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Materials Data on BaSr3(CoO3)4 by Materials Project

BaSr3(CoO3)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four equivalent SrO12 cuboctahedra, corners with six CoO6 octahedra, faces with two equivalent BaO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 14–15°. There are a spread of Ba–O bond distances ranging from 2.77–2.97 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 two equivalent SrO12 cuboctahedra, corners with four equivalent BaO12 cuboctahedra, corners with six CoO6 octahedra, faces with eight SrO12 cuboctahedra, and faces with six CoO6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Sr–O bond distances ranging from 2.70–2.95 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with six SrO12 cuboctahedra, corners with six CoO6 octahedra, faces with four equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, and faces with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 14–16°. There are a spread of Sr–O bond distances ranging from 2.77–2.98 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with six SrO12 cuboctahedra, corners with six CoO6 octahedra, faces with two equivalent BaO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 15–16°. There are a spread of Sr–O bond distances ranging from 2.74–2.95 Å. There are two inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, and faces with two equivalent CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.90 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with five SrO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with two equivalent CoO6 octahedra. There is four shorter (1.88 Å) and two longer (1.90 Å) Co–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two Sr2+, and two equivalent Co4+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Co4+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two Sr2+, and two equivalent Co4+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Co4+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Co4+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Co4+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to one Ba2+, three Sr2+, and two equivalent Co4+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three Sr2+, and two equivalent Co4+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three Sr2+, and two equivalent Co4+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to one Ba2+, three Sr2+, and two equivalent Co4+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Co4+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Co4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NbAl2Ni9 by Materials Project

NbNi9Al2 is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Nb is bonded to twelve Ni atoms to form NbNi12 cuboctahedra that share corners with four equivalent NbNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiAl4Ni8 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with four equivalent NbNi12 cuboctahedra, and faces with twelve NiNb4Ni8 cuboctahedra. There are four shorter (2.56 Å) and eight longer (2.58 Å) Nb–Ni bond lengths. There are five inequivalent Ni sites. In the first Ni site, Ni is bonded to four equivalent Nb and eight equivalent Ni atoms to form NiNb4Ni8 cuboctahedra that share corners with twelve NiNb4Ni8 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen equivalent NiNb2Al2Ni8 cuboctahedra, faces with four equivalent NbNi12 cuboctahedra, and faces with fourteen NiNb4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.58 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 NiNb4Ni8 cuboctahedra, edges with four equivalent NbNi12 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with sixteen NiNb2Al2Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiNb4Ni8 cuboctahedra. There are four shorter (2.51 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 two equivalent Nb, eight Ni, and two equivalent Al atoms to form NiNb2Al2Ni8 cuboctahedra that share corners with twelve NiNb2Al2Ni8 cuboctahedra, edges with four equivalent NbNi12 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with sixteen NiNb4Ni8 cuboctahedra, faces with two equivalent NbNi12 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, and faces with fourteen NiNb4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.56 Å. Both Ni–Al bond lengths are 2.54 Å. In the fourth Ni site, Ni is bonded to eight Ni and four equivalent Al atoms to form distorted NiAl4Ni8 cuboctahedra that share corners with twelve NiNb2Al2Ni8 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 2.48 Å. In the fifth Ni site, Ni is bonded to eight Ni and four equivalent Al atoms to form distorted 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–Al bond lengths are 2.48 Å. Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with four equivalent NbNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiNb4Ni8 cuboctahedra, a faceface with one NbNi12 cuboctahedra, faces with five equivalent AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y4Fe34C3 by Materials Project

Y4Fe34C3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Y sites. In the first Y site, Y is bonded in a distorted bent 120 degrees geometry to nine Fe and two C atoms. There are a spread of Y–Fe bond distances ranging from 3.05–3.37 Å. Both Y–C bond lengths are 2.51 Å. In the second Y site, Y is bonded in a distorted single-bond geometry to fourteen Fe and one C atom. There are a spread of Y–Fe bond distances ranging from 3.03–3.32 Å. The Y–C bond length is 2.53 Å. There are eighteen inequivalent Fe sites. In the first Fe site, Fe is bonded in a single-bond geometry to seven Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.41–2.73 Å. The Fe–C bond length is 1.86 Å. In the second Fe site, Fe is bonded in a single-bond geometry to seven Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.43–2.74 Å. The Fe–C bond length is 1.86 Å. In the third Fe site, Fe is bonded in a single-bond geometry to six Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.43–2.74 Å. The Fe–C bond length is 1.86 Å. In the fourth Fe site, Fe is bonded to two equivalent Y and ten Fe atoms to form distorted FeY2Fe10 cuboctahedra that share corners with fifteen FeY2Fe10 cuboctahedra, corners with two equivalent CY2Fe4 octahedra, edges with three FeY2Fe10 cuboctahedra, an edgeedge with one CY2Fe4 octahedra, and faces with fourteen FeY2Fe10 cuboctahedra. The corner-sharing octahedra tilt angles range from 25–30°. There are a spread of Fe–Fe bond distances ranging from 2.42–2.75 Å. In the fifth Fe site, Fe is bonded to two equivalent Y and ten Fe atoms to form distorted FeY2Fe10 cuboctahedra that share corners with nine FeY2Fe10 cuboctahedra, corners with four CY2Fe4 octahedra, edges with three FeY2Fe10 cuboctahedra, edges with two CY2Fe4 octahedra, and faces with ten FeY2Fe10 cuboctahedra. The corner-sharing octahedra tilt angles range from 22–29°. There are a spread of Fe–Fe bond distances ranging from 2.43–2.74 Å. In the sixth Fe site, Fe is bonded to two equivalent Y and ten Fe atoms to form distorted FeY2Fe10 cuboctahedra that share corners with fifteen FeY2Fe10 cuboctahedra, corners with two equivalent CY2Fe4 octahedra, edges with four FeY2Fe10 cuboctahedra, an edgeedge with one CY2Fe4 octahedra, and faces with fourteen FeY2Fe10 cuboctahedra. The corner-sharing octahedra tilt angles range from 25–30°. There are a spread of Fe–Fe bond distances ranging from 2.43–2.75 Å. In the seventh Fe site, Fe is bonded in a 2-coordinate geometry to one Y and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.39–2.67 Å. In the eighth Fe site, Fe is bonded in a 2-coordinate geometry to one Y and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.62–2.67 Å. In the ninth Fe site, Fe is bonded to two equivalent Y and ten Fe atoms to form FeY2Fe10 cuboctahedra that share corners with ten FeY2Fe10 cuboctahedra, corners with two equivalent CY2Fe4 octahedra, edges with four FeY2Fe10 cuboctahedra, faces with eight FeY2Fe10 cuboctahedra, and faces with two equivalent CY2Fe4 octahedra. The corner-sharing octahedral tilt angles are 45°. There are two shorter (2.46 Å) and two longer (2.47 Å) Fe–Fe bond lengths. In the tenth Fe site, Fe is bonded to two equivalent Y and ten Fe atoms to form FeY2Fe10 cuboctahedra that share corners with ten FeY2Fe10 cuboctahedra, corners with two equivalent CY2Fe4 octahedra, edges with eight FeY2Fe10 cuboctahedra, and faces with twelve FeY2Fe10 cuboctahedra. The corner-sharing octahedral tilt angles are 44°. There are two shorter (2.46 Å) and two longer (2.48 Å) Fe–Fe bond lengths. In the eleventh Fe site, Fe is bonded to two Y and ten Fe atoms to form distorted FeY2Fe10 cuboctahedra that share corners with thirteen FeY2Fe10 cuboctahedra, a cornercorner with one CY2Fe4 octahedra, edges with five FeY2Fe10 cuboctahedra, faces with eleven FeY2Fe10 cuboctahedra, and faces with two equivalent CY2Fe4 octahedra. The corner-sharing octahedral tilt angles are 45°. There are three shorter (2.47 Å) and one longer (2.48 Å) Fe–Fe bond lengths. In the twelfth Fe site, Fe is bonded to two Y and ten Fe atoms to form distorted FeY2Fe10 cuboctahedra that share corners with sixteen FeY2Fe10 cuboctahedra, edges with four FeY2Fe10 cuboctahedra, faces with twelve FeY2Fe10 cuboctahedra, and faces with three CY2Fe4 octahedra. There are one shorter (2.46 Å) and three longer (2.47 Å) Fe–Fe bond lengths. In the thirteenth Fe site, Fe is bonded to three equivalent Y and nine Fe atoms to form FeY3Fe9 cuboctahedra that share corners with thirteen FeY2Fe10 cuboctahedra, corners with four CY2Fe4 octahedra, edges with four FeY2Fe10 cuboctahedra, faces with eight FeY2Fe10 cuboctahedra, and faces with two CY2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 63–69°. There are one shorter (2.54 Å) and one longer (2.55 Å) Fe–Fe bond lengths. In the fourteenth Fe site, Fe is bonded to three equivalent Y and nine Fe atoms to form FeY3Fe9 cuboctahedra that share corners with fifteen FeY2Fe10 cuboctahedra, corners with two equivalent CY2Fe4 octahedra, edges with seven FeY2Fe10 cuboctahedra, faces with fourteen FeY2Fe10 cuboctahedra, and a faceface with one CY2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 65–69°. There are one shorter (2.52 Å) and one longer (2.54 Å) Fe–Fe bond lengths. In the fifteenth Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. The Fe–C bond length is 1.91 Å. In the sixteenth Fe site, Fe is bonded in a single-bond geometry to seven Fe and one C atom. The Fe–Fe bond length is 2.56 Å. The Fe–C bond length is 1.91 Å. In the seventeenth Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. The Fe–C bond length is 1.91 Å. In the eighteenth Fe site, Fe is bonded to three equivalent Y and nine Fe atoms to form FeY3Fe9 cuboctahedra that share corners with sixteen FeY2Fe10 cuboctahedra, corners with two equivalent CY2Fe4 octahedra, edges with seven FeY2Fe10 cuboctahedra, faces with thirteen FeY2Fe10 cuboctahedra, and a faceface with one CY2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 66–70°. There are two inequivalent C sites. In the first C site, C is bonded to two Y and four Fe atoms to form CY2Fe4 octahedra that share corners with fourteen FeY2Fe10 cuboctahedra, a cornercorner with one CY2Fe4 octahedra, edges with three FeY2Fe10 cuboctahedra, and faces with seven FeY2Fe10 cuboctahedra. The corner-sharing octahedral tilt angles are 63°. In the second C site, C is bonded to two equivalent Y and four Fe atoms to form CY2Fe4 octahedra that share corners with ten FeY2Fe10 cuboctahedra, corners with two equivalent CY2Fe4 octahedra, edges with two equivalent FeY2Fe10 cuboctahedra, and faces with six FeY2Fe10 cuboctahedra. The corner-sharing octahedral tilt angles are 63°.

36 MATERIALS SCIENCE↗

Materials Data on Sr5Fe4MoO15 by Materials Project

Sr5MoFe4O15 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent MoO6 octahedra, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.87 Å. In the second Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent MoO6 octahedra, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.79–2.81 Å. In the third Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one MoO6 octahedra, and faces with seven FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.75–2.88 Å. Mo is bonded to six O atoms to form MoO6 octahedra that share corners with six FeO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There is two shorter (1.93 Å) and four longer (1.94 Å) Mo–O bond length. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with four FeO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.95–2.06 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five FeO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.96–2.08 Å. There are six inequivalent O sites. In the first O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–64°. In the second O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. In the third O site, O is bonded to four Sr, one Mo, and one Fe atom to form a mixture of distorted corner, edge, and face-sharing OSr4FeMo octahedra. The corner-sharing octahedra tilt angles range from 0–64°. In the fourth O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 3–63°. In the fifth O site, O is bonded to four Sr, one Mo, and one Fe atom to form a mixture of distorted corner, edge, and face-sharing OSr4FeMo octahedra. The corner-sharing octahedra tilt angles range from 0–63°. In the sixth O site, O is bonded in a distorted linear geometry to four Sr and two equivalent Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr6S3(OF4)2 by Materials Project

Pr6S3(OF4)2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded in a 5-coordinate geometry to four S2-, two equivalent O2-, and three F1- atoms. There are two shorter (3.07 Å) and two longer (3.16 Å) Pr–S bond lengths. Both Pr–O bond lengths are 2.45 Å. There are a spread of Pr–F bond distances ranging from 2.41–2.56 Å. In the second Pr3+ site, Pr3+ is bonded in a 5-coordinate geometry to four S2-, three O2-, and two F1- atoms. There are two shorter (3.11 Å) and two longer (3.28 Å) Pr–S bond lengths. There are one shorter (2.41 Å) and two longer (2.42 Å) Pr–O bond lengths. There are one shorter (2.46 Å) and one longer (2.57 Å) Pr–F bond lengths. In the third Pr3+ site, Pr3+ is bonded in a 5-coordinate geometry to four S2-, two equivalent O2-, and three F1- atoms. There are two shorter (3.07 Å) and two longer (3.13 Å) Pr–S bond lengths. Both Pr–O bond lengths are 2.46 Å. There are a spread of Pr–F bond distances ranging from 2.42–2.54 Å. In the fourth Pr3+ site, Pr3+ is bonded in a 9-coordinate geometry to four S2-, one O2-, and four F1- atoms. There are two shorter (2.95 Å) and two longer (3.14 Å) Pr–S bond lengths. The Pr–O bond length is 2.41 Å. There are a spread of Pr–F bond distances ranging from 2.38–2.60 Å. In the fifth Pr3+ site, Pr3+ is bonded in a 5-coordinate geometry to four S2-, three O2-, and two F1- atoms. There are two shorter (3.15 Å) and two longer (3.25 Å) Pr–S bond lengths. All Pr–O bond lengths are 2.39 Å. There are one shorter (2.45 Å) and one longer (2.54 Å) Pr–F bond lengths. In the sixth Pr3+ site, Pr3+ is bonded in a 9-coordinate geometry to four S2-, one O2-, and four F1- atoms. There are two shorter (3.01 Å) and two longer (3.07 Å) Pr–S bond lengths. The Pr–O bond length is 2.41 Å. There are a spread of Pr–F bond distances ranging from 2.37–2.61 Å. In the seventh Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to two equivalent S2- and seven F1- atoms. Both Pr–S bond lengths are 3.00 Å. There are a spread of Pr–F bond distances ranging from 2.40–2.50 Å. In the eighth Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to two equivalent S2- and seven F1- atoms. Both Pr–S bond lengths are 2.98 Å. There are a spread of Pr–F bond distances ranging from 2.42–2.53 Å. In the ninth Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to two equivalent S2-, one O2-, and six F1- atoms. Both Pr–S bond lengths are 3.01 Å. The Pr–O bond length is 2.37 Å. There are a spread of Pr–F bond distances ranging from 2.46–2.52 Å. In the tenth Pr3+ site, Pr3+ is bonded in a 9-coordinate geometry to two equivalent S2-, one O2-, and six F1- atoms. Both Pr–S bond lengths are 3.03 Å. The Pr–O bond length is 2.40 Å. There are a spread of Pr–F bond distances ranging from 2.45–2.56 Å. In the eleventh Pr3+ site, Pr3+ is bonded in a 9-coordinate geometry to two equivalent S2-, one O2-, and six F1- atoms. Both Pr–S bond lengths are 2.98 Å. The Pr–O bond length is 2.40 Å. There are a spread of Pr–F bond distances ranging from 2.48–2.50 Å. In the twelfth Pr3+ site, Pr3+ is bonded in a 9-coordinate geometry to two equivalent S2-, one O2-, and six F1- atoms. Both Pr–S bond lengths are 2.99 Å. The Pr–O bond length is 2.35 Å. There are a spread of Pr–F bond distances ranging from 2.48–2.54 Å. There are six inequivalent S2- sites. In the first S2- site, S2- is bonded in a 8-coordinate geometry to six Pr3+, three O2-, and seven F1- atoms. There are two shorter (3.34 Å) and one longer (3.54 Å) S–O bond lengths. There are a spread of S–F bond distances ranging from 3.09–3.44 Å. In the second S2- site, S2- is bonded in a 8-coordinate geometry to six Pr3+, two equivalent O2-, and eight F1- atoms. Both S–O bond lengths are 3.30 Å. There are a spread of S–F bond distances ranging from 3.10–3.49 Å. In the third S2- site, S2- is bonded in a 6-coordinate geometry to six Pr3+, three O2-, and seven F1- atoms. There are two shorter (3.27 Å) and one longer (3.38 Å) S–O bond lengths. There are a spread of S–F bond distances ranging from 3.07–3.41 Å. In the fourth S2- site, S2- is bonded in a 8-coordinate geometry to six Pr3+, four O2-, and six F1- atoms. There are a spread of S–O bond distances ranging from 3.28–3.50 Å. There are a spread of S–F bond distances ranging from 3.13–3.42 Å. In the fifth S2- site, S2- is bonded in a 8-coordinate geometry to six Pr3+, two O2-, and eight F1- atoms. There are one shorter (3.40 Å) and one longer (3.43 Å) S–O bond lengths. There are a spread of S–F bond distances ranging from 3.15–3.24 Å. In the sixth S2- site, S2- is bonded in a 6-coordinate geometry to six Pr3+, two O2-, and eight F1- atoms. There are one shorter (3.35 Å) and one longer (3.41 Å) S–O bond lengths. There are a spread of S–F bond distances ranging from 3.17–3.28 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pr3+ and four S2- atoms to form OPr4S4 tetrahedra that share corners with four OPr4S4 tetrahedra, corners with seven FPr4S4 tetrahedra, an edgeedge with one FPr4S3 tetrahedra, edges with two equivalent OPr4S4 tetrahedra, faces with two equivalent OPr4S4 tetrahedra, and faces with three FPr4S3 tetrahedra. In the second O2- site, O2- is bonded to four Pr3+ and four S2- atoms to form OPr4S4 tetrahedra that share corners with four OPr4S4 tetrahedra, corners with seven FPr4S3 tetrahedra, an edgeedge with one FPr4S3 tetrahedra, edges with two equivalent OPr4S4 tetrahedra, and faces with five FPr4S4 tetrahedra. In the third O2- site, O2- is bonded to four Pr3+ and four S2- atoms to form OPr4S4 tetrahedra that share corners with four OPr4S4 tetrahedra, corners with seven FPr4S3 tetrahedra, an edgeedge with one FPr4S3 tetrahedra, edges with two equivalent OPr4S4 tetrahedra, and faces with five FPr4S3 tetrahedra. In the fourth O2- site, O2- is bonded to four Pr3+ and four S2- atoms to form distorted OPr4S4 tetrahedra that share corners with two OPr4S4 tetrahedra, corners with nine FPr4S3 tetrahedra, an edgeedge with one FPr4S3 tetrahedra, edges with two equivalent OPr4S4 tetrahedra, faces with two equivalent OPr4S4 tetrahedra, and faces with three FPr4S3 tetrahedra. There are sixteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to three Pr3+ and one S2- atom. In the second F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to three Pr3+ and one S2- atom. In the third F1- site, F1- is bonded in a trigonal non-coplanar geometry to three Pr3+ and one S2- atom. In the fourth F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to three Pr3+ and one S2- atom. In the fifth F1- site, F1- is bonded in a trigonal non-coplanar geometry to three Pr3+ and one S2- atom. In the sixth F1- site, F1- is bonded in a trigonal non-coplanar geometry to three Pr3+ and one S2- atom. In the seventh F1- site, F1- is bonded to four Pr3+ and three S2- atoms to form distorted FPr4S3 tetrahedra that share corners with two equivalent FPr4S4 tetrahedra, corners with three OPr4S4 tetrahedra, edges with seven FPr4S3 tetrahedra, a faceface with one FPr4S4 tetrahedra, and faces with two equivalent OPr4S4 tetrahedra. In the eighth F1- site, F1- is bonded to four Pr3+ and three S2- atoms to form distorted FPr4S3 tetrahedra that share corners with two equivalent OPr4S4 tetrahedra, corners with three FPr4S4 tetrahedra, an edgeedge with one OPr4S4 tetrahedra, edges with six FPr4S3 tetrahedra, a faceface with one FPr4S4 tetrahedra, and faces with two equivalent OPr4S4 tetrahedra. In the ninth F1- site, F1- is bonded to four Pr3+ and three S2- atoms to form FPr4S3 tetrahedra that share a cornercorner with one FPr4S4 tetrahedra, corners with four OPr4S4 tetrahedra, edges with seven FPr4S3 tetrahedra, and faces with three OPr4S4 tetrahedra. In the tenth F1- site, F1- is bonded to four Pr3+ and three S2- atoms to form FPr4S3 tetrahedra that share corners with two equivalent FPr4S4 tetrahedra, corners with three OPr4S4 tetrahedra, an edgeedge with one OPr4S4 tetrahedra, edges with six FPr4S3 tetrahedra, a faceface with one OPr4S4 tetrahedra, and faces with two equivalent FPr4S4 tetrahedra. In the eleventh F1- site, F1- is bonded to four Pr3+ and three S2- atoms to form distorted FPr4S3 tetrahedra that share corners with two equivalent FPr4S4 tetrahedra, corners with three OPr4S4 tetrahedra, an edgeedge with one OPr4S4 tetrahedra, edges with six FPr4S3 tetrahedra, and faces with three OPr4S4 tetrahedra. In the twelfth F1- site, F1- is bonded to four Pr3+ and three S2- atoms to form distorted FPr4S3 tetrahedra that share corners with five OPr4S4 tetrahedra, an edgeedge with one OPr4S4 tetrahedra, edges with six FPr4S3 tetrahedra, a faceface with one OPr4S4 tetrahedra, and faces with two equivalent FPr4S4 tetrahedra. In the thirteenth F1- site, F1- is bonded in a trigonal planar geometry to three Pr3+ and six S2- atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Pr3+ and six S2- atoms. In the fifteenth F1- site, F1- is bonded to four Pr3+ and four S2- atoms to form FPr4S4 tetrahedra that share corners with five OPr4S4 tetrahedra, corners with six FPr4S4 tetrahedra, edges with three FPr4S4 tetrahedra, faces with two equivalent OPr4S4 tetrahedra, and faces with three FPr4S3 tetrahedra. In the sixteenth F1- site, F1- is bonded to four Pr3+ and four S2- atoms to form FPr4S4 tetrahedra that share corners with five OPr4S4 tetrahedra, corners with six FPr4S3 tetrahedra, edges with three FPr4S4 tetrahedra, faces with two equivalent OPr4S4 tetrahedra, and faces with three FPr4S3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ho2Ga4Fe13C2 by Materials Project

Ho2Fe13Ga4C2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ho sites. In the first Ho site, Ho is bonded in a distorted bent 120 degrees geometry to seven Fe, two equivalent Ga, and two C atoms. There are a spread of Ho–Fe bond distances ranging from 3.12–3.36 Å. There are one shorter (3.12 Å) and one longer (3.50 Å) Ho–Ga bond lengths. There are one shorter (2.46 Å) and one longer (2.49 Å) Ho–C bond lengths. In the second Ho site, Ho is bonded in a distorted bent 120 degrees geometry to eight Fe, one Ga, and two C atoms. There are a spread of Ho–Fe bond distances ranging from 3.09–3.51 Å. The Ho–Ga bond length is 3.17 Å. There are one shorter (2.48 Å) and one longer (2.53 Å) Ho–C bond lengths. There are thirteen inequivalent Fe sites. In the first Fe site, Fe is bonded in a single-bond geometry to five Fe, one Ga, and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.49–2.78 Å. The Fe–Ga bond length is 2.61 Å. The Fe–C bond length is 1.84 Å. In the second Fe site, Fe is bonded in a single-bond geometry to six Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.46–2.78 Å. The Fe–C bond length is 1.86 Å. In the third Fe site, Fe is bonded to two Ho, eight Fe, and two Ga atoms to form distorted FeHo2Ga2Fe8 cuboctahedra that share a cornercorner with one GaHo3GaFe8 cuboctahedra, corners with seven FeHo2Ga3Fe7 cuboctahedra, corners with four CHo2GaFe3 octahedra, edges with three FeHo2Ga3Fe7 cuboctahedra, edges with two CHo2GaFe3 octahedra, faces with two equivalent GaHo3GaFe8 cuboctahedra, and faces with seven FeHo2Ga3Fe7 cuboctahedra. The corner-sharing octahedra tilt angles range from 23–31°. There are a spread of Fe–Fe bond distances ranging from 2.44–2.73 Å. There are one shorter (2.53 Å) and one longer (2.61 Å) Fe–Ga bond lengths. In the fourth Fe site, Fe is bonded in a single-bond geometry to five Fe, one Ga, and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.46–2.77 Å. The Fe–Ga bond length is 2.70 Å. The Fe–C bond length is 1.85 Å. In the fifth Fe site, Fe is bonded to two Ho, seven Fe, and three Ga atoms to form distorted FeHo2Ga3Fe7 cuboctahedra that share a cornercorner with one GaHo3GaFe8 cuboctahedra, corners with seven FeHo2Ga2Fe8 cuboctahedra, corners with four CHo2GaFe3 octahedra, edges with three FeHo2Ga2Fe8 cuboctahedra, edges with two CHo2GaFe3 octahedra, faces with two equivalent GaHo3GaFe8 cuboctahedra, and faces with seven FeHo2Ga2Fe8 cuboctahedra. The corner-sharing octahedra tilt angles range from 23–29°. There are a spread of Fe–Fe bond distances ranging from 2.46–2.75 Å. There are two shorter (2.52 Å) and one longer (2.67 Å) Fe–Ga bond lengths. In the sixth Fe site, Fe is bonded in a single-bond geometry to six Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.47–2.79 Å. The Fe–C bond length is 1.83 Å. In the seventh Fe site, Fe is bonded in a 1-coordinate geometry to one Ho, ten Fe, and three Ga atoms. There are a spread of Fe–Fe bond distances ranging from 2.37–2.72 Å. There are a spread of Fe–Ga bond distances ranging from 2.64–2.68 Å. In the eighth Fe site, Fe is bonded in a 3-coordinate geometry to one Ho, twelve Fe, and one Ga atom. There are a spread of Fe–Fe bond distances ranging from 2.57–2.70 Å. The Fe–Ga bond length is 2.57 Å. In the ninth Fe site, Fe is bonded to two Ho, seven Fe, and three Ga atoms to form distorted FeHo2Ga3Fe7 cuboctahedra that share a cornercorner with one GaHo3GaFe8 cuboctahedra, corners with seven FeHo2Ga2Fe8 cuboctahedra, corners with two equivalent CHo2GaFe3 octahedra, an edgeedge with one GaHo3GaFe8 cuboctahedra, edges with three FeHo2Ga2Fe8 cuboctahedra, a faceface with one GaHo3GaFe8 cuboctahedra, faces with seven FeHo2Ga2Fe8 cuboctahedra, and faces with two equivalent CHo2Ga2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 40–44°. The Fe–Fe bond length is 2.41 Å. There are one shorter (2.47 Å) and two longer (2.50 Å) Fe–Ga bond lengths. In the tenth Fe site, Fe is bonded to two Ho, eight Fe, and two Ga atoms to form distorted FeHo2Ga2Fe8 cuboctahedra that share a cornercorner with one GaHo3GaFe8 cuboctahedra, corners with seven FeHo2Ga2Fe8 cuboctahedra, corners with two equivalent CHo2Ga2Fe2 octahedra, an edgeedge with one GaHo3GaFe8 cuboctahedra, edges with three FeHo2Ga2Fe8 cuboctahedra, a faceface with one GaHo3GaFe8 cuboctahedra, faces with seven FeHo2Ga2Fe8 cuboctahedra, and faces with two equivalent CHo2GaFe3 octahedra. The corner-sharing octahedra tilt angles range from 42–43°. Both Fe–Fe bond lengths are 2.42 Å. There are one shorter (2.45 Å) and one longer (2.47 Å) Fe–Ga bond lengths. In the eleventh Fe site, Fe is bonded to two Ho, seven Fe, and three Ga atoms to form distorted FeHo2Ga3Fe7 cuboctahedra that share corners with three equivalent GaHo3GaFe8 cuboctahedra, corners with eleven FeHo2Ga2Fe8 cuboctahedra, an edgeedge with one FeHo3Ga2Fe7 cuboctahedra, an edgeedge with one GaHo3GaFe8 cuboctahedra, a faceface with one GaHo3GaFe8 cuboctahedra, faces with nine FeHo2Ga2Fe8 cuboctahedra, and faces with four CHo2GaFe3 octahedra. The Fe–Fe bond length is 2.42 Å. There are a spread of Fe–Ga bond distances ranging from 2.47–2.52 Å. In the twelfth Fe site, Fe is bonded to three Ho, seven Fe, and two Ga atoms to form distorted FeHo3Ga2Fe7 cuboctahedra that share corners with two equivalent GaHo3GaFe8 cuboctahedra, corners with nine FeHo2Ga2Fe8 cuboctahedra, corners with four CHo2GaFe3 octahedra, an edgeedge with one GaHo3GaFe8 cuboctahedra, edges with three FeHo2Ga3Fe7 cuboctahedra, a faceface with one GaHo3GaFe8 cuboctahedra, faces with seven FeHo2Ga2Fe8 cuboctahedra, and faces with two CHo2GaFe3 octahedra. The corner-sharing octahedra tilt angles range from 65–69°. There are one shorter (2.54 Å) and one longer (2.56 Å) Fe–Ga bond lengths. In the thirteenth Fe site, Fe is bonded in a single-bond geometry to four Fe, one Ga, and one C atom. The Fe–Ga bond length is 2.54 Å. The Fe–C bond length is 1.86 Å. There are four inequivalent Ga sites. In the first Ga site, Ga is bonded in a single-bond geometry to four Fe, one Ga, and one C atom. The Ga–Ga bond length is 2.64 Å. The Ga–C bond length is 2.08 Å. In the second Ga site, Ga is bonded to three Ho, eight Fe, and one Ga atom to form distorted GaHo3GaFe8 cuboctahedra that share corners with two equivalent GaHo3GaFe8 cuboctahedra, corners with nine FeHo2Ga2Fe8 cuboctahedra, corners with four CHo2GaFe3 octahedra, edges with four FeHo2Ga3Fe7 cuboctahedra, faces with eight FeHo2Ga2Fe8 cuboctahedra, and faces with two CHo2GaFe3 octahedra. The corner-sharing octahedra tilt angles range from 63–67°. In the third Ga site, Ga is bonded in a single-bond geometry to five Fe and one C atom. The Ga–C bond length is 2.16 Å. In the fourth Ga site, Ga is bonded in a single-bond geometry to five Fe and one C atom. The Ga–C bond length is 2.11 Å. There are two inequivalent C sites. In the first C site, C is bonded to two Ho, three Fe, and one Ga atom to form CHo2GaFe3 octahedra that share corners with two equivalent GaHo3GaFe8 cuboctahedra, corners with eight FeHo2Ga2Fe8 cuboctahedra, corners with two equivalent CHo2Ga2Fe2 octahedra, edges with two FeHo2Ga2Fe8 cuboctahedra, a faceface with one GaHo3GaFe8 cuboctahedra, and faces with five FeHo2Ga3Fe7 cuboctahedra. The corner-sharing octahedral tilt angles are 61°. In the second C site, C is bonded to two Ho, two Fe, and two Ga atoms to form CHo2Ga2Fe2 octahedra that share corners with two equivalent GaHo3GaFe8 cuboctahedra, corners with eight FeHo2Ga2Fe8 cuboctahedra, corners with two equivalent CHo2GaFe3 octahedra, edges with two FeHo2Ga2Fe8 cuboctahedra, a faceface with one GaHo3GaFe8 cuboctahedra, and faces with five FeHo2Ga3Fe7 cuboctahedra. The corner-sharing octahedral tilt angles are 61°.

36 MATERIALS SCIENCE↗

Materials Data on Al2VNi9 by Materials Project

VNi9Al2 is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. V is bonded to twelve Ni atoms to form VNi12 cuboctahedra that share corners with four equivalent VNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiAl4Ni8 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, faces with four equivalent VNi12 cuboctahedra, and faces with twelve NiV4Ni8 cuboctahedra. There are eight shorter (2.48 Å) and four longer (2.51 Å) V–Ni bond lengths. There are five inequivalent Ni sites. In the first Ni site, Ni is bonded to four equivalent V and eight equivalent Ni atoms to form NiV4Ni8 cuboctahedra that share corners with twelve NiV4Ni8 cuboctahedra, edges with eight equivalent AlNi12 cuboctahedra, edges with sixteen equivalent NiAl2V2Ni8 cuboctahedra, faces with four equivalent VNi12 cuboctahedra, and faces with fourteen NiV4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.48 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 NiV4Ni8 cuboctahedra, edges with four equivalent VNi12 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with sixteen NiAl2V2Ni8 cuboctahedra, faces with four equivalent AlNi12 cuboctahedra, and faces with fourteen NiV4Ni8 cuboctahedra. There are four shorter (2.51 Å) and four longer (2.53 Å) Ni–Ni bond lengths. All Ni–Al bond lengths are 2.51 Å. In the third Ni site, Ni is bonded to two equivalent V, eight Ni, and two equivalent Al atoms to form NiAl2V2Ni8 cuboctahedra that share corners with twelve NiAl2V2Ni8 cuboctahedra, edges with four equivalent VNi12 cuboctahedra, edges with four equivalent AlNi12 cuboctahedra, edges with sixteen NiV4Ni8 cuboctahedra, faces with two equivalent VNi12 cuboctahedra, faces with two equivalent AlNi12 cuboctahedra, and faces with fourteen NiV4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.51 Å. Both Ni–Al bond lengths are 2.55 Å. In the fourth Ni site, Ni is bonded to eight Ni and four equivalent Al atoms to form NiAl4Ni8 cuboctahedra that share corners with twelve NiAl2V2Ni8 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 2.49 Å. In the fifth 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–Al bond lengths are 2.49 Å. Al is bonded to twelve Ni atoms to form AlNi12 cuboctahedra that share corners with four equivalent VNi12 cuboctahedra, corners with eight equivalent AlNi12 cuboctahedra, edges with twenty-four NiV4Ni8 cuboctahedra, a faceface with one VNi12 cuboctahedra, faces with five equivalent AlNi12 cuboctahedra, and faces with twelve NiAl4Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Nd6S3(OF4)2 by Materials Project

Nd6S3(OF4)2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to two equivalent S2- and seven F1- atoms. Both Nd–S bond lengths are 2.97 Å. There are a spread of Nd–F bond distances ranging from 2.37–2.48 Å. In the second Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to two equivalent S2- and seven F1- atoms. Both Nd–S bond lengths are 2.95 Å. There are a spread of Nd–F bond distances ranging from 2.39–2.50 Å. In the third Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to two equivalent S2-, one O2-, and six F1- atoms. Both Nd–S bond lengths are 2.98 Å. The Nd–O bond length is 2.35 Å. There are a spread of Nd–F bond distances ranging from 2.44–2.50 Å. In the fourth Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to two equivalent S2-, one O2-, and six F1- atoms. Both Nd–S bond lengths are 3.00 Å. The Nd–O bond length is 2.38 Å. There are a spread of Nd–F bond distances ranging from 2.42–2.53 Å. In the fifth Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to two equivalent S2-, one O2-, and six F1- atoms. Both Nd–S bond lengths are 2.96 Å. The Nd–O bond length is 2.38 Å. There are a spread of Nd–F bond distances ranging from 2.45–2.47 Å. In the sixth Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to two equivalent S2-, one O2-, and six F1- atoms. Both Nd–S bond lengths are 2.96 Å. The Nd–O bond length is 2.32 Å. There are a spread of Nd–F bond distances ranging from 2.45–2.52 Å. In the seventh Nd3+ site, Nd3+ is bonded in a 5-coordinate geometry to four S2-, two equivalent O2-, and three F1- atoms. There are two shorter (3.04 Å) and two longer (3.12 Å) Nd–S bond lengths. Both Nd–O bond lengths are 2.42 Å. There are a spread of Nd–F bond distances ranging from 2.39–2.53 Å. In the eighth Nd3+ site, Nd3+ is bonded in a 5-coordinate geometry to four S2-, three O2-, and two F1- atoms. There are two shorter (3.07 Å) and two longer (3.25 Å) Nd–S bond lengths. There are one shorter (2.38 Å) and two longer (2.39 Å) Nd–O bond lengths. There are one shorter (2.45 Å) and one longer (2.55 Å) Nd–F bond lengths. In the ninth Nd3+ site, Nd3+ is bonded in a 5-coordinate geometry to four S2-, two equivalent O2-, and three F1- atoms. There are two shorter (3.04 Å) and two longer (3.10 Å) Nd–S bond lengths. Both Nd–O bond lengths are 2.44 Å. There are a spread of Nd–F bond distances ranging from 2.40–2.52 Å. In the tenth Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to four S2-, one O2-, and four F1- atoms. There are two shorter (2.92 Å) and two longer (3.11 Å) Nd–S bond lengths. The Nd–O bond length is 2.39 Å. There are a spread of Nd–F bond distances ranging from 2.36–2.57 Å. In the eleventh Nd3+ site, Nd3+ is bonded in a 5-coordinate geometry to four S2-, three O2-, and two F1- atoms. There are two shorter (3.11 Å) and two longer (3.22 Å) Nd–S bond lengths. There are two shorter (2.36 Å) and one longer (2.37 Å) Nd–O bond lengths. There are one shorter (2.43 Å) and one longer (2.51 Å) Nd–F bond lengths. In the twelfth Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to four S2-, one O2-, and four F1- atoms. There are two shorter (2.98 Å) and two longer (3.03 Å) Nd–S bond lengths. The Nd–O bond length is 2.38 Å. There are a spread of Nd–F bond distances ranging from 2.35–2.58 Å. There are six inequivalent S2- sites. In the first S2- site, S2- is bonded in a 8-coordinate geometry to six Nd3+, three O2-, and seven F1- atoms. There are two shorter (3.30 Å) and one longer (3.50 Å) S–O bond lengths. There are a spread of S–F bond distances ranging from 3.06–3.40 Å. In the second S2- site, S2- is bonded in a 8-coordinate geometry to six Nd3+, two equivalent O2-, and eight F1- atoms. Both S–O bond lengths are 3.26 Å. There are a spread of S–F bond distances ranging from 3.06–3.45 Å. In the third S2- site, S2- is bonded in a 6-coordinate geometry to six Nd3+, three O2-, and seven F1- atoms. There are two shorter (3.24 Å) and one longer (3.34 Å) S–O bond lengths. There are a spread of S–F bond distances ranging from 3.04–3.37 Å. In the fourth S2- site, S2- is bonded in a 8-coordinate geometry to six Nd3+, four O2-, and six F1- atoms. There are a spread of S–O bond distances ranging from 3.25–3.46 Å. There are a spread of S–F bond distances ranging from 3.09–3.39 Å. In the fifth S2- site, S2- is bonded in a 8-coordinate geometry to six Nd3+, two O2-, and eight F1- atoms. There are one shorter (3.37 Å) and one longer (3.40 Å) S–O bond lengths. There are a spread of S–F bond distances ranging from 3.11–3.21 Å. In the sixth S2- site, S2- is bonded in a 6-coordinate geometry to six Nd3+, two O2-, and eight F1- atoms. There are one shorter (3.31 Å) and one longer (3.38 Å) S–O bond lengths. There are a spread of S–F bond distances ranging from 3.13–3.25 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Nd3+ and four S2- atoms to form ONd4S4 tetrahedra that share corners with four ONd4S4 tetrahedra, corners with seven FNd4S3 tetrahedra, an edgeedge with one FNd4S3 tetrahedra, edges with two equivalent ONd4S4 tetrahedra, faces with two equivalent ONd4S4 tetrahedra, and faces with three FNd4S3 tetrahedra. In the second O2- site, O2- is bonded to four Nd3+ and four S2- atoms to form ONd4S4 tetrahedra that share corners with four ONd4S4 tetrahedra, corners with seven FNd4S3 tetrahedra, an edgeedge with one FNd4S3 tetrahedra, edges with two equivalent ONd4S4 tetrahedra, and faces with five FNd4S3 tetrahedra. In the third O2- site, O2- is bonded to four Nd3+ and four S2- atoms to form ONd4S4 tetrahedra that share corners with four ONd4S4 tetrahedra, corners with seven FNd4S3 tetrahedra, an edgeedge with one FNd4S3 tetrahedra, edges with two equivalent ONd4S4 tetrahedra, and faces with five FNd4S3 tetrahedra. In the fourth O2- site, O2- is bonded to four Nd3+ and four S2- atoms to form distorted ONd4S4 tetrahedra that share corners with two ONd4S4 tetrahedra, corners with nine FNd4S3 tetrahedra, an edgeedge with one FNd4S3 tetrahedra, edges with two equivalent ONd4S4 tetrahedra, faces with two equivalent ONd4S4 tetrahedra, and faces with three FNd4S3 tetrahedra. There are sixteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a trigonal planar geometry to three Nd3+ and six S2- atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Nd3+ and six S2- atoms. In the third F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to three Nd3+ and one S2- atom. In the fourth F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to three Nd3+ and one S2- atom. In the fifth F1- site, F1- is bonded in a trigonal non-coplanar geometry to three Nd3+ and one S2- atom. In the sixth F1- site, F1- is bonded in a trigonal non-coplanar geometry to three Nd3+ and one S2- atom. In the seventh F1- site, F1- is bonded in a trigonal non-coplanar geometry to three Nd3+ and one S2- atom. In the eighth F1- site, F1- is bonded in a trigonal non-coplanar geometry to three Nd3+ and one S2- atom. In the ninth F1- site, F1- is bonded to four Nd3+ and three S2- atoms to form distorted FNd4S3 tetrahedra that share corners with two equivalent FNd4S4 tetrahedra, corners with three ONd4S4 tetrahedra, edges with seven FNd4S3 tetrahedra, a faceface with one FNd4S4 tetrahedra, and faces with two equivalent ONd4S4 tetrahedra. In the tenth F1- site, F1- is bonded to four Nd3+ and three S2- atoms to form distorted FNd4S3 tetrahedra that share corners with two equivalent ONd4S4 tetrahedra, corners with three FNd4S4 tetrahedra, an edgeedge with one ONd4S4 tetrahedra, edges with six FNd4S3 tetrahedra, a faceface with one FNd4S4 tetrahedra, and faces with two equivalent ONd4S4 tetrahedra. In the eleventh F1- site, F1- is bonded to four Nd3+ and three S2- atoms to form FNd4S3 tetrahedra that share a cornercorner with one FNd4S4 tetrahedra, corners with four ONd4S4 tetrahedra, edges with seven FNd4S3 tetrahedra, and faces with three ONd4S4 tetrahedra. In the twelfth F1- site, F1- is bonded to four Nd3+ and three S2- atoms to form FNd4S3 tetrahedra that share corners with two equivalent FNd4S4 tetrahedra, corners with three ONd4S4 tetrahedra, an edgeedge with one ONd4S4 tetrahedra, edges with six FNd4S3 tetrahedra, a faceface with one ONd4S4 tetrahedra, and faces with two equivalent FNd4S4 tetrahedra. In the thirteenth F1- site, F1- is bonded to four Nd3+ and three S2- atoms to form distorted FNd4S3 tetrahedra that share corners with two equivalent FNd4S4 tetrahedra, corners with three ONd4S4 tetrahedra, an edgeedge with one ONd4S4 tetrahedra, edges with six FNd4S3 tetrahedra, and faces with three ONd4S4 tetrahedra. In the fourteenth F1- site, F1- is bonded to four Nd3+ and three S2- atoms to form distorted FNd4S3 tetrahedra that share corners with five ONd4S4 tetrahedra, an edgeedge with one ONd4S4 tetrahedra, edges with six FNd4S3 tetrahedra, a faceface with one ONd4S4 tetrahedra, and faces with two equivalent FNd4S4 tetrahedra. In the fifteenth F1- site, F1- is bonded to four Nd3+ and four S2- atoms to form FNd4S4 tetrahedra that share corners with five ONd4S4 tetrahedra, corners with six FNd4S3 tetrahedra, edges with three FNd4S3 tetrahedra, faces with two equivalent ONd4S4 tetrahedra, and faces with three FNd4S3 tetrahedra. In the sixteenth F1- site, F1- is bonded to four Nd3+ and four S2- atoms to form distorted FNd4S4 tetrahedra that share corners with five ONd4S4 tetrahedra, corners with six FNd4S3 tetrahedra, edges with three FNd4S4 tetrahedra, faces with two equivalent ONd4S4 tetrahedra, and faces with three FNd4S3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on K4BaTi6S20O by Materials Project

K4BaTi6S20O crystallizes in the orthorhombic Fdd2 space group. The structure is three-dimensional. there are four inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve S+1.40- atoms to form distorted KS12 cuboctahedra that share corners with four TiS6O pentagonal bipyramids, edges with four KS12 cuboctahedra, edges with two equivalent TiS6O pentagonal bipyramids, faces with two equivalent KS12 cuboctahedra, faces with two equivalent BaS12 cuboctahedra, and faces with four TiS6O pentagonal bipyramids. There are a spread of K–S bond distances ranging from 3.30–3.73 Å. In the second K1+ site, K1+ is bonded in a 12-coordinate geometry to twelve S+1.40- atoms. There are a spread of K–S bond distances ranging from 3.27–3.74 Å. In the third K1+ site, K1+ is bonded to twelve S+1.40- atoms to form distorted KS12 cuboctahedra that share corners with four equivalent TiS6O pentagonal bipyramids, edges with three equivalent KS12 cuboctahedra, edges with two equivalent TiS6O pentagonal bipyramids, faces with two equivalent KS12 cuboctahedra, faces with two equivalent BaS12 cuboctahedra, and faces with four TiS6O pentagonal bipyramids. There are a spread of K–S bond distances ranging from 3.29–3.75 Å. In the fourth K1+ site, K1+ is bonded to twelve S+1.40- atoms to form KS12 cuboctahedra that share corners with six TiS6O pentagonal bipyramids, an edgeedge with one KS12 cuboctahedra, edges with two equivalent BaS12 cuboctahedra, faces with four KS12 cuboctahedra, and faces with six TiS6O pentagonal bipyramids. There are a spread of K–S bond distances ranging from 3.32–3.56 Å. Ba2+ is bonded to twelve S+1.40- atoms to form BaS12 cuboctahedra that share corners with six TiS6O pentagonal bipyramids, edges with two equivalent KS12 cuboctahedra, faces with four KS12 cuboctahedra, and faces with six TiS6O pentagonal bipyramids. There are a spread of Ba–S bond distances ranging from 3.33–3.55 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six S+1.40- and one O2- atom to form distorted TiS6O pentagonal bipyramids that share a cornercorner with one BaS12 cuboctahedra, corners with three KS12 cuboctahedra, a cornercorner with one TiS6O pentagonal bipyramid, an edgeedge with one KS12 cuboctahedra, a faceface with one BaS12 cuboctahedra, faces with two KS12 cuboctahedra, and faces with four TiS6O pentagonal bipyramids. There are a spread of Ti–S bond distances ranging from 2.37–2.56 Å. The Ti–O bond length is 2.32 Å. In the second Ti4+ site, Ti4+ is bonded to six S+1.40- and one O2- atom to form distorted TiS6O pentagonal bipyramids that share a cornercorner with one BaS12 cuboctahedra, corners with two KS12 cuboctahedra, a cornercorner with one TiS6O pentagonal bipyramid, an edgeedge with one KS12 cuboctahedra, a faceface with one BaS12 cuboctahedra, faces with two KS12 cuboctahedra, and faces with four TiS6O pentagonal bipyramids. There are a spread of Ti–S bond distances ranging from 2.38–2.57 Å. The Ti–O bond length is 2.29 Å. In the third Ti4+ site, Ti4+ is bonded to six S+1.40- and one O2- atom to form distorted TiS6O pentagonal bipyramids that share a cornercorner with one BaS12 cuboctahedra, corners with two KS12 cuboctahedra, a cornercorner with one TiS6O pentagonal bipyramid, a faceface with one BaS12 cuboctahedra, faces with three KS12 cuboctahedra, and faces with four TiS6O pentagonal bipyramids. There are a spread of Ti–S bond distances ranging from 2.37–2.60 Å. The Ti–O bond length is 2.31 Å. There are ten inequivalent S+1.40- sites. In the first S+1.40- site, S+1.40- is bonded in a 1-coordinate geometry to two K1+, one Ba2+, one Ti4+, and one S+1.40- atom. The S–S bond length is 2.07 Å. In the second S+1.40- site, S+1.40- is bonded in a 1-coordinate geometry to three K1+, one Ti4+, and one S+1.40- atom. The S–S bond length is 2.07 Å. In the third S+1.40- site, S+1.40- is bonded in a 1-coordinate geometry to two K1+, one Ba2+, one Ti4+, and one S+1.40- atom. In the fourth S+1.40- site, S+1.40- is bonded in a 1-coordinate geometry to three K1+, one Ti4+, and one S+1.40- atom. The S–S bond length is 2.07 Å. In the fifth S+1.40- site, S+1.40- is bonded in a 1-coordinate geometry to two K1+, one Ba2+, one Ti4+, and one S+1.40- atom. In the sixth S+1.40- site, S+1.40- is bonded in a 3-coordinate geometry to two K1+, one Ba2+, and three Ti4+ atoms. In the seventh S+1.40- site, S+1.40- is bonded in a 3-coordinate geometry to two K1+, one Ba2+, and three Ti4+ atoms. In the eighth S+1.40- site, S+1.40- is bonded in a 4-coordinate geometry to two K1+, one Ba2+, and three Ti4+ atoms. In the ninth S+1.40- site, S+1.40- is bonded in a 4-coordinate geometry to three K1+ and three Ti4+ atoms. In the tenth S+1.40- site, S+1.40- is bonded in a 1-coordinate geometry to three K1+, one Ti4+, and one S+1.40- atom. O2- is bonded in an octahedral geometry to six Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MoPdRuRh by Materials Project

MoRuRhPd is beta-derived structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. Mo is bonded to six equivalent Mo, three equivalent Ru, and three equivalent Rh atoms to form MoMo6Ru3Rh3 cuboctahedra that share corners with six equivalent MoMo6Ru3Rh3 cuboctahedra, corners with twelve equivalent PdPd6Ru3Rh3 cuboctahedra, edges with six equivalent MoMo6Ru3Rh3 cuboctahedra, edges with six equivalent RuMo3Pd3Ru6 cuboctahedra, edges with six equivalent RhMo3Pd3Rh6 cuboctahedra, faces with two equivalent PdPd6Ru3Rh3 cuboctahedra, faces with six equivalent MoMo6Ru3Rh3 cuboctahedra, faces with six equivalent RuMo3Pd3Ru6 cuboctahedra, and faces with six equivalent RhMo3Pd3Rh6 cuboctahedra. All Mo–Mo bond lengths are 2.78 Å. All Mo–Ru bond lengths are 2.67 Å. All Mo–Rh bond lengths are 2.69 Å. Ru is bonded to three equivalent Mo, six equivalent Ru, and three equivalent Pd atoms to form RuMo3Pd3Ru6 cuboctahedra that share corners with six equivalent RuMo3Pd3Ru6 cuboctahedra, corners with twelve equivalent RhMo3Pd3Rh6 cuboctahedra, edges with six equivalent MoMo6Ru3Rh3 cuboctahedra, edges with six equivalent RuMo3Pd3Ru6 cuboctahedra, edges with six equivalent PdPd6Ru3Rh3 cuboctahedra, faces with two equivalent RhMo3Pd3Rh6 cuboctahedra, faces with six equivalent MoMo6Ru3Rh3 cuboctahedra, faces with six equivalent RuMo3Pd3Ru6 cuboctahedra, and faces with six equivalent PdPd6Ru3Rh3 cuboctahedra. All Ru–Ru bond lengths are 2.78 Å. All Ru–Pd bond lengths are 2.79 Å. Rh is bonded to three equivalent Mo, six equivalent Rh, and three equivalent Pd atoms to form RhMo3Pd3Rh6 cuboctahedra that share corners with six equivalent RhMo3Pd3Rh6 cuboctahedra, corners with twelve equivalent RuMo3Pd3Ru6 cuboctahedra, edges with six equivalent MoMo6Ru3Rh3 cuboctahedra, edges with six equivalent RhMo3Pd3Rh6 cuboctahedra, edges with six equivalent PdPd6Ru3Rh3 cuboctahedra, faces with two equivalent RuMo3Pd3Ru6 cuboctahedra, faces with six equivalent MoMo6Ru3Rh3 cuboctahedra, faces with six equivalent RhMo3Pd3Rh6 cuboctahedra, and faces with six equivalent PdPd6Ru3Rh3 cuboctahedra. All Rh–Rh bond lengths are 2.78 Å. All Rh–Pd bond lengths are 2.83 Å. Pd is bonded to three equivalent Ru, three equivalent Rh, and six equivalent Pd atoms to form PdPd6Ru3Rh3 cuboctahedra that share corners with six equivalent PdPd6Ru3Rh3 cuboctahedra, corners with twelve equivalent MoMo6Ru3Rh3 cuboctahedra, edges with six equivalent RuMo3Pd3Ru6 cuboctahedra, edges with six equivalent RhMo3Pd3Rh6 cuboctahedra, edges with six equivalent PdPd6Ru3Rh3 cuboctahedra, faces with two equivalent MoMo6Ru3Rh3 cuboctahedra, faces with six equivalent RuMo3Pd3Ru6 cuboctahedra, faces with six equivalent RhMo3Pd3Rh6 cuboctahedra, and faces with six equivalent PdPd6Ru3Rh3 cuboctahedra. All Pd–Pd bond lengths are 2.78 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg14FeSi by Materials Project

Mg14FeSi crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are seven inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent SiMg10Fe2 cuboctahedra, corners with fourteen MgMg12 cuboctahedra, edges with ten MgMg12 cuboctahedra, faces with two equivalent FeMg10Si2 cuboctahedra, and faces with fourteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.07–3.25 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent FeMg10Si2 cuboctahedra, corners with fourteen MgMg12 cuboctahedra, edges with ten MgMg12 cuboctahedra, faces with two equivalent SiMg10Fe2 cuboctahedra, and faces with fourteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.07–3.26 Å. In the third Mg site, Mg is bonded to eight Mg, two equivalent Fe, and two equivalent Si atoms to form distorted MgMg8Fe2Si2 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with two equivalent FeMg10Si2 cuboctahedra, edges with two equivalent SiMg10Fe2 cuboctahedra, edges with ten MgMg8Fe2Si2 cuboctahedra, faces with two equivalent FeMg10Si2 cuboctahedra, faces with two equivalent SiMg10Fe2 cuboctahedra, and faces with eight MgMg8Fe2Si2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.00–3.12 Å. There are one shorter (3.02 Å) and one longer (3.17 Å) Mg–Fe bond lengths. There are one shorter (2.99 Å) and one longer (3.20 Å) Mg–Si bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent FeMg10Si2 cuboctahedra, corners with four equivalent SiMg10Fe2 cuboctahedra, corners with ten MgMg8Fe2Si2 cuboctahedra, edges with fourteen MgMg12 cuboctahedra, and faces with twelve MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.11–3.29 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to eight Mg, one Fe, and one Si atom. There are a spread of Mg–Mg bond distances ranging from 3.02–3.18 Å. The Mg–Fe bond length is 2.91 Å. The Mg–Si bond length is 2.93 Å. In the sixth Mg site, Mg is bonded to eleven Mg and one Fe atom to form distorted MgMg11Fe cuboctahedra that share corners with ten MgMg11Fe cuboctahedra, edges with two equivalent FeMg10Si2 cuboctahedra, edges with twelve MgMg12 cuboctahedra, a faceface with one FeMg10Si2 cuboctahedra, faces with three equivalent SiMg10Fe2 cuboctahedra, and faces with twelve MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.11 Å. The Mg–Fe bond length is 3.01 Å. In the seventh Mg site, Mg is bonded to eleven Mg and one Si atom to form distorted MgMg11Si cuboctahedra that share corners with ten MgMg11Fe cuboctahedra, edges with two equivalent SiMg10Fe2 cuboctahedra, edges with twelve MgMg12 cuboctahedra, a faceface with one SiMg10Fe2 cuboctahedra, faces with three equivalent FeMg10Si2 cuboctahedra, and faces with twelve MgMg12 cuboctahedra. The Mg–Si bond length is 3.03 Å. Fe is bonded to ten Mg and two equivalent Si atoms to form distorted FeMg10Si2 cuboctahedra that share corners with six equivalent FeMg10Si2 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with two equivalent SiMg10Fe2 cuboctahedra, edges with eight MgMg11Fe cuboctahedra, faces with two equivalent SiMg10Fe2 cuboctahedra, and faces with fourteen MgMg12 cuboctahedra. Both Fe–Si bond lengths are 3.11 Å. Si is bonded to ten Mg and two equivalent Fe atoms to form distorted SiMg10Fe2 cuboctahedra that share corners with six equivalent SiMg10Fe2 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with two equivalent FeMg10Si2 cuboctahedra, edges with eight MgMg8Fe2Si2 cuboctahedra, faces with two equivalent FeMg10Si2 cuboctahedra, and faces with fourteen MgMg12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on PrY by Materials Project

YPr is beta-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are four inequivalent Pr sites. In the first Pr site, Pr is bonded to nine Pr and three equivalent Y atoms to form PrPr9Y3 cuboctahedra that share corners with six equivalent PrPr9Y3 cuboctahedra, corners with twelve YPr3Y9 cuboctahedra, edges with six equivalent YPr3Y9 cuboctahedra, edges with twelve PrPr9Y3 cuboctahedra, faces with eight YPr3Y9 cuboctahedra, and faces with twelve PrPr9Y3 cuboctahedra. There are six shorter (3.67 Å) and three longer (3.72 Å) Pr–Pr bond lengths. All Pr–Y bond lengths are 3.60 Å. In the second Pr site, Pr is bonded to six equivalent Pr and six Y atoms to form PrPr6Y6 cuboctahedra that share corners with six equivalent YPr3Y9 cuboctahedra, corners with twelve PrPr6Y6 cuboctahedra, edges with six equivalent PrPr6Y6 cuboctahedra, edges with twelve YPr3Y9 cuboctahedra, faces with seven PrPr6Y6 cuboctahedra, and faces with thirteen YPr3Y9 cuboctahedra. All Pr–Pr bond lengths are 3.67 Å. There are three shorter (3.62 Å) and three longer (3.64 Å) Pr–Y bond lengths. In the third Pr site, Pr is bonded to nine Pr and three equivalent Y atoms to form PrPr9Y3 cuboctahedra that share corners with three equivalent YPr3Y9 cuboctahedra, corners with twelve PrPr6Y6 cuboctahedra, edges with nine YPr3Y9 cuboctahedra, edges with twelve PrPr9Y3 cuboctahedra, faces with six equivalent YPr6Y6 cuboctahedra, and faces with thirteen PrPr9Y3 cuboctahedra. All Pr–Pr bond lengths are 3.67 Å. All Pr–Y bond lengths are 3.62 Å. In the fourth Pr site, Pr is bonded to six equivalent Pr and six Y atoms to form PrPr6Y6 cuboctahedra that share corners with six equivalent YPr3Y9 cuboctahedra, corners with twelve PrPr9Y3 cuboctahedra, edges with six equivalent PrPr6Y6 cuboctahedra, edges with twelve YPr6Y6 cuboctahedra, faces with seven PrPr9Y3 cuboctahedra, and faces with thirteen YPr3Y9 cuboctahedra. All Pr–Pr bond lengths are 3.67 Å. There are three shorter (3.62 Å) and three longer (3.64 Å) Pr–Y bond lengths. There are four inequivalent Y sites. In the first Y site, Y is bonded to three equivalent Pr and nine Y atoms to form YPr3Y9 cuboctahedra that share corners with six equivalent PrPr9Y3 cuboctahedra, corners with nine YPr3Y9 cuboctahedra, edges with six equivalent PrPr6Y6 cuboctahedra, edges with fifteen YPr6Y6 cuboctahedra, faces with seven PrPr9Y3 cuboctahedra, and faces with twelve YPr3Y9 cuboctahedra. There are three shorter (3.57 Å) and six longer (3.67 Å) Y–Y bond lengths. In the second Y site, Y is bonded to six Pr and six equivalent Y atoms to form YPr6Y6 cuboctahedra that share corners with six equivalent PrPr9Y3 cuboctahedra, corners with nine YPr3Y9 cuboctahedra, edges with nine YPr3Y9 cuboctahedra, edges with twelve PrPr9Y3 cuboctahedra, faces with six equivalent YPr6Y6 cuboctahedra, and faces with thirteen PrPr9Y3 cuboctahedra. All Y–Y bond lengths are 3.67 Å. In the third Y site, Y is bonded to three equivalent Pr and nine Y atoms to form YPr3Y9 cuboctahedra that share corners with six equivalent YPr3Y9 cuboctahedra, corners with nine PrPr6Y6 cuboctahedra, edges with nine PrPr9Y3 cuboctahedra, edges with twelve YPr3Y9 cuboctahedra, faces with seven PrPr9Y3 cuboctahedra, and faces with twelve YPr3Y9 cuboctahedra. All Y–Y bond lengths are 3.67 Å. In the fourth Y site, Y is bonded to six Pr and six equivalent Y atoms to form YPr6Y6 cuboctahedra that share corners with six equivalent PrPr9Y3 cuboctahedra, corners with nine YPr3Y9 cuboctahedra, edges with nine YPr6Y6 cuboctahedra, edges with twelve PrPr9Y3 cuboctahedra, faces with six equivalent YPr6Y6 cuboctahedra, and faces with thirteen PrPr9Y3 cuboctahedra. All Y–Pr bond lengths are 3.62 Å. All Y–Y bond lengths are 3.67 Å.

36 MATERIALS SCIENCE↗

Materials Data on Tl(V3S4)4 by Materials Project

Tl(V3S4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent V+2.58+ sites. In the first V+2.58+ site, V+2.58+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing VS6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of V–S bond distances ranging from 2.32–2.54 Å. In the second V+2.58+ site, V+2.58+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing VS6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of V–S bond distances ranging from 2.33–2.55 Å. In the third V+2.58+ site, V+2.58+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing VS6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of V–S bond distances ranging from 2.32–2.53 Å. In the fourth V+2.58+ site, V+2.58+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing VS6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of V–S bond distances ranging from 2.33–2.55 Å. In the fifth V+2.58+ site, V+2.58+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing VS6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of V–S bond distances ranging from 2.33–2.55 Å. In the sixth V+2.58+ site, V+2.58+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing VS6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of V–S bond distances ranging from 2.33–2.53 Å. In the seventh V+2.58+ site, V+2.58+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing VS6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of V–S bond distances ranging from 2.33–2.55 Å. In the eighth V+2.58+ site, V+2.58+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing VS6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of V–S bond distances ranging from 2.33–2.54 Å. In the ninth V+2.58+ site, V+2.58+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing VS6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of V–S bond distances ranging from 2.33–2.55 Å. In the tenth V+2.58+ site, V+2.58+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing VS6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of V–S bond distances ranging from 2.33–2.54 Å. In the eleventh V+2.58+ site, V+2.58+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing VS6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of V–S bond distances ranging from 2.33–2.54 Å. In the twelfth V+2.58+ site, V+2.58+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing VS6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of V–S bond distances ranging from 2.33–2.55 Å. Tl1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are three shorter (3.03 Å) and three longer (3.19 Å) Tl–S bond lengths. There are sixteen inequivalent S2- sites. In the first S2- site, S2- is bonded to six V+2.58+ atoms to form distorted face-sharing SV6 pentagonal pyramids. In the second S2- site, S2- is bonded to six V+2.58+ atoms to form distorted face-sharing SV6 pentagonal pyramids. In the third S2- site, S2- is bonded to six V+2.58+ atoms to form distorted face-sharing SV6 pentagonal pyramids. In the fourth S2- site, S2- is bonded to six V+2.58+ atoms to form distorted face-sharing SV6 pentagonal pyramids. In the fifth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.58+ atoms. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to four V+2.58+ and one Tl1+ atom. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to four V+2.58+ and one Tl1+ atom. In the eighth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.58+ atoms. In the ninth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.58+ atoms. In the tenth S2- site, S2- is bonded in a 5-coordinate geometry to four V+2.58+ and one Tl1+ atom. In the eleventh S2- site, S2- is bonded in a 5-coordinate geometry to four V+2.58+ and one Tl1+ atom. In the twelfth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.58+ atoms. In the thirteenth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.58+ atoms. In the fourteenth S2- site, S2- is bonded in a 5-coordinate geometry to four V+2.58+ and one Tl1+ atom. In the fifteenth S2- site, S2- is bonded in a 5-coordinate geometry to four V+2.58+ and one Tl1+ atom. In the sixteenth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on PaFe3 by Materials Project

PaFe3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Pa sites. In the first Pa site, Pa is bonded to twelve Fe atoms to form PaFe12 cuboctahedra that share corners with six equivalent PaFe12 cuboctahedra, corners with twelve FePa4Fe8 cuboctahedra, edges with eighteen FePa4Fe8 cuboctahedra, faces with eight PaFe12 cuboctahedra, and faces with twelve FePa4Fe8 cuboctahedra. There are a spread of Pa–Fe bond distances ranging from 2.67–2.88 Å. In the second Pa site, Pa is bonded to twelve Fe atoms to form PaFe12 cuboctahedra that share corners with six equivalent PaFe12 cuboctahedra, corners with twelve FePa4Fe8 cuboctahedra, edges with eighteen FePa4Fe8 cuboctahedra, faces with eight PaFe12 cuboctahedra, and faces with twelve FePa4Fe8 cuboctahedra. There are a spread of Pa–Fe bond distances ranging from 2.67–2.87 Å. There are six inequivalent Fe sites. In the first Fe site, Fe is bonded to four Pa and eight Fe atoms to form distorted FePa4Fe8 cuboctahedra that share corners with four equivalent PaFe12 cuboctahedra, corners with fourteen FePa4Fe8 cuboctahedra, edges with six PaFe12 cuboctahedra, edges with twelve FePa4Fe8 cuboctahedra, faces with four PaFe12 cuboctahedra, and faces with sixteen FePa4Fe8 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.50–2.88 Å. In the second Fe site, Fe is bonded to four Pa and eight Fe atoms to form distorted FePa4Fe8 cuboctahedra that share corners with four equivalent PaFe12 cuboctahedra, corners with fourteen FePa4Fe8 cuboctahedra, edges with six PaFe12 cuboctahedra, edges with twelve FePa4Fe8 cuboctahedra, faces with four PaFe12 cuboctahedra, and faces with sixteen FePa4Fe8 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.49–2.85 Å. In the third Fe site, Fe is bonded to four Pa and eight Fe atoms to form distorted FePa4Fe8 cuboctahedra that share corners with four equivalent PaFe12 cuboctahedra, corners with fourteen FePa4Fe8 cuboctahedra, edges with six PaFe12 cuboctahedra, edges with twelve FePa4Fe8 cuboctahedra, faces with four PaFe12 cuboctahedra, and faces with sixteen FePa4Fe8 cuboctahedra. There are two shorter (2.76 Å) and two longer (2.77 Å) Fe–Fe bond lengths. In the fourth Fe site, Fe is bonded to four Pa and eight Fe atoms to form distorted FePa4Fe8 cuboctahedra that share corners with four equivalent PaFe12 cuboctahedra, corners with fourteen FePa4Fe8 cuboctahedra, edges with six PaFe12 cuboctahedra, edges with twelve FePa4Fe8 cuboctahedra, faces with four PaFe12 cuboctahedra, and faces with sixteen FePa4Fe8 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.50–2.88 Å. In the fifth Fe site, Fe is bonded to four Pa and eight Fe atoms to form distorted FePa4Fe8 cuboctahedra that share corners with four equivalent PaFe12 cuboctahedra, corners with fourteen FePa4Fe8 cuboctahedra, edges with six PaFe12 cuboctahedra, edges with twelve FePa4Fe8 cuboctahedra, faces with four PaFe12 cuboctahedra, and faces with sixteen FePa4Fe8 cuboctahedra. There are one shorter (2.49 Å) and one longer (2.86 Å) Fe–Fe bond lengths. In the sixth Fe site, Fe is bonded to four Pa and eight Fe atoms to form distorted FePa4Fe8 cuboctahedra that share corners with four equivalent PaFe12 cuboctahedra, corners with fourteen FePa4Fe8 cuboctahedra, edges with six PaFe12 cuboctahedra, edges with twelve FePa4Fe8 cuboctahedra, faces with four PaFe12 cuboctahedra, and faces with sixteen FePa4Fe8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ba9Nb10O30 by Materials Project

Ba9Nb10O30 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with 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 2.89–2.96 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 2.89–2.95 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 five BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.90–2.95 Å. In the fourth 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 2.88–2.93 Å. In the fifth 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. There are five inequivalent Nb+4.20+ sites. In the first Nb+4.20+ site, Nb+4.20+ 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 0–4°. There are a spread of Nb–O bond distances ranging from 2.04–2.10 Å. In the second Nb+4.20+ site, Nb+4.20+ 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 third Nb+4.20+ site, Nb+4.20+ 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 2.03–2.10 Å. In the fourth Nb+4.20+ site, Nb+4.20+ 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 2.03–2.11 Å. In the fifth Nb+4.20+ site, Nb+4.20+ 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 two shorter (2.06 Å) and four longer (2.07 Å) Nb–O bond lengths. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.20+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.20+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.20+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.20+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.20+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.20+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Nb+4.20+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Nb+4.20+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K9Ta10O30 by Materials Project

K9Ta10O30 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent K sites. In the first K site, K is bonded to twelve O atoms to form KO12 cuboctahedra that share corners with eleven KO12 cuboctahedra, faces with five KO12 cuboctahedra, and faces with eight TaO6 octahedra. There are a spread of K–O bond distances ranging from 2.83–2.85 Å. In the second K site, K is bonded to twelve O atoms to form KO12 cuboctahedra that share corners with eleven KO12 cuboctahedra, faces with five KO12 cuboctahedra, and faces with eight TaO6 octahedra. There are a spread of K–O bond distances ranging from 2.83–2.85 Å. In the third K site, K is bonded to twelve O atoms to form KO12 cuboctahedra that share corners with ten KO12 cuboctahedra, faces with six KO12 cuboctahedra, and faces with eight TaO6 octahedra. There are a spread of K–O bond distances ranging from 2.82–2.85 Å. In the fourth K site, K is bonded to twelve O atoms to form KO12 cuboctahedra that share corners with ten KO12 cuboctahedra, faces with six KO12 cuboctahedra, and faces with eight TaO6 octahedra. There are two shorter (2.82 Å) and ten longer (2.85 Å) K–O bond lengths. In the fifth K site, K is bonded to twelve O atoms to form KO12 cuboctahedra that share corners with eleven KO12 cuboctahedra, faces with five KO12 cuboctahedra, and faces with eight TaO6 octahedra. There are a spread of K–O bond distances ranging from 2.83–2.85 Å. There are five inequivalent Ta sites. In the first Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and faces with seven KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ta–O bond distances ranging from 1.99–2.03 Å. In the second Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and faces with seven KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Ta–O bond distances ranging from 1.99–2.04 Å. In the third Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and faces with seven KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ta–O bond distances ranging from 1.99–2.03 Å. In the fourth Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and faces with eight KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are five shorter (2.01 Å) and one longer (2.02 Å) Ta–O bond lengths. In the fifth Ta site, Ta is bonded to six O atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and faces with seven KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ta–O bond distances ranging from 1.99–2.03 Å. There are sixteen inequivalent O sites. In the first O site, O is bonded in a distorted linear geometry to three K and two Ta atoms. In the second O site, O is bonded in a distorted linear geometry to three K and two Ta atoms. In the third O site, O is bonded in a distorted linear geometry to four K and two Ta atoms. In the fourth O site, O is bonded in a distorted linear geometry to three K and two Ta atoms. In the fifth O site, O is bonded in a distorted linear geometry to four K and two Ta atoms. In the sixth O site, O is bonded in a distorted linear geometry to four K and two Ta atoms. In the seventh O site, O is bonded in a distorted linear geometry to four K and two equivalent Ta atoms. In the eighth O site, O is bonded in a distorted linear geometry to four K and two Ta atoms. In the ninth O site, O is bonded in a distorted linear geometry to four K and two Ta atoms. In the tenth O site, O is bonded in a distorted linear geometry to four K and two Ta atoms. In the eleventh O site, O is bonded in a distorted linear geometry to four K and two Ta atoms. In the twelfth O site, O is bonded in a distorted linear geometry to three K and two Ta atoms. In the thirteenth O site, O is bonded in a distorted linear geometry to three K and two Ta atoms. In the fourteenth O site, O is bonded in a distorted linear geometry to four K and two Ta atoms. In the fifteenth O site, O is bonded in a distorted linear geometry to four K and two equivalent Ta atoms. In the sixteenth O site, O is bonded in a distorted linear geometry to three K and two Ta atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3Na2Ti3Nb2O15 by Materials Project

Na2Ba3Ti3Nb2O15 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Cmmm space group. The structure is three-dimensional. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with six equivalent NaO12 cuboctahedra, corners with six BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six equivalent NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.79–2.87 Å. There are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with five equivalent NaO12 cuboctahedra, corners with seven BaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.89 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent NaO12 cuboctahedra, corners with ten BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–2.87 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Ti–O bond lengths are 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 NbO6 octahedra, corners with four TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with six BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.99–2.03 Å. Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent NbO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Nb–O bond distances ranging from 2.00–2.02 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three equivalent Na1+, one Ba2+, and two equivalent Nb5+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. There are two shorter (2.82 Å) and two longer (2.84 Å) O–Ba bond lengths. Both O–Ti bond lengths are 2.01 Å. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Na1+ and two equivalent Nb5+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Na1+, three Ba2+, and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mo15N16 by Materials Project

Mo15N16 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. there are fifteen inequivalent Mo+3.20+ sites. In the first Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of Mo–N bond distances ranging from 2.14–2.20 Å. In the second Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 42–48°. There are a spread of Mo–N bond distances ranging from 2.15–2.21 Å. In the third Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 42–48°. There are a spread of Mo–N bond distances ranging from 2.16–2.21 Å. In the fourth Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of Mo–N bond distances ranging from 2.16–2.19 Å. In the fifth Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 41–49°. There are a spread of Mo–N bond distances ranging from 2.11–2.22 Å. In the sixth Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 43–46°. There are a spread of Mo–N bond distances ranging from 2.09–2.29 Å. In the seventh Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of Mo–N bond distances ranging from 2.16–2.22 Å. In the eighth Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of Mo–N bond distances ranging from 2.08–2.28 Å. In the ninth Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 42–48°. There are a spread of Mo–N bond distances ranging from 2.11–2.23 Å. In the tenth Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Mo–N bond distances ranging from 2.16–2.24 Å. In the eleventh Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of Mo–N bond distances ranging from 2.14–2.21 Å. In the twelfth Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of Mo–N bond distances ranging from 2.13–2.22 Å. In the thirteenth Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 42–48°. There are a spread of Mo–N bond distances ranging from 2.15–2.23 Å. In the fourteenth Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of Mo–N bond distances ranging from 2.14–2.22 Å. In the fifteenth Mo+3.20+ site, Mo+3.20+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing MoN6 octahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of Mo–N bond distances ranging from 2.14–2.19 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to five Mo+3.20+ atoms to form distorted NMo5 trigonal bipyramids that share corners with five NMo6 pentagonal pyramids, corners with two NMo5 trigonal bipyramids, and edges with seven NMo6 pentagonal pyramids. In the second N3- site, N3- is bonded to five Mo+3.20+ atoms to form distorted NMo5 trigonal bipyramids that share corners with three equivalent NMo6 pentagonal pyramids, corners with two NMo5 trigonal bipyramids, and edges with eight NMo6 pentagonal pyramids. In the third N3- site, N3- is bonded to six Mo+3.20+ atoms to form distorted NMo6 pentagonal pyramids that share corners with three equivalent NMo6 pentagonal pyramids, corners with three equivalent NMo5 trigonal bipyramids, edges with eight NMo6 pentagonal pyramids, and edges with two NMo5 trigonal bipyramids. In the fourth N3- site, N3- is bonded to six Mo+3.20+ atoms to form distorted NMo6 pentagonal pyramids that share corners with four NMo6 pentagonal pyramids, edges with seven NMo6 pentagonal pyramids, and edges with four NMo5 trigonal bipyramids. In the fifth N3- site, N3- is bonded to six Mo+3.20+ atoms to form distorted NMo6 pentagonal pyramids that share corners with four NMo6 pentagonal pyramids, corners with two equivalent NMo5 trigonal bipyramids, edges with seven NMo6 pentagonal pyramids, and an edgeedge with one NMo5 trigonal bipyramid. In the sixth N3- site, N3- is bonded to six Mo+3.20+ atoms to form distorted NMo6 pentagonal pyramids that share corners with three equivalent NMo6 pentagonal pyramids, edges with eight NMo6 pentagonal pyramids, and edges with two NMo5 trigonal bipyramids. In the seventh N3- site, N3- is bonded in a 5-coordinate geometry to five Mo+3.20+ atoms. In the eighth N3- site, N3- is bonded in a 5-coordinate geometry to five Mo+3.20+ atoms. In the ninth N3- site, N3- is bonded to six Mo+3.20+ atoms to form distorted NMo6 pentagonal pyramids that share corners with five NMo6 pentagonal pyramids, edges with seven NMo6 pentagonal pyramids, and edges with two NMo5 trigonal bipyramids. In the tenth N3- site, N3- is bonded to six Mo+3.20+ atoms to form distorted NMo6 pentagonal pyramids that share corners with five NMo6 pentagonal pyramids, a cornercorner with one NMo5 trigonal bipyramid, edges with seven NMo6 pentagonal pyramids, and edges with three NMo5 trigonal bipyramids. In the eleventh N3- site, N3- is bonded to five Mo+3.20+ atoms to form distorted NMo5 trigonal bipyramids that share corners with three equivalent NMo6 pentagonal pyramids, corners with two NMo5 trigonal bipyramids, and edges with eight NMo6 pentagonal pyramids. In the twelfth N3- site, N3- is bonded in a 5-coordinate geometry to five Mo+3.20+ atoms. In the thirteenth N3- site, N3- is bonded to six Mo+3.20+ atoms to form distorted NMo6 pentagonal pyramids that share corners with three equivalent NMo6 pentagonal pyramids, edges with eight NMo6 pentagonal pyramids, and edges with two NMo5 trigonal bipyramids. In the fourteenth N3- site, N3- is bonded to six Mo+3.20+ atoms to form distorted NMo6 pentagonal pyramids that share corners with three equivalent NMo6 pentagonal pyramids, corners with three equivalent NMo5 trigonal bipyramids, edges with eight NMo6 pentagonal pyramids, and edges with two NMo5 trigonal bipyramids. In the fifteenth N3- site, N3- is bonded to six Mo+3.20+ atoms to form distorted NMo6 pentagonal pyramids that share corners with four NMo6 pentagonal pyramids, edges with seven NMo6 pentagonal pyramids, and edges with two NMo5 trigonal bipyramids. In the sixteenth N3- site, N3- is bonded to six Mo+3.20+ atoms to form distorted NMo6 pentagonal pyramids that share corners with four NMo6 pentagonal pyramids, corners with two equivalent NMo5 trigonal bipyramids, edges with seven NMo6 pentagonal pyramids, and edges with three NMo5 trigonal bipyramids.

36 MATERIALS SCIENCE↗