa3Co trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two equivalent Ga3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms.

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Materials Data on Nd2Ga2Fe15 by Materials Project

Nd2Fe15Ga2 crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Nd is bonded in a 10-coordinate geometry to eighteen Fe and one Ga atom. There are a spread of Nd–Fe bond distances ranging from 3.06–3.36 Å. The Nd–Ga bond length is 3.07 Å. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded to two equivalent Nd, eight Fe, and two equivalent Ga atoms to form distorted FeNd2Ga2Fe8 cuboctahedra that share corners with twenty-two FeNd2Ga2Fe8 cuboctahedra, edges with ten FeNd3GaFe8 cuboctahedra, and faces with eighteen FeNd2Ga2Fe8 cuboctahedra. There are four shorter (2.45 Å) and four longer (2.46 Å) Fe–Fe bond lengths. Both Fe–Ga bond lengths are 2.59 Å. In the second Fe site, Fe is bonded to two equivalent Nd, eight Fe, and two equivalent Ga atoms to form a mixture of distorted edge, corner, and face-sharing FeNd2Ga2Fe8 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.48–2.68 Å. Both Fe–Ga bond lengths are 2.80 Å. In the third Fe site, Fe is bonded to three equivalent Nd, eight Fe, and one Ga atom to form a mixture of edge, corner, and face-sharing FeNd3GaFe8 cuboctahedra. Both Fe–Fe bond lengths are 2.49 Å. The Fe–Ga bond length is 2.61 Å. Ga is bonded in a 8-coordinate geometry to one Nd, twelve Fe, and one Ga atom. The Ga–Ga bond length is 2.60 Å.

36 MATERIALS SCIENCE↗

Materials Data on DyGa3Ru by Materials Project

DyRuGa3 crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Dy is bonded in a 8-coordinate geometry to four equivalent Ru and ten Ga atoms. All Dy–Ru bond lengths are 3.22 Å. There are eight shorter (2.96 Å) and two longer (3.22 Å) Dy–Ga bond lengths. Ru is bonded to four equivalent Dy and eight equivalent Ga atoms to form distorted RuDy4Ga8 cuboctahedra that share corners with four equivalent RuDy4Ga8 cuboctahedra, edges with four equivalent GaDy6 octahedra, and faces with eight equivalent RuDy4Ga8 cuboctahedra. All Ru–Ga bond lengths are 2.67 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded to six equivalent Dy atoms to form GaDy6 octahedra that share corners with six equivalent GaDy6 octahedra and edges with twelve equivalent RuDy4Ga8 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. In the second Ga site, Ga is bonded in a 9-coordinate geometry to three equivalent Dy, three equivalent Ru, and three equivalent Ga atoms. All Ga–Ga bond lengths are 2.71 Å.

36 MATERIALS SCIENCE↗

Materials Data on Zr4NbGa3 by Materials Project

Zr4NbGa3 crystallizes in the tetragonal I4/mcm space group. The structure is three-dimensional. Zr is bonded in a 6-coordinate geometry to two equivalent Nb and six Ga atoms. Both Zr–Nb bond lengths are 3.43 Å. There are a spread of Zr–Ga bond distances ranging from 2.87–3.09 Å. Nb is bonded in a 6-coordinate geometry to eight equivalent Zr, two equivalent Nb, and four equivalent Ga atoms. Both Nb–Nb bond lengths are 2.67 Å. All Nb–Ga bond lengths are 2.77 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded in a 10-coordinate geometry to eight equivalent Zr and two equivalent Nb atoms. In the second Ga site, Ga is bonded in a 10-coordinate geometry to eight equivalent Zr and two equivalent Ga atoms. Both Ga–Ga bond lengths are 2.67 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ga3Ge by Materials Project

Ga3Ge crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are two inequivalent Ga sites. In the first Ga site, Ga is bonded to eight Ga and four equivalent Ge atoms to form distorted GaGa8Ge4 cuboctahedra that share corners with four equivalent GeGa12 cuboctahedra, corners with fourteen GaGa8Ge4 cuboctahedra, edges with six equivalent GeGa12 cuboctahedra, edges with twelve GaGa8Ge4 cuboctahedra, faces with four equivalent GeGa12 cuboctahedra, and faces with sixteen GaGa8Ge4 cuboctahedra. There are a spread of Ga–Ga bond distances ranging from 2.96–3.09 Å. There are two shorter (2.96 Å) and two longer (3.09 Å) Ga–Ge bond lengths. In the second Ga site, Ga is bonded to eight equivalent Ga and four equivalent Ge atoms to form distorted GaGa8Ge4 cuboctahedra that share corners with four equivalent GeGa12 cuboctahedra, corners with fourteen GaGa8Ge4 cuboctahedra, edges with six equivalent GeGa12 cuboctahedra, edges with twelve equivalent GaGa8Ge4 cuboctahedra, faces with four equivalent GeGa12 cuboctahedra, and faces with sixteen GaGa8Ge4 cuboctahedra. There are two shorter (2.96 Å) and two longer (3.07 Å) Ga–Ge bond lengths. Ge is bonded to twelve Ga atoms to form GeGa12 cuboctahedra that share corners with six equivalent GeGa12 cuboctahedra, corners with twelve GaGa8Ge4 cuboctahedra, edges with eighteen GaGa8Ge4 cuboctahedra, faces with eight equivalent GeGa12 cuboctahedra, and faces with twelve GaGa8Ge4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li2Ti3(GaO4)3 by Materials Project

Li2Ti3(GaO4)3 is beta indium sulfide-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six equivalent GaO4 tetrahedra, edges with two equivalent GaO6 octahedra, and edges with four TiO6 octahedra. There are two shorter (2.13 Å) and four longer (2.17 Å) Li–O bond lengths. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four equivalent GaO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four equivalent TiO6 octahedra. There are two shorter (1.99 Å) and four longer (2.20 Å) Li–O bond lengths. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four equivalent GaO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four equivalent TiO6 octahedra. There are two shorter (2.02 Å) and four longer (2.21 Å) Li–O bond lengths. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with four equivalent GaO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent GaO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.07 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with three equivalent GaO4 tetrahedra, an edgeedge with one GaO6 octahedra, edges with two TiO6 octahedra, and edges with three LiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with two equivalent GaO6 octahedra, corners with five LiO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–60°. There are a spread of Ga–O bond distances ranging from 1.86–1.89 Å. In the second Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with four equivalent GaO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four TiO6 octahedra. All Ga–O bond lengths are 2.01 Å. There are seven inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Ti, and one Ga atom. In the second O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Ga atoms. In the third O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li and two equivalent Ti atoms. In the fourth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li and two equivalent Ti atoms. In the fifth O site, O is bonded in a trigonal non-coplanar geometry to two Ti and one Ga atom. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Ga atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Ti, and one Ga atom.

36 MATERIALS SCIENCE↗

Materials Data on AlGa3 by Materials Project

Ga3Al is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. there are two inequivalent Ga sites. In the first Ga site, Ga is bonded to eight Ga and four equivalent Al atoms to form GaAl4Ga8 cuboctahedra that share corners with twelve equivalent GaAl4Ga8 cuboctahedra, edges with eight equivalent AlGa12 cuboctahedra, edges with sixteen GaAl4Ga8 cuboctahedra, faces with four equivalent AlGa12 cuboctahedra, and faces with fourteen GaAl4Ga8 cuboctahedra. There are four shorter (2.86 Å) and four longer (3.01 Å) Ga–Ga bond lengths. All Ga–Al bond lengths are 3.01 Å. In the second Ga site, Ga is bonded to eight equivalent Ga and four equivalent Al atoms to form distorted GaAl4Ga8 cuboctahedra that share corners with four equivalent GaAl4Ga8 cuboctahedra, corners with eight equivalent AlGa12 cuboctahedra, edges with twenty-four GaAl4Ga8 cuboctahedra, faces with six equivalent AlGa12 cuboctahedra, and faces with twelve GaAl4Ga8 cuboctahedra. All Ga–Al bond lengths are 2.86 Å. Al is bonded to twelve Ga atoms to form AlGa12 cuboctahedra that share corners with four equivalent AlGa12 cuboctahedra, corners with eight equivalent GaAl4Ga8 cuboctahedra, edges with eight equivalent AlGa12 cuboctahedra, edges with sixteen equivalent GaAl4Ga8 cuboctahedra, faces with four equivalent AlGa12 cuboctahedra, and faces with fourteen GaAl4Ga8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Tm2Ga2Fe15 by Materials Project

Tm2Fe15Ga2 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are two inequivalent Tm sites. In the first Tm site, Tm is bonded in a 6-coordinate geometry to eighteen Fe atoms. There are a spread of Tm–Fe bond distances ranging from 2.91–3.23 Å. In the second Tm site, Tm is bonded in a 8-coordinate geometry to eighteen Fe and two equivalent Ga atoms. There are a spread of Tm–Fe bond distances ranging from 2.93–3.20 Å. Both Tm–Ga bond lengths are 2.92 Å. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded to two equivalent Tm, eight Fe, and two equivalent Ga atoms to form FeTm2Ga2Fe8 cuboctahedra that share corners with fourteen FeTm2Ga2Fe8 cuboctahedra, edges with six equivalent FeTm3GaFe8 cuboctahedra, and faces with ten FeTm2Ga2Fe8 cuboctahedra. There are four shorter (2.44 Å) and four longer (2.47 Å) Fe–Fe bond lengths. Both Fe–Ga bond lengths are 2.56 Å. In the second Fe site, Fe is bonded in a 12-coordinate geometry to two Tm, eight Fe, and two equivalent Ga atoms. There are a spread of Fe–Fe bond distances ranging from 2.54–2.59 Å. Both Fe–Ga bond lengths are 2.86 Å. In the third Fe site, Fe is bonded to three Tm, eight Fe, and one Ga atom to form a mixture of distorted edge, face, and corner-sharing FeTm3GaFe8 cuboctahedra. Both Fe–Fe bond lengths are 2.40 Å. The Fe–Ga bond length is 2.62 Å. Ga is bonded in a 8-coordinate geometry to one Tm, twelve Fe, and one Ga atom. The Ga–Ga bond length is 2.53 Å.

36 MATERIALS SCIENCE↗

Materials Data on Sm5Ga3 by Materials Project

Ga3Sm5 crystallizes in the tetragonal I4/mcm space group. The structure is three-dimensional. there are two inequivalent Sm sites. In the first Sm site, Sm is bonded in a 4-coordinate geometry to six Ga atoms. There are four shorter (3.10 Å) and two longer (3.63 Å) Sm–Ga bond lengths. In the second Sm site, Sm is bonded to five Ga atoms to form a mixture of distorted edge, face, and corner-sharing SmGa5 trigonal bipyramids. There are a spread of Sm–Ga bond distances ranging from 3.14–3.24 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded in a 10-coordinate geometry to ten Sm atoms. In the second Ga site, Ga is bonded in a 9-coordinate geometry to eight Sm and one Ga atom. The Ga–Ga bond length is 2.64 Å.

36 MATERIALS SCIENCE↗

Materials Data on Nd2Ga2Co15 by Materials Project

Nd2Co15Ga2 crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Nd is bonded in a 10-coordinate geometry to eighteen Co and one Ga atom. There are a spread of Nd–Co bond distances ranging from 2.95–3.33 Å. The Nd–Ga bond length is 3.00 Å. There are three inequivalent Co sites. In the first Co site, Co is bonded to two equivalent Nd, eight Co, and two equivalent Ga atoms to form distorted CoNd2Ga2Co8 cuboctahedra that share corners with fourteen CoNd2Ga2Co8 cuboctahedra, edges with six equivalent CoNd3GaCo8 cuboctahedra, and faces with ten CoNd2Ga2Co8 cuboctahedra. There are four shorter (2.40 Å) and four longer (2.44 Å) Co–Co bond lengths. Both Co–Ga bond lengths are 2.55 Å. In the second Co site, Co is bonded in a distorted q6 geometry to two equivalent Nd, eight Co, and two equivalent Ga atoms. There are a spread of Co–Co bond distances ranging from 2.42–2.59 Å. Both Co–Ga bond lengths are 2.75 Å. In the third Co site, Co is bonded to three equivalent Nd, eight Co, and one Ga atom to form a mixture of edge, face, and corner-sharing CoNd3GaCo8 cuboctahedra. Both Co–Co bond lengths are 2.48 Å. The Co–Ga bond length is 2.60 Å. Ga is bonded in a 7-coordinate geometry to one Nd, twelve Co, and one Ga atom. The Ga–Ga bond length is 2.63 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ho5Ga3 by Materials Project

Ho5Ga3 crystallizes in the tetragonal P4/ncc space group. The structure is three-dimensional. there are two inequivalent Ho sites. In the first Ho site, Ho is bonded to five Ga atoms to form a mixture of distorted edge, face, and corner-sharing HoGa5 square pyramids. There are four shorter (3.02 Å) and one longer (3.29 Å) Ho–Ga bond lengths. In the second Ho site, Ho is bonded to five Ga atoms to form a mixture of distorted edge, face, and corner-sharing HoGa5 trigonal bipyramids. There are a spread of Ho–Ga bond distances ranging from 3.03–3.20 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded in a 9-coordinate geometry to eight Ho and one Ga atom. The Ga–Ga bond length is 2.64 Å. In the second Ga site, Ga is bonded in a 9-coordinate geometry to nine Ho atoms.

36 MATERIALS SCIENCE↗

Materials Data on La2Nd(GaO3)3 by Materials Project

NdLa2(GaO3)3 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. 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 2.39–2.73 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 2.38–2.74 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 2.38–2.73 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 2.39–2.73 Å. There are eight inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.76 Å. In the second La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.76 Å. In the third La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.82 Å. In the fourth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.79 Å. In the fifth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.81 Å. In the sixth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.80 Å. In the seventh La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.81 Å. In the eighth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.80 Å. There are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 24–28°. There are a spread of Ga–O bond distances ranging from 1.99–2.02 Å. In the second Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ga–O bond distances ranging from 2.01–2.03 Å. In the third Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ga–O bond distances ranging from 2.00–2.02 Å. In the fourth Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ga–O bond distances ranging from 1.99–2.03 Å. In the fifth Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 24–26°. There are a spread of Ga–O bond distances ranging from 2.00–2.03 Å. In the sixth Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 24–26°. There are a spread of Ga–O bond distances ranging from 2.00–2.03 Å. In the seventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 24–28°. There are a spread of Ga–O bond distances ranging from 2.00–2.03 Å. In the eighth Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ga–O bond distances ranging from 2.00–2.02 Å. In the ninth Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are three shorter (2.01 Å) and three longer (2.02 Å) Ga–O bond lengths. In the tenth Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Ga–O bond distances ranging from 1.99–2.03 Å. In the eleventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 24–26°. There are a spread of Ga–O bond distances ranging from 2.00–2.03 Å. In the twelfth Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 24–26°. There are a spread of Ga–O bond distances ranging from 2.00–2.03 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Nd3+ and two Ga3+ atoms to form distorted corner-sharing ONd2Ga2 tetrahedra. In the second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Nd3+, one La3+, and two Ga3+ atoms. In the third O2- site, O2- is bonded in a distorted tetrahedral geometry to one Nd3+, one La3+, and two Ga3+ atoms. In the fourth O2- site, O2- is bonded to two Nd3+ and two Ga3+ atoms to form distorted corner-sharing ONd2Ga2 tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Nd3+, one La3+, and two Ga3+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Nd3+, one La3+, and two Ga3+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Nd3+, one La3+, and two Ga3+ atoms. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two Nd3+, one La3+, and two Ga3+ atoms. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Ga3+ atoms. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Ga3+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Ga3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Ga3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the thirty-first O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the thirty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Nd3+, one La3+, and two Ga3+ atoms. In the thirty-third O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Nd3+, one La3+, and two Ga3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to one Nd3+, two La3+, and two Ga3+ atoms.

36 MATERIALS SCIENCE↗