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Materials Data on AlGaNi6 by Materials Project

Ni6GaAl is beta Cu3Ti-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are three inequivalent Ni sites. In the first Ni site, Ni is bonded to eight equivalent Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent GaNi12 cuboctahedra, edges with sixteen equivalent NiAl2Ga2Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.52 Å. All Ni–Al bond lengths are 2.52 Å. In the second Ni site, Ni is bonded to eight equivalent Ni and four equivalent Ga atoms to form NiGa4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen equivalent NiAl2Ga2Ni8 cuboctahedra, faces with four equivalent GaNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.53 Å. All Ni–Ga bond lengths are 2.52 Å. In the third Ni site, Ni is bonded to eight Ni, two equivalent Ga, and two equivalent Al atoms to form NiAl2Ga2Ni8 cuboctahedra that share corners with twelve equivalent NiAl2Ga2Ni8 cuboctahedra, edges with four equivalent GaNi12 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with two equivalent GaNi12 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.52 Å. Both Ni–Ga bond lengths are 2.53 Å. Both Ni–Al bond lengths are 2.52 Å. Ga is bonded to twelve Ni atoms to form GaNi12 cuboctahedra that share corners with four equivalent GaNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiAl4Ni8 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with four equivalent GaNi12 cuboctahedra, and faces with twelve NiGa4Ni8 cuboctahedra. Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with four equivalent AlNi12 cuboctahedra, corners with eight equivalent GaNi12 cuboctahedra, edges with twenty-four NiGa4Ni8 cuboctahedra, faces with two equivalent GaNi12 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on BaGd(CoO3)2 by Materials Project

GdBaCo2O6 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight GdO12 cuboctahedra, faces with two equivalent GdO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight CoO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.73–2.90 Å. There are two inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded to twelve O2- atoms to form GdO12 cuboctahedra that share corners with four equivalent GdO12 cuboctahedra, corners with eight equivalent BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four GdO12 cuboctahedra, and faces with eight CoO6 octahedra. There are a spread of Gd–O bond distances ranging from 2.52–2.75 Å. In the second Gd3+ site, Gd3+ is bonded to twelve O2- atoms to form GdO12 cuboctahedra that share corners with four equivalent GdO12 cuboctahedra, corners with eight equivalent BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four GdO12 cuboctahedra, and faces with eight CoO6 octahedra. There are a spread of Gd–O bond distances ranging from 2.52–2.75 Å. There are two inequivalent Co+3.50+ sites. In the first Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and faces with four GdO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–15°. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the second Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and faces with four GdO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Co–O bond distances ranging from 1.90–1.95 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two equivalent Gd3+, and two Co+3.50+ atoms. In the second O2- site, O2- is bonded to four equivalent Ba2+ and two equivalent Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OBa4Co2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third O2- site, O2- is bonded in a linear geometry to four Gd3+ and two equivalent Co+3.50+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two Gd3+, and two equivalent Co+3.50+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two Gd3+, and two equivalent Co+3.50+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Gd3+ and two equivalent Co+3.50+ atoms. In the seventh O2- site, O2- is bonded to four equivalent Ba2+ and two equivalent Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OBa4Co2 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on MnAlNi6 by Materials Project

MnNi6Al is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Mn is bonded to twelve Ni atoms to form MnNi12 cuboctahedra that share corners with four equivalent MnNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiAl4Ni8 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with four equivalent MnNi12 cuboctahedra, and faces with twelve NiMn4Ni8 cuboctahedra. There are eight shorter (2.46 Å) and four longer (2.49 Å) Mn–Ni bond lengths. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded to eight equivalent Ni and four equivalent Al atoms to form distorted NiAl4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent MnNi12 cuboctahedra, edges with sixteen equivalent NiMn2Al2Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.54 Å. All Ni–Al bond lengths are 2.49 Å. In the second Ni site, Ni is bonded to four equivalent Mn and eight equivalent Ni atoms to form NiMn4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen equivalent NiMn2Al2Ni8 cuboctahedra, faces with four equivalent MnNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.46 Å. In the third Ni site, Ni is bonded to two equivalent Mn, eight Ni, and two equivalent Al atoms to form distorted NiMn2Al2Ni8 cuboctahedra that share corners with twelve equivalent NiMn2Al2Ni8 cuboctahedra, edges with four equivalent MnNi12 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with two equivalent MnNi12 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.49 Å. Both Ni–Al bond lengths are 2.54 Å. Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with four equivalent AlNi12 cuboctahedra, corners with eight equivalent MnNi12 cuboctahedra, edges with twenty-four NiMn4Ni8 cuboctahedra, faces with two equivalent MnNi12 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on TiAlNi6 by Materials Project

TiNi6Al is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with four equivalent TiNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiAl4Ni8 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with four equivalent TiNi12 cuboctahedra, and faces with twelve NiTi4Ni8 cuboctahedra. All Ti–Ni bond lengths are 2.54 Å. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded to eight equivalent Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent TiNi12 cuboctahedra, edges with sixteen equivalent NiTi2Al2Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.53 Å. All Ni–Al bond lengths are 2.54 Å. In the second Ni site, Ni is bonded to four equivalent Ti and eight equivalent Ni atoms to form NiTi4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen equivalent NiTi2Al2Ni8 cuboctahedra, faces with four equivalent TiNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.54 Å. In the third Ni site, Ni is bonded to two equivalent Ti, eight Ni, and two equivalent Al atoms to form NiTi2Al2Ni8 cuboctahedra that share corners with twelve equivalent NiTi2Al2Ni8 cuboctahedra, edges with four equivalent TiNi12 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.54 Å. Both Ni–Al bond lengths are 2.53 Å. Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with four equivalent AlNi12 cuboctahedra, corners with eight equivalent TiNi12 cuboctahedra, edges with twenty-four NiTi4Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Pr3DyFe34 by Materials Project

DyPr3Fe34 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. Dy is bonded in a 10-coordinate geometry to nineteen Fe atoms. There are a spread of Dy–Fe bond distances ranging from 3.02–3.28 Å. There are three inequivalent Pr sites. In the first Pr site, Pr is bonded in a 10-coordinate geometry to nineteen Fe atoms. There are a spread of Pr–Fe bond distances ranging from 3.05–3.29 Å. In the second Pr site, Pr is bonded in a 10-coordinate geometry to nineteen Fe atoms. There are a spread of Pr–Fe bond distances ranging from 3.05–3.31 Å. In the third Pr site, Pr is bonded in a 10-coordinate geometry to nineteen Fe atoms. There are a spread of Pr–Fe bond distances ranging from 3.05–3.30 Å. There are twenty-two inequivalent Fe sites. In the first Fe site, Fe is bonded to two Pr and ten Fe atoms to form a mixture of distorted face, edge, and corner-sharing FePr2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.74 Å. In the second Fe site, Fe is bonded in a 12-coordinate geometry to one Dy, one Pr, and ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.78 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to one Dy, one Pr, and ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.43–2.77 Å. In the fourth Fe site, Fe is bonded in a 12-coordinate geometry to two Pr and ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.75 Å. In the fifth Fe site, Fe is bonded in a 12-coordinate geometry to one Dy, one Pr, and ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.43–2.77 Å. In the sixth Fe site, Fe is bonded in a 12-coordinate geometry to two Pr and ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.75 Å. In the seventh Fe site, Fe is bonded in a 2-coordinate geometry to one Dy and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.41–2.64 Å. In the eighth Fe site, Fe is bonded in a 2-coordinate geometry to one Pr and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.40–2.66 Å. In the ninth Fe site, Fe is bonded in a 2-coordinate geometry to one Pr and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.62–2.66 Å. In the tenth Fe site, Fe is bonded in a 2-coordinate geometry to one Pr and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.62–2.67 Å. In the eleventh Fe site, Fe is bonded to one Dy, one Pr, and ten Fe atoms to form a mixture of face, edge, and corner-sharing FePrDyFe10 cuboctahedra. There are two shorter (2.45 Å) and two longer (2.47 Å) Fe–Fe bond lengths. In the twelfth Fe site, Fe is bonded to two Pr and ten Fe atoms to form a mixture of face, edge, and corner-sharing FePr2Fe10 cuboctahedra. All Fe–Fe bond lengths are 2.46 Å. In the thirteenth Fe site, Fe is bonded to one Dy, one Pr, and ten Fe atoms to form FePrDyFe10 cuboctahedra that share corners with fourteen FePr2DyFe9 cuboctahedra, edges with six FePr2DyFe9 cuboctahedra, and faces with ten FePr3Fe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.47 Å. In the fourteenth Fe site, Fe is bonded to two Pr and ten Fe atoms to form a mixture of face, edge, and corner-sharing FePr2Fe10 cuboctahedra. All Fe–Fe bond lengths are 2.46 Å. In the fifteenth Fe site, Fe is bonded to one Dy, two Pr, and nine Fe atoms to form a mixture of face, edge, and corner-sharing FePr2DyFe9 cuboctahedra. Both Fe–Fe bond lengths are 2.49 Å. In the sixteenth Fe site, Fe is bonded to three Pr and nine Fe atoms to form a mixture of face, edge, and corner-sharing FePr3Fe9 cuboctahedra. Both Fe–Fe bond lengths are 2.49 Å. In the seventeenth Fe site, Fe is bonded to one Dy, two equivalent Pr, and nine Fe atoms to form a mixture of face, edge, and corner-sharing FePr2DyFe9 cuboctahedra. There are one shorter (2.48 Å) and one longer (2.49 Å) Fe–Fe bond lengths. In the eighteenth Fe site, Fe is bonded to three Pr and nine Fe atoms to form a mixture of face, edge, and corner-sharing FePr3Fe9 cuboctahedra. There are one shorter (2.50 Å) and one longer (2.51 Å) Fe–Fe bond lengths. In the nineteenth Fe site, Fe is bonded to one Dy, two Pr, and nine Fe atoms to form FePr2DyFe9 cuboctahedra that share corners with fifteen FePr2DyFe9 cuboctahedra, edges with eight FePrDy2Fe9 cuboctahedra, and faces with fourteen FePr2DyFe9 cuboctahedra. In the twentieth Fe site, Fe is bonded to one Dy, two Pr, and nine Fe atoms to form FePr2DyFe9 cuboctahedra that share corners with seventeen FePr2DyFe9 cuboctahedra, edges with eight FePrDy2Fe9 cuboctahedra, and faces with ten FePr3Fe9 cuboctahedra. In the twenty-first Fe site, Fe is bonded to two equivalent Dy, one Pr, and nine Fe atoms to form a mixture of face, edge, and corner-sharing FePrDy2Fe9 cuboctahedra. In the twenty-second Fe site, Fe is bonded to three Pr and nine Fe atoms to form FePr3Fe9 cuboctahedra that share corners with seventeen FePr2DyFe9 cuboctahedra, edges with nine FePr3Fe9 cuboctahedra, and faces with twelve FePr3Fe9 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on AlSiNi6 by Materials Project

Ni6AlSi crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are three inequivalent Ni sites. In the first Ni site, Ni is bonded to eight equivalent Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent SiNi12 cuboctahedra, edges with sixteen equivalent NiAl2Si2Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.52 Å. All Ni–Al bond lengths are 2.49 Å. In the second Ni site, Ni is bonded to eight equivalent Ni and four equivalent Si atoms to form NiSi4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen equivalent NiAl2Si2Ni8 cuboctahedra, faces with four equivalent SiNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.45 Å. All Ni–Si bond lengths are 2.49 Å. In the third Ni site, Ni is bonded to eight Ni, two equivalent Al, and two equivalent Si atoms to form NiAl2Si2Ni8 cuboctahedra that share corners with twelve equivalent NiAl2Si2Ni8 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with four equivalent SiNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with two equivalent SiNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.49 Å. Both Ni–Al bond lengths are 2.52 Å. Both Ni–Si bond lengths are 2.45 Å. Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with four equivalent AlNi12 cuboctahedra, corners with eight equivalent SiNi12 cuboctahedra, edges with twenty-four NiSi4Ni8 cuboctahedra, faces with two equivalent SiNi12 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra. Si is bonded to twelve Ni atoms to form SiNi12 cuboctahedra that share corners with four equivalent SiNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiAl4Ni8 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with four equivalent SiNi12 cuboctahedra, and faces with twelve NiSi4Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on TaGaNi6 by Materials Project

TaNi6Ga is beta Cu3Ti-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ta is bonded to twelve Ni atoms to form TaNi12 cuboctahedra that share corners with four equivalent TaNi12 cuboctahedra, corners with eight equivalent GaNi12 cuboctahedra, edges with twenty-four NiGa4Ni8 cuboctahedra, faces with two equivalent GaNi12 cuboctahedra, faces with four equivalent TaNi12 cuboctahedra, and faces with twelve NiTa4Ni8 cuboctahedra. All Ta–Ni bond lengths are 2.56 Å. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded to eight equivalent Ni and four equivalent Ga atoms to form NiGa4Ni8 cuboctahedra that share corners with twelve NiGa4Ni8 cuboctahedra, edges with eight equivalent TaNi12 cuboctahedra, edges with sixteen equivalent NiTa2Ga2Ni8 cuboctahedra, faces with four equivalent GaNi12 cuboctahedra, and faces with fourteen NiGa4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.55 Å. All Ni–Ga bond lengths are 2.56 Å. In the second Ni site, Ni is bonded to four equivalent Ta and eight equivalent Ni atoms to form distorted NiTa4Ni8 cuboctahedra that share corners with twelve NiGa4Ni8 cuboctahedra, edges with eight equivalent GaNi12 cuboctahedra, edges with sixteen equivalent NiTa2Ga2Ni8 cuboctahedra, faces with four equivalent TaNi12 cuboctahedra, and faces with fourteen NiGa4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.56 Å. In the third Ni site, Ni is bonded to two equivalent Ta, eight Ni, and two equivalent Ga atoms to form distorted NiTa2Ga2Ni8 cuboctahedra that share corners with twelve equivalent NiTa2Ga2Ni8 cuboctahedra, edges with four equivalent TaNi12 cuboctahedra, edges with four equivalent GaNi12 cuboctahedra, edges with sixteen NiGa4Ni8 cuboctahedra, faces with two equivalent TaNi12 cuboctahedra, faces with two equivalent GaNi12 cuboctahedra, and faces with fourteen NiGa4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.56 Å. Both Ni–Ga bond lengths are 2.55 Å. Ga is bonded to twelve Ni atoms to form GaNi12 cuboctahedra that share corners with four equivalent GaNi12 cuboctahedra, corners with eight equivalent TaNi12 cuboctahedra, edges with twenty-four NiTa4Ni8 cuboctahedra, faces with two equivalent TaNi12 cuboctahedra, faces with four equivalent GaNi12 cuboctahedra, and faces with twelve NiGa4Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sr2CaTi3O9 by Materials Project

Sr2CaTi3O9 crystallizes in the orthorhombic Fmm2 space group. The structure is three-dimensional. there are three inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–2.95 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, a faceface with one SrO12 cuboctahedra, faces with five equivalent CaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–2.93 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–2.93 Å. Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.62–2.94 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–13°. There is five shorter (1.97 Å) and one longer (1.98 Å) Ti–O bond length. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with four equivalent SrO12 cuboctahedra, and faces with four equivalent CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–13°. All Ti–O bond lengths are 1.97 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Sr2+, two equivalent Ca2+, and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Sr2+, two equivalent Ca2+, and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, one Ca2+, and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, one Ca2+, and two equivalent Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3NaIrRuO9 by Materials Project

NaBa3RuIrO9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with three equivalent RuO6 octahedra, corners with three equivalent IrO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are three shorter (2.28 Å) and three longer (2.29 Å) Na–O bond lengths. There are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent NaO6 octahedra, faces with three equivalent RuO6 octahedra, and faces with three equivalent IrO6 octahedra. There are six shorter (2.96 Å) and six longer (2.99 Å) Ba–O bond lengths. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent IrO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one IrO6 octahedra, faces with three equivalent NaO6 octahedra, and faces with three equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 16°. There are a spread of Ba–O bond distances ranging from 2.98–3.04 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one RuO6 octahedra, faces with three equivalent NaO6 octahedra, and faces with three equivalent IrO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.93–3.06 Å. Ru6+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent NaO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There is three shorter (1.88 Å) and three longer (2.10 Å) Ru–O bond length. Ir5+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent NaO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There is three shorter (1.91 Å) and three longer (2.04 Å) Ir–O bond length. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Na1+, four Ba2+, and one Ru6+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one Na1+, four Ba2+, and one Ir5+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ru6+, and one Ir5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba6Gd(ReO6)3 by Materials Project

Ba6Gd(ReO6)3 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with seven BaO12 cuboctahedra, faces with two equivalent GdO6 octahedra, and faces with four ReO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.87–3.06 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with seven BaO12 cuboctahedra, faces with two equivalent GdO6 octahedra, and faces with four ReO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.86–3.06 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three ReO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with three ReO6 octahedra. The corner-sharing octahedra tilt angles range from 21–24°. There are a spread of Ba–O bond distances ranging from 2.95–3.03 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three ReO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one GdO6 octahedra, and faces with three ReO6 octahedra. The corner-sharing octahedra tilt angles range from 20–24°. There are a spread of Ba–O bond distances ranging from 2.90–3.04 Å. Gd3+ is bonded to six O2- atoms to form GdO6 octahedra that share corners with six ReO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. All Gd–O bond lengths are 2.26 Å. There are two inequivalent Re7+ sites. In the first Re7+ site, Re7+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three BaO12 cuboctahedra, corners with two equivalent GdO6 octahedra, and faces with seven BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Re–O bond distances ranging from 1.84–2.02 Å. In the second Re7+ site, Re7+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three BaO12 cuboctahedra, corners with two equivalent GdO6 octahedra, and faces with seven BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Re–O bond distances ranging from 1.85–2.01 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Gd3+, and one Re7+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Gd3+, and one Re7+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Gd3+, and one Re7+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba3PrIrRuO9 by Materials Project

Ba3PrRuIrO9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent PrO6 octahedra, faces with three equivalent RuO6 octahedra, and faces with three equivalent IrO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.02–3.04 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent IrO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one IrO6 octahedra, faces with three equivalent PrO6 octahedra, and faces with three equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.91–3.27 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one RuO6 octahedra, faces with three equivalent PrO6 octahedra, and faces with three equivalent IrO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.92–3.31 Å. Pr3+ is bonded to six O2- atoms to form PrO6 octahedra that share corners with three equivalent RuO6 octahedra, corners with three equivalent IrO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are three shorter (2.30 Å) and three longer (2.34 Å) Pr–O bond lengths. Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent PrO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (1.95 Å) and three longer (2.06 Å) Ru–O bond lengths. Ir4+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent PrO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (1.98 Å) and three longer (2.06 Å) Ir–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ru5+, and one Ir4+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Pr3+, and one Ru5+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Pr3+, and one Ir4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba6Y(ReO6)3 by Materials Project

Ba6Y(ReO6)3 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with seven BaO12 cuboctahedra, faces with two equivalent YO6 octahedra, and faces with four ReO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.87–3.03 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with seven BaO12 cuboctahedra, faces with two equivalent YO6 octahedra, and faces with four ReO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.87–3.03 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three ReO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one YO6 octahedra, and faces with three ReO6 octahedra. The corner-sharing octahedra tilt angles range from 20–23°. There are a spread of Ba–O bond distances ranging from 2.90–3.03 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three ReO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with three ReO6 octahedra. The corner-sharing octahedra tilt angles range from 21–24°. There are a spread of Ba–O bond distances ranging from 2.95–3.02 Å. Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with six ReO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. All Y–O bond lengths are 2.24 Å. There are two inequivalent Re7+ sites. In the first Re7+ site, Re7+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three BaO12 cuboctahedra, corners with two equivalent YO6 octahedra, and faces with seven BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Re–O bond distances ranging from 1.85–2.02 Å. In the second Re7+ site, Re7+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with three BaO12 cuboctahedra, corners with two equivalent YO6 octahedra, and faces with seven BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Re–O bond distances ranging from 1.85–2.03 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Re7+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Y3+, and one Re7+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Y3+, and one Re7+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Y3+, and one Re7+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba3InIrRuO9 by Materials Project

Ba3RuIrInO9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent InO6 octahedra, faces with three equivalent RuO6 octahedra, and faces with three equivalent IrO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.96–3.00 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent IrO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one IrO6 octahedra, faces with three equivalent RuO6 octahedra, and faces with three equivalent InO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are nine shorter (2.95 Å) and three longer (2.99 Å) Ba–O bond lengths. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one RuO6 octahedra, faces with three equivalent IrO6 octahedra, and faces with three equivalent InO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ba–O bond distances ranging from 2.96–3.02 Å. Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent InO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (1.98 Å) and three longer (2.03 Å) Ru–O bond lengths. Ir4+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent InO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (2.01 Å) and three longer (2.03 Å) Ir–O bond lengths. In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with three equivalent RuO6 octahedra, corners with three equivalent IrO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (2.15 Å) and three longer (2.17 Å) In–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ru5+, and one Ir4+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ru5+, and one In3+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ir4+, and one In3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on VGaNi6 by Materials Project

VNi6Ga is beta Cu3Ti-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. V is bonded to twelve Ni atoms to form VNi12 cuboctahedra that share corners with four equivalent VNi12 cuboctahedra, corners with eight equivalent GaNi12 cuboctahedra, edges with twenty-four NiGa4Ni8 cuboctahedra, faces with two equivalent GaNi12 cuboctahedra, faces with four equivalent VNi12 cuboctahedra, and faces with twelve NiV4Ni8 cuboctahedra. There are eight shorter (2.48 Å) and four longer (2.52 Å) V–Ni bond lengths. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded to eight equivalent Ni and four equivalent Ga atoms to form NiGa4Ni8 cuboctahedra that share corners with twelve NiGa4Ni8 cuboctahedra, edges with eight equivalent VNi12 cuboctahedra, edges with sixteen equivalent NiV2Ga2Ni8 cuboctahedra, faces with four equivalent GaNi12 cuboctahedra, and faces with fourteen NiGa4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.56 Å. All Ni–Ga bond lengths are 2.52 Å. In the second Ni site, Ni is bonded to four equivalent V and eight equivalent Ni atoms to form NiV4Ni8 cuboctahedra that share corners with twelve NiGa4Ni8 cuboctahedra, edges with eight equivalent GaNi12 cuboctahedra, edges with sixteen equivalent NiV2Ga2Ni8 cuboctahedra, faces with four equivalent VNi12 cuboctahedra, and faces with fourteen NiGa4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.48 Å. In the third Ni site, Ni is bonded to two equivalent V, eight Ni, and two equivalent Ga atoms to form distorted NiV2Ga2Ni8 cuboctahedra that share corners with twelve equivalent NiV2Ga2Ni8 cuboctahedra, edges with four equivalent VNi12 cuboctahedra, edges with four equivalent GaNi12 cuboctahedra, edges with sixteen NiGa4Ni8 cuboctahedra, faces with two equivalent VNi12 cuboctahedra, faces with two equivalent GaNi12 cuboctahedra, and faces with fourteen NiGa4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.52 Å. Both Ni–Ga bond lengths are 2.56 Å. Ga is bonded to twelve Ni atoms to form GaNi12 cuboctahedra that share corners with four equivalent GaNi12 cuboctahedra, corners with eight equivalent VNi12 cuboctahedra, edges with twenty-four NiV4Ni8 cuboctahedra, faces with two equivalent VNi12 cuboctahedra, faces with four equivalent GaNi12 cuboctahedra, and faces with twelve NiGa4Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ba4CaZr5O15 by Materials Project

Ba4CaZr5O15 crystallizes in the tetragonal I-42m space group. The structure is three-dimensional. there are six inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight ZrO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.86–3.16 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight equivalent ZrO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.88–3.13 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, and faces with eight ZrO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.81–3.16 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, and faces with eight ZrO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.81–3.16 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with eight BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight ZrO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.81–3.36 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight equivalent ZrO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.87–3.14 Å. There are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.60–2.98 Å. In the second Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.60–2.98 Å. There are three inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six ZrO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Zr–O bond distances ranging from 2.12–2.15 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six ZrO6 octahedra and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Zr–O bond distances ranging from 2.10–2.15 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six ZrO6 octahedra and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–24°. There are two shorter (2.09 Å) and four longer (2.16 Å) Zr–O bond lengths. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two equivalent Zr4+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two equivalent Zr4+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+ and two equivalent Zr4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Ca2+, and two equivalent Zr4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Ba2+, one Ca2+, and two equivalent Zr4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Zr4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Zr4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent Ca2+, and two Zr4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on AlNi6Ge by Materials Project

Ni6AlGe is beta Cu3Ti-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are three inequivalent Ni sites. In the first Ni site, Ni is bonded to eight equivalent Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent GeNi12 cuboctahedra, edges with sixteen equivalent NiAl2Ni8Ge2 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.51 Å. All Ni–Al bond lengths are 2.51 Å. In the second Ni site, Ni is bonded to eight equivalent Ni and four equivalent Ge atoms to form NiNi8Ge4 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen equivalent NiAl2Ni8Ge2 cuboctahedra, faces with four equivalent GeNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.51 Å. All Ni–Ge bond lengths are 2.51 Å. In the third Ni site, Ni is bonded to eight Ni, two equivalent Al, and two equivalent Ge atoms to form NiAl2Ni8Ge2 cuboctahedra that share corners with twelve equivalent NiAl2Ni8Ge2 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with four equivalent GeNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with two equivalent GeNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.51 Å. Both Ni–Al bond lengths are 2.51 Å. Both Ni–Ge bond lengths are 2.51 Å. Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with four equivalent AlNi12 cuboctahedra, corners with eight equivalent GeNi12 cuboctahedra, edges with twenty-four NiNi8Ge4 cuboctahedra, faces with two equivalent GeNi12 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra. Ge is bonded to twelve Ni atoms to form GeNi12 cuboctahedra that share corners with four equivalent GeNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiAl4Ni8 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with four equivalent GeNi12 cuboctahedra, and faces with twelve NiNi8Ge4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on BiPd6Pb by Materials Project

Pd6PbBi is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are three inequivalent Pd sites. In the first Pd site, Pd is bonded to eight equivalent Pd and four equivalent Bi atoms to form PdBi4Pd8 cuboctahedra that share corners with twelve PdBi4Pd8 cuboctahedra, edges with eight equivalent PbPd12 cuboctahedra, edges with sixteen equivalent PdBi2Pd8Pb2 cuboctahedra, faces with four equivalent BiPd12 cuboctahedra, and faces with fourteen PdBi4Pd8 cuboctahedra. All Pd–Pd bond lengths are 2.92 Å. All Pd–Bi bond lengths are 2.92 Å. In the second Pd site, Pd is bonded to eight equivalent Pd and four equivalent Pb atoms to form PdPd8Pb4 cuboctahedra that share corners with twelve PdBi4Pd8 cuboctahedra, edges with eight equivalent BiPd12 cuboctahedra, edges with sixteen equivalent PdBi2Pd8Pb2 cuboctahedra, faces with four equivalent PbPd12 cuboctahedra, and faces with fourteen PdBi4Pd8 cuboctahedra. All Pd–Pd bond lengths are 2.92 Å. All Pd–Pb bond lengths are 2.92 Å. In the third Pd site, Pd is bonded to eight Pd, two equivalent Pb, and two equivalent Bi atoms to form PdBi2Pd8Pb2 cuboctahedra that share corners with twelve equivalent PdBi2Pd8Pb2 cuboctahedra, edges with four equivalent PbPd12 cuboctahedra, edges with four equivalent BiPd12 cuboctahedra, edges with sixteen PdBi4Pd8 cuboctahedra, faces with two equivalent PbPd12 cuboctahedra, faces with two equivalent BiPd12 cuboctahedra, and faces with fourteen PdBi4Pd8 cuboctahedra. All Pd–Pd bond lengths are 2.92 Å. Both Pd–Pb bond lengths are 2.92 Å. Both Pd–Bi bond lengths are 2.92 Å. Pb is bonded to twelve Pd atoms to form PbPd12 cuboctahedra that share corners with four equivalent PbPd12 cuboctahedra, corners with eight equivalent BiPd12 cuboctahedra, edges with twenty-four PdBi4Pd8 cuboctahedra, faces with two equivalent BiPd12 cuboctahedra, faces with four equivalent PbPd12 cuboctahedra, and faces with twelve PdPd8Pb4 cuboctahedra. Bi is bonded to twelve Pd atoms to form BiPd12 cuboctahedra that share corners with four equivalent BiPd12 cuboctahedra, corners with eight equivalent PbPd12 cuboctahedra, edges with twenty-four PdPd8Pb4 cuboctahedra, faces with two equivalent PbPd12 cuboctahedra, faces with four equivalent BiPd12 cuboctahedra, and faces with twelve PdBi4Pd8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Cs8Na4Y3HoCl24 by Materials Project

Cs8Na4HoY3Cl24 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are two inequivalent Cs1+ sites. In the first Cs1+ site, Cs1+ is bonded to twelve Cl1- atoms to form CsCl12 cuboctahedra that share corners with twelve CsCl12 cuboctahedra, faces with six CsCl12 cuboctahedra, faces with four NaCl6 octahedra, and faces with four YCl6 octahedra. All Cs–Cl bond lengths are 3.85 Å. In the second Cs1+ site, Cs1+ is bonded to twelve Cl1- atoms to form CsCl12 cuboctahedra that share corners with twelve CsCl12 cuboctahedra, faces with six CsCl12 cuboctahedra, faces with two equivalent HoCl6 octahedra, faces with two equivalent YCl6 octahedra, and faces with four NaCl6 octahedra. All Cs–Cl bond lengths are 3.85 Å. There are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six Cl1- atoms to form NaCl6 octahedra that share a cornercorner with one HoCl6 octahedra, corners with five YCl6 octahedra, and faces with eight CsCl12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are five shorter (2.80 Å) and one longer (2.82 Å) Na–Cl bond lengths. In the second Na1+ site, Na1+ is bonded to six Cl1- atoms to form NaCl6 octahedra that share corners with two equivalent YCl6 octahedra, corners with four equivalent HoCl6 octahedra, and faces with eight equivalent CsCl12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.80 Å) and four longer (2.82 Å) Na–Cl bond lengths. In the third Na1+ site, Na1+ is bonded to six equivalent Cl1- atoms to form NaCl6 octahedra that share corners with six YCl6 octahedra and faces with eight equivalent CsCl12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Na–Cl bond lengths are 2.80 Å. Ho3+ is bonded to six Cl1- atoms to form HoCl6 octahedra that share corners with six NaCl6 octahedra and faces with eight equivalent CsCl12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Ho–Cl bond lengths are 2.63 Å. There are two inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six Cl1- atoms to form YCl6 octahedra that share corners with six NaCl6 octahedra and faces with eight CsCl12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Y–Cl bond lengths are 2.65 Å. In the second Y3+ site, Y3+ is bonded to six Cl1- atoms to form YCl6 octahedra that share corners with six NaCl6 octahedra and faces with eight equivalent CsCl12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Y–Cl bond lengths are 2.65 Å. There are six inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a distorted linear geometry to four equivalent Cs1+, one Na1+, and one Y3+ atom. In the second Cl1- site, Cl1- is bonded in a distorted linear geometry to four equivalent Cs1+, one Na1+, and one Y3+ atom. In the third Cl1- site, Cl1- is bonded in a distorted linear geometry to four equivalent Cs1+, one Na1+, and one Ho3+ atom. In the fourth Cl1- site, Cl1- is bonded in a distorted linear geometry to four equivalent Cs1+, one Na1+, and one Y3+ atom. In the fifth Cl1- site, Cl1- is bonded in a distorted linear geometry to four Cs1+, one Na1+, and one Y3+ atom. In the sixth Cl1- site, Cl1- is bonded in a distorted linear geometry to four equivalent Cs1+, one Na1+, and one Ho3+ atom.

36 MATERIALS SCIENCE↗