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Materials Data on Ba10Zn4Cu(WO6)5 by Materials Project

Ba10CuZn4(WO6)5 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are five 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 four WO6 octahedra, and faces with four ZnO6 octahedra. All Ba–O bond lengths are 2.92 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, a faceface with one CuO6 octahedra, faces with three ZnO6 octahedra, and faces with four WO6 octahedra. There are three shorter (2.91 Å) and nine longer (2.92 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 twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent CuO6 octahedra, faces with two ZnO6 octahedra, and faces with four WO6 octahedra. There are four shorter (2.91 Å) and eight longer (2.92 Å) Ba–O bond lengths. In the fourth 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 four WO6 octahedra, and faces with four ZnO6 octahedra. All Ba–O bond lengths are 2.92 Å. In the fifth 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, a faceface with one CuO6 octahedra, faces with three equivalent ZnO6 octahedra, and faces with four WO6 octahedra. There are three shorter (2.91 Å) and nine longer (2.92 Å) Ba–O bond lengths. There are three inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six ZnO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All W–O bond lengths are 1.96 Å. In the second W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four ZnO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is four shorter (1.96 Å) and two longer (1.97 Å) W–O bond length. In the third W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five ZnO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All W–O bond lengths are 1.96 Å. Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six WO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Cu–O bond lengths are 2.16 Å. There are two inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six WO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are five shorter (2.16 Å) and one longer (2.17 Å) Zn–O bond lengths. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six WO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Zn–O bond lengths are 2.16 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one W6+, and one Zn2+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one W6+, and one Zn2+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one W6+, and one Cu2+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one W6+, and one Zn2+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one W6+, and one Zn2+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one W6+, and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one W6+, and one Cu2+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one W6+, and one Zn2+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one W6+, and one Zn2+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one W6+, and one Zn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on SnAu5 by Materials Project

Au5Sn crystallizes in the trigonal R32 space group. The structure is three-dimensional. there are ten inequivalent Au+0.40- sites. In the first Au+0.40- site, Au+0.40- is bonded to nine Au+0.40- and three equivalent Sn2+ atoms to form distorted AuSn3Au9 cuboctahedra that share corners with six equivalent SnAu12 cuboctahedra, corners with twelve AuSn3Au9 cuboctahedra, edges with eighteen AuSn3Au9 cuboctahedra, faces with four equivalent SnAu12 cuboctahedra, and faces with sixteen AuSn2Au10 cuboctahedra. There are a spread of Au–Au bond distances ranging from 2.96–3.02 Å. All Au–Sn bond lengths are 3.00 Å. In the second Au+0.40- site, Au+0.40- is bonded to ten Au+0.40- and two equivalent Sn2+ atoms to form distorted AuSn2Au10 cuboctahedra that share corners with eighteen AuSn2Au10 cuboctahedra, edges with four equivalent SnAu12 cuboctahedra, edges with fourteen AuSn3Au9 cuboctahedra, faces with four equivalent SnAu12 cuboctahedra, and faces with sixteen AuSn3Au9 cuboctahedra. There are a spread of Au–Au bond distances ranging from 2.95–3.03 Å. Both Au–Sn bond lengths are 3.00 Å. In the third Au+0.40- site, Au+0.40- is bonded to ten Au+0.40- and two equivalent Sn2+ atoms to form distorted AuSn2Au10 cuboctahedra that share corners with eighteen AuSn2Au10 cuboctahedra, edges with four equivalent SnAu12 cuboctahedra, edges with fourteen AuSn3Au9 cuboctahedra, faces with four equivalent SnAu12 cuboctahedra, and faces with sixteen AuSn3Au9 cuboctahedra. There are one shorter (2.96 Å) and two longer (3.02 Å) Au–Au bond lengths. Both Au–Sn bond lengths are 3.00 Å. In the fourth Au+0.40- site, Au+0.40- is bonded to nine Au+0.40- and three equivalent Sn2+ atoms to form distorted AuSn3Au9 cuboctahedra that share corners with six equivalent SnAu12 cuboctahedra, corners with twelve AuSn3Au9 cuboctahedra, edges with eighteen AuSn2Au10 cuboctahedra, faces with four equivalent SnAu12 cuboctahedra, and faces with sixteen AuSn2Au10 cuboctahedra. There are three shorter (3.01 Å) and two longer (3.02 Å) Au–Au bond lengths. All Au–Sn bond lengths are 3.00 Å. In the fifth Au+0.40- site, Au+0.40- is bonded to nine Au+0.40- and three equivalent Sn2+ atoms to form distorted AuSn3Au9 cuboctahedra that share corners with six equivalent SnAu12 cuboctahedra, corners with twelve AuSn3Au9 cuboctahedra, edges with eighteen AuSn3Au9 cuboctahedra, faces with four equivalent SnAu12 cuboctahedra, and faces with sixteen AuSn2Au10 cuboctahedra. Both Au–Au bond lengths are 2.96 Å. All Au–Sn bond lengths are 3.00 Å. In the sixth Au+0.40- site, Au+0.40- is bonded to ten Au+0.40- and two equivalent Sn2+ atoms to form distorted AuSn2Au10 cuboctahedra that share corners with eighteen AuSn2Au10 cuboctahedra, edges with four equivalent SnAu12 cuboctahedra, edges with fourteen AuSn3Au9 cuboctahedra, faces with four equivalent SnAu12 cuboctahedra, and faces with sixteen AuSn2Au10 cuboctahedra. There are a spread of Au–Au bond distances ranging from 2.95–3.03 Å. Both Au–Sn bond lengths are 3.00 Å. In the seventh Au+0.40- site, Au+0.40- is bonded to nine Au+0.40- and three equivalent Sn2+ atoms to form distorted AuSn3Au9 cuboctahedra that share corners with six equivalent SnAu12 cuboctahedra, corners with twelve AuSn3Au9 cuboctahedra, edges with eighteen AuSn2Au10 cuboctahedra, faces with four equivalent SnAu12 cuboctahedra, and faces with sixteen AuSn3Au9 cuboctahedra. There are a spread of Au–Au bond distances ranging from 2.96–3.02 Å. All Au–Sn bond lengths are 3.00 Å. In the eighth Au+0.40- site, Au+0.40- is bonded to nine Au+0.40- and three equivalent Sn2+ atoms to form distorted AuSn3Au9 cuboctahedra that share corners with six equivalent SnAu12 cuboctahedra, corners with twelve AuSn3Au9 cuboctahedra, edges with eighteen AuSn2Au10 cuboctahedra, faces with four equivalent SnAu12 cuboctahedra, and faces with sixteen AuSn2Au10 cuboctahedra. There are two shorter (2.96 Å) and one longer (3.02 Å) Au–Au bond lengths. All Au–Sn bond lengths are 3.00 Å. In the ninth Au+0.40- site, Au+0.40- is bonded to ten Au+0.40- and two equivalent Sn2+ atoms to form distorted AuSn2Au10 cuboctahedra that share corners with eighteen AuSn2Au10 cuboctahedra, edges with four equivalent SnAu12 cuboctahedra, edges with fourteen AuSn3Au9 cuboctahedra, faces with four equivalent SnAu12 cuboctahedra, and faces with sixteen AuSn3Au9 cuboctahedra. There are a spread of Au–Au bond distances ranging from 2.95–3.03 Å. Both Au–Sn bond lengths are 3.00 Å. In the tenth Au+0.40- site, Au+0.40- is bonded to nine Au+0.40- and three equivalent Sn2+ atoms to form distorted AuSn3Au9 cuboctahedra that share corners with six equivalent SnAu12 cuboctahedra, corners with twelve AuSn3Au9 cuboctahedra, edges with eighteen AuSn2Au10 cuboctahedra, faces with four equivalent SnAu12 cuboctahedra, and faces with sixteen AuSn3Au9 cuboctahedra. The Au–Au bond length is 2.96 Å. All Au–Sn bond lengths are 3.00 Å. Sn2+ is bonded to twelve Au+0.40- atoms to form SnAu12 cuboctahedra that share corners with six equivalent SnAu12 cuboctahedra, corners with twelve AuSn3Au9 cuboctahedra, edges with six equivalent SnAu12 cuboctahedra, edges with twelve AuSn2Au10 cuboctahedra, and faces with twenty AuSn3Au9 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on BaLa2TiCr2O9 by Materials Project

BaLa2TiCr2O9 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Cmmm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with five LaO12 cuboctahedra, corners with seven BaO12 cuboctahedra, faces with two equivalent LaO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with two equivalent CrO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.81–2.94 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent LaO12 cuboctahedra, corners with ten BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.81–2.92 Å. There are three inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with five BaO12 cuboctahedra, corners with seven LaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.64–2.81 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share a cornercorner with one BaO12 cuboctahedra, corners with eleven LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, and faces with eight CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.58–2.85 Å. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, and faces with eight CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.69–2.85 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 two equivalent CrO6 octahedra, corners with four TiO6 octahedra, faces with two equivalent LaO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is two shorter (1.98 Å) and four longer (2.01 Å) Ti–O bond length. There are three inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four CrO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Cr–O bond distances ranging from 1.98–2.00 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six CrO6 octahedra and faces with eight LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is two shorter (1.97 Å) and four longer (1.98 Å) Cr–O bond length. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six CrO6 octahedra and faces with eight LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is two shorter (1.97 Å) and four longer (1.98 Å) Cr–O bond length. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to one Ba2+, three La3+, and two equivalent Cr3+ atoms. There are one shorter (2.58 Å) and two longer (2.81 Å) O–La bond lengths. Both O–Cr bond lengths are 1.99 Å. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent La3+, one Ti4+, and one Cr3+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Cr3+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Cr3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four equivalent La3+ and two equivalent Cr3+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to three Ba2+, one La3+, and two equivalent Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to one Ba2+, three La3+, and two equivalent Cr3+ atoms. The O–Ba bond length is 2.94 Å. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to four La3+ and two equivalent Cr3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Cr3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba8Zr3(SbO6)4 by Materials Project

Ba8Zr3(SbO6)4 crystallizes in the tetragonal P4/mmm 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 distorted BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with three ZrO6 octahedra, and faces with four SbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–3.16 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with three ZrO6 octahedra, and faces with four SbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.79–3.18 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with three ZrO6 octahedra, and faces with four SbO6 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 distorted BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with three ZrO6 octahedra, and faces with four SbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–3.17 Å. There are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six SbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are five shorter (2.13 Å) and one longer (2.14 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six SbO6 octahedra and faces with eight equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.12 Å) and two longer (2.13 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six SbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Zr–O bond lengths are 2.12 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six SbO6 octahedra and faces with eight equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Zr–O bond lengths are 2.12 Å. There are five inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with five ZrO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Sb–O bond distances ranging from 1.95–2.06 Å. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with five ZrO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Sb–O bond distances ranging from 1.95–2.06 Å. In the third Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with four ZrO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Sb–O bond distances ranging from 1.93–2.09 Å. In the fourth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with five ZrO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Sb–O bond distances ranging from 1.95–2.06 Å. In the fifth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with four ZrO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Sb–O bond distances ranging from 1.92–2.09 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted square pyramidal geometry to four equivalent Ba2+ and one Sb5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Zr4+, and one Sb5+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Sb5+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Zr4+, and one Sb5+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Zr4+, and one Sb5+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to four equivalent Ba2+ and one Sb5+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Zr4+, and one Sb5+ atom. In the eighth O2- site, O2- is bonded in a distorted square pyramidal geometry to four Ba2+ and one Sb5+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to four equivalent Ba2+ and one Sb5+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Zr4+, and one Sb5+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Zr4+, and one Sb5+ atom. In the twelfth O2- site, O2- is bonded in a linear geometry to four Ba2+, one Zr4+, and one Sb5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+, one Zr4+, and one Sb5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Zr4+, and one Sb5+ atom. In the fifteenth O2- site, O2- is bonded in a linear geometry to four equivalent Ba2+, one Zr4+, and one Sb5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted square pyramidal geometry to four equivalent Ba2+ and one Sb5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to four equivalent Ba2+, one Zr4+, and one Sb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na5(WO3)6 by Materials Project

Na5(WO3)6 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.82 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra, faces with four NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.81 Å. In the third Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.81 Å. There are two inequivalent W+5.17+ sites. In the first W+5.17+ site, W+5.17+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of W–O bond distances ranging from 1.93–2.00 Å. In the second W+5.17+ site, W+5.17+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of W–O bond distances ranging from 1.97–2.02 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Na1+ and two equivalent W+5.17+ atoms to form distorted ONa4W2 octahedra that share corners with six ONa4W2 octahedra, corners with sixteen ONa3W2 square pyramids, edges with two equivalent ONa4W2 octahedra, edges with two equivalent ONa3W2 square pyramids, faces with four ONa4W2 octahedra, and faces with four ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 60–61°. In the second O2- site, O2- is bonded to three Na1+ and two W+5.17+ atoms to form distorted ONa3W2 square pyramids that share corners with eight ONa4W2 octahedra, corners with eleven ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with five ONa3W2 square pyramids, faces with two ONa4W2 octahedra, and faces with two ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 1–61°. In the third O2- site, O2- is bonded to three Na1+ and two W+5.17+ atoms to form distorted ONa3W2 square pyramids that share corners with eight ONa4W2 octahedra, corners with eleven ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with five ONa3W2 square pyramids, faces with two ONa4W2 octahedra, and faces with two ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 1–61°. In the fourth O2- site, O2- is bonded to four Na1+ and two equivalent W+5.17+ atoms to form distorted ONa4W2 octahedra that share corners with six ONa4W2 octahedra, corners with sixteen ONa3W2 square pyramids, edges with two equivalent ONa4W2 octahedra, edges with two equivalent ONa3W2 square pyramids, faces with four ONa4W2 octahedra, and faces with four ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 60–61°. In the fifth O2- site, O2- is bonded to four Na1+ and two equivalent W+5.17+ atoms to form distorted ONa4W2 octahedra that share corners with five ONa4W2 octahedra, corners with seventeen ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with three ONa3W2 square pyramids, faces with four ONa4W2 octahedra, and faces with four ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 0–60°. In the sixth O2- site, O2- is bonded to three Na1+ and two equivalent W+5.17+ atoms to form distorted ONa3W2 square pyramids that share corners with ten ONa4W2 octahedra, corners with nine ONa3W2 square pyramids, edges with two equivalent ONa4W2 octahedra, edges with four equivalent ONa3W2 square pyramids, and faces with four equivalent ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 1–60°. In the seventh O2- site, O2- is bonded to three Na1+ and two equivalent W+5.17+ atoms to form distorted ONa3W2 square pyramids that share corners with eight ONa4W2 octahedra, corners with eleven ONa3W2 square pyramids, edges with two equivalent ONa4W2 octahedra, edges with four equivalent ONa3W2 square pyramids, and faces with four equivalent ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 59–60°. In the eighth O2- site, O2- is bonded to three Na1+ and two equivalent W+5.17+ atoms to form distorted ONa3W2 square pyramids that share corners with eight ONa4W2 octahedra, corners with eleven ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with five ONa3W2 square pyramids, and faces with four ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–60°.

36 MATERIALS SCIENCE↗

Materials Data on Sr7CaFe4(CoO6)4 by Materials Project

Sr7CaFe4(CoO6)4 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are three inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with four FeO6 octahedra, and faces with four CoO6 octahedra. There are two shorter (2.73 Å) and ten longer (2.74 Å) Sr–O bond lengths. In the second Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four FeO6 octahedra, and faces with four CoO6 octahedra. There are eight shorter (2.74 Å) and four longer (2.76 Å) Sr–O bond lengths. In the third Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve equivalent SrO12 cuboctahedra, faces with six equivalent SrO12 cuboctahedra, faces with four FeO6 octahedra, and faces with four CoO6 octahedra. There are nine shorter (2.74 Å) and three longer (2.75 Å) Sr–O bond lengths. Ca is bonded to twelve O atoms to form CaO12 cuboctahedra that share corners with twelve equivalent SrO12 cuboctahedra, faces with six equivalent SrO12 cuboctahedra, faces with four FeO6 octahedra, and faces with four CoO6 octahedra. There are nine shorter (2.71 Å) and three longer (2.72 Å) Ca–O bond lengths. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six equivalent FeO6 octahedra, a faceface with one CaO12 cuboctahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is three shorter (1.92 Å) and three longer (1.93 Å) Fe–O bond length. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent CoO6 octahedra, a faceface with one CaO12 cuboctahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 1.94–1.97 Å. There are two inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent FeO6 octahedra, a faceface with one CaO12 cuboctahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Co–O bond distances ranging from 1.90–1.92 Å. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six equivalent CoO6 octahedra, a faceface with one CaO12 cuboctahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is three shorter (1.96 Å) and three longer (1.98 Å) Co–O bond length. There are six inequivalent O sites. In the first O site, O is bonded to three Sr, one Ca, and two Fe atoms to form distorted OSr3CaFe2 octahedra that share corners with ten OSr4Fe2 octahedra and faces with six OSr3CaFe2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the second O site, O is bonded in a distorted linear geometry to three Sr, one Ca, one Fe, and one Co atom. In the third O site, O is bonded in a distorted linear geometry to three Sr, one Ca, and two Co atoms. In the fourth O site, O is bonded to four Sr and two Fe atoms to form distorted OSr4Fe2 octahedra that share corners with fourteen OSr3CaFe2 octahedra, edges with four equivalent OSr4FeCo octahedra, and faces with six OSr3CaFe2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the fifth O site, O is bonded to four Sr, one Fe, and one Co atom to form distorted OSr4FeCo octahedra that share corners with fourteen OSr3CaFe2 octahedra, edges with four OSr4Fe2 octahedra, and faces with five OSr3CaFe2 octahedra. The corner-sharing octahedra tilt angles range from 1–60°. In the sixth O site, O is bonded to four Sr and two Co atoms to form distorted OSr4Co2 octahedra that share corners with sixteen OSr3CaFe2 octahedra, edges with four equivalent OSr4FeCo octahedra, and faces with four OSr4FeCo octahedra. The corner-sharing octahedra tilt angles range from 1–61°.

36 MATERIALS SCIENCE↗

Materials Data on BaSr7Co4(CuO6)4 by Materials Project

BaSr7Co4(CuO6)4 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with twelve equivalent SrO12 cuboctahedra, faces with six equivalent SrO12 cuboctahedra, faces with four CoO6 octahedra, and faces with four CuO6 octahedra. There are three shorter (2.81 Å) and nine longer (2.82 Å) Ba–O bond lengths. There are three inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with four CoO6 octahedra, and faces with four CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.74–2.78 Å. In the second Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four CoO6 octahedra, and faces with four CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.66–2.78 Å. In the third Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve equivalent SrO12 cuboctahedra, faces with six equivalent SrO12 cuboctahedra, faces with four CoO6 octahedra, and faces with four CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.76 Å. There are two inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent CuO6 octahedra, a faceface with one BaO12 cuboctahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Co–O bond distances ranging from 1.91–1.99 Å. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six equivalent CoO6 octahedra, a faceface with one BaO12 cuboctahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is three shorter (1.90 Å) and three longer (1.92 Å) Co–O bond length. There are two inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six equivalent CuO6 octahedra, a faceface with one BaO12 cuboctahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There is three shorter (1.95 Å) and three longer (1.96 Å) Cu–O bond length. In the second Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four equivalent CoO6 octahedra, a faceface with one BaO12 cuboctahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Cu–O bond distances ranging from 1.94–1.99 Å. There are six inequivalent O sites. In the first O site, O is bonded to one Ba, three Sr, and two Cu atoms to form distorted OBaSr3Cu2 octahedra that share corners with fourteen OBaSr3CoCu octahedra, edges with four equivalent OBaSr3CoCu octahedra, and faces with six OBaSr3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the second O site, O is bonded to one Ba, three Sr, one Co, and one Cu atom to form a mixture of distorted edge, corner, and face-sharing OBaSr3CoCu octahedra. The corner-sharing octahedra tilt angles range from 2–63°. In the third O site, O is bonded to one Ba, three Sr, and two Co atoms to form distorted OBaSr3Co2 octahedra that share corners with sixteen OBaSr3Cu2 octahedra, edges with four equivalent OBaSr3CoCu octahedra, and faces with four OBaSr3CoCu octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the fourth O site, O is bonded to four Sr and two Cu atoms to form a mixture of distorted corner and face-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–60°. In the fifth O site, O is bonded in a distorted linear geometry to four Sr, one Co, and one Cu atom. In the sixth O site, O is bonded in a distorted linear geometry to four Sr and two Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on TaTiNi6 by Materials Project

TiTaNi6 is beta Cu3Ti-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with six equivalent TiNi12 cuboctahedra, corners with twelve NiTa2Ti2Ni8 cuboctahedra, edges with eighteen NiTa2Ti2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with six equivalent TaNi12 cuboctahedra, and faces with twelve NiTa2Ti2Ni8 cuboctahedra. There are six shorter (2.56 Å) and six longer (2.60 Å) Ti–Ni bond lengths. Ta is bonded to twelve Ni atoms to form TaNi12 cuboctahedra that share corners with six equivalent TaNi12 cuboctahedra, corners with twelve NiTa2Ti2Ni8 cuboctahedra, edges with eighteen NiTa2Ti2Ni8 cuboctahedra, faces with two equivalent TaNi12 cuboctahedra, faces with six equivalent TiNi12 cuboctahedra, and faces with twelve NiTa2Ti2Ni8 cuboctahedra. There are six shorter (2.56 Å) and six longer (2.60 Å) Ta–Ni bond lengths. There are five inequivalent Ni sites. In the first Ni site, Ni is bonded to two equivalent Ti, two equivalent Ta, and eight Ni atoms to form distorted NiTa2Ti2Ni8 cuboctahedra that share corners with four equivalent TaNi12 cuboctahedra, corners with fourteen NiTa2Ti2Ni8 cuboctahedra, edges with two equivalent TaNi12 cuboctahedra, edges with four equivalent TiNi12 cuboctahedra, edges with twelve NiTa2Ti2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent TaNi12 cuboctahedra, and faces with sixteen NiTa2Ti2Ni8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.52–2.61 Å. In the second Ni site, Ni is bonded to two equivalent Ti, two equivalent Ta, and eight Ni atoms to form distorted NiTa2Ti2Ni8 cuboctahedra that share corners with four equivalent TaNi12 cuboctahedra, corners with fourteen NiTa2Ti2Ni8 cuboctahedra, edges with two equivalent TaNi12 cuboctahedra, edges with four equivalent TiNi12 cuboctahedra, edges with twelve NiTa2Ti2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent TaNi12 cuboctahedra, and faces with sixteen NiTa2Ti2Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.56 Å. In the third Ni site, Ni is bonded to two equivalent Ti, two equivalent Ta, and eight Ni atoms to form distorted NiTa2Ti2Ni8 cuboctahedra that share corners with four equivalent TiNi12 cuboctahedra, corners with fourteen NiTa2Ti2Ni8 cuboctahedra, edges with two equivalent TiNi12 cuboctahedra, edges with four equivalent TaNi12 cuboctahedra, edges with twelve NiTa2Ti2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent TaNi12 cuboctahedra, and faces with sixteen NiTa2Ti2Ni8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.49–2.63 Å. In the fourth Ni site, Ni is bonded to two equivalent Ti, two equivalent Ta, and eight Ni atoms to form distorted NiTa2Ti2Ni8 cuboctahedra that share corners with four equivalent TiNi12 cuboctahedra, corners with fourteen NiTa2Ti2Ni8 cuboctahedra, edges with two equivalent TiNi12 cuboctahedra, edges with four equivalent TaNi12 cuboctahedra, edges with twelve NiTa2Ti2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent TaNi12 cuboctahedra, and faces with sixteen NiTa2Ti2Ni8 cuboctahedra. There are one shorter (2.49 Å) and one longer (2.63 Å) Ni–Ni bond lengths. In the fifth Ni site, Ni is bonded to two equivalent Ti, two equivalent Ta, and eight Ni atoms to form distorted NiTa2Ti2Ni8 cuboctahedra that share corners with four equivalent TiNi12 cuboctahedra, corners with fourteen NiTa2Ti2Ni8 cuboctahedra, edges with two equivalent TiNi12 cuboctahedra, edges with four equivalent TaNi12 cuboctahedra, edges with twelve NiTa2Ti2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent TaNi12 cuboctahedra, and faces with sixteen NiTa2Ti2Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on CsMg14Zr by Materials Project

CsMg14Zr crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Cs is bonded to ten Mg and two equivalent Zr atoms to form CsMg10Zr2 cuboctahedra that share corners with six equivalent CsMg10Zr2 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with two equivalent ZrCs2Mg10 cuboctahedra, edges with eight MgCs2Mg8Zr2 cuboctahedra, faces with two equivalent ZrCs2Mg10 cuboctahedra, and faces with fourteen MgMg12 cuboctahedra. There are a spread of Cs–Mg bond distances ranging from 3.28–3.44 Å. Both Cs–Zr bond lengths are 3.34 Å. There are thirteen inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent CsMg10Zr2 cuboctahedra, corners with fourteen MgMg12 cuboctahedra, edges with ten MgMg12 cuboctahedra, faces with two equivalent ZrCs2Mg10 cuboctahedra, and faces with fourteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.12–3.34 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent ZrCs2Mg10 cuboctahedra, corners with fourteen MgMg12 cuboctahedra, edges with ten MgMg12 cuboctahedra, faces with two equivalent CsMg10Zr2 cuboctahedra, and faces with fourteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.30 Å. In the third Mg site, Mg is bonded to two equivalent Cs, eight Mg, and two equivalent Zr atoms to form distorted MgCs2Mg8Zr2 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with two equivalent CsMg10Zr2 cuboctahedra, edges with two equivalent ZrCs2Mg10 cuboctahedra, edges with ten MgCs2Mg8Zr2 cuboctahedra, faces with two equivalent CsMg10Zr2 cuboctahedra, faces with two equivalent ZrCs2Mg10 cuboctahedra, and faces with eight MgCs2Mg8Zr2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.23–3.39 Å. There are one shorter (3.19 Å) and one longer (3.39 Å) Mg–Zr bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent CsMg10Zr2 cuboctahedra, corners with four equivalent ZrCs2Mg10 cuboctahedra, corners with ten MgCs2Mg8Zr2 cuboctahedra, edges with fourteen MgMg12 cuboctahedra, and faces with twelve MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.38 Å. In the fifth Mg site, Mg is bonded to two equivalent Cs, eight Mg, and two equivalent Zr atoms to form distorted MgCs2Mg8Zr2 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with two equivalent CsMg10Zr2 cuboctahedra, edges with two equivalent ZrCs2Mg10 cuboctahedra, edges with ten MgCs2Mg8Zr2 cuboctahedra, faces with two equivalent CsMg10Zr2 cuboctahedra, faces with two equivalent ZrCs2Mg10 cuboctahedra, and faces with eight MgCs2Mg8Zr2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.23–3.39 Å. There are one shorter (3.19 Å) and one longer (3.39 Å) Mg–Zr bond lengths. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to one Cs, ten Mg, and one Zr atom. The Mg–Cs bond length is 3.43 Å. There are a spread of Mg–Mg bond distances ranging from 3.12–3.53 Å. The Mg–Zr bond length is 3.29 Å. In the seventh Mg site, Mg is bonded in a 12-coordinate geometry to one Cs, ten Mg, and one Zr atom. The Mg–Cs bond length is 3.43 Å. There are a spread of Mg–Mg bond distances ranging from 3.12–3.53 Å. The Mg–Zr bond length is 3.29 Å. In the eighth Mg site, Mg is bonded in a 12-coordinate geometry to one Cs, ten Mg, and one Zr atom. There are a spread of Mg–Mg bond distances ranging from 3.14–3.53 Å. The Mg–Zr bond length is 3.29 Å. In the ninth Mg site, Mg is bonded to eleven Mg and one Zr atom to form MgMg11Zr cuboctahedra that share corners with ten MgMg11Zr cuboctahedra, edges with two equivalent ZrCs2Mg10 cuboctahedra, edges with twelve MgMg12 cuboctahedra, a faceface with one ZrCs2Mg10 cuboctahedra, faces with three equivalent CsMg10Zr2 cuboctahedra, and faces with twelve MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.23–3.35 Å. The Mg–Zr bond length is 3.26 Å. In the tenth Mg site, Mg is bonded to one Cs and eleven Mg atoms to form distorted MgCsMg11 cuboctahedra that share corners with ten MgMg11Zr cuboctahedra, edges with two equivalent CsMg10Zr2 cuboctahedra, edges with twelve MgMg12 cuboctahedra, a faceface with one CsMg10Zr2 cuboctahedra, faces with three equivalent ZrCs2Mg10 cuboctahedra, and faces with twelve MgMg12 cuboctahedra. There are one shorter (3.10 Å) and one longer (3.43 Å) Mg–Mg bond lengths. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent CsMg10Zr2 cuboctahedra, corners with four equivalent ZrCs2Mg10 cuboctahedra, corners with ten MgMg12 cuboctahedra, edges with fourteen MgMg12 cuboctahedra, and faces with twelve MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.38 Å. In the twelfth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent CsMg10Zr2 cuboctahedra, corners with four equivalent ZrCs2Mg10 cuboctahedra, corners with ten MgCs2Mg8Zr2 cuboctahedra, edges with fourteen MgMg12 cuboctahedra, and faces with twelve MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.14 Å. In the thirteenth Mg site, Mg is bonded in a 12-coordinate geometry to one Cs, ten Mg, and one Zr atom. The Mg–Mg bond length is 3.34 Å. The Mg–Zr bond length is 3.29 Å. Zr is bonded to two equivalent Cs and ten Mg atoms to form distorted ZrCs2Mg10 cuboctahedra that share corners with six equivalent ZrCs2Mg10 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with two equivalent CsMg10Zr2 cuboctahedra, edges with eight MgCs2Mg8Zr2 cuboctahedra, faces with two equivalent CsMg10Zr2 cuboctahedra, and faces with fourteen MgMg12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ti3AlNi12 by Materials Project

Ti3Ni12Al is Uranium Silicide-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with six equivalent TiNi12 cuboctahedra, corners with six equivalent AlNi12 cuboctahedra, edges with twenty-four NiTi2Al2Ni8 cuboctahedra, faces with six equivalent TiNi12 cuboctahedra, and faces with twelve NiTi4Ni8 cuboctahedra. All Ti–Ni bond lengths are 2.54 Å. In the second Ti site, Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with six equivalent TiNi12 cuboctahedra, corners with twelve NiTi3AlNi8 cuboctahedra, edges with eighteen NiTi2Al2Ni8 cuboctahedra, faces with three equivalent AlNi12 cuboctahedra, faces with five TiNi12 cuboctahedra, and faces with twelve NiTi2Al2Ni8 cuboctahedra. There are a spread of Ti–Ni bond distances ranging from 2.54–2.57 Å. There are six inequivalent Ni sites. In the first Ni site, Ni is bonded to two equivalent Ti, eight Ni, and two equivalent Al atoms to form distorted NiTi2Al2Ni8 cuboctahedra that share corners with twelve NiTi2Al2Ni8 cuboctahedra, edges with two equivalent AlNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi2Al2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, and faces with fourteen NiTi2Al2Ni8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.47–2.61 Å. Both Ni–Al bond lengths are 2.54 Å. In the second Ni site, Ni is bonded to two equivalent Ti, eight Ni, and two equivalent Al atoms to form distorted NiTi2Al2Ni8 cuboctahedra that share corners with twelve NiTi4Ni8 cuboctahedra, edges with two equivalent AlNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi2Al2Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, and faces with fourteen NiTi2Al2Ni8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.47–2.61 Å. Both Ni–Al bond lengths are 2.54 Å. In the third Ni site, Ni is bonded to four Ti and eight Ni atoms to form distorted NiTi4Ni8 cuboctahedra that share corners with twelve NiTi2Al2Ni8 cuboctahedra, edges with two equivalent AlNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi2Al2Ni8 cuboctahedra, faces with four TiNi12 cuboctahedra, and faces with fourteen NiTi4Ni8 cuboctahedra. There are a spread of Ni–Ni bond distances ranging from 2.46–2.62 Å. In the fourth Ni site, Ni is bonded to four Ti and eight Ni atoms to form distorted NiTi4Ni8 cuboctahedra that share corners with twelve NiTi4Ni8 cuboctahedra, edges with two equivalent AlNi12 cuboctahedra, edges with six TiNi12 cuboctahedra, edges with sixteen NiTi2Al2Ni8 cuboctahedra, faces with four TiNi12 cuboctahedra, and faces with fourteen NiTi4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.52 Å. In the fifth Ni site, Ni is bonded to three Ti, eight Ni, and one Al atom to form NiTi3AlNi8 cuboctahedra that share corners with four equivalent TiNi12 cuboctahedra, corners with fourteen NiTi3AlNi8 cuboctahedra, edges with two equivalent AlNi12 cuboctahedra, edges with four TiNi12 cuboctahedra, edges with twelve NiTi2Al2Ni8 cuboctahedra, a faceface with one AlNi12 cuboctahedra, faces with three TiNi12 cuboctahedra, and faces with sixteen NiTi2Al2Ni8 cuboctahedra. There are two shorter (2.53 Å) and two longer (2.54 Å) Ni–Ni bond lengths. The Ni–Al bond length is 2.53 Å. In the sixth Ni site, Ni is bonded to three Ti, eight Ni, and one Al atom to form NiTi3AlNi8 cuboctahedra that share corners with four equivalent TiNi12 cuboctahedra, corners with fourteen NiTi3AlNi8 cuboctahedra, edges with two equivalent AlNi12 cuboctahedra, edges with four TiNi12 cuboctahedra, edges with twelve NiTi2Al2Ni8 cuboctahedra, a faceface with one AlNi12 cuboctahedra, faces with three TiNi12 cuboctahedra, and faces with sixteen NiTi2Al2Ni8 cuboctahedra. The Ni–Ni bond length is 2.52 Å. The Ni–Al bond length is 2.53 Å. Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with six equivalent TiNi12 cuboctahedra, corners with six equivalent AlNi12 cuboctahedra, edges with twenty-four NiTi2Al2Ni8 cuboctahedra, faces with six equivalent TiNi12 cuboctahedra, and faces with twelve NiTi2Al2Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg6BiMo by Materials Project

Mg6MoBi crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are six inequivalent Mg sites. In the first Mg site, Mg is bonded to eight Mg, two equivalent Mo, and two equivalent Bi atoms to form distorted MgMg8Bi2Mo2 cuboctahedra that share corners with four equivalent MoMg10Bi2 cuboctahedra, corners with four equivalent BiMg10Mo2 cuboctahedra, corners with ten MgMg8Bi2Mo2 cuboctahedra, edges with two equivalent MoMg10Bi2 cuboctahedra, edges with two equivalent BiMg10Mo2 cuboctahedra, edges with ten MgMg8Bi2Mo2 cuboctahedra, faces with two equivalent MoMg10Bi2 cuboctahedra, faces with two equivalent BiMg10Mo2 cuboctahedra, and faces with fourteen MgMg8Bi2Mo2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.08–3.15 Å. Both Mg–Mo bond lengths are 3.14 Å. There are one shorter (3.13 Å) and one longer (3.15 Å) Mg–Bi bond lengths. In the second Mg site, Mg is bonded to eight Mg, two equivalent Mo, and two equivalent Bi atoms to form distorted MgMg8Bi2Mo2 cuboctahedra that share corners with four equivalent MoMg10Bi2 cuboctahedra, corners with four equivalent BiMg10Mo2 cuboctahedra, corners with ten MgMg8Bi2Mo2 cuboctahedra, edges with two equivalent MoMg10Bi2 cuboctahedra, edges with two equivalent BiMg10Mo2 cuboctahedra, edges with ten MgMg8Bi2Mo2 cuboctahedra, faces with two equivalent MoMg10Bi2 cuboctahedra, faces with two equivalent BiMg10Mo2 cuboctahedra, and faces with fourteen MgMg8Bi2Mo2 cuboctahedra. There are two shorter (3.12 Å) and four longer (3.15 Å) Mg–Mg bond lengths. Both Mg–Mo bond lengths are 3.14 Å. There are one shorter (3.13 Å) and one longer (3.15 Å) Mg–Bi bond lengths. In the third Mg site, Mg is bonded to eight Mg, two equivalent Mo, and two equivalent Bi atoms to form distorted MgMg8Bi2Mo2 cuboctahedra that share corners with fourteen MgMg8Bi2Mo2 cuboctahedra, edges with four equivalent MoMg10Bi2 cuboctahedra, edges with four equivalent BiMg10Mo2 cuboctahedra, edges with eight MgMg8Bi2Mo2 cuboctahedra, faces with two equivalent MoMg10Bi2 cuboctahedra, faces with two equivalent BiMg10Mo2 cuboctahedra, and faces with fourteen MgMg8Bi2Mo2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 2.90–3.30 Å. Both Mg–Mo bond lengths are 3.08 Å. Both Mg–Bi bond lengths are 3.19 Å. In the fourth Mg site, Mg is bonded to eight Mg, two equivalent Mo, and two equivalent Bi atoms to form distorted MgMg8Bi2Mo2 cuboctahedra that share corners with fourteen MgMg8Bi2Mo2 cuboctahedra, edges with four equivalent MoMg10Bi2 cuboctahedra, edges with four equivalent BiMg10Mo2 cuboctahedra, edges with eight MgMg8Bi2Mo2 cuboctahedra, faces with two equivalent MoMg10Bi2 cuboctahedra, faces with two equivalent BiMg10Mo2 cuboctahedra, and faces with fourteen MgMg8Bi2Mo2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.03–3.26 Å. Both Mg–Mo bond lengths are 3.08 Å. Both Mg–Bi bond lengths are 3.19 Å. In the fifth Mg site, Mg is bonded in a distorted water-like geometry to ten Mg and two equivalent Mo atoms. Both Mg–Mg bond lengths are 3.10 Å. Both Mg–Mo bond lengths are 3.11 Å. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Bi atoms to form distorted MgMg10Bi2 cuboctahedra that share corners with fourteen MgMg8Bi2Mo2 cuboctahedra, edges with four equivalent BiMg10Mo2 cuboctahedra, edges with twelve MgMg8Bi2Mo2 cuboctahedra, faces with two equivalent BiMg10Mo2 cuboctahedra, faces with six equivalent MoMg10Bi2 cuboctahedra, and faces with ten MgMg8Bi2Mo2 cuboctahedra. Both Mg–Bi bond lengths are 3.17 Å. Mo is bonded to ten Mg and two equivalent Bi atoms to form MoMg10Bi2 cuboctahedra that share corners with four equivalent BiMg10Mo2 cuboctahedra, corners with six equivalent MoMg10Bi2 cuboctahedra, corners with eight MgMg8Bi2Mo2 cuboctahedra, edges with two equivalent BiMg10Mo2 cuboctahedra, edges with twelve MgMg8Bi2Mo2 cuboctahedra, faces with two equivalent MoMg10Bi2 cuboctahedra, faces with two equivalent BiMg10Mo2 cuboctahedra, and faces with fourteen MgMg8Bi2Mo2 cuboctahedra. Both Mo–Bi bond lengths are 3.10 Å. Bi is bonded to ten Mg and two equivalent Mo atoms to form BiMg10Mo2 cuboctahedra that share corners with four equivalent MoMg10Bi2 cuboctahedra, corners with six equivalent BiMg10Mo2 cuboctahedra, corners with eight MgMg8Bi2Mo2 cuboctahedra, edges with two equivalent MoMg10Bi2 cuboctahedra, edges with sixteen MgMg8Bi2Mo2 cuboctahedra, faces with two equivalent MoMg10Bi2 cuboctahedra, faces with two equivalent BiMg10Mo2 cuboctahedra, and faces with ten MgMg8Bi2Mo2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg14CdSn by Materials Project

Mg14CdSn crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are nine inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent CdMg10Sn2 cuboctahedra, corners with fourteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, faces with two equivalent SnMg10Cd2 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.19 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent SnMg10Cd2 cuboctahedra, corners with fourteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, faces with two equivalent CdMg10Sn2 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.19 Å. In the third Mg site, Mg is bonded to eight Mg, two equivalent Cd, and two equivalent Sn atoms to form distorted MgMg8Cd2Sn2 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with two equivalent CdMg10Sn2 cuboctahedra, edges with two equivalent SnMg10Cd2 cuboctahedra, edges with fourteen MgMg8Cd2Sn2 cuboctahedra, faces with two equivalent CdMg10Sn2 cuboctahedra, faces with two equivalent SnMg10Cd2 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.22 Å. There are one shorter (3.16 Å) and one longer (3.17 Å) Mg–Cd bond lengths. There are one shorter (3.16 Å) and one longer (3.17 Å) Mg–Sn bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent CdMg10Sn2 cuboctahedra, corners with four equivalent SnMg10Cd2 cuboctahedra, corners with ten MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are five shorter (3.18 Å) and three longer (3.19 Å) Mg–Mg bond lengths. In the fifth Mg site, Mg is bonded to eight Mg, two equivalent Cd, and two equivalent Sn atoms to form distorted MgMg8Cd2Sn2 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with two equivalent CdMg10Sn2 cuboctahedra, edges with two equivalent SnMg10Cd2 cuboctahedra, edges with fourteen MgMg8Cd2Sn2 cuboctahedra, faces with two equivalent CdMg10Sn2 cuboctahedra, faces with two equivalent SnMg10Cd2 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.22 Å. There are one shorter (3.16 Å) and one longer (3.17 Å) Mg–Cd bond lengths. There are one shorter (3.16 Å) and one longer (3.17 Å) Mg–Sn bond lengths. In the sixth Mg site, Mg is bonded to ten Mg, one Cd, and one Sn atom to form distorted MgMg10CdSn cuboctahedra that share corners with eighteen MgMg10CdSn cuboctahedra, edges with two equivalent CdMg10Sn2 cuboctahedra, edges with two equivalent SnMg10Cd2 cuboctahedra, edges with fourteen MgMg12 cuboctahedra, a faceface with one CdMg10Sn2 cuboctahedra, a faceface with one SnMg10Cd2 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.19 Å. The Mg–Cd bond length is 3.21 Å. The Mg–Sn bond length is 3.21 Å. In the seventh Mg site, Mg is bonded to ten Mg, one Cd, and one Sn atom to form distorted MgMg10CdSn cuboctahedra that share corners with eighteen MgMg10CdSn cuboctahedra, edges with two equivalent CdMg10Sn2 cuboctahedra, edges with two equivalent SnMg10Cd2 cuboctahedra, edges with fourteen MgMg12 cuboctahedra, a faceface with one CdMg10Sn2 cuboctahedra, a faceface with one SnMg10Cd2 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.19 Å. The Mg–Cd bond length is 3.21 Å. The Mg–Sn bond length is 3.21 Å. In the eighth Mg site, Mg is bonded to eleven Mg and one Sn atom to form distorted MgMg11Sn cuboctahedra that share corners with eighteen MgMg10CdSn cuboctahedra, edges with two equivalent SnMg10Cd2 cuboctahedra, edges with sixteen MgMg12 cuboctahedra, a faceface with one SnMg10Cd2 cuboctahedra, faces with three equivalent CdMg10Sn2 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.19 Å. The Mg–Sn bond length is 3.21 Å. In the ninth Mg site, Mg is bonded to eleven Mg and one Cd atom to form MgMg11Cd cuboctahedra that share corners with eighteen MgMg10CdSn cuboctahedra, edges with two equivalent CdMg10Sn2 cuboctahedra, edges with sixteen MgMg12 cuboctahedra, a faceface with one CdMg10Sn2 cuboctahedra, faces with three equivalent SnMg10Cd2 cuboctahedra, and faces with sixteen MgMg12 cuboctahedra. The Mg–Cd bond length is 3.20 Å. Cd is bonded to ten Mg and two equivalent Sn atoms to form CdMg10Sn2 cuboctahedra that share corners with six equivalent CdMg10Sn2 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with two equivalent SnMg10Cd2 cuboctahedra, edges with sixteen MgMg8Cd2Sn2 cuboctahedra, faces with two equivalent SnMg10Cd2 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra. Both Cd–Sn bond lengths are 3.19 Å. Sn is bonded to ten Mg and two equivalent Cd atoms to form SnMg10Cd2 cuboctahedra that share corners with six equivalent SnMg10Cd2 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with two equivalent CdMg10Sn2 cuboctahedra, edges with sixteen MgMg8Cd2Sn2 cuboctahedra, faces with two equivalent CdMg10Sn2 cuboctahedra, and faces with eighteen MgMg12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg6GaFe by Materials Project

Mg6FeGa crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to eight Mg, two equivalent Fe, and two equivalent Ga atoms to form distorted MgMg8Ga2Fe2 cuboctahedra that share corners with four equivalent FeMg10Ga2 cuboctahedra, corners with fourteen MgMg8Ga2Fe2 cuboctahedra, edges with two equivalent FeMg10Ga2 cuboctahedra, edges with four equivalent GaMg10Fe2 cuboctahedra, edges with eight MgMg8Ga2Fe2 cuboctahedra, faces with two equivalent FeMg10Ga2 cuboctahedra, faces with two equivalent GaMg10Fe2 cuboctahedra, and faces with eight MgMg8Ga2Fe2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.00–3.10 Å. There are one shorter (2.99 Å) and one longer (3.08 Å) Mg–Fe bond lengths. Both Mg–Ga bond lengths are 3.00 Å. In the second Mg site, Mg is bonded to eight Mg, two equivalent Fe, and two equivalent Ga atoms to form distorted MgMg8Ga2Fe2 cuboctahedra that share corners with four equivalent FeMg10Ga2 cuboctahedra, corners with fourteen MgMg8Ga2Fe2 cuboctahedra, edges with two equivalent FeMg10Ga2 cuboctahedra, edges with four equivalent GaMg10Fe2 cuboctahedra, edges with eight MgMg8Ga2Fe2 cuboctahedra, faces with two equivalent FeMg10Ga2 cuboctahedra, faces with two equivalent GaMg10Fe2 cuboctahedra, and faces with eight MgMg8Ga2Fe2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.00–3.10 Å. There are one shorter (2.99 Å) and one longer (3.08 Å) Mg–Fe bond lengths. Both Mg–Ga bond lengths are 3.00 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Fe atoms to form distorted MgMg10Fe2 cuboctahedra that share corners with four equivalent FeMg10Ga2 cuboctahedra, corners with fourteen MgMg8Ga2Fe2 cuboctahedra, edges with two equivalent FeMg10Ga2 cuboctahedra, edges with eight MgMg8Ga2Fe2 cuboctahedra, faces with two equivalent FeMg10Ga2 cuboctahedra, faces with six equivalent GaMg10Fe2 cuboctahedra, and faces with eight MgMg8Ga2Fe2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 2.99–3.03 Å. Both Mg–Fe bond lengths are 3.06 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to eight Mg, two equivalent Fe, and two equivalent Ga atoms. There are a spread of Mg–Mg bond distances ranging from 2.92–3.20 Å. Both Mg–Fe bond lengths are 2.95 Å. There are one shorter (2.87 Å) and one longer (3.20 Å) Mg–Ga bond lengths. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to eight Mg, two equivalent Fe, and two equivalent Ga atoms. There are a spread of Mg–Mg bond distances ranging from 2.92–3.20 Å. Both Mg–Fe bond lengths are 2.95 Å. There are one shorter (2.87 Å) and one longer (3.20 Å) Mg–Ga bond lengths. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Ga atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent GaMg10Fe2 cuboctahedra, corners with six equivalent MgMg10Ga2 cuboctahedra, edges with two equivalent GaMg10Fe2 cuboctahedra, edges with twelve MgMg8Ga2Fe2 cuboctahedra, faces with two equivalent GaMg10Fe2 cuboctahedra, faces with six equivalent FeMg10Ga2 cuboctahedra, and faces with eight MgMg8Ga2Fe2 cuboctahedra. The Mg–Mg bond length is 3.02 Å. Both Mg–Ga bond lengths are 3.06 Å. In the seventh Mg site, Mg is bonded to eight Mg, two equivalent Fe, and two equivalent Ga atoms to form distorted MgMg8Ga2Fe2 cuboctahedra that share corners with four equivalent FeMg10Ga2 cuboctahedra, corners with fourteen MgMg8Ga2Fe2 cuboctahedra, edges with two equivalent FeMg10Ga2 cuboctahedra, edges with four equivalent GaMg10Fe2 cuboctahedra, edges with eight MgMg8Ga2Fe2 cuboctahedra, faces with two equivalent FeMg10Ga2 cuboctahedra, faces with two equivalent GaMg10Fe2 cuboctahedra, and faces with eight MgMg8Ga2Fe2 cuboctahedra. There are two shorter (3.00 Å) and two longer (3.03 Å) Mg–Mg bond lengths. There are one shorter (2.99 Å) and one longer (3.08 Å) Mg–Fe bond lengths. Both Mg–Ga bond lengths are 3.00 Å. In the eighth Mg site, Mg is bonded in a 12-coordinate geometry to eight Mg, two equivalent Fe, and two equivalent Ga atoms. Both Mg–Fe bond lengths are 2.95 Å. There are one shorter (2.87 Å) and one longer (3.20 Å) Mg–Ga bond lengths. Fe is bonded to ten Mg and two equivalent Ga atoms to form FeMg10Ga2 cuboctahedra that share corners with six equivalent FeMg10Ga2 cuboctahedra, corners with twelve MgMg8Ga2Fe2 cuboctahedra, edges with four equivalent GaMg10Fe2 cuboctahedra, edges with six MgMg8Ga2Fe2 cuboctahedra, faces with two equivalent FeMg10Ga2 cuboctahedra, faces with two equivalent GaMg10Fe2 cuboctahedra, and faces with twelve MgMg8Ga2Fe2 cuboctahedra. Both Fe–Ga bond lengths are 2.92 Å. Ga is bonded to ten Mg and two equivalent Fe atoms to form GaMg10Fe2 cuboctahedra that share corners with four equivalent MgMg10Ga2 cuboctahedra, corners with six equivalent GaMg10Fe2 cuboctahedra, edges with four equivalent FeMg10Ga2 cuboctahedra, edges with ten MgMg8Ga2Fe2 cuboctahedra, faces with two equivalent FeMg10Ga2 cuboctahedra, faces with two equivalent GaMg10Fe2 cuboctahedra, and faces with twelve MgMg8Ga2Fe2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on LiMg6V by Materials Project

LiMg6V is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Li is bonded to ten Mg and two equivalent V atoms to form LiMg10V2 cuboctahedra that share corners with six equivalent LiMg10V2 cuboctahedra, corners with twelve MgLi2Mg8V2 cuboctahedra, edges with four equivalent VLi2Mg10 cuboctahedra, edges with fourteen MgLi2Mg8V2 cuboctahedra, faces with two equivalent LiMg10V2 cuboctahedra, faces with two equivalent VLi2Mg10 cuboctahedra, and faces with sixteen MgLi2Mg8V2 cuboctahedra. There are a spread of Li–Mg bond distances ranging from 3.00–3.23 Å. Both Li–V bond lengths are 3.10 Å. There are five inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Li, eight Mg, and two equivalent V atoms to form distorted MgLi2Mg8V2 cuboctahedra that share corners with four equivalent VLi2Mg10 cuboctahedra, corners with fourteen MgLi2Mg8V2 cuboctahedra, edges with two equivalent VLi2Mg10 cuboctahedra, edges with four equivalent LiMg10V2 cuboctahedra, edges with twelve MgLi2Mg8V2 cuboctahedra, faces with two equivalent LiMg10V2 cuboctahedra, faces with two equivalent VLi2Mg10 cuboctahedra, and faces with sixteen MgLi2Mg8V2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.05–3.17 Å. There are one shorter (3.11 Å) and one longer (3.13 Å) Mg–V bond lengths. In the second Mg site, Mg is bonded to ten Mg and two equivalent V atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent VLi2Mg10 cuboctahedra, corners with fourteen MgLi2Mg8V2 cuboctahedra, edges with two equivalent VLi2Mg10 cuboctahedra, edges with sixteen MgLi2Mg8V2 cuboctahedra, faces with two equivalent VLi2Mg10 cuboctahedra, faces with six equivalent LiMg10V2 cuboctahedra, and faces with twelve MgLi2Mg8V2 cuboctahedra. There are six shorter (3.12 Å) and one longer (3.14 Å) Mg–Mg bond lengths. Both Mg–V bond lengths are 3.11 Å. In the third Mg site, Mg is bonded to two equivalent Li, eight Mg, and two equivalent V atoms to form distorted MgLi2Mg8V2 cuboctahedra that share corners with four equivalent LiMg10V2 cuboctahedra, corners with fourteen MgLi2Mg8V2 cuboctahedra, edges with two equivalent LiMg10V2 cuboctahedra, edges with four equivalent VLi2Mg10 cuboctahedra, edges with twelve MgMg10V2 cuboctahedra, faces with two equivalent LiMg10V2 cuboctahedra, faces with two equivalent VLi2Mg10 cuboctahedra, and faces with sixteen MgLi2Mg8V2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 2.98–3.23 Å. Both Mg–V bond lengths are 3.06 Å. In the fourth Mg site, Mg is bonded to two equivalent Li and ten Mg atoms to form distorted MgLi2Mg10 cuboctahedra that share corners with four equivalent LiMg10V2 cuboctahedra, corners with fourteen MgLi2Mg8V2 cuboctahedra, edges with two equivalent LiMg10V2 cuboctahedra, edges with sixteen MgLi2Mg8V2 cuboctahedra, faces with two equivalent LiMg10V2 cuboctahedra, faces with six equivalent VLi2Mg10 cuboctahedra, and faces with twelve MgLi2Mg8V2 cuboctahedra. In the fifth Mg site, Mg is bonded to two equivalent Li, eight Mg, and two equivalent V atoms to form distorted MgLi2Mg8V2 cuboctahedra that share corners with four equivalent VLi2Mg10 cuboctahedra, corners with fourteen MgLi2Mg8V2 cuboctahedra, edges with two equivalent VLi2Mg10 cuboctahedra, edges with four equivalent LiMg10V2 cuboctahedra, edges with twelve MgLi2Mg8V2 cuboctahedra, faces with two equivalent LiMg10V2 cuboctahedra, faces with two equivalent VLi2Mg10 cuboctahedra, and faces with sixteen MgLi2Mg8V2 cuboctahedra. Both Mg–Li bond lengths are 3.10 Å. There are a spread of Mg–Mg bond distances ranging from 3.05–3.17 Å. There are one shorter (3.11 Å) and one longer (3.13 Å) Mg–V bond lengths. V is bonded to two equivalent Li and ten Mg atoms to form VLi2Mg10 cuboctahedra that share corners with six equivalent VLi2Mg10 cuboctahedra, corners with twelve MgLi2Mg8V2 cuboctahedra, edges with four equivalent LiMg10V2 cuboctahedra, edges with fourteen MgLi2Mg8V2 cuboctahedra, faces with two equivalent LiMg10V2 cuboctahedra, faces with two equivalent VLi2Mg10 cuboctahedra, and faces with sixteen MgLi2Mg8V2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Ce(RuO4)3 by Materials Project

Ba4Ce(RuO4)3 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are six inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.87–3.34 Å. In the second Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.88–3.37 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with four BaO12 cuboctahedra, faces with three equivalent CeO6 octahedra, and faces with four equivalent RuO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ba–O bond distances ranging from 2.85–3.27 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with six BaO12 cuboctahedra, faces with three equivalent CeO6 octahedra, and faces with four RuO6 octahedra. The corner-sharing octahedra tilt angles range from 11–14°. There are a spread of Ba–O bond distances ranging from 2.86–3.30 Å. In the fifth 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 three equivalent BaO12 cuboctahedra, faces with three equivalent CeO6 octahedra, and faces with four RuO6 octahedra. The corner-sharing octahedra tilt angles range from 10–14°. There are a spread of Ba–O bond distances ranging from 2.83–3.30 Å. In the sixth 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 four BaO12 cuboctahedra, a faceface with one CeO6 octahedra, and faces with six RuO6 octahedra. The corner-sharing octahedra tilt angles range from 12–14°. There are a spread of Ba–O bond distances ranging from 2.91–3.28 Å. There are two inequivalent Ce3+ sites. In the first Ce3+ site, Ce3+ is bonded to six O2- atoms to form CeO6 octahedra that share corners with six RuO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are four shorter (2.22 Å) and two longer (2.23 Å) Ce–O bond lengths. In the second Ce3+ site, Ce3+ is bonded to six O2- atoms to form CeO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with six equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 4°. There are two shorter (2.22 Å) and four longer (2.23 Å) Ce–O bond lengths. There are five inequivalent Ru+4.33+ sites. In the first Ru+4.33+ site, Ru+4.33+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six BaO12 cuboctahedra, faces with three equivalent BaO12 cuboctahedra, and faces with two RuO6 octahedra. There are one shorter (2.03 Å) and five longer (2.04 Å) Ru–O bond lengths. In the second Ru+4.33+ site, Ru+4.33+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent CeO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are three shorter (1.98 Å) and three longer (2.06 Å) Ru–O bond lengths. In the third Ru+4.33+ site, Ru+4.33+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent CeO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are a spread of Ru–O bond distances ranging from 1.98–2.06 Å. In the fourth Ru+4.33+ site, Ru+4.33+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent CeO6 octahedra, faces with four BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Ru–O bond distances ranging from 1.98–2.06 Å. In the fifth Ru+4.33+ site, Ru+4.33+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six equivalent BaO12 cuboctahedra and faces with two equivalent RuO6 octahedra. All Ru–O bond lengths are 2.04 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ce3+, and one Ru+4.33+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ce3+, and one Ru+4.33+ atom. In the third O2- site, O2- is bonded to four Ba2+ and two Ru+4.33+ atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 6–60°. In the fourth O2- site, O2- is bonded to four Ba2+ and two Ru+4.33+ atoms to form a mixture of distorted edge and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ce3+, and one Ru+4.33+ atom. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.33+ atoms. In the seventh O2- site, O2- is bonded to four Ba2+ and two Ru+4.33+ atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 8–60°. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ce3+, and one Ru+4.33+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ce3+, and one Ru+4.33+ atom. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.33+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ce3+, and one Ru+4.33+ atom. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn3Fe3Ge2 by Materials Project

Mn3Fe3Ge2 crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are two inequivalent Mn sites. In the first Mn site, Mn is bonded to four Mn, four Fe, and four Ge atoms to form distorted MnMn4Fe4Ge4 cuboctahedra that share corners with four equivalent GeMn6Fe6 cuboctahedra, corners with fourteen MnMn4Fe4Ge4 cuboctahedra, edges with four MnMn4Fe4Ge4 cuboctahedra, edges with six GeMn6Fe6 cuboctahedra, edges with eight FeMn4Fe4Ge4 cuboctahedra, faces with four GeMn6Fe6 cuboctahedra, faces with six MnMn4Fe4Ge4 cuboctahedra, and faces with ten FeMn4Fe4Ge4 cuboctahedra. There are two shorter (2.48 Å) and two longer (2.69 Å) Mn–Mn bond lengths. All Mn–Fe bond lengths are 2.52 Å. All Mn–Ge bond lengths are 2.59 Å. In the second Mn site, Mn is bonded to four equivalent Mn, four Fe, and four Ge atoms to form distorted MnMn4Fe4Ge4 cuboctahedra that share corners with four equivalent GeMn6Fe6 cuboctahedra, corners with fourteen MnMn4Fe4Ge4 cuboctahedra, edges with four equivalent MnMn4Fe4Ge4 cuboctahedra, edges with six GeMn6Fe6 cuboctahedra, edges with eight FeMn4Fe4Ge4 cuboctahedra, faces with four GeMn6Fe6 cuboctahedra, faces with six MnMn4Fe4Ge4 cuboctahedra, and faces with ten FeMn4Fe4Ge4 cuboctahedra. All Mn–Fe bond lengths are 2.52 Å. All Mn–Ge bond lengths are 2.59 Å. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded to four Mn, four Fe, and four Ge atoms to form distorted FeMn4Fe4Ge4 cuboctahedra that share corners with four equivalent GeMn6Fe6 cuboctahedra, corners with fourteen FeMn4Fe4Ge4 cuboctahedra, edges with four FeMn4Fe4Ge4 cuboctahedra, edges with six GeMn6Fe6 cuboctahedra, edges with eight MnMn4Fe4Ge4 cuboctahedra, faces with four GeMn6Fe6 cuboctahedra, faces with six FeMn4Fe4Ge4 cuboctahedra, and faces with ten MnMn4Fe4Ge4 cuboctahedra. Both Fe–Mn bond lengths are 2.52 Å. There are two shorter (2.49 Å) and two longer (2.69 Å) Fe–Fe bond lengths. All Fe–Ge bond lengths are 2.59 Å. In the second Fe site, Fe is bonded to four Mn, four Fe, and four Ge atoms to form distorted FeMn4Fe4Ge4 cuboctahedra that share corners with four equivalent GeMn6Fe6 cuboctahedra, corners with fourteen FeMn4Fe4Ge4 cuboctahedra, edges with four FeMn4Fe4Ge4 cuboctahedra, edges with six GeMn6Fe6 cuboctahedra, edges with eight MnMn4Fe4Ge4 cuboctahedra, faces with four GeMn6Fe6 cuboctahedra, faces with six FeMn4Fe4Ge4 cuboctahedra, and faces with ten MnMn4Fe4Ge4 cuboctahedra. There are one shorter (2.49 Å) and one longer (2.69 Å) Fe–Fe bond lengths. All Fe–Ge bond lengths are 2.59 Å. In the third Fe site, Fe is bonded to four equivalent Mn, four Fe, and four Ge atoms to form distorted FeMn4Fe4Ge4 cuboctahedra that share corners with four equivalent GeMn6Fe6 cuboctahedra, corners with fourteen FeMn4Fe4Ge4 cuboctahedra, edges with four FeMn4Fe4Ge4 cuboctahedra, edges with six GeMn6Fe6 cuboctahedra, edges with eight equivalent MnMn4Fe4Ge4 cuboctahedra, faces with four GeMn6Fe6 cuboctahedra, faces with six FeMn4Fe4Ge4 cuboctahedra, and faces with ten MnMn4Fe4Ge4 cuboctahedra. All Fe–Ge bond lengths are 2.59 Å. There are two inequivalent Ge sites. In the first Ge site, Ge is bonded to six Mn and six Fe atoms to form GeMn6Fe6 cuboctahedra that share corners with six equivalent GeMn6Fe6 cuboctahedra, corners with twelve FeMn4Fe4Ge4 cuboctahedra, edges with six FeMn4Fe4Ge4 cuboctahedra, edges with twelve MnMn4Fe4Ge4 cuboctahedra, faces with six MnMn4Fe4Ge4 cuboctahedra, faces with six FeMn4Fe4Ge4 cuboctahedra, and faces with eight GeMn6Fe6 cuboctahedra. In the second Ge site, Ge is bonded to six Mn and six Fe atoms to form GeMn6Fe6 cuboctahedra that share corners with six equivalent GeMn6Fe6 cuboctahedra, corners with twelve MnMn4Fe4Ge4 cuboctahedra, edges with six MnMn4Fe4Ge4 cuboctahedra, edges with twelve FeMn4Fe4Ge4 cuboctahedra, faces with six MnMn4Fe4Ge4 cuboctahedra, faces with six FeMn4Fe4Ge4 cuboctahedra, and faces with eight GeMn6Fe6 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on NaMg6Nb by Materials Project

NaMg6Nb is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Na is bonded to ten Mg and two equivalent Nb atoms to form NaMg10Nb2 cuboctahedra that share corners with four equivalent MgNa2Mg10 cuboctahedra, corners with six equivalent NaMg10Nb2 cuboctahedra, edges with four equivalent NbNa2Mg10 cuboctahedra, edges with ten MgNa2Mg10 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with twelve MgNa2Mg10 cuboctahedra. There are a spread of Na–Mg bond distances ranging from 3.06–3.27 Å. Both Na–Nb bond lengths are 3.23 Å. There are eight inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Na, eight Mg, and two equivalent Nb atoms. There are a spread of Mg–Mg bond distances ranging from 3.00–3.40 Å. Both Mg–Nb bond lengths are 3.04 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Na, eight Mg, and two equivalent Nb atoms. There are a spread of Mg–Mg bond distances ranging from 3.00–3.40 Å. Both Mg–Nb bond lengths are 3.04 Å. In the third Mg site, Mg is bonded to two equivalent Na and ten Mg atoms to form MgNa2Mg10 cuboctahedra that share corners with four equivalent NaMg10Nb2 cuboctahedra, corners with six equivalent MgNa2Mg10 cuboctahedra, edges with two equivalent NaMg10Nb2 cuboctahedra, edges with twelve MgNa2Mg8Nb2 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with six equivalent NbNa2Mg10 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. There are four shorter (3.15 Å) and three longer (3.16 Å) Mg–Mg bond lengths. In the fourth Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Nb atoms to form distorted MgNa2Mg8Nb2 cuboctahedra that share corners with four equivalent NbNa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg8Nb2 cuboctahedra, edges with two equivalent NbNa2Mg10 cuboctahedra, edges with four equivalent NaMg10Nb2 cuboctahedra, edges with eight MgNa2Mg10 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.13–3.21 Å. There are one shorter (3.04 Å) and one longer (3.29 Å) Mg–Nb bond lengths. In the fifth Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Nb atoms to form distorted MgNa2Mg8Nb2 cuboctahedra that share corners with four equivalent NbNa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg8Nb2 cuboctahedra, edges with two equivalent NbNa2Mg10 cuboctahedra, edges with four equivalent NaMg10Nb2 cuboctahedra, edges with eight MgNa2Mg10 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. Both Mg–Na bond lengths are 3.15 Å. There are a spread of Mg–Mg bond distances ranging from 3.13–3.21 Å. There are one shorter (3.04 Å) and one longer (3.29 Å) Mg–Nb bond lengths. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with four equivalent NbNa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg8Nb2 cuboctahedra, edges with two equivalent NbNa2Mg10 cuboctahedra, edges with eight MgNa2Mg10 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, faces with six equivalent NaMg10Nb2 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. There are two shorter (3.17 Å) and one longer (3.20 Å) Mg–Mg bond lengths. Both Mg–Nb bond lengths are 3.20 Å. In the seventh Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Na, eight Mg, and two equivalent Nb atoms. Both Mg–Mg bond lengths are 3.18 Å. Both Mg–Nb bond lengths are 3.04 Å. In the eighth Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Nb atoms to form distorted MgNa2Mg8Nb2 cuboctahedra that share corners with four equivalent NbNa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg8Nb2 cuboctahedra, edges with two equivalent NbNa2Mg10 cuboctahedra, edges with four equivalent NaMg10Nb2 cuboctahedra, edges with eight MgNa2Mg10 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. Both Mg–Mg bond lengths are 3.18 Å. There are one shorter (3.04 Å) and one longer (3.29 Å) Mg–Nb bond lengths. Nb is bonded to two equivalent Na and ten Mg atoms to form NbNa2Mg10 cuboctahedra that share corners with six equivalent NbNa2Mg10 cuboctahedra, corners with twelve MgNa2Mg8Nb2 cuboctahedra, edges with four equivalent NaMg10Nb2 cuboctahedra, edges with six MgNa2Mg8Nb2 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with twelve MgNa2Mg10 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ba20Ru11PtO48 by Materials Project

Ba20Ru11PtO48 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twenty inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.66–3.13 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–3.14 Å. In the third Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–3.15 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–3.13 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.61–3.01 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.61–3.01 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.60–3.01 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.62–3.01 Å. In the ninth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.28 Å. In the tenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.67–3.32 Å. In the eleventh Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.66–3.27 Å. In the twelfth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.67–3.29 Å. In the thirteenth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.59–3.03 Å. In the fourteenth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.55–3.04 Å. In the fifteenth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.58–3.02 Å. In the sixteenth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.58–3.04 Å. In the seventeenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with three RuO6 octahedra, faces with two equivalent BaO12 cuboctahedra, a faceface with one PtO6 octahedra, and faces with five RuO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Ba–O bond distances ranging from 2.76–3.24 Å. In the eighteenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with three RuO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six RuO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Ba–O bond distances ranging from 2.74–3.19 Å. In the nineteenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with three RuO6 octahedra, faces with two equivalent BaO12 cuboctahedra, faces with two equivalent PtO6 octahedra, and faces with four RuO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ba–O bond distances ranging from 2.76–3.18 Å. In the twentieth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with three RuO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six RuO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Ba–O bond distances ranging from 2.74–3.19 Å. There are eleven inequivalent Ru+4.91+ sites. In the first Ru+4.91+ site, Ru+4.91+ is bonded to six O2- atoms to form RuO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, and a faceface with one PtO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.90–2.16 Å. In the second Ru+4.91+ site, Ru+4.91+ is bonded to six O2- atoms to form RuO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.92–2.11 Å. In the third Ru+4.91+ site, Ru+4.91+ is bonded to six O2- atoms to form RuO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.91–2.12 Å. In the fourth Ru+4.91+ site, Ru+4.91+ is bonded to six O2- atoms to form RuO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.91–2.12 Å. In the fifth Ru+4.91+ site, Ru+4.91+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, and a faceface with one PtO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.89–2.15 Å. In the sixth Ru+4.91+ site, Ru+4.91+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.90–2.11 Å. In the seventh Ru+4.91+ site, Ru+4.91+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.90–2.12 Å. In the eighth Ru+4.91+ site, Ru+4.91+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.90–2.12 Å. In the ninth Ru+4.91+ site, Ru+4.91+ is bonded to six O2- atoms to form RuO6 octahedra that share faces with three BaO12 cuboctahedra and faces with two RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 2.01–2.05 Å. In the tenth Ru+4.91+ site, Ru+4.91+ is bonded to six O2- atoms to form RuO6 octahedra that share faces with three BaO12 cuboctahedra and faces with two RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 2.02–2.04 Å. In the eleventh Ru+4.91+ site, Ru+4.91+ is bonded to six O2- atoms to form RuO6 octahedra that share faces with three BaO12 cuboctahedra and faces with two RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 2.01–2.05 Å. Pt2+ is bonded to six O2- atoms to form PtO6 octahedra that share faces with three BaO12 cuboctahedra and faces with two RuO6 octahedra. There are a spread of Pt–O bond distances ranging from 2.03–2.07 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ru+4.91+, and one Pt2+ atom. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.91+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.91+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.91+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ru+4.91+, and one Pt2+ atom. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.91+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.91+ atoms. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.91+ atoms. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ru+4.91+, and one Pt2+ atom. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.91+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.91+ atoms. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.91+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+ and one Ru+4.91+ atom. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+ and one Ru+4.91+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+ and one Ru+4.91+ atom. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+ and one Ru+4.91+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Ru+4.91+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Ru+4.91+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Ru+4.91+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Ru+4.91+ atom. In the twenty-first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ru+4.91+, and one Pt2+ atom. In the twenty-second O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.91+ atoms. In the twenty-third O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.91+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.91+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to five Ba2+ and one Ru+4.91+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to five Ba2+ and one Ru+4.91+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to five Ba2+ and one Ru+4.91+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to five Ba2+ and one Ru+4.91+ atom. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Ru+4.91+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Ru+4.91+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Ru+4.91+ atom. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Ru+4.91+ atom.

36 MATERIALS SCIENCE↗