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Materials Data on YEr2Al9 by Materials Project

Er2YAl9 crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are four inequivalent Er sites. In the first Er site, Er is bonded to twelve Al atoms to form ErAl12 cuboctahedra that share corners with six equivalent ErAl12 cuboctahedra, corners with six YAl12 cuboctahedra, edges with twelve AlYEr3Al8 cuboctahedra, faces with six ErAl12 cuboctahedra, and faces with six AlYEr3Al8 cuboctahedra. There are six shorter (2.96 Å) and six longer (3.06 Å) Er–Al bond lengths. In the second Er site, Er is bonded to twelve Al atoms to form ErAl12 cuboctahedra that share corners with six equivalent ErAl12 cuboctahedra, corners with twelve AlYEr3Al8 cuboctahedra, edges with six equivalent AlY2Er2Al8 cuboctahedra, faces with two ErAl12 cuboctahedra, faces with six YAl12 cuboctahedra, and faces with six equivalent AlY2Er2Al8 cuboctahedra. There are a spread of Er–Al bond distances ranging from 3.05–3.08 Å. In the third Er site, Er is bonded to twelve Al atoms to form ErAl12 cuboctahedra that share corners with six equivalent ErAl12 cuboctahedra, corners with twelve AlYEr3Al8 cuboctahedra, edges with six equivalent AlYEr3Al8 cuboctahedra, faces with three equivalent YAl12 cuboctahedra, faces with five ErAl12 cuboctahedra, and faces with six equivalent AlYEr3Al8 cuboctahedra. There are a spread of Er–Al bond distances ranging from 3.05–3.08 Å. In the fourth Er site, Er is bonded to twelve Al atoms to form ErAl12 cuboctahedra that share corners with six equivalent ErAl12 cuboctahedra, corners with twelve AlY2Er2Al8 cuboctahedra, edges with six equivalent AlYEr3Al8 cuboctahedra, faces with three equivalent YAl12 cuboctahedra, faces with five ErAl12 cuboctahedra, and faces with six equivalent AlYEr3Al8 cuboctahedra. There are a spread of Er–Al bond distances ranging from 3.05–3.08 Å. There are three inequivalent Y sites. In the first Y site, Y is bonded to twelve Al atoms to form YAl12 cuboctahedra that share corners with three equivalent ErAl12 cuboctahedra, corners with nine YAl12 cuboctahedra, edges with twelve AlYEr3Al8 cuboctahedra, faces with six ErAl12 cuboctahedra, and faces with six AlYEr3Al8 cuboctahedra. There are a spread of Y–Al bond distances ranging from 2.97–3.06 Å. In the second Y site, Y is bonded to twelve Al atoms to form YAl12 cuboctahedra that share corners with six equivalent ErAl12 cuboctahedra, corners with six equivalent YAl12 cuboctahedra, edges with twelve equivalent AlYEr3Al8 cuboctahedra, faces with six equivalent ErAl12 cuboctahedra, and faces with six equivalent AlYEr3Al8 cuboctahedra. There are six shorter (2.98 Å) and six longer (3.06 Å) Y–Al bond lengths. In the third Y site, Y is bonded to twelve Al atoms to form YAl12 cuboctahedra that share corners with twelve YAl12 cuboctahedra, edges with twelve equivalent AlY2Er2Al8 cuboctahedra, faces with six equivalent ErAl12 cuboctahedra, and faces with six equivalent AlY2Er2Al8 cuboctahedra. There are six shorter (2.97 Å) and six longer (3.06 Å) Y–Al bond lengths. There are seven inequivalent Al sites. In the first Al site, Al is bonded to three Er, one Y, and eight Al atoms to form distorted AlYEr3Al8 cuboctahedra that share corners with four ErAl12 cuboctahedra, corners with fourteen AlYEr3Al8 cuboctahedra, edges with two equivalent YAl12 cuboctahedra, edges with four ErAl12 cuboctahedra, edges with four equivalent AlYEr3Al8 cuboctahedra, a faceface with one YAl12 cuboctahedra, faces with three ErAl12 cuboctahedra, and faces with six AlYEr3Al8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.92–3.06 Å. In the second Al site, Al is bonded in a 10-coordinate geometry to two Er, two equivalent Y, and six Al atoms. There are two shorter (2.75 Å) and two longer (2.92 Å) Al–Al bond lengths. In the third Al site, Al is bonded in a 10-coordinate geometry to two equivalent Er, two equivalent Y, and six Al atoms. There are two shorter (2.75 Å) and four longer (2.93 Å) Al–Al bond lengths. In the fourth Al site, Al is bonded in a 10-coordinate geometry to two equivalent Er, two equivalent Y, and six Al atoms. There are two shorter (2.75 Å) and four longer (2.92 Å) Al–Al bond lengths. In the fifth Al site, Al is bonded in a 10-coordinate geometry to four Er and six Al atoms. There are two shorter (2.75 Å) and two longer (2.92 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Er, two Y, and eight Al atoms to form distorted AlY2Er2Al8 cuboctahedra that share corners with four ErAl12 cuboctahedra, corners with fourteen AlYEr3Al8 cuboctahedra, edges with two equivalent ErAl12 cuboctahedra, edges with four YAl12 cuboctahedra, edges with four equivalent AlY2Er2Al8 cuboctahedra, faces with two equivalent ErAl12 cuboctahedra, faces with two YAl12 cuboctahedra, and faces with six AlYEr3Al8 cuboctahedra. All Al–Al bond lengths are 3.05 Å. In the seventh Al site, Al is bonded to three Er, one Y, and eight Al atoms to form distorted AlYEr3Al8 cuboctahedra that share corners with four ErAl12 cuboctahedra, corners with fourteen AlYEr3Al8 cuboctahedra, edges with two equivalent YAl12 cuboctahedra, edges with four ErAl12 cuboctahedra, edges with four equivalent AlYEr3Al8 cuboctahedra, a faceface with one YAl12 cuboctahedra, faces with three ErAl12 cuboctahedra, and faces with six AlYEr3Al8 cuboctahedra. There are two shorter (3.04 Å) and two longer (3.06 Å) Al–Al bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on MgTi2 by Materials Project

MgTi2 is beta-derived structured and crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are four inequivalent Mg sites. In the first Mg site, Mg is bonded to four Mg and eight Ti atoms to form distorted MgMg4Ti8 cuboctahedra that share corners with six MgMg4Ti8 cuboctahedra, corners with twelve TiMg4Ti8 cuboctahedra, edges with seven MgMg4Ti8 cuboctahedra, edges with eleven TiMg4Ti8 cuboctahedra, faces with six MgMg4Ti8 cuboctahedra, and faces with fourteen TiMg4Ti8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 2.97–3.14 Å. There are a spread of Mg–Ti bond distances ranging from 2.92–3.07 Å. In the second Mg site, Mg is bonded to four Mg and eight Ti atoms to form distorted MgMg4Ti8 cuboctahedra that share corners with four MgMg4Ti8 cuboctahedra, corners with fourteen TiMg4Ti8 cuboctahedra, edges with six MgMg4Ti8 cuboctahedra, edges with twelve TiMg4Ti8 cuboctahedra, faces with six MgMg4Ti8 cuboctahedra, and faces with fourteen TiMg4Ti8 cuboctahedra. There are two shorter (2.97 Å) and one longer (3.14 Å) Mg–Mg bond lengths. There are a spread of Mg–Ti bond distances ranging from 2.93–3.06 Å. In the third Mg site, Mg is bonded to four Mg and eight Ti atoms to form distorted MgMg4Ti8 cuboctahedra that share corners with seven MgMg4Ti8 cuboctahedra, corners with eleven TiMg4Ti8 cuboctahedra, edges with five MgMg4Ti8 cuboctahedra, edges with thirteen TiMg4Ti8 cuboctahedra, faces with six MgMg4Ti8 cuboctahedra, and faces with fourteen TiMg4Ti8 cuboctahedra. Both Mg–Mg bond lengths are 2.96 Å. There are a spread of Mg–Ti bond distances ranging from 2.90–3.00 Å. In the fourth Mg site, Mg is bonded to six Mg and six Ti atoms to form MgMg6Ti6 cuboctahedra that share corners with three MgMg4Ti8 cuboctahedra, corners with fifteen TiMg4Ti8 cuboctahedra, edges with two MgMg4Ti8 cuboctahedra, edges with sixteen TiMg4Ti8 cuboctahedra, faces with eight MgMg4Ti8 cuboctahedra, and faces with twelve TiMg4Ti8 cuboctahedra. There are a spread of Mg–Ti bond distances ranging from 3.06–3.14 Å. There are eight inequivalent Ti sites. In the first Ti site, Ti is bonded to four Mg and eight Ti atoms to form distorted TiMg4Ti8 cuboctahedra that share corners with eight MgMg4Ti8 cuboctahedra, corners with ten TiMg4Ti8 cuboctahedra, edges with seven MgMg4Ti8 cuboctahedra, edges with eleven TiMg4Ti8 cuboctahedra, faces with six MgMg4Ti8 cuboctahedra, and faces with fourteen TiMg4Ti8 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.84–3.12 Å. In the second Ti site, Ti is bonded to four Mg and eight Ti atoms to form distorted TiMg4Ti8 cuboctahedra that share corners with six MgMg4Ti8 cuboctahedra, corners with twelve TiMg4Ti8 cuboctahedra, edges with eight TiMg4Ti8 cuboctahedra, edges with ten MgMg4Ti8 cuboctahedra, faces with six MgMg4Ti8 cuboctahedra, and faces with fourteen TiMg4Ti8 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.81–3.16 Å. In the third Ti site, Ti is bonded to two Mg and ten Ti atoms to form distorted TiMg2Ti10 cuboctahedra that share corners with seven MgMg4Ti8 cuboctahedra, corners with eleven TiMg4Ti8 cuboctahedra, edges with nine MgMg4Ti8 cuboctahedra, edges with nine TiMg4Ti8 cuboctahedra, faces with four MgMg4Ti8 cuboctahedra, and faces with sixteen TiMg4Ti8 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.87–3.08 Å. In the fourth Ti site, Ti is bonded to three Mg and nine Ti atoms to form distorted TiMg3Ti9 cuboctahedra that share corners with seven MgMg4Ti8 cuboctahedra, corners with eleven TiMg4Ti8 cuboctahedra, edges with five MgMg4Ti8 cuboctahedra, edges with thirteen TiMg4Ti8 cuboctahedra, faces with seven MgMg4Ti8 cuboctahedra, and faces with thirteen TiMg4Ti8 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.92–3.04 Å. In the fifth Ti site, Ti is bonded to three Mg and nine Ti atoms to form distorted TiMg3Ti9 cuboctahedra that share corners with three MgMg4Ti8 cuboctahedra, corners with fifteen TiMg4Ti8 cuboctahedra, edges with six MgMg4Ti8 cuboctahedra, edges with twelve TiMg4Ti8 cuboctahedra, faces with seven MgMg4Ti8 cuboctahedra, and faces with thirteen TiMg4Ti8 cuboctahedra. There are one shorter (3.06 Å) and one longer (3.12 Å) Ti–Ti bond lengths. In the sixth Ti site, Ti is bonded to four Mg and eight Ti atoms to form distorted TiMg4Ti8 cuboctahedra that share corners with seven MgMg4Ti8 cuboctahedra, corners with eleven TiMg4Ti8 cuboctahedra, edges with eight MgMg4Ti8 cuboctahedra, edges with ten TiMg4Ti8 cuboctahedra, faces with six MgMg4Ti8 cuboctahedra, and faces with fourteen TiMg4Ti8 cuboctahedra. There are two shorter (2.90 Å) and one longer (3.08 Å) Ti–Ti bond lengths. In the seventh Ti site, Ti is bonded to five Mg and seven Ti atoms to form distorted TiMg5Ti7 cuboctahedra that share corners with seven MgMg4Ti8 cuboctahedra, corners with eleven TiMg4Ti8 cuboctahedra, edges with four MgMg4Ti8 cuboctahedra, edges with fourteen TiMg4Ti8 cuboctahedra, faces with nine MgMg4Ti8 cuboctahedra, and faces with eleven TiMg4Ti8 cuboctahedra. Both Ti–Ti bond lengths are 2.95 Å. In the eighth Ti site, Ti is bonded to five Mg and seven Ti atoms to form distorted TiMg5Ti7 cuboctahedra that share corners with seven MgMg4Ti8 cuboctahedra, corners with eleven TiMg4Ti8 cuboctahedra, edges with three equivalent MgMg4Ti8 cuboctahedra, edges with fifteen TiMg4Ti8 cuboctahedra, faces with nine MgMg4Ti8 cuboctahedra, and faces with eleven TiMg4Ti8 cuboctahedra. Both Ti–Ti bond lengths are 2.91 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ti5Al11 by Materials Project

Ti5Al11 is beta Cu3Ti-like structured and crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are five inequivalent Ti sites. In the first Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with twelve TiAl12 cuboctahedra, edges with four equivalent TiTi4Al8 cuboctahedra, edges with twenty AlTi6Al6 cuboctahedra, faces with six TiAl12 cuboctahedra, and faces with twelve AlTi4Al8 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.77–2.86 Å. In the second Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi6Al6 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.77–2.90 Å. In the third Ti site, Ti is bonded to four equivalent Ti and eight Al atoms to form TiTi4Al8 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi6Al6 cuboctahedra, faces with nine TiAl12 cuboctahedra, and faces with nine AlTi6Al6 cuboctahedra. All Ti–Ti bond lengths are 2.79 Å. There are four shorter (2.74 Å) and four longer (2.92 Å) Ti–Al bond lengths. In the fourth Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.76–2.93 Å. In the fifth Ti site, Ti is bonded to four equivalent Ti and eight Al atoms to form TiTi4Al8 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi6Al6 cuboctahedra, faces with nine TiAl12 cuboctahedra, and faces with nine AlTi6Al6 cuboctahedra. There are four shorter (2.73 Å) and four longer (2.94 Å) Ti–Al bond lengths. There are seven inequivalent Al sites. In the first Al site, Al is bonded to six Ti and six Al atoms to form AlTi6Al6 cuboctahedra that share corners with twelve AlTi6Al6 cuboctahedra, edges with twelve TiAl12 cuboctahedra, edges with twelve AlTi6Al6 cuboctahedra, faces with six TiAl12 cuboctahedra, and faces with twelve AlTi6Al6 cuboctahedra. There are four shorter (2.77 Å) and two longer (2.85 Å) Al–Al bond lengths. In the second Al site, Al is bonded to four Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with twelve AlTi6Al6 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi6Al6 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with fourteen AlTi4Al8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.77–2.86 Å. In the third Al site, Al is bonded to six Ti and six Al atoms to form AlTi6Al6 cuboctahedra that share corners with twelve AlTi6Al6 cuboctahedra, edges with twelve TiAl12 cuboctahedra, edges with twelve AlTi6Al6 cuboctahedra, faces with six TiAl12 cuboctahedra, and faces with twelve AlTi6Al6 cuboctahedra. There are four shorter (2.77 Å) and two longer (2.84 Å) Al–Al bond lengths. In the fourth Al site, Al is bonded to four Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with twelve AlTi4Al8 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi6Al6 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with fourteen AlTi6Al6 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.77–2.85 Å. In the fifth Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent TiAl12 cuboctahedra, corners with eight AlTi4Al8 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. In the sixth Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent TiTi4Al8 cuboctahedra, corners with eight AlTi4Al8 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi6Al6 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. In the seventh Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiTi4Al8 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with six TiAl12 cuboctahedra, and faces with twelve AlTi6Al6 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mn6GaGe by Materials Project

Mn6GaGe is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are six inequivalent Mn sites. In the first Mn site, Mn is bonded to eight Mn, two equivalent Ga, and two equivalent Ge atoms to form distorted MnMn8Ga2Ge2 cuboctahedra that share corners with four equivalent GeMn12 cuboctahedra, corners with fourteen MnMn8Ga2Ge2 cuboctahedra, edges with two equivalent GeMn12 cuboctahedra, edges with four equivalent GaMn12 cuboctahedra, edges with twelve MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, and faces with sixteen MnMn8Ga2Ge2 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.50–2.67 Å. Both Mn–Ga bond lengths are 2.59 Å. There are one shorter (2.58 Å) and one longer (2.59 Å) Mn–Ge bond lengths. In the second Mn site, Mn is bonded to eight Mn, two equivalent Ga, and two equivalent Ge atoms to form distorted MnMn8Ga2Ge2 cuboctahedra that share corners with four equivalent GeMn12 cuboctahedra, corners with fourteen MnMn8Ga2Ge2 cuboctahedra, edges with two equivalent GeMn12 cuboctahedra, edges with four equivalent GaMn12 cuboctahedra, edges with twelve MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, and faces with sixteen MnMn8Ga2Ge2 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.50–2.67 Å. Both Mn–Ga bond lengths are 2.60 Å. Both Mn–Ge bond lengths are 2.59 Å. In the third Mn site, Mn is bonded to eight Mn, two equivalent Ga, and two equivalent Ge atoms to form distorted MnMn8Ga2Ge2 cuboctahedra that share corners with four equivalent GeMn12 cuboctahedra, corners with fourteen MnMn8Ga2Ge2 cuboctahedra, edges with two equivalent GeMn12 cuboctahedra, edges with four equivalent GaMn12 cuboctahedra, edges with twelve MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, and faces with sixteen MnMn8Ga2Ge2 cuboctahedra. There are two shorter (2.53 Å) and two longer (2.54 Å) Mn–Mn bond lengths. Both Mn–Ga bond lengths are 2.59 Å. There are one shorter (2.58 Å) and one longer (2.59 Å) Mn–Ge bond lengths. In the fourth Mn site, Mn is bonded to eight Mn, two equivalent Ga, and two equivalent Ge atoms to form distorted MnMn8Ga2Ge2 cuboctahedra that share corners with four equivalent GaMn12 cuboctahedra, corners with fourteen MnMn8Ga2Ge2 cuboctahedra, edges with two equivalent GaMn12 cuboctahedra, edges with four equivalent GeMn12 cuboctahedra, edges with twelve MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, and faces with sixteen MnMn8Ga2Ge2 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.47–2.70 Å. There are one shorter (2.58 Å) and one longer (2.59 Å) Mn–Ga bond lengths. Both Mn–Ge bond lengths are 2.60 Å. In the fifth Mn site, Mn is bonded to eight Mn, two equivalent Ga, and two equivalent Ge atoms to form distorted MnMn8Ga2Ge2 cuboctahedra that share corners with four equivalent GaMn12 cuboctahedra, corners with fourteen MnMn8Ga2Ge2 cuboctahedra, edges with two equivalent GaMn12 cuboctahedra, edges with four equivalent GeMn12 cuboctahedra, edges with twelve MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, and faces with sixteen MnMn8Ga2Ge2 cuboctahedra. There are one shorter (2.47 Å) and one longer (2.70 Å) Mn–Mn bond lengths. Both Mn–Ga bond lengths are 2.59 Å. Both Mn–Ge bond lengths are 2.61 Å. In the sixth Mn site, Mn is bonded to eight Mn, two equivalent Ga, and two equivalent Ge atoms to form distorted MnMn8Ga2Ge2 cuboctahedra that share corners with four equivalent GaMn12 cuboctahedra, corners with fourteen MnMn8Ga2Ge2 cuboctahedra, edges with two equivalent GaMn12 cuboctahedra, edges with four equivalent GeMn12 cuboctahedra, edges with twelve MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, and faces with sixteen MnMn8Ga2Ge2 cuboctahedra. There are one shorter (2.58 Å) and one longer (2.59 Å) Mn–Ga bond lengths. Both Mn–Ge bond lengths are 2.60 Å. Ga is bonded to twelve Mn atoms to form GaMn12 cuboctahedra that share corners with six equivalent GaMn12 cuboctahedra, corners with twelve MnMn8Ga2Ge2 cuboctahedra, edges with eighteen MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with six equivalent GeMn12 cuboctahedra, and faces with twelve MnMn8Ga2Ge2 cuboctahedra. Ge is bonded to twelve Mn atoms to form GeMn12 cuboctahedra that share corners with six equivalent GeMn12 cuboctahedra, corners with twelve MnMn8Ga2Ge2 cuboctahedra, edges with eighteen MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, faces with six equivalent GaMn12 cuboctahedra, and faces with twelve MnMn8Ga2Ge2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on LiMg6Co by Materials Project

LiMg6Co crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Li is bonded to ten Mg and two equivalent Co atoms to form LiMg10Co2 cuboctahedra that share corners with four equivalent MgLi2Mg10 cuboctahedra, corners with six equivalent LiMg10Co2 cuboctahedra, edges with four equivalent CoLi2Mg10 cuboctahedra, edges with ten MgLi2Mg8Co2 cuboctahedra, faces with two equivalent LiMg10Co2 cuboctahedra, faces with two equivalent CoLi2Mg10 cuboctahedra, and faces with twelve MgLi2Mg8Co2 cuboctahedra. There are a spread of Li–Mg bond distances ranging from 2.83–3.22 Å. Both Li–Co bond lengths are 3.00 Å. There are nine inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Li, eight Mg, and two equivalent Co atoms to form distorted MgLi2Mg8Co2 cuboctahedra that share corners with four equivalent CoLi2Mg10 cuboctahedra, corners with fourteen MgLi2Mg8Co2 cuboctahedra, edges with two equivalent CoLi2Mg10 cuboctahedra, edges with four equivalent LiMg10Co2 cuboctahedra, edges with eight MgLi2Mg8Co2 cuboctahedra, faces with two equivalent LiMg10Co2 cuboctahedra, faces with two equivalent CoLi2Mg10 cuboctahedra, and faces with eight MgLi2Mg8Co2 cuboctahedra. Both Mg–Li bond lengths are 3.00 Å. There are a spread of Mg–Mg bond distances ranging from 2.97–3.11 Å. Both Mg–Co bond lengths are 3.03 Å. In the second Mg site, Mg is bonded to two equivalent Li, eight Mg, and two equivalent Co atoms to form distorted MgLi2Mg8Co2 cuboctahedra that share corners with four equivalent CoLi2Mg10 cuboctahedra, corners with fourteen MgLi2Mg8Co2 cuboctahedra, edges with two equivalent CoLi2Mg10 cuboctahedra, edges with four equivalent LiMg10Co2 cuboctahedra, edges with eight MgLi2Mg8Co2 cuboctahedra, faces with two equivalent LiMg10Co2 cuboctahedra, faces with two equivalent CoLi2Mg10 cuboctahedra, and faces with eight MgLi2Mg8Co2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 2.97–3.11 Å. Both Mg–Co bond lengths are 3.03 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Co atoms to form distorted MgMg10Co2 cuboctahedra that share corners with four equivalent CoLi2Mg10 cuboctahedra, corners with fourteen MgLi2Mg8Co2 cuboctahedra, edges with two equivalent CoLi2Mg10 cuboctahedra, edges with eight MgLi2Mg8Co2 cuboctahedra, faces with two equivalent CoLi2Mg10 cuboctahedra, faces with six equivalent LiMg10Co2 cuboctahedra, and faces with eight MgLi2Mg8Co2 cuboctahedra. There are three shorter (3.02 Å) and five longer (3.03 Å) Mg–Mg bond lengths. Both Mg–Co bond lengths are 3.04 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent Co atoms. There are a spread of Mg–Mg bond distances ranging from 2.83–3.25 Å. Both Mg–Co bond lengths are 2.91 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent Co atoms. There are a spread of Mg–Mg bond distances ranging from 2.83–3.25 Å. Both Mg–Co bond lengths are 2.91 Å. In the sixth Mg site, Mg is bonded to two equivalent Li and ten Mg atoms to form distorted MgLi2Mg10 cuboctahedra that share corners with four equivalent LiMg10Co2 cuboctahedra, corners with six equivalent MgLi2Mg10 cuboctahedra, edges with two equivalent LiMg10Co2 cuboctahedra, edges with twelve MgLi2Mg8Co2 cuboctahedra, faces with two equivalent LiMg10Co2 cuboctahedra, faces with six equivalent CoLi2Mg10 cuboctahedra, and faces with eight MgLi2Mg8Co2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.00–3.06 Å. In the seventh Mg site, Mg is bonded to two equivalent Li, eight Mg, and two equivalent Co atoms to form distorted MgLi2Mg8Co2 cuboctahedra that share corners with four equivalent CoLi2Mg10 cuboctahedra, corners with fourteen MgLi2Mg8Co2 cuboctahedra, edges with two equivalent CoLi2Mg10 cuboctahedra, edges with four equivalent LiMg10Co2 cuboctahedra, edges with eight MgMg10Co2 cuboctahedra, faces with two equivalent LiMg10Co2 cuboctahedra, faces with two equivalent CoLi2Mg10 cuboctahedra, and faces with eight MgLi2Mg8Co2 cuboctahedra. Both Mg–Mg bond lengths are 3.09 Å. Both Mg–Co bond lengths are 3.03 Å. In the eighth Mg site, Mg is bonded to two equivalent Li, eight Mg, and two equivalent Co atoms to form distorted MgLi2Mg8Co2 cuboctahedra that share corners with four equivalent CoLi2Mg10 cuboctahedra, corners with fourteen MgLi2Mg8Co2 cuboctahedra, edges with two equivalent CoLi2Mg10 cuboctahedra, edges with four equivalent LiMg10Co2 cuboctahedra, edges with eight MgMg10Co2 cuboctahedra, faces with two equivalent LiMg10Co2 cuboctahedra, faces with two equivalent CoLi2Mg10 cuboctahedra, and faces with eight MgLi2Mg8Co2 cuboctahedra. Both Mg–Li bond lengths are 3.00 Å. There are two shorter (3.01 Å) and two longer (3.09 Å) Mg–Mg bond lengths. Both Mg–Co bond lengths are 3.03 Å. In the ninth Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent Co atoms. Both Mg–Co bond lengths are 2.91 Å. Co is bonded to two equivalent Li and ten Mg atoms to form CoLi2Mg10 cuboctahedra that share corners with six equivalent CoLi2Mg10 cuboctahedra, corners with twelve MgLi2Mg8Co2 cuboctahedra, edges with four equivalent LiMg10Co2 cuboctahedra, edges with six MgLi2Mg8Co2 cuboctahedra, faces with two equivalent LiMg10Co2 cuboctahedra, faces with two equivalent CoLi2Mg10 cuboctahedra, and faces with twelve MgLi2Mg8Co2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on SrLa4TiAl4O15 by Materials Project

SrLa4TiAl4O15 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pmma space group. The structure is three-dimensional. Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with six equivalent SrO12 cuboctahedra, corners with six LaO12 cuboctahedra, faces with two equivalent LaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with two equivalent AlO6 octahedra, and faces with six equivalent TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.90 Å. There are five inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with five equivalent SrO12 cuboctahedra, corners with seven LaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six AlO6 octahedra. There are a spread of La–O bond distances ranging from 2.65–2.72 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share a cornercorner with one SrO12 cuboctahedra, corners with eleven LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, and faces with eight AlO6 octahedra. There are a spread of La–O bond distances ranging from 2.62–2.72 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 AlO6 octahedra. There are two shorter (2.69 Å) and ten longer (2.71 Å) La–O bond lengths. In the fourth 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 AlO6 octahedra. There are one shorter (2.69 Å) and eleven longer (2.71 Å) La–O bond lengths. In the fifth 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 AlO6 octahedra. There are one shorter (2.69 Å) and eleven longer (2.71 Å) La–O bond lengths. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent TiO6 octahedra, faces with two equivalent LaO12 cuboctahedra, and faces with six equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–O bond distances ranging from 1.92–1.96 Å. There are four inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four AlO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Al–O bond distances ranging from 1.90–1.92 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO6 octahedra and faces with eight LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is four shorter (1.90 Å) and two longer (1.92 Å) Al–O bond length. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO6 octahedra and faces with eight LaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is four shorter (1.91 Å) and two longer (1.92 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO6 octahedra and faces with eight LaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is four shorter (1.91 Å) and two longer (1.92 Å) Al–O bond length. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three equivalent Sr2+, one La3+, and two equivalent Ti4+ atoms. The O–La bond length is 2.72 Å. In the second O2- site, O2- is bonded in a distorted linear geometry to three equivalent Sr2+, one La3+, and two equivalent Ti4+ atoms. Both O–Ti bond lengths are 1.92 Å. In the third O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three La3+, and two equivalent Al3+ atoms. The O–Sr bond length is 2.77 Å. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Al3+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four equivalent Sr2+ and two equivalent Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent La3+, one Ti4+, and one Al3+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Al3+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Al3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Al3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three La3+, and two equivalent Al3+ atoms. There are one shorter (2.62 Å) and two longer (2.71 Å) O–La bond lengths. Both O–Al bond lengths are 1.92 Å.

36 MATERIALS SCIENCE↗

Materials Data on Sr5La5Mn9CuO30 by Materials Project

Sr5La5Mn9CuO30 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with three equivalent LaO12 cuboctahedra, corners with nine SrO12 cuboctahedra, faces with three equivalent SrO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.61–2.98 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with nine SrO12 cuboctahedra, a faceface with one CuO6 octahedra, and faces with seven MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.60–3.02 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with three equivalent LaO12 cuboctahedra, corners with six equivalent SrO12 cuboctahedra, faces with three equivalent SrO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.58–3.08 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with nine SrO12 cuboctahedra, faces with three equivalent SrO12 cuboctahedra, faces with three equivalent LaO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.61–3.02 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with nine SrO12 cuboctahedra, faces with three equivalent SrO12 cuboctahedra, faces with three equivalent LaO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.61–3.01 Å. There are five inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form distorted LaO12 cuboctahedra that share corners with six SrO12 cuboctahedra, corners with six equivalent LaO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.53–3.02 Å. In the second La3+ site, La3+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of La–O bond distances ranging from 2.50–3.07 Å. In the third La3+ site, La3+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of La–O bond distances ranging from 2.50–3.04 Å. In the fourth La3+ site, La3+ is bonded in a 12-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.47–2.79 Å. In the fifth La3+ site, La3+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of La–O bond distances ranging from 2.49–3.06 Å. There are nine inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, a faceface with one LaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–18°. There are a spread of Mn–O bond distances ranging from 1.94–2.01 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with three equivalent LaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of Mn–O bond distances ranging from 1.94–1.98 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Mn–O bond distances ranging from 1.94–2.00 Å. In the fourth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CuO6 octahedra, and faces with three equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–22°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the fifth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CuO6 octahedra, and a faceface with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–24°. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the sixth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with three equivalent LaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of Mn–O bond distances ranging from 1.94–1.98 Å. In the seventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, a faceface with one LaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–17°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. In the eighth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–20°. There are a spread of Mn–O bond distances ranging from 1.94–1.97 Å. In the ninth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–22°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six MnO6 octahedra and a faceface with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–24°. There are a spread of Cu–O bond distances ranging from 2.01–2.06 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one La3+, and two Mn+3.67+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one La3+, and two Mn+3.67+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two equivalent La3+, and two Mn+3.67+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, three La3+, one Mn+3.67+, and one Cu2+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three La3+, and two Mn+3.67+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two equivalent La3+, and two Mn+3.67+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, one La3+, and two Mn+3.67+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Sr2+, one La3+, and two Mn+3.67+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to four La3+, one Mn+3.67+, and one Cu2+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, one La3+, and two Mn+3.67+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, one La3+, and two Mn+3.67+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two equivalent La3+, and two Mn+3.67+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, one La3+, and two Mn+3.67+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two La3+, one Mn+3.67+, and one Cu2+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, three La3+, and two Mn+3.67+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two equivalent La3+, and two Mn+3.67+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one La3+, and two Mn+3.67+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two La3+, and two Mn+3.67+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Mn+3.67+, and one Cu2+ atom. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one La3+, and two Mn+3.67+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two equivalent La3+, and two Mn+3.67+ atoms. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, one La3+, and two Mn+3.67+ atoms. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Sr2+, two La3+, and two Mn+3.67+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+, one Mn+3.67+, and one Cu2+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, one La3+, and two Mn+3.67+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, one La3+, and two Mn+3.67+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+, one La3+, and two Mn+3.67+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two equivalent La3+, and two Mn+3.67+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two La3+, one Mn+3.67+, and one Cu2+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, three La3+, and two Mn+3.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba8LiTa7O24 by Materials Project

LiBa8Ta7O24 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TaO6 octahedra, faces with four BaO12 cuboctahedra, and a faceface with one TaO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are three shorter (2.02 Å) and three longer (2.37 Å) Li–O bond lengths. There are eight 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, and faces with eight TaO6 octahedra. There are three shorter (2.93 Å) and nine longer (2.95 Å) Ba–O bond lengths. 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 2.79–3.34 Å. 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 three equivalent BaO12 cuboctahedra, a faceface with one LiO6 octahedra, and faces with seven TaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.78–3.05 Å. 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, and faces with eight TaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.86–2.95 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 LiO6 octahedra, faces with six BaO12 cuboctahedra, and faces with seven TaO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Ba–O bond distances ranging from 2.74–3.11 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent TaO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with seven TaO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.85–2.98 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with three equivalent BaO12 cuboctahedra, faces with three equivalent LiO6 octahedra, and faces with five TaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.95–3.07 Å. In the eighth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent TaO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with seven TaO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.82–3.07 Å. There are seven inequivalent Ta+4.43+ sites. In the first Ta+4.43+ site, Ta+4.43+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are three shorter (2.01 Å) and three longer (2.07 Å) Ta–O bond lengths. In the second Ta+4.43+ site, Ta+4.43+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TaO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one TaO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are three shorter (2.06 Å) and three longer (2.09 Å) Ta–O bond lengths. In the third Ta+4.43+ site, Ta+4.43+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TaO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one TaO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (2.06 Å) and three longer (2.10 Å) Ta–O bond lengths. In the fourth Ta+4.43+ site, Ta+4.43+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three equivalent TaO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are three shorter (1.92 Å) and three longer (2.17 Å) Ta–O bond lengths. In the fifth Ta+4.43+ site, Ta+4.43+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. All Ta–O bond lengths are 2.06 Å. In the sixth Ta+4.43+ site, Ta+4.43+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are three shorter (2.04 Å) and three longer (2.06 Å) Ta–O bond lengths. In the seventh Ta+4.43+ site, Ta+4.43+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent TaO6 octahedra, and faces with five BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are three shorter (1.92 Å) and three longer (2.16 Å) Ta–O bond lengths. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to one Li1+, four Ba2+, and one Ta+4.43+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ta+4.43+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ta+4.43+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ta+4.43+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ta+4.43+ atoms. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ta+4.43+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ta+4.43+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four Ba2+, and one Ta+4.43+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba8LiNb7O24 by Materials Project

LiBa8Nb7O24 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent NbO6 octahedra, faces with four BaO12 cuboctahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are three shorter (2.02 Å) and three longer (2.35 Å) Li–O bond lengths. There are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent NbO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with seven NbO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ba–O bond distances ranging from 2.87–3.01 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 three equivalent BaO12 cuboctahedra, faces with three equivalent LiO6 octahedra, and faces with five NbO6 octahedra. There are nine shorter (2.97 Å) and three longer (3.04 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 three equivalent BaO12 cuboctahedra, a faceface with one LiO6 octahedra, and faces with seven NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.81–3.05 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent NbO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with seven NbO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ba–O bond distances ranging from 2.83–3.09 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, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.86–2.97 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.94–2.97 Å. In the seventh 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 2.82–3.30 Å. In the eighth 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 LiO6 octahedra, faces with six BaO12 cuboctahedra, and faces with seven NbO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Ba–O bond distances ranging from 2.75–3.12 Å. There are seven inequivalent Nb+4.43+ sites. In the first Nb+4.43+ site, Nb+4.43+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are three shorter (2.05 Å) and three longer (2.07 Å) Nb–O bond lengths. In the second Nb+4.43+ site, Nb+4.43+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent NbO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are three shorter (2.07 Å) and three longer (2.10 Å) Nb–O bond lengths. In the third Nb+4.43+ site, Nb+4.43+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent NbO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (2.07 Å) and three longer (2.11 Å) Nb–O bond lengths. In the fourth Nb+4.43+ site, Nb+4.43+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent NbO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are three shorter (1.92 Å) and three longer (2.18 Å) Nb–O bond lengths. In the fifth Nb+4.43+ site, Nb+4.43+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent NbO6 octahedra, and faces with five BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are three shorter (1.93 Å) and three longer (2.18 Å) Nb–O bond lengths. In the sixth Nb+4.43+ site, Nb+4.43+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are three shorter (2.01 Å) and three longer (2.09 Å) Nb–O bond lengths. In the seventh Nb+4.43+ site, Nb+4.43+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are three shorter (2.06 Å) and three longer (2.07 Å) Nb–O bond lengths. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Nb+4.43+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.43+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.43+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Nb+4.43+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four Ba2+, and one Nb+4.43+ atom. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to one Li1+, four Ba2+, and one Nb+4.43+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.43+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.43+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on La7SmNi6(AgO12)2 by Materials Project

SmLa7Ni6(AgO12)2 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent AgO6 octahedra, and faces with six NiO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.62–2.83 Å. There are five inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, faces with two equivalent AgO6 octahedra, and faces with six NiO6 octahedra. There are a spread of La–O bond distances ranging from 2.68–2.83 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent AgO6 octahedra, and faces with six NiO6 octahedra. There are a spread of La–O bond distances ranging from 2.67–2.84 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, faces with two equivalent AgO6 octahedra, and faces with six NiO6 octahedra. There are a spread of La–O bond distances ranging from 2.68–2.83 Å. In the fourth La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent AgO6 octahedra, and faces with six NiO6 octahedra. There are a spread of La–O bond distances ranging from 2.68–2.83 Å. In the fifth La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight equivalent LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent AgO6 octahedra, and faces with six NiO6 octahedra. There are a spread of La–O bond distances ranging from 2.72–2.87 Å. There are two inequivalent Ni+3.67+ sites. In the first Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent AgO6 octahedra, corners with four NiO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ni–O bond distances ranging from 1.85–1.97 Å. In the second Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NiO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ni–O bond distances ranging from 1.97–2.03 Å. Ag1+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with two equivalent AgO6 octahedra, corners with four equivalent NiO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ag–O bond distances ranging from 1.97–2.05 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Ag1+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Ni+3.67+ atoms. In the third O2- site, O2- is bonded to four La3+ and two equivalent Ni+3.67+ atoms to form distorted corner-sharing OLa4Ni2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Ag1+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Ni+3.67+ atoms. In the sixth O2- site, O2- is bonded to one Sm3+, three La3+, and two equivalent Ni+3.67+ atoms to form distorted corner-sharing OLa3SmNi2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, one Ni+3.67+, and one Ag1+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two Ni+3.67+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Ni+3.67+, and one Ag1+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Ni+3.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on La3SmV3CrO12 by Materials Project

SmLa3V3CrO12 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pma2 space group. The structure is three-dimensional. Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent CrO6 octahedra, and faces with six VO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.74–2.80 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 four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent CrO6 octahedra, and faces with six VO6 octahedra. There are a spread of La–O bond distances ranging from 2.76–2.83 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent CrO6 octahedra, and faces with six VO6 octahedra. There are a spread of La–O bond distances ranging from 2.76–2.83 Å. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent CrO6 octahedra, and faces with six VO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.83 Å. There are three inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO6 octahedra, faces with two equivalent SmO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of V–O bond distances ranging from 1.95–2.01 Å. In the second V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent VO6 octahedra, faces with two equivalent SmO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of V–O bond distances ranging from 1.95–2.01 Å. In the third V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four equivalent CrO6 octahedra, faces with two equivalent SmO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of V–O bond distances ranging from 1.95–2.02 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six VO6 octahedra, faces with two equivalent SmO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Cr–O bond distances ranging from 1.95–1.97 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two V3+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, one V3+, and one Cr3+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two V3+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one V3+, and one Cr3+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, and two V3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, one V3+, and one Cr3+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, and two V3+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, one V3+, and one Cr3+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two V3+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one V3+, and one Cr3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on KNa7V6Cr2O24 by Materials Project

KNa7V6Cr2O24 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, faces with two equivalent CrO6 octahedra, and faces with six VO6 octahedra. There are seven shorter (2.69 Å) and five longer (2.70 Å) K–O bond lengths. There are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four NaO12 cuboctahedra, faces with two equivalent CrO6 octahedra, and faces with six VO6 octahedra. There are five shorter (2.67 Å) and seven longer (2.68 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, faces with two equivalent CrO6 octahedra, and faces with six VO6 octahedra. There are a spread of Na–O bond distances ranging from 2.65–2.68 Å. In the third Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, faces with two equivalent CrO6 octahedra, and faces with six VO6 octahedra. There are three shorter (2.67 Å) and nine longer (2.68 Å) Na–O bond lengths. In the fourth Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, faces with two equivalent CrO6 octahedra, and faces with six VO6 octahedra. There are four shorter (2.65 Å) and eight longer (2.68 Å) Na–O bond lengths. In the fifth Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, faces with two equivalent CrO6 octahedra, and faces with six VO6 octahedra. All Na–O bond lengths are 2.67 Å. There are two inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four VO6 octahedra, a faceface with one KO12 cuboctahedra, and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of V–O bond distances ranging from 1.87–1.90 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO6 octahedra, a faceface with one KO12 cuboctahedra, and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of V–O bond distances ranging from 1.88–1.90 Å. Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent VO6 octahedra, a faceface with one KO12 cuboctahedra, and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Cr–O bond distances ranging from 1.89–1.91 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, one V5+, and one Cr5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two V5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Na1+, one V5+, and one Cr5+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two V5+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two equivalent Cr5+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two equivalent Cr5+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two equivalent V5+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two equivalent V5+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two equivalent V5+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two equivalent V5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on SrCa7Mn6(FeO12)2 by Materials Project

SrCa7Mn6(FeO12)2 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve CaO12 cuboctahedra, faces with six CaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are four shorter (2.73 Å) and eight longer (2.74 Å) Sr–O bond lengths. There are five inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with six CaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.68–2.72 Å. In the second Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with twelve CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.70–2.72 Å. In the third Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with twelve CaO12 cuboctahedra, faces with six CaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are eight shorter (2.70 Å) and four longer (2.71 Å) Ca–O bond lengths. In the fourth Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six CaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.68–2.71 Å. In the fifth Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with twelve CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are nine shorter (2.71 Å) and three longer (2.72 Å) Ca–O bond lengths. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, a faceface with one SrO12 cuboctahedra, and faces with seven CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mn–O bond distances ranging from 1.89–1.93 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, a faceface with one SrO12 cuboctahedra, and faces with seven CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mn–O bond distances ranging from 1.90–1.92 Å. Fe+2.50+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent MnO6 octahedra, a faceface with one SrO12 cuboctahedra, and faces with seven CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 1.90–1.95 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ca2+, one Mn+4.50+, and one Fe+2.50+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two Mn+4.50+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Mn+4.50+, and one Fe+2.50+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn+4.50+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two equivalent Fe+2.50+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two equivalent Fe+2.50+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two equivalent Mn+4.50+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two equivalent Mn+4.50+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two equivalent Mn+4.50+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two equivalent Mn+4.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr2Ca6Mn5(FeO8)3 by Materials Project

Sr2Ca6Mn5(FeO8)3 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.75–2.77 Å. There are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.67–2.75 Å. In the second Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six CaO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.66–2.72 Å. There are four inequivalent Mn+4.60+ sites. In the first Mn+4.60+ site, Mn+4.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent FeO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.90–1.93 Å. In the second Mn+4.60+ site, Mn+4.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent MnO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is four shorter (1.91 Å) and two longer (1.93 Å) Mn–O bond length. In the third Mn+4.60+ site, Mn+4.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.90–1.94 Å. In the fourth Mn+4.60+ site, Mn+4.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is two shorter (1.91 Å) and four longer (1.93 Å) Mn–O bond length. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent FeO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.90–1.95 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.92–1.96 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Mn+4.60+, and one Fe3+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Mn+4.60+, and one Fe3+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn+4.60+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, and two Fe3+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, one Mn+4.60+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two Fe3+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ca2+, one Mn+4.60+, and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, and two Mn+4.60+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, and two Mn+4.60+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two Mn+4.60+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two Mn+4.60+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on La7SmTi2V6O24 by Materials Project

SmLa7Ti2V6O24 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six VO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.72–2.85 Å. There are five inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six VO6 octahedra. There are a spread of La–O bond distances ranging from 2.76–2.84 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six VO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.84 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, faces with two equivalent TiO6 octahedra, and faces with six VO6 octahedra. There are a spread of La–O bond distances ranging from 2.76–2.85 Å. In the fourth La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six VO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.84 Å. In the fifth La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight equivalent LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six VO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.85 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent VO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.94–1.98 Å. There are two inequivalent V+2.67+ sites. In the first V+2.67+ site, V+2.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four VO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of V–O bond distances ranging from 1.97–2.03 Å. In the second V+2.67+ site, V+2.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of V–O bond distances ranging from 1.97–2.00 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent V+2.67+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent V+2.67+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent V+2.67+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent V+2.67+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, one Ti4+, and one V+2.67+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two V+2.67+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Ti4+, and one V+2.67+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two V+2.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K2Na2Nb(WO4)3 by Materials Project

K2Na2Nb(WO4)3 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six WO6 octahedra. There are a spread of K–O bond distances ranging from 2.82–2.88 Å. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.80–2.84 Å. Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Nb–O bond distances ranging from 1.99–2.04 Å. There are three inequivalent W5+ sites. In the first W5+ site, W5+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 2.00–2.10 Å. In the second W5+ site, W5+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 1.93–2.00 Å. In the third W5+ site, W5+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 1.94–2.01 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, and two equivalent W5+ atoms to form distorted OK2Na2W2 octahedra that share corners with six OK2Na2W2 octahedra, edges with four OK2Na2W2 octahedra, and faces with eight OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the second O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, and two equivalent W5+ atoms to form distorted OK2Na2W2 octahedra that share corners with eighteen OK2Na2W2 octahedra, edges with two equivalent OK2Na2W2 octahedra, and faces with four OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–60°. In the third O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, and two equivalent W5+ atoms to form distorted OK2Na2W2 octahedra that share corners with fourteen OK2Na2W2 octahedra, edges with two equivalent OK2Na2W2 octahedra, and faces with six OK4NbW octahedra. The corner-sharing octahedra tilt angles range from 1–59°. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Na1+, and two equivalent Nb5+ atoms. In the fifth O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, and two W5+ atoms to form a mixture of distorted face, edge, and corner-sharing OK2Na2W2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Na1+, one Nb5+, and one W5+ atom. In the seventh O2- site, O2- is bonded to four equivalent K1+ and two W5+ atoms to form distorted OK4W2 octahedra that share corners with fourteen OK2Na2W2 octahedra, edges with four OK4W2 octahedra, and faces with six OK2Na2W2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the eighth O2- site, O2- is bonded to four equivalent Na1+ and two W5+ atoms to form distorted ONa4W2 octahedra that share corners with ten OK2Na2W2 octahedra, edges with two equivalent ONa4W2 octahedra, and faces with six OK2Na2W2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the ninth O2- site, O2- is bonded to four equivalent K1+, one Nb5+, and one W5+ atom to form distorted OK4NbW octahedra that share corners with sixteen OK2Na2W2 octahedra, edges with four OK4W2 octahedra, and faces with four OK2Na2W2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Na1+, one Nb5+, and one W5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on BaSr7Mn2(FeO4)6 by Materials Project

BaSr7Mn2(FeO4)6 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent MnO6 octahedra, and faces with six FeO6 octahedra. There are eight shorter (2.82 Å) and four longer (2.83 Å) Ba–O bond lengths. There are five inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with two equivalent MnO6 octahedra, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.77–2.79 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- 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 two equivalent MnO6 octahedra, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.78 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent MnO6 octahedra, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.79 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent MnO6 octahedra, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.76–2.78 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- 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 two equivalent MnO6 octahedra, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.77–2.80 Å. Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent FeO6 octahedra, a faceface with one BaO12 cuboctahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.94–1.97 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, a faceface with one BaO12 cuboctahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.95–1.98 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four FeO6 octahedra, a faceface with one BaO12 cuboctahedra, and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.95–2.00 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three Sr2+, and two equivalent Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three Sr2+, and two equivalent Fe3+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three Sr2+, and two equivalent Mn7+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Fe3+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Mn7+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Fe3+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mn7+, and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three Sr2+, and two Fe3+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three Sr2+, one Mn7+, and one Fe3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on La7SmMn6(FeO12)2 by Materials Project

SmLa7Mn6(FeO12)2 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.75–2.79 Å. There are five inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.80 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.81 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, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.80 Å. In the fourth La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.80 Å. In the fifth La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight equivalent LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.81 Å. There are two inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mn–O bond distances ranging from 1.96–1.98 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is five shorter (1.97 Å) and one longer (1.98 Å) Mn–O bond length. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent MnO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is five shorter (1.97 Å) and one longer (1.98 Å) Fe–O bond length. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Mn3+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Mn3+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Fe3+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Mn3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Mn3+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, one Mn3+, and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two Mn3+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Mn3+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Mn3+ atoms.

36 MATERIALS SCIENCE↗