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Materials Data on Sr8(TiS3)7 by Materials Project

Sr8(TiS3)7 crystallizes in the trigonal P3 space group. The structure is three-dimensional. there are eight inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.99–3.48 Å. In the second Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine S2- atoms. There are a spread of Sr–S bond distances ranging from 2.98–3.53 Å. In the third Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine S2- atoms. There are a spread of Sr–S bond distances ranging from 2.96–3.62 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine S2- atoms. There are a spread of Sr–S bond distances ranging from 2.98–3.54 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine S2- atoms. There are a spread of Sr–S bond distances ranging from 2.98–3.52 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine S2- atoms. There are a spread of Sr–S bond distances ranging from 2.95–3.63 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine S2- atoms. There are a spread of Sr–S bond distances ranging from 2.98–3.54 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Sr–S bond distances ranging from 2.99–3.49 Å. There are twenty-one inequivalent Ti+3.71+ sites. In the first Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form distorted face-sharing TiS6 octahedra. There are three shorter (2.42 Å) and three longer (2.53 Å) Ti–S bond lengths. In the second Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.36 Å) and three longer (2.54 Å) Ti–S bond lengths. In the third Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.38 Å) and three longer (2.50 Å) Ti–S bond lengths. In the fourth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form distorted face-sharing TiS6 octahedra. There are three shorter (2.37 Å) and three longer (2.57 Å) Ti–S bond lengths. In the fifth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.44 Å) and three longer (2.48 Å) Ti–S bond lengths. In the sixth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.38 Å) and three longer (2.50 Å) Ti–S bond lengths. In the seventh Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.43 Å) and three longer (2.49 Å) Ti–S bond lengths. In the eighth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.38 Å) and three longer (2.51 Å) Ti–S bond lengths. In the ninth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form distorted face-sharing TiS6 octahedra. There are three shorter (2.46 Å) and three longer (2.48 Å) Ti–S bond lengths. In the tenth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.43 Å) and three longer (2.48 Å) Ti–S bond lengths. In the eleventh Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.38 Å) and three longer (2.51 Å) Ti–S bond lengths. In the twelfth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.42 Å) and three longer (2.49 Å) Ti–S bond lengths. In the thirteenth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.38 Å) and three longer (2.53 Å) Ti–S bond lengths. In the fourteenth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.38 Å) and three longer (2.52 Å) Ti–S bond lengths. In the fifteenth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.40 Å) and three longer (2.50 Å) Ti–S bond lengths. In the sixteenth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form distorted face-sharing TiS6 octahedra. There are three shorter (2.39 Å) and three longer (2.54 Å) Ti–S bond lengths. In the seventeenth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.44 Å) and three longer (2.48 Å) Ti–S bond lengths. In the eighteenth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form distorted face-sharing TiS6 octahedra. There are three shorter (2.41 Å) and three longer (2.54 Å) Ti–S bond lengths. In the nineteenth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.37 Å) and three longer (2.51 Å) Ti–S bond lengths. In the twentieth Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form face-sharing TiS6 octahedra. There are three shorter (2.36 Å) and three longer (2.53 Å) Ti–S bond lengths. In the twenty-first Ti+3.71+ site, Ti+3.71+ is bonded to six S2- atoms to form distorted face-sharing TiS6 octahedra. There are three shorter (2.38 Å) and three longer (2.56 Å) Ti–S bond lengths. There are twenty-one inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to three Sr2+ and two Ti+3.71+ atoms. In the second S2- site, S2- is bonded in a 4-coordinate geometry to four Sr2+ and two Ti+3.71+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to four Sr2+ and two Ti+3.71+ atoms. In the fourth S2- site, S2- is bonded in a 6-coordinate geometry to four Sr2+ and two Ti+3.71+ atoms. In the fifth S2- site, S2- is bonded in a 4-coordinate geometry to four Sr2+ and two Ti+3.71+ atoms. In the sixth S2- site, S2- is bonded in a 4-coordinate geometry to three Sr2+ and two Ti+3.71+ atoms. In the seventh S2- site, S2- is bonded in a 4-coordinate geometry to two Sr2+ and two Ti+3.71+ atoms. In the eighth S2- site, S2- is bonded in a 4-coordinate geometry to two Sr2+ and two Ti+3.71+ atoms. In the ninth S2- site, S2- is bonded in a 6-coordinate geometry to four Sr2+ and two Ti+3.71+ atoms. In the tenth S2- site, S2- is bonded in a 6-coordinate geometry to four Sr2+ and two Ti+3.71+ atoms. In the eleventh S2- site, S2- is bonded in a 4-coordinate geometry to four Sr2+ and two Ti+3.71+ atoms. In the twelfth S2- site, S2- is bonded in a 4-coordinate geometry to three Sr2+ and two Ti+3.71+ atoms. In the thirteenth S2- site, S2- is bonded in a 6-coordinate geometry to four Sr2+ and two Ti+3.71+ atoms. In the fourteenth S2- site, S2- is bonded in a 4-coordinate geometry to two Sr2+ and two Ti+3.71+ atoms. In the fifteenth S2- site, S2- is bonded in a 6-coordinate geometry to four Sr2+ and two Ti+3.71+ atoms. In the sixteenth S2- site, S2- is bonded in a 6-coordinate geometry to four Sr2+ and two Ti+3.71+ atoms. In the seventeenth S2- site, S2- is bonded in a 4-coordinate geometry to two Sr2+ and two Ti+3.71+ atoms. In the eighteenth S2- site, S2- is bonded in a 4-coordinate geometry to two Sr2+ and two Ti+3.71+ atoms. In the nineteenth S2- site, S2- is bonded to four Sr2+ and two Ti+3.71+ atoms to form distorted face-sharing SSr4Ti2 octahedra. In the twentieth S2- site, S2- is bonded in a 4-coordinate geometry to three Sr2+ and two Ti+3.71+ atoms. In the twenty-first S2- site, S2- is bonded in a 4-coordinate geometry to four Sr2+ and two Ti+3.71+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaSr2LaTi4O12 by Materials Project

NaSr2LaTi4O12 crystallizes in the tetragonal P-42m space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight NaO12 cuboctahedra, a faceface with one SrO12 cuboctahedra, faces with five LaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Na–O bond distances ranging from 2.61–2.95 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six LaO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Na–O bond distances ranging from 2.61–2.95 Å. There are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one LaO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.63–2.92 Å. In the second 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, and faces with eight equivalent TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.65–2.91 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.65–3.01 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, and faces with eight equivalent TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–2.92 Å. There are two inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form distorted LaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight LaO12 cuboctahedra, a faceface with one SrO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.54–3.01 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form distorted LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.54–3.00 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with four NaO12 cuboctahedra, and faces with four LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There is two shorter (1.96 Å) and four longer (1.98 Å) Ti–O bond length. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, faces with two equivalent LaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Ti–O bond distances ranging from 1.94–1.99 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Ti–O bond distances ranging from 1.96–1.98 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent La3+, and two Ti4+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, two La3+, and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, two La3+, and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent La3+, and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, two Sr2+, one La3+, and two equivalent Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, two Sr2+, one La3+, and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba13Nb14O42 by Materials Project

Ba13Nb14O42 is (Cubic) Perovskite-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seven inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–2.96 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eleven BaO12 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–2.97 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eleven BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–2.94 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 five BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–2.97 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eleven BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.88–2.94 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with ten BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.88–2.94 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with ten BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are two shorter (2.89 Å) and ten longer (2.93 Å) Ba–O bond lengths. There are eight inequivalent Nb+4.14+ sites. In the first Nb+4.14+ site, Nb+4.14+ 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 1–4°. There are a spread of Nb–O bond distances ranging from 2.04–2.10 Å. In the second Nb+4.14+ site, Nb+4.14+ 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 0–1°. There are five shorter (2.07 Å) and one longer (2.08 Å) Nb–O bond lengths. In the third Nb+4.14+ site, Nb+4.14+ 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 0–5°. There are a spread of Nb–O bond distances ranging from 2.04–2.10 Å. In the fourth Nb+4.14+ site, Nb+4.14+ 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 0–1°. All Nb–O bond lengths are 2.07 Å. In the fifth Nb+4.14+ site, Nb+4.14+ 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 1–5°. There are a spread of Nb–O bond distances ranging from 2.04–2.10 Å. In the sixth Nb+4.14+ site, Nb+4.14+ 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 1–4°. There are a spread of Nb–O bond distances ranging from 2.04–2.10 Å. In the seventh Nb+4.14+ site, Nb+4.14+ 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 0–1°. All Nb–O bond lengths are 2.07 Å. In the eighth Nb+4.14+ site, Nb+4.14+ 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 0–1°. All Nb–O bond lengths are 2.07 Å. There are twenty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.14+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.14+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.14+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Nb+4.14+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.14+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.14+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.14+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Nb+4.14+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TaCo3 by Materials Project

Co3Ta is beta Cu3Ti-like structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are two inequivalent Ta sites. In the first Ta site, Ta is bonded to twelve Co atoms to form TaCo12 cuboctahedra that share corners with six equivalent TaCo12 cuboctahedra, corners with twelve CoTa4Co8 cuboctahedra, edges with eighteen CoTa4Co8 cuboctahedra, faces with eight equivalent TaCo12 cuboctahedra, and faces with twelve CoTa4Co8 cuboctahedra. There are six shorter (2.58 Å) and six longer (2.60 Å) Ta–Co bond lengths. In the second Ta site, Ta is bonded to twelve Co atoms to form TaCo12 cuboctahedra that share corners with six CoTa4Co8 cuboctahedra, corners with nine equivalent TaCo12 cuboctahedra, edges with twenty-one CoTa4Co8 cuboctahedra, faces with seven TaCo12 cuboctahedra, and faces with twelve CoTa4Co8 cuboctahedra. There are a spread of Ta–Co bond distances ranging from 2.57–2.62 Å. There are nine inequivalent Co sites. In the first Co site, Co is bonded to four Ta and eight Co atoms to form CoTa4Co8 cuboctahedra that share corners with four equivalent TaCo12 cuboctahedra, corners with fourteen CoTa4Co8 cuboctahedra, edges with six TaCo12 cuboctahedra, edges with twelve CoTa4Co8 cuboctahedra, faces with four TaCo12 cuboctahedra, and faces with sixteen CoTa4Co8 cuboctahedra. There are four shorter (2.52 Å) and four longer (2.58 Å) Co–Co bond lengths. In the second Co site, Co is bonded to four Ta and eight Co atoms to form CoTa4Co8 cuboctahedra that share corners with four equivalent TaCo12 cuboctahedra, corners with fourteen CoTa4Co8 cuboctahedra, edges with six TaCo12 cuboctahedra, edges with twelve CoTa4Co8 cuboctahedra, faces with four TaCo12 cuboctahedra, and faces with sixteen CoTa4Co8 cuboctahedra. There are two shorter (2.58 Å) and two longer (2.62 Å) Co–Ta bond lengths. There are four shorter (2.52 Å) and two longer (2.58 Å) Co–Co bond lengths. In the third Co site, Co is bonded to four Ta and eight Co atoms to form distorted CoTa4Co8 cuboctahedra that share corners with two equivalent TaCo12 cuboctahedra, corners with thirteen CoTa4Co8 cuboctahedra, edges with seven TaCo12 cuboctahedra, edges with fourteen CoTa4Co8 cuboctahedra, faces with four TaCo12 cuboctahedra, and faces with fifteen CoTa4Co8 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.44–2.73 Å. In the fourth Co site, Co is bonded to four Ta and eight Co atoms to form distorted CoTa4Co8 cuboctahedra that share corners with two equivalent TaCo12 cuboctahedra, corners with thirteen CoTa4Co8 cuboctahedra, edges with seven TaCo12 cuboctahedra, edges with fourteen CoTa4Co8 cuboctahedra, faces with four TaCo12 cuboctahedra, and faces with fifteen CoTa4Co8 cuboctahedra. There are two shorter (2.52 Å) and one longer (2.55 Å) Co–Co bond lengths. In the fifth Co site, Co is bonded to four Ta and eight Co atoms to form distorted CoTa4Co8 cuboctahedra that share corners with two equivalent TaCo12 cuboctahedra, corners with thirteen CoTa4Co8 cuboctahedra, edges with seven TaCo12 cuboctahedra, edges with fourteen CoTa4Co8 cuboctahedra, faces with four TaCo12 cuboctahedra, and faces with fifteen CoTa4Co8 cuboctahedra. The Co–Ta bond length is 2.60 Å. There are a spread of Co–Co bond distances ranging from 2.44–2.73 Å. In the sixth Co site, Co is bonded to four Ta and eight Co atoms to form distorted CoTa4Co8 cuboctahedra that share corners with two equivalent TaCo12 cuboctahedra, corners with thirteen CoTa4Co8 cuboctahedra, edges with seven TaCo12 cuboctahedra, edges with fourteen CoTa4Co8 cuboctahedra, faces with four TaCo12 cuboctahedra, and faces with fifteen CoTa4Co8 cuboctahedra. In the seventh Co site, Co is bonded to four Ta and eight Co atoms to form CoTa4Co8 cuboctahedra that share corners with four equivalent TaCo12 cuboctahedra, corners with fourteen CoTa4Co8 cuboctahedra, edges with six TaCo12 cuboctahedra, edges with twelve CoTa4Co8 cuboctahedra, faces with four TaCo12 cuboctahedra, and faces with sixteen CoTa4Co8 cuboctahedra. There are two shorter (2.52 Å) and four longer (2.58 Å) Co–Co bond lengths. In the eighth Co site, Co is bonded to four Ta and eight Co atoms to form distorted CoTa4Co8 cuboctahedra that share corners with two equivalent TaCo12 cuboctahedra, corners with thirteen CoTa4Co8 cuboctahedra, edges with seven TaCo12 cuboctahedra, edges with fourteen CoTa4Co8 cuboctahedra, faces with four TaCo12 cuboctahedra, and faces with fifteen CoTa4Co8 cuboctahedra. There are one shorter (2.57 Å) and two longer (2.58 Å) Co–Ta bond lengths. There are a spread of Co–Co bond distances ranging from 2.44–2.73 Å. In the ninth Co site, Co is bonded to four Ta and eight Co atoms to form CoTa4Co8 cuboctahedra that share corners with four equivalent TaCo12 cuboctahedra, corners with fourteen CoTa4Co8 cuboctahedra, edges with six TaCo12 cuboctahedra, edges with twelve CoTa4Co8 cuboctahedra, faces with four TaCo12 cuboctahedra, and faces with sixteen CoTa4Co8 cuboctahedra. There are two shorter (2.58 Å) and two longer (2.62 Å) Co–Ta bond lengths. There are one shorter (2.52 Å) and four longer (2.58 Å) Co–Co bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Ba2Sr6Ti7MnO24 by Materials Project

Ba2Sr6Ti7MnO24 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Cmm2 space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one MnO6 octahedra, and faces with seven TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.78–2.85 Å. There are three inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, a faceface with one MnO6 octahedra, and faces with seven TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.77–2.82 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent BaO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one MnO6 octahedra, and faces with seven TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.74–2.82 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, a faceface with one MnO6 octahedra, and faces with seven TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.78–2.83 Å. There are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are five shorter (1.97 Å) and one longer (2.05 Å) Ti–O bond lengths. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.95–2.00 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There is one shorter (1.94 Å) and five longer (1.95 Å) Mn–O bond length. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three Sr2+, one Ti4+, and one Mn4+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three Sr2+, and two Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three Sr2+, and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three Sr2+, and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Ti4+, and one Mn4+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent Sr2+, one Ti4+, and one Mn4+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent Sr2+, and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent Sr2+, and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3SrCo(CuO4)3 by Materials Project

Ba3SrCo(CuO4)3 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are two inequivalent Ba sites. In the first Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with two equivalent CoO6 octahedra, and faces with six CuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–2.88 Å. In the second Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent CoO6 octahedra, and faces with six CuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.91 Å. Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, faces with two equivalent CoO6 octahedra, and faces with six CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.69–2.80 Å. Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent CuO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Co–O bond distances ranging from 1.92–1.99 Å. There are two inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six CuO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Cu–O bond distances ranging from 1.99–2.01 Å. In the second Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CuO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Cu–O bond distances ranging from 1.98–2.07 Å. There are seven inequivalent O sites. In the first O site, O is bonded to three Ba, one Sr, and two equivalent Cu atoms to form distorted OBa3SrCu2 octahedra that share corners with ten OBa3SrCu2 octahedra, edges with four equivalent OBa3SrCu2 octahedra, and faces with eight OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 5–60°. In the second O site, O is bonded to three Ba, one Sr, and two equivalent Cu atoms to form distorted OBa3SrCu2 octahedra that share corners with eighteen OBa3SrCu2 octahedra, edges with two equivalent OBa3SrCu2 octahedra, and faces with six OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. In the third O site, O is bonded in a distorted linear geometry to three Ba, one Sr, and two equivalent Co atoms. In the fourth O site, O is bonded to two equivalent Ba, two equivalent Sr, and two Cu atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with twelve OBa3SrCu2 octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with seven OBa3SrCu2 octahedra. The corner-sharing octahedra tilt angles range from 3–60°. In the fifth O site, O is bonded in a distorted linear geometry to two equivalent Ba, two equivalent Sr, one Co, and one Cu atom. In the sixth O site, O is bonded to four Ba and two Cu atoms to form distorted OBa4Cu2 octahedra that share corners with sixteen OBa3SrCu2 octahedra, edges with four OBa4Cu2 octahedra, and faces with seven OBa3SrCu2 octahedra. The corner-sharing octahedra tilt angles range from 2–61°. In the seventh O site, O is bonded to four Ba, one Co, and one Cu atom to form distorted OBa4CoCu octahedra that share corners with eighteen OBa3SrCu2 octahedra, edges with four OBa4Cu2 octahedra, and faces with five OBa3SrCu2 octahedra. The corner-sharing octahedra tilt angles range from 2–63°.

36 MATERIALS SCIENCE↗

Materials Data on La7SmMn4(FeO6)4 by Materials Project

SmLa7Mn4(FeO6)4 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4mm 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 four equivalent MnO6 octahedra, and faces with four equivalent FeO6 octahedra. There are four shorter (2.76 Å) and eight longer (2.79 Å) Sm–O bond lengths. 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 LaO12 cuboctahedra, faces with four equivalent MnO6 octahedra, and faces with four equivalent FeO6 octahedra. There are four shorter (2.78 Å) and eight longer (2.80 Å) La–O bond lengths. 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 equivalent LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with four equivalent MnO6 octahedra, and faces with four equivalent FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.81 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 six LaO12 cuboctahedra, faces with four equivalent MnO6 octahedra, and faces with four equivalent FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.81 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 six LaO12 cuboctahedra, faces with four equivalent MnO6 octahedra, and faces with four equivalent FeO6 octahedra. There are four shorter (2.78 Å) and eight longer (2.80 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 two equivalent SmO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, faces with four equivalent MnO6 octahedra, and faces with four equivalent FeO6 octahedra. There are four shorter (2.78 Å) and eight longer (2.80 Å) La–O bond lengths. Mn+3.25+ is bonded to six O2- atoms to form MnO6 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 are a spread of Mn–O bond distances ranging from 1.96–1.98 Å. Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent FeO6 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 two shorter (1.96 Å) and four longer (1.98 Å) Fe–O bond length. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Fe+2.75+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Mn+3.25+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Fe+2.75+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Mn+3.25+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, one Mn+3.25+, and one Fe+2.75+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Mn+3.25+, and one Fe+2.75+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr3CaTiMn3O12 by Materials Project

Sr3CaTiMn3O12 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pma2 space group. The structure is three-dimensional. there are three inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.78 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.79 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.70–2.77 Å. Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.66–2.77 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 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 three inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.90–1.95 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.91–1.95 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Mn4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Mn4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Mn4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Mn4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Ti4+, and one Mn4+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, and two Mn4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, one Ti4+, and one Mn4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr3CaTi3MnO12 by Materials Project

Sr3CaTi3MnO12 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pma2 space group. The structure is three-dimensional. there are three inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with two equivalent MnO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.80 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent MnO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.75–2.82 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, faces with two equivalent MnO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.79 Å. Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent MnO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.68–2.79 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 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. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.93–1.97 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.94–1.97 Å. Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Mn4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Ti4+, and one Mn4+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, one Ti4+, and one Mn4+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Yb2ZnSb2 by Materials Project

Yb2ZnSb2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eighteen inequivalent Yb2+ sites. In the first Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form distorted YbSb6 octahedra that share corners with eight YbSb6 octahedra, corners with six ZnSb4 tetrahedra, edges with seven YbSb6 octahedra, a faceface with one YbSb6 octahedra, and faces with two equivalent ZnSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–56°. There are a spread of Yb–Sb bond distances ranging from 3.13–3.54 Å. In the second Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form distorted YbSb6 octahedra that share corners with eight YbSb6 octahedra, corners with six ZnSb4 tetrahedra, edges with seven YbSb6 octahedra, a faceface with one YbSb6 octahedra, and faces with two equivalent ZnSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–55°. There are a spread of Yb–Sb bond distances ranging from 3.15–3.55 Å. In the third Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form distorted YbSb6 octahedra that share corners with nine YbSb6 octahedra, corners with six ZnSb4 tetrahedra, edges with seven YbSb6 octahedra, faces with two YbSb6 octahedra, and faces with two equivalent ZnSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–52°. There are a spread of Yb–Sb bond distances ranging from 3.15–3.52 Å. In the fourth Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form distorted YbSb6 octahedra that share corners with nine YbSb6 octahedra, corners with six ZnSb4 tetrahedra, edges with seven YbSb6 octahedra, faces with two YbSb6 octahedra, and faces with two equivalent ZnSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–55°. There are a spread of Yb–Sb bond distances ranging from 3.14–3.57 Å. In the fifth Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form YbSb6 octahedra that share corners with eleven YbSb6 octahedra, corners with two equivalent ZnSb4 tetrahedra, edges with four YbSb6 octahedra, edges with four ZnSb4 tetrahedra, and faces with two YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Yb–Sb bond distances ranging from 3.10–3.30 Å. In the sixth Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form YbSb6 octahedra that share corners with eleven YbSb6 octahedra, corners with two equivalent ZnSb4 tetrahedra, edges with four YbSb6 octahedra, edges with four ZnSb4 tetrahedra, and faces with two YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 28–54°. There are a spread of Yb–Sb bond distances ranging from 3.18–3.36 Å. In the seventh Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form YbSb6 octahedra that share corners with eleven YbSb6 octahedra, corners with two equivalent ZnSb4 tetrahedra, edges with four YbSb6 octahedra, edges with four ZnSb4 tetrahedra, and faces with two YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 29–55°. There are a spread of Yb–Sb bond distances ranging from 3.18–3.34 Å. In the eighth Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form YbSb6 octahedra that share corners with eleven YbSb6 octahedra, corners with two equivalent ZnSb4 tetrahedra, edges with four YbSb6 octahedra, edges with four ZnSb4 tetrahedra, and faces with two YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 31–57°. There are a spread of Yb–Sb bond distances ranging from 3.16–3.40 Å. In the ninth Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form distorted YbSb6 octahedra that share corners with nine YbSb6 octahedra, corners with six ZnSb4 tetrahedra, edges with eight YbSb6 octahedra, an edgeedge with one ZnSb4 tetrahedra, a faceface with one YbSb6 octahedra, and a faceface with one ZnSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–57°. There are a spread of Yb–Sb bond distances ranging from 3.20–3.47 Å. In the tenth Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form YbSb6 octahedra that share corners with nine YbSb6 octahedra, corners with six ZnSb4 tetrahedra, edges with eight YbSb6 octahedra, an edgeedge with one ZnSb4 tetrahedra, a faceface with one YbSb6 octahedra, and a faceface with one ZnSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–55°. There are a spread of Yb–Sb bond distances ranging from 3.20–3.41 Å. In the eleventh Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form YbSb6 octahedra that share corners with seven YbSb6 octahedra, corners with six ZnSb4 tetrahedra, edges with eight YbSb6 octahedra, an edgeedge with one ZnSb4 tetrahedra, a faceface with one YbSb6 octahedra, and a faceface with one ZnSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 0–54°. There are a spread of Yb–Sb bond distances ranging from 3.20–3.39 Å. In the twelfth Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form YbSb6 octahedra that share corners with seven YbSb6 octahedra, corners with six ZnSb4 tetrahedra, edges with eight YbSb6 octahedra, an edgeedge with one ZnSb4 tetrahedra, a faceface with one YbSb6 octahedra, and a faceface with one ZnSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 0–55°. There are a spread of Yb–Sb bond distances ranging from 3.21–3.37 Å. In the thirteenth Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form YbSb6 octahedra that share corners with twelve YbSb6 octahedra, corners with six ZnSb4 tetrahedra, edges with two equivalent YbSb6 octahedra, edges with two ZnSb4 tetrahedra, and faces with two YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of Yb–Sb bond distances ranging from 3.23–3.36 Å. In the fourteenth Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form YbSb6 octahedra that share corners with twelve YbSb6 octahedra, corners with six ZnSb4 tetrahedra, edges with six YbSb6 octahedra, edges with two ZnSb4 tetrahedra, and faces with two YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of Yb–Sb bond distances ranging from 3.15–3.41 Å. In the fifteenth Yb2+ site, Yb2+ is bonded in a 5-coordinate geometry to five Sb3- atoms. There are a spread of Yb–Sb bond distances ranging from 3.17–3.26 Å. In the sixteenth Yb2+ site, Yb2+ is bonded in a 6-coordinate geometry to six Sb3- atoms. There are a spread of Yb–Sb bond distances ranging from 3.19–3.59 Å. In the seventeenth Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form distorted YbSb6 octahedra that share corners with thirteen YbSb6 octahedra, edges with four YbSb6 octahedra, edges with two equivalent ZnSb4 tetrahedra, faces with three YbSb6 octahedra, and faces with two equivalent ZnSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–52°. There are a spread of Yb–Sb bond distances ranging from 3.16–3.49 Å. In the eighteenth Yb2+ site, Yb2+ is bonded to six Sb3- atoms to form distorted YbSb6 octahedra that share corners with thirteen YbSb6 octahedra, edges with four YbSb6 octahedra, edges with two equivalent ZnSb4 tetrahedra, faces with three YbSb6 octahedra, and faces with two equivalent ZnSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are a spread of Yb–Sb bond distances ranging from 3.18–3.55 Å. There are nine inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four Sb3- atoms to form ZnSb4 tetrahedra that share corners with eight YbSb6 octahedra, corners with three ZnSb4 tetrahedra, and edges with five YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 17–70°. There are a spread of Zn–Sb bond distances ranging from 2.76–2.83 Å. In the second Zn2+ site, Zn2+ is bonded to four Sb3- atoms to form ZnSb4 tetrahedra that share corners with eight YbSb6 octahedra, corners with three ZnSb4 tetrahedra, and edges with five YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 21–69°. There are a spread of Zn–Sb bond distances ranging from 2.75–2.84 Å. In the third Zn2+ site, Zn2+ is bonded to four Sb3- atoms to form ZnSb4 tetrahedra that share corners with eight YbSb6 octahedra, corners with three ZnSb4 tetrahedra, edges with five YbSb6 octahedra, and faces with two equivalent YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 21–70°. There are a spread of Zn–Sb bond distances ranging from 2.74–2.85 Å. In the fourth Zn2+ site, Zn2+ is bonded to four Sb3- atoms to form ZnSb4 tetrahedra that share corners with eight YbSb6 octahedra, corners with three ZnSb4 tetrahedra, edges with five YbSb6 octahedra, and faces with two equivalent YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 25–67°. There are a spread of Zn–Sb bond distances ranging from 2.71–2.88 Å. In the fifth Zn2+ site, Zn2+ is bonded to four Sb3- atoms to form ZnSb4 tetrahedra that share corners with nine YbSb6 octahedra, corners with four ZnSb4 tetrahedra, an edgeedge with one YbSb6 octahedra, and faces with three YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 34–63°. There are a spread of Zn–Sb bond distances ranging from 2.68–2.95 Å. In the sixth Zn2+ site, Zn2+ is bonded to four Sb3- atoms to form ZnSb4 tetrahedra that share corners with nine YbSb6 octahedra, corners with four ZnSb4 tetrahedra, an edgeedge with one YbSb6 octahedra, and faces with three YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 34–62°. There are a spread of Zn–Sb bond distances ranging from 2.68–2.95 Å. In the seventh Zn2+ site, Zn2+ is bonded to four Sb3- atoms to form ZnSb4 tetrahedra that share corners with nine YbSb6 octahedra, corners with four ZnSb4 tetrahedra, edges with three YbSb6 octahedra, and faces with three YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 30–62°. There are a spread of Zn–Sb bond distances ranging from 2.66–2.86 Å. In the eighth Zn2+ site, Zn2+ is bonded to four Sb3- atoms to form ZnSb4 tetrahedra that share corners with nine YbSb6 octahedra, corners with four ZnSb4 tetrahedra, edges with three YbSb6 octahedra, and faces with three YbSb6 octahedra. The corner-sharing octahedra tilt angles range from 33–63°. There are a spread of Zn–Sb bond distances ranging from 2.69–2.95 Å. In the ninth Zn2+ site, Zn2+ is bonded in a trigonal planar geometry to three Sb3- atoms. There are one shorter (2.59 Å) and two longer (2.63 Å) Zn–Sb bond lengths. There are eighteen inequivalent Sb3- sites. In the first Sb3- site, Sb3- is bonded in a 7-coordinate geometry to five Yb2+ and two equivalent Zn2+ atoms. In the second Sb3- site, Sb3- is bonded in a 7-coordinate geometry to six Yb2+ and two equivalent Zn2+ atoms. In the third Sb3- site, Sb3- is bonded in a 8-coordinate geometry to six Yb2+ and two equivalent Zn2+ atoms. In the fourth Sb3- site, Sb3- is bonded in a 7-coordinate geometry to six Yb2+ and two equivalent Zn2+ atoms. In the fifth Sb3- site, Sb3- is bonded in a 9-coordinate geometry to six Yb2+ and three Zn2+ atoms. In the sixth Sb3- site, Sb3- is bonded in a 7-coordinate geometry to six Yb2+ and one Zn2+ atom. In the seventh Sb3- site, Sb3- is bonded to six Yb2+ and one Zn2+ atom to form a mixture of distorted corner and edge-sharing SbYb6Zn pentagonal bipyramids. In the eighth Sb3- site, Sb3- is bonded to six Yb2+ and one Zn2+ atom to form a mixture of distorted corner and edge-sharing SbYb6Zn pentagonal bipyramids. In the ninth Sb3- site, Sb3- is bonded in a 8-coordinate geometry to six Yb2+ and two Zn2+ atoms. In the tenth Sb3- site, Sb3- is bonded in a 8-coordinate geometry to six Yb2+ and two Zn2+ atoms. In the eleventh Sb3- site, Sb3- is bonded in a 8-coordinate geometry to six Yb2+ and two Zn2+ atoms. In the twelfth Sb3- site, Sb3- is bonded in a 8-coordinate geometry to six Yb2+ and two Zn2+ atoms. In the thirteenth Sb3- site, Sb3- is bonded in a 9-coordinate geometry to six Yb2+ and three Zn2+ atoms. In the fourteenth Sb3- site, Sb3- is bonded in a 7-coordinate geometry to six Yb2+ and two equivalent Zn2+ atoms. In the fifteenth Sb3- site, Sb3- is bonded in a 7-coordina

36 MATERIALS SCIENCE↗

Materials Data on MgIn2 by Materials Project

MgIn2 crystallizes in the trigonal R32 space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to three equivalent Mg and nine In atoms to form distorted MgMg3In9 cuboctahedra that share corners with six equivalent InMg6In6 cuboctahedra, corners with twelve MgMg3In9 cuboctahedra, edges with six equivalent MgMg3In9 cuboctahedra, edges with twelve InMg4In8 cuboctahedra, faces with four MgMg3In9 cuboctahedra, and faces with sixteen InMg4In8 cuboctahedra. All Mg–Mg bond lengths are 3.31 Å. There are a spread of Mg–In bond distances ranging from 3.26–3.30 Å. In the second Mg site, Mg is bonded to three equivalent Mg and nine In atoms to form distorted MgMg3In9 cuboctahedra that share corners with six equivalent InMg6In6 cuboctahedra, corners with twelve MgMg3In9 cuboctahedra, edges with six equivalent MgMg3In9 cuboctahedra, edges with twelve InMg4In8 cuboctahedra, faces with four MgMg3In9 cuboctahedra, and faces with sixteen InMg4In8 cuboctahedra. All Mg–Mg bond lengths are 3.31 Å. There are a spread of Mg–In bond distances ranging from 3.26–3.30 Å. In the third Mg site, Mg is bonded to three equivalent Mg and nine In atoms to form distorted MgMg3In9 cuboctahedra that share corners with six equivalent InMg6In6 cuboctahedra, corners with twelve MgMg3In9 cuboctahedra, edges with six equivalent MgMg3In9 cuboctahedra, edges with twelve InMg4In8 cuboctahedra, faces with four MgMg3In9 cuboctahedra, and faces with sixteen InMg4In8 cuboctahedra. There are a spread of Mg–In bond distances ranging from 3.26–3.30 Å. In the fourth Mg site, Mg is bonded to three equivalent Mg and nine In atoms to form distorted MgMg3In9 cuboctahedra that share corners with six equivalent InMg6In6 cuboctahedra, corners with twelve MgMg3In9 cuboctahedra, edges with six equivalent MgMg3In9 cuboctahedra, edges with twelve InMg4In8 cuboctahedra, faces with four MgMg3In9 cuboctahedra, and faces with sixteen InMg4In8 cuboctahedra. All Mg–Mg bond lengths are 3.31 Å. There are a spread of Mg–In bond distances ranging from 3.26–3.30 Å. In the fifth Mg site, Mg is bonded to three equivalent Mg and nine In atoms to form distorted MgMg3In9 cuboctahedra that share corners with six equivalent InMg6In6 cuboctahedra, corners with twelve MgMg3In9 cuboctahedra, edges with six equivalent MgMg3In9 cuboctahedra, edges with twelve InMg4In8 cuboctahedra, faces with four MgMg3In9 cuboctahedra, and faces with sixteen InMg4In8 cuboctahedra. There are a spread of Mg–In bond distances ranging from 3.26–3.30 Å. There are six inequivalent In sites. In the first In site, In is bonded to four Mg and eight In atoms to form distorted InMg4In8 cuboctahedra that share corners with eighteen InMg4In8 cuboctahedra, edges with eight MgMg3In9 cuboctahedra, edges with ten InMg4In8 cuboctahedra, faces with eight MgMg3In9 cuboctahedra, and faces with twelve InMg4In8 cuboctahedra. There are a spread of In–In bond distances ranging from 3.27–3.31 Å. In the second In site, In is bonded to four Mg and eight In atoms to form distorted InMg4In8 cuboctahedra that share corners with eighteen InMg4In8 cuboctahedra, edges with eight MgMg3In9 cuboctahedra, edges with ten InMg4In8 cuboctahedra, faces with eight MgMg3In9 cuboctahedra, and faces with twelve InMg4In8 cuboctahedra. There are a spread of In–In bond distances ranging from 3.27–3.31 Å. In the third In site, In is bonded to six equivalent Mg and six In atoms to form distorted InMg6In6 cuboctahedra that share corners with six equivalent InMg6In6 cuboctahedra, corners with twelve MgMg3In9 cuboctahedra, edges with eighteen InMg4In8 cuboctahedra, faces with eight MgMg3In9 cuboctahedra, and faces with twelve InMg4In8 cuboctahedra. Both In–In bond lengths are 3.27 Å. In the fourth In site, In is bonded to four Mg and eight In atoms to form distorted InMg4In8 cuboctahedra that share corners with eighteen InMg4In8 cuboctahedra, edges with eight MgMg3In9 cuboctahedra, edges with ten InMg6In6 cuboctahedra, faces with eight MgMg3In9 cuboctahedra, and faces with twelve InMg4In8 cuboctahedra. There are a spread of In–In bond distances ranging from 3.27–3.31 Å. In the fifth In site, In is bonded to four Mg and eight In atoms to form distorted InMg4In8 cuboctahedra that share corners with eighteen InMg4In8 cuboctahedra, edges with eight MgMg3In9 cuboctahedra, edges with ten InMg6In6 cuboctahedra, faces with eight MgMg3In9 cuboctahedra, and faces with twelve InMg4In8 cuboctahedra. There are two shorter (3.29 Å) and four longer (3.31 Å) In–In bond lengths. In the sixth In site, In is bonded to four Mg and eight In atoms to form distorted InMg4In8 cuboctahedra that share corners with eighteen InMg4In8 cuboctahedra, edges with eight MgMg3In9 cuboctahedra, edges with ten InMg6In6 cuboctahedra, faces with eight MgMg3In9 cuboctahedra, and faces with twelve InMg4In8 cuboctahedra. There are one shorter (3.29 Å) and two longer (3.31 Å) In–In bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Ba2Ho2Fe(CoO4)3 by Materials Project

Ba2Ho2Fe(CoO4)3 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight HoO12 cuboctahedra, faces with two HoO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, faces with four equivalent FeO6 octahedra, and faces with four equivalent CoO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–2.97 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight HoO12 cuboctahedra, faces with two HoO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight CoO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–2.92 Å. There are two inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to twelve O2- atoms to form HoO12 cuboctahedra that share corners with four equivalent HoO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with two BaO12 cuboctahedra, faces with four equivalent HoO12 cuboctahedra, and faces with eight CoO6 octahedra. There are eight shorter (2.56 Å) and four longer (2.80 Å) Ho–O bond lengths. In the second Ho3+ site, Ho3+ is bonded to twelve O2- atoms to form HoO12 cuboctahedra that share corners with four equivalent HoO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with two BaO12 cuboctahedra, faces with four equivalent HoO12 cuboctahedra, faces with four equivalent FeO6 octahedra, and faces with four equivalent CoO6 octahedra. There are a spread of Ho–O bond distances ranging from 2.54–2.80 Å. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two CoO6 octahedra, corners with four equivalent FeO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and faces with four equivalent HoO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of Fe–O bond distances ranging from 1.94–2.04 Å. There are three inequivalent Co+3.67+ sites. In the first Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and faces with four equivalent HoO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Co–O bond distances ranging from 1.84–2.00 Å. In the second Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and faces with four equivalent HoO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of Co–O bond distances ranging from 1.79–1.99 Å. In the third Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and faces with four equivalent HoO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Co–O bond distances ranging from 1.77–1.99 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two equivalent Ho3+, and two equivalent Fe3+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Ho3+, and two equivalent Co+3.67+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Ho3+, and two equivalent Co+3.67+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Ho3+, and two equivalent Co+3.67+ atoms. In the fifth O2- site, O2- is bonded to four equivalent Ba2+, one Fe3+, and one Co+3.67+ atom to form a mixture of distorted edge and corner-sharing OBa4FeCo octahedra. The corner-sharing octahedral tilt angles are 1°. In the sixth O2- site, O2- is bonded to four equivalent Ba2+ and two Co+3.67+ atoms to form a mixture of distorted edge and corner-sharing OBa4Co2 octahedra. The corner-sharing octahedral tilt angles are 2°. In the seventh O2- site, O2- is bonded in a linear geometry to four equivalent Ho3+ and two Co+3.67+ atoms. In the eighth O2- site, O2- is bonded in a linear geometry to four equivalent Ho3+, one Fe3+, and one Co+3.67+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr10Fe10O27 by Materials Project

Sr10Fe10O27 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are five inequivalent Sr sites. In the first Sr site, Sr is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Sr–O bond distances ranging from 2.65–3.04 Å. In the second Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.73–2.78 Å. In the third Sr site, Sr is bonded in a distorted q6 geometry to eleven O atoms. There are a spread of Sr–O bond distances ranging from 2.69–2.84 Å. In the fourth Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with six FeO6 octahedra, and faces with two equivalent FeO5 trigonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.73–3.11 Å. In the fifth Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.65–2.73 Å. There are ten inequivalent Fe sites. In the first Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with two equivalent FeO6 octahedra and corners with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 10°. There are a spread of Fe–O bond distances ranging from 1.91–1.98 Å. In the second Fe site, Fe is bonded in a square co-planar geometry to four O atoms. There are a spread of Fe–O bond distances ranging from 1.86–1.88 Å. In the third Fe site, Fe is bonded to six O atoms to form corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Fe–O bond distances ranging from 1.93–2.08 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.93–1.99 Å. In the fifth Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with three FeO6 octahedra, corners with two equivalent FeO5 trigonal bipyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Fe–O bond distances ranging from 1.88–1.98 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four FeO6 octahedra and corners with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Fe–O bond distances ranging from 1.93–2.05 Å. In the seventh Fe site, Fe is bonded to six O atoms to form corner-sharing FeO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Fe–O bond distances ranging from 1.93–2.08 Å. In the eighth Fe site, Fe is bonded in a square co-planar geometry to four O atoms. There is one shorter (1.85 Å) and three longer (1.88 Å) Fe–O bond length. In the ninth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five FeO6 octahedra and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.93–2.05 Å. In the tenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four FeO6 octahedra, corners with two equivalent FeO5 trigonal bipyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Fe–O bond distances ranging from 1.92–2.06 Å. There are twenty-two inequivalent O sites. In the first O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 4–56°. In the second O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–65°. In the third O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–68°. In the fourth O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–59°. In the fifth O site, O is bonded in a 6-coordinate geometry to four Sr and two Fe atoms. In the sixth O site, O is bonded in a distorted linear geometry to four equivalent Sr and two Fe atoms. In the seventh O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–65°. In the eighth O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the ninth O site, O is bonded in a distorted linear geometry to four equivalent Sr and two Fe atoms. In the tenth O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–56°. In the eleventh O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–64°. In the twelfth O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the thirteenth O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the fourteenth O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–56°. In the fifteenth O site, O is bonded in a 2-coordinate geometry to four Sr and two equivalent Fe atoms. In the sixteenth O site, O is bonded in a distorted linear geometry to four Sr and two equivalent Fe atoms. In the seventeenth O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the eighteenth O site, O is bonded in a 2-coordinate geometry to four Sr and two equivalent Fe atoms. In the nineteenth O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 3–55°. In the twentieth O site, O is bonded in a distorted linear geometry to four Sr and two equivalent Fe atoms. In the twenty-first O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the twenty-second O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted face, edge, and corner-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°.

36 MATERIALS SCIENCE↗

Materials Data on Al4Ni15Sn by Materials Project

Ni15Al4Sn is beta Cu3Ti-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are seven inequivalent Ni sites. In the first Ni site, Ni is bonded to eight equivalent Ni and four equivalent Sn atoms to form NiNi8Sn4 cuboctahedra that share corners with twelve NiNi8Sn4 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen equivalent NiAl2Ni8Sn2 cuboctahedra, faces with four equivalent SnNi12 cuboctahedra, and faces with fourteen NiAl2Ni8Sn2 cuboctahedra. All Ni–Ni bond lengths are 2.63 Å. All Ni–Sn bond lengths are 2.56 Å. In the second Ni site, Ni is bonded to eight Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiNi8Sn4 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with four equivalent SnNi12 cuboctahedra, edges with sixteen NiAl2Ni8Sn2 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiNi8Sn4 cuboctahedra. There are four shorter (2.49 Å) and four longer (2.52 Å) Ni–Ni bond lengths. All Ni–Al bond lengths are 2.56 Å. In the third Ni site, Ni is bonded to eight Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. There are four shorter (2.53 Å) and four longer (2.54 Å) Ni–Ni bond lengths. All Ni–Al bond lengths are 2.56 Å. In the fourth Ni site, Ni is bonded to eight Ni, two equivalent Al, and two equivalent Sn atoms to form distorted NiAl2Ni8Sn2 cuboctahedra that share corners with twelve NiAl2Ni8Sn2 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with four equivalent SnNi12 cuboctahedra, edges with sixteen NiNi8Sn4 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with two equivalent SnNi12 cuboctahedra, and faces with fourteen NiNi8Sn4 cuboctahedra. All Ni–Ni bond lengths are 2.56 Å. Both Ni–Al bond lengths are 2.50 Å. Both Ni–Sn bond lengths are 2.63 Å. In the fifth Ni site, Ni is bonded to eight Ni and four Al atoms to form distorted NiAl4Ni8 cuboctahedra that share corners with twelve NiAl2Ni8Sn2 cuboctahedra, edges with eight AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with four AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.56 Å. There are two shorter (2.51 Å) and two longer (2.53 Å) Ni–Al bond lengths. In the sixth Ni site, Ni is bonded to eight Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.56 Å. All Ni–Al bond lengths are 2.54 Å. In the seventh Ni site, Ni is bonded to eight Ni and four Al atoms to form distorted NiAl4Ni8 cuboctahedra that share corners with twelve NiAl2Ni8Sn2 cuboctahedra, edges with eight AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with four AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. There are two shorter (2.51 Å) and two longer (2.53 Å) Ni–Al bond lengths. There are two inequivalent Al sites. In the first Al site, Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with four equivalent SnNi12 cuboctahedra, corners with eight AlNi12 cuboctahedra, edges with twenty-four NiNi8Sn4 cuboctahedra, a faceface with one SnNi12 cuboctahedra, faces with five AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra. In the second Al site, Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with twelve AlNi12 cuboctahedra, edges with twenty-four NiAl4Ni8 cuboctahedra, faces with six AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra. Sn is bonded to twelve Ni atoms to form SnNi12 cuboctahedra that share corners with four equivalent SnNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiAl2Ni8Sn2 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with four equivalent SnNi12 cuboctahedra, and faces with twelve NiAl2Ni8Sn2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sm4Fe27Co7C2 by Materials Project

Sm4Fe27Co7C2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Sm sites. In the first Sm site, Sm is bonded in a distorted single-bond geometry to ten Fe, four Co, and one C atom. There are a spread of Sm–Fe bond distances ranging from 3.03–3.32 Å. There are a spread of Sm–Co bond distances ranging from 3.07–3.34 Å. The Sm–C bond length is 2.55 Å. In the second Sm site, Sm is bonded in a distorted single-bond geometry to eleven Fe, three Co, and one C atom. There are a spread of Sm–Fe bond distances ranging from 3.04–3.31 Å. There are one shorter (3.27 Å) and two longer (3.34 Å) Sm–Co bond lengths. The Sm–C bond length is 2.56 Å. In the third Sm site, Sm is bonded in a distorted single-bond geometry to eleven Fe, three Co, and one C atom. There are a spread of Sm–Fe bond distances ranging from 3.04–3.30 Å. There are one shorter (3.27 Å) and two longer (3.34 Å) Sm–Co bond lengths. The Sm–C bond length is 2.56 Å. In the fourth Sm site, Sm is bonded in a distorted single-bond geometry to eleven Fe, three Co, and one C atom. There are a spread of Sm–Fe bond distances ranging from 3.03–3.30 Å. There are one shorter (3.27 Å) and two longer (3.34 Å) Sm–Co bond lengths. The Sm–C bond length is 2.55 Å. There are seventeen inequivalent Fe sites. In the first Fe site, Fe is bonded in a single-bond geometry to five Fe, two equivalent Co, and one C atom. There are four shorter (2.55 Å) and one longer (2.67 Å) Fe–Fe bond lengths. Both Fe–Co bond lengths are 2.48 Å. The Fe–C bond length is 1.93 Å. In the second Fe site, Fe is bonded in a single-bond geometry to five Fe, two equivalent Co, and one C atom. There are four shorter (2.56 Å) and one longer (2.66 Å) Fe–Fe bond lengths. Both Fe–Co bond lengths are 2.47 Å. The Fe–C bond length is 1.92 Å. In the third Fe site, Fe is bonded to three Sm, seven Fe, and two Co atoms to form distorted FeSm3Fe7Co2 cuboctahedra that share corners with five CoSm2Fe10 cuboctahedra, corners with seven FeSm3Fe7Co2 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with three FeSm3Fe7Co2 cuboctahedra, edges with three CoSm2Fe10 cuboctahedra, faces with three CoSm2Fe10 cuboctahedra, faces with four FeSm3Fe7Co2 cuboctahedra, and a faceface with one CSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 66–70°. There are a spread of Fe–Fe bond distances ranging from 2.54–2.67 Å. There are one shorter (2.47 Å) and one longer (2.48 Å) Fe–Co bond lengths. In the fourth Fe site, Fe is bonded to three Sm, seven Fe, and two Co atoms to form distorted FeSm3Fe7Co2 cuboctahedra that share corners with five CoSm2Fe10 cuboctahedra, corners with seven FeSm3Fe7Co2 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with three FeSm3Fe7Co2 cuboctahedra, edges with three CoSm2Fe10 cuboctahedra, faces with three CoSm2Fe9Co cuboctahedra, faces with four FeSm3Fe7Co2 cuboctahedra, and a faceface with one CSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 66–70°. There are a spread of Fe–Fe bond distances ranging from 2.54–2.67 Å. Both Fe–Co bond lengths are 2.47 Å. In the fifth Fe site, Fe is bonded in a single-bond geometry to five Fe, two equivalent Co, and one C atom. There are two shorter (2.56 Å) and one longer (2.66 Å) Fe–Fe bond lengths. Both Fe–Co bond lengths are 2.48 Å. The Fe–C bond length is 1.92 Å. In the sixth Fe site, Fe is bonded in a single-bond geometry to four Fe, three Co, and one C atom. Both Fe–Fe bond lengths are 2.55 Å. There are two shorter (2.47 Å) and one longer (2.64 Å) Fe–Co bond lengths. The Fe–C bond length is 1.92 Å. In the seventh Fe site, Fe is bonded to three Sm, six Fe, and three Co atoms to form distorted FeSm3Fe6Co3 cuboctahedra that share corners with five CoSm2Fe10 cuboctahedra, corners with seven FeSm3Fe7Co2 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with three FeSm3Fe7Co2 cuboctahedra, edges with three CoSm2Fe9Co cuboctahedra, faces with three CoSm2Fe9Co cuboctahedra, faces with four FeSm3Fe7Co2 cuboctahedra, and a faceface with one CSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 66–70°. There are a spread of Fe–Fe bond distances ranging from 2.53–2.67 Å. There are a spread of Fe–Co bond distances ranging from 2.46–2.63 Å. In the eighth Fe site, Fe is bonded to three Sm, seven Fe, and two Co atoms to form distorted FeSm3Fe7Co2 cuboctahedra that share corners with five CoSm2Fe10 cuboctahedra, corners with seven FeSm3Fe7Co2 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with three FeSm3Fe7Co2 cuboctahedra, edges with three CoSm2Fe10 cuboctahedra, faces with three CoSm2Fe10 cuboctahedra, faces with four FeSm3Fe7Co2 cuboctahedra, and a faceface with one CSm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 66–70°. There are a spread of Fe–Fe bond distances ranging from 2.54–2.67 Å. Both Fe–Co bond lengths are 2.47 Å. In the ninth Fe site, Fe is bonded in a single-bond geometry to six Fe, two equivalent Co, and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.47–2.74 Å. Both Fe–Co bond lengths are 2.44 Å. The Fe–C bond length is 1.85 Å. In the tenth Fe site, Fe is bonded in a single-bond geometry to five Fe, three Co, and one C atom. There are two shorter (2.47 Å) and one longer (2.73 Å) Fe–Fe bond lengths. There are two shorter (2.44 Å) and one longer (2.74 Å) Fe–Co bond lengths. The Fe–C bond length is 1.84 Å. In the eleventh Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, eight Fe, and two Co atoms. There are a spread of Fe–Fe bond distances ranging from 2.48–2.75 Å. There are one shorter (2.43 Å) and one longer (2.44 Å) Fe–Co bond lengths. In the twelfth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, seven Fe, and three Co atoms. There are one shorter (2.49 Å) and one longer (2.73 Å) Fe–Fe bond lengths. There are a spread of Fe–Co bond distances ranging from 2.42–2.73 Å. In the thirteenth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, seven Fe, and three Co atoms. There are one shorter (2.50 Å) and one longer (2.73 Å) Fe–Fe bond lengths. There are a spread of Fe–Co bond distances ranging from 2.42–2.75 Å. In the fourteenth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, eight Fe, and two Co atoms. There are a spread of Fe–Fe bond distances ranging from 2.49–2.75 Å. There are one shorter (2.43 Å) and one longer (2.44 Å) Fe–Co bond lengths. In the fifteenth Fe site, Fe is bonded in a 5-coordinate geometry to one Sm, ten Fe, and three Co atoms. The Fe–Fe bond length is 2.36 Å. All Fe–Co bond lengths are 2.64 Å. In the sixteenth Fe site, Fe is bonded in a 5-coordinate geometry to one Sm, ten Fe, and three Co atoms. There are one shorter (2.64 Å) and two longer (2.65 Å) Fe–Co bond lengths. In the seventeenth Fe site, Fe is bonded in a 1-coordinate geometry to one Sm, nine Fe, and four Co atoms. There are a spread of Fe–Co bond distances ranging from 2.33–2.66 Å. There are five inequivalent Co sites. In the first Co site, Co is bonded to two Sm, nine Fe, and one Co atom to form distorted CoSm2Fe9Co cuboctahedra that share corners with four FeSm3Fe7Co2 cuboctahedra, corners with four CoSm2Fe10 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with four FeSm3Fe7Co2 cuboctahedra, faces with four FeSm3Fe7Co2 cuboctahedra, and faces with four CoSm2Fe9Co cuboctahedra. The corner-sharing octahedral tilt angles are 45°. The Co–Co bond length is 2.63 Å. In the second Co site, Co is bonded to two Sm and ten Fe atoms to form distorted CoSm2Fe10 cuboctahedra that share corners with four FeSm3Fe7Co2 cuboctahedra, corners with four CoSm2Fe10 cuboctahedra, corners with two CSm2Fe4 octahedra, edges with four FeSm3Fe7Co2 cuboctahedra, faces with four FeSm3Fe7Co2 cuboctahedra, and faces with four CoSm2Fe9Co cuboctahedra. The corner-sharing octahedral tilt angles are 45°. In the third Co site, Co is bonded to two Sm and ten Fe atoms to form distorted CoSm2Fe10 cuboctahedra that share corners with four CoSm2Fe10 cuboctahedra, corners with eight FeSm3Fe7Co2 cuboctahedra, edges with four FeSm3Fe7Co2 cuboctahedra, faces with four FeSm3Fe7Co2 cuboctahedra, faces with four CoSm2Fe10 cuboctahedra, and faces with two equivalent CSm2Fe4 octahedra. In the fourth Co site, Co is bonded to two Sm, nine Fe, and one Co atom to form distorted CoSm2Fe9Co cuboctahedra that share corners with four CoSm2Fe9Co cuboctahedra, corners with eight FeSm3Fe7Co2 cuboctahedra, edges with four FeSm3Fe7Co2 cuboctahedra, faces with four FeSm3Fe7Co2 cuboctahedra, faces with four CoSm2Fe9Co cuboctahedra, and faces with two equivalent CSm2Fe4 octahedra. The Co–Co bond length is 2.65 Å. In the fifth Co site, Co is bonded in a 1-coordinate geometry to one Sm, ten Fe, and three Co atoms. There are two inequivalent C sites. In the first C site, C is bonded to two Sm and four Fe atoms to form CSm2Fe4 octahedra that share corners with two CoSm2Fe9Co cuboctahedra, corners with eight FeSm3Fe7Co2 cuboctahedra, faces with four FeSm3Fe7Co2 cuboctahedra, and faces with four equivalent CoSm2Fe10 cuboctahedra. In the second C site, C is bonded to two Sm and four Fe atoms to form CSm2Fe4 octahedra that share corners with two CoSm2Fe9Co cuboctahedra, corners with eight FeSm3Fe7Co2 cuboctahedra, faces with four FeSm3Fe6Co3 cuboctahedra, and faces with four equivalent CoSm2Fe9Co cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Bi3Pd12Pb by Materials Project

Pd12PbBi3 is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are six inequivalent Pd sites. In the first Pd site, Pd is bonded to eight Pd, one Pb, and three Bi atoms to form PdBi3Pd8Pb cuboctahedra that share corners with four equivalent BiPd12 cuboctahedra, corners with fourteen PdBi3Pd8Pb cuboctahedra, edges with two equivalent PbPd12 cuboctahedra, edges with four BiPd12 cuboctahedra, edges with twelve PdBi3Pd8Pb cuboctahedra, a faceface with one PbPd12 cuboctahedra, faces with three BiPd12 cuboctahedra, and faces with sixteen PdBi3Pd8Pb cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.90–2.94 Å. The Pd–Pb bond length is 2.90 Å. There are one shorter (2.92 Å) and two longer (2.93 Å) Pd–Bi bond lengths. In the second Pd site, Pd is bonded to eight Pd, two equivalent Pb, and two equivalent Bi atoms to form PdBi2Pd8Pb2 cuboctahedra that share corners with twelve PdBi4Pd8 cuboctahedra, edges with two equivalent PbPd12 cuboctahedra, edges with six BiPd12 cuboctahedra, edges with sixteen PdBi3Pd8Pb cuboctahedra, faces with two equivalent PbPd12 cuboctahedra, faces with two equivalent BiPd12 cuboctahedra, and faces with fourteen PdBi3Pd8Pb cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.87–3.00 Å. There are one shorter (2.89 Å) and one longer (2.95 Å) Pd–Pb bond lengths. Both Pd–Bi bond lengths are 2.94 Å. In the third Pd site, Pd is bonded to eight Pd and four Bi atoms to form PdBi4Pd8 cuboctahedra that share corners with twelve PdBi4Pd8 cuboctahedra, edges with two equivalent PbPd12 cuboctahedra, edges with six BiPd12 cuboctahedra, edges with sixteen PdBi3Pd8Pb cuboctahedra, faces with four BiPd12 cuboctahedra, and faces with fourteen PdBi3Pd8Pb cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.86–2.99 Å. There are a spread of Pd–Bi bond distances ranging from 2.88–2.98 Å. In the fourth Pd site, Pd is bonded to eight Pd, two equivalent Pb, and two equivalent Bi atoms to form PdBi2Pd8Pb2 cuboctahedra that share corners with four PdBi2Pd8Pb2 cuboctahedra, corners with four equivalent PbPd12 cuboctahedra, corners with four equivalent BiPd12 cuboctahedra, edges with twenty-four PdBi3Pd8Pb cuboctahedra, faces with two equivalent PbPd12 cuboctahedra, faces with four equivalent BiPd12 cuboctahedra, and faces with twelve PdBi3Pd8Pb cuboctahedra. Both Pd–Pb bond lengths are 2.93 Å. Both Pd–Bi bond lengths are 2.97 Å. In the fifth Pd site, Pd is bonded to eight Pd and four Bi atoms to form PdBi4Pd8 cuboctahedra that share corners with four PdBi2Pd8Pb2 cuboctahedra, corners with four equivalent PbPd12 cuboctahedra, corners with four equivalent BiPd12 cuboctahedra, edges with twenty-four PdBi3Pd8Pb cuboctahedra, faces with six BiPd12 cuboctahedra, and faces with twelve PdBi3Pd8Pb cuboctahedra. There are two shorter (2.93 Å) and two longer (2.96 Å) Pd–Bi bond lengths. In the sixth Pd site, Pd is bonded to eight Pd, one Pb, and three Bi atoms to form PdBi3Pd8Pb cuboctahedra that share corners with eight equivalent BiPd12 cuboctahedra, corners with ten PdBi3Pd8Pb cuboctahedra, edges with eighteen PdBi3Pd8Pb cuboctahedra, faces with two equivalent PbPd12 cuboctahedra, faces with four BiPd12 cuboctahedra, and faces with fourteen PdBi3Pd8Pb cuboctahedra. The Pd–Pb bond length is 2.93 Å. There are two shorter (2.93 Å) and one longer (2.95 Å) Pd–Bi bond lengths. Pb is bonded to twelve Pd atoms to form PbPd12 cuboctahedra that share corners with two equivalent PbPd12 cuboctahedra, corners with two equivalent BiPd12 cuboctahedra, corners with eight PdBi2Pd8Pb2 cuboctahedra, edges with two equivalent PbPd12 cuboctahedra, edges with six BiPd12 cuboctahedra, edges with sixteen PdBi3Pd8Pb cuboctahedra, faces with four equivalent BiPd12 cuboctahedra, and faces with fourteen PdBi3Pd8Pb cuboctahedra. There are two inequivalent Bi sites. In the first Bi site, Bi is bonded to twelve Pd atoms to form BiPd12 cuboctahedra that share corners with two equivalent PbPd12 cuboctahedra, corners with two equivalent BiPd12 cuboctahedra, corners with eight PdBi2Pd8Pb2 cuboctahedra, edges with two equivalent PbPd12 cuboctahedra, edges with six BiPd12 cuboctahedra, edges with sixteen PdBi3Pd8Pb cuboctahedra, faces with four equivalent BiPd12 cuboctahedra, and faces with fourteen PdBi3Pd8Pb cuboctahedra. In the second Bi site, Bi is bonded to twelve Pd atoms to form BiPd12 cuboctahedra that share corners with two equivalent BiPd12 cuboctahedra, corners with sixteen PdBi3Pd8Pb cuboctahedra, edges with two equivalent PbPd12 cuboctahedra, edges with four BiPd12 cuboctahedra, edges with twelve PdBi3Pd8Pb cuboctahedra, faces with two equivalent PbPd12 cuboctahedra, faces with four BiPd12 cuboctahedra, and faces with fourteen PdBi3Pd8Pb cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on SrLa3Ti2(CoO6)2 by Materials Project

SrLa3Ti2(CoO6)2 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.78–2.85 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 twelve LaO12 cuboctahedra, faces with two equivalent LaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four CoO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.80 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four CoO6 octahedra. There are four shorter (2.77 Å) and eight longer (2.78 Å) La–O bond lengths. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four CoO6 octahedra. There are eight shorter (2.73 Å) and four longer (2.78 Å) La–O bond lengths. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six CoO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Ti–O bond distances ranging from 1.88–1.96 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six CoO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Ti–O bond distances ranging from 1.93–1.99 Å. There are two inequivalent Co+2.50+ sites. In the first Co+2.50+ site, Co+2.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There is two shorter (1.96 Å) and four longer (1.98 Å) Co–O bond length. In the second Co+2.50+ site, Co+2.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Co–O bond distances ranging from 2.01–2.04 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three La3+, one Ti4+, and one Co+2.50+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three La3+, one Ti4+, and one Co+2.50+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent La3+, one Ti4+, and one Co+2.50+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent La3+, one Ti4+, and one Co+2.50+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Ti4+, and one Co+2.50+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Ti4+, and one Co+2.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on TiAl4Ni15 by Materials Project

TiNi15Al4 is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ti is bonded to twelve Ni atoms to form TiNi12 cuboctahedra that share corners with four equivalent TiNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiTi2Al2Ni8 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with four equivalent TiNi12 cuboctahedra, and faces with twelve NiTi2Al2Ni8 cuboctahedra. There are four shorter (2.51 Å) and eight longer (2.52 Å) Ti–Ni bond lengths. There are seven inequivalent Ni sites. In the first Ni site, Ni is bonded to four equivalent Ti and eight equivalent Ni atoms to form distorted NiTi4Ni8 cuboctahedra that share corners with twelve NiTi4Ni8 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen equivalent NiTi2Al2Ni8 cuboctahedra, faces with four equivalent TiNi12 cuboctahedra, and faces with fourteen NiTi2Al2Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.52 Å. In the second Ni site, Ni is bonded to eight Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiTi4Ni8 cuboctahedra, edges with four equivalent TiNi12 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with sixteen NiTi2Al2Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiTi4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.50 Å. All Ni–Al bond lengths are 2.51 Å. In the third Ni site, Ni is bonded to eight Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.51 Å. All Ni–Al bond lengths are 2.51 Å. In the fourth Ni site, Ni is bonded to two equivalent Ti, eight Ni, and two equivalent Al atoms to form NiTi2Al2Ni8 cuboctahedra that share corners with twelve NiTi2Al2Ni8 cuboctahedra, edges with four equivalent TiNi12 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with sixteen NiTi4Ni8 cuboctahedra, faces with two equivalent TiNi12 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, and faces with fourteen NiTi4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.51 Å. Both Ni–Al bond lengths are 2.51 Å. In the fifth Ni site, Ni is bonded to eight Ni and four Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiTi2Al2Ni8 cuboctahedra, edges with eight AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with four AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.51 Å. There are two shorter (2.49 Å) and two longer (2.50 Å) Ni–Al bond lengths. In the sixth Ni site, Ni is bonded to eight Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.51 Å. All Ni–Al bond lengths are 2.51 Å. In the seventh Ni site, Ni is bonded to eight Ni and four Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiAl4Ni8 cuboctahedra, edges with eight AlNi12 cuboctahedra, edges with sixteen NiAl4Ni8 cuboctahedra, faces with four AlNi12 cuboctahedra, and faces with fourteen NiAl4Ni8 cuboctahedra. There are two shorter (2.49 Å) and two longer (2.50 Å) Ni–Al bond lengths. There are two inequivalent Al sites. In the first Al site, Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with four equivalent TiNi12 cuboctahedra, corners with eight AlNi12 cuboctahedra, edges with twenty-four NiTi4Ni8 cuboctahedra, a faceface with one TiNi12 cuboctahedra, faces with five AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra. In the second Al site, Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with twelve AlNi12 cuboctahedra, edges with twenty-four NiAl4Ni8 cuboctahedra, faces with six AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗