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Materials Data on Mn3Ga by Materials Project

Mn3Ga crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are five inequivalent Mn sites. In the first Mn site, Mn is bonded to nine Mn and three equivalent Ga atoms to form MnMn9Ga3 cuboctahedra that share corners with twelve equivalent MnMn9Ga3 cuboctahedra, edges with six equivalent GaMn6Ga6 cuboctahedra, edges with eighteen MnMn9Ga3 cuboctahedra, faces with six equivalent GaMn6Ga6 cuboctahedra, and faces with twelve MnMn9Ga3 cuboctahedra. There are three shorter (2.48 Å) and six longer (2.61 Å) Mn–Mn bond lengths. All Mn–Ga bond lengths are 2.62 Å. In the second Mn site, Mn is bonded to twelve Mn atoms to form MnMn12 cuboctahedra that share corners with six equivalent MnMn12 cuboctahedra, corners with six equivalent GaMn6Ga6 cuboctahedra, edges with six equivalent GaMn6Ga6 cuboctahedra, edges with eighteen MnMn9Ga3 cuboctahedra, and faces with eighteen MnMn9Ga3 cuboctahedra. All Mn–Mn bond lengths are 2.61 Å. In the third Mn site, Mn is bonded to nine Mn and three equivalent Ga atoms to form MnMn9Ga3 cuboctahedra that share corners with seventeen MnMn9Ga3 cuboctahedra, edges with six equivalent GaMn6Ga6 cuboctahedra, edges with sixteen MnMn9Ga3 cuboctahedra, faces with six equivalent GaMn6Ga6 cuboctahedra, and faces with fifteen MnMn9Ga3 cuboctahedra. There are three shorter (2.48 Å) and six longer (2.61 Å) Mn–Mn bond lengths. All Mn–Ga bond lengths are 2.62 Å. In the fourth Mn site, Mn is bonded to sixteen Mn atoms to form MnMn16 cuboctahedra that share corners with six equivalent GaMn6Ga6 cuboctahedra, corners with sixteen MnMn9Ga3 cuboctahedra, edges with six equivalent GaMn6Ga6 cuboctahedra, edges with eighteen MnMn9Ga3 cuboctahedra, and faces with thirty-four MnMn9Ga3 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.48–5.21 Å. In the fifth Mn site, Mn is bonded to nine Mn and three equivalent Ga atoms to form MnMn9Ga3 cuboctahedra that share corners with seventeen MnMn9Ga3 cuboctahedra, edges with six equivalent GaMn6Ga6 cuboctahedra, edges with sixteen MnMn9Ga3 cuboctahedra, faces with six equivalent GaMn6Ga6 cuboctahedra, and faces with fifteen MnMn9Ga3 cuboctahedra. All Mn–Mn bond lengths are 2.61 Å. All Mn–Ga bond lengths are 2.62 Å. Ga is bonded to six equivalent Mn and six equivalent Ga atoms to form GaMn6Ga6 cuboctahedra that share corners with six equivalent MnMn12 cuboctahedra, corners with six equivalent GaMn6Ga6 cuboctahedra, edges with six equivalent GaMn6Ga6 cuboctahedra, edges with eighteen MnMn9Ga3 cuboctahedra, faces with six equivalent GaMn6Ga6 cuboctahedra, and faces with twelve equivalent MnMn9Ga3 cuboctahedra. All Ga–Ga bond lengths are 2.61 Å.

36 MATERIALS SCIENCE↗

Materials Data on ZrMn3 by Materials Project

ZrMn3 crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are three inequivalent Zr sites. In the first Zr site, Zr is bonded in a 12-coordinate geometry to one Zr and fifteen Mn atoms. The Zr–Zr bond length is 3.05 Å. There are a spread of Zr–Mn bond distances ranging from 2.73–2.98 Å. In the second Zr site, Zr is bonded in a 12-coordinate geometry to four Zr and twelve Mn atoms. All Zr–Zr bond lengths are 3.02 Å. There are a spread of Zr–Mn bond distances ranging from 2.87–2.92 Å. In the third Zr site, Zr is bonded in a 10-coordinate geometry to three equivalent Zr and thirteen Mn atoms. There are a spread of Zr–Mn bond distances ranging from 2.85–2.97 Å. There are five inequivalent Mn sites. In the first Mn site, Mn is bonded to three equivalent Zr and nine Mn atoms to form distorted MnZr3Mn9 cuboctahedra that share corners with twelve MnZr4Mn8 cuboctahedra, edges with six equivalent MnZr3Mn9 cuboctahedra, and faces with twenty MnZr6Mn6 cuboctahedra. There are six shorter (2.42 Å) and three longer (2.87 Å) Mn–Mn bond lengths. In the second Mn site, Mn is bonded to six Zr and six Mn atoms to form MnZr6Mn6 cuboctahedra that share corners with twelve MnZr4Mn8 cuboctahedra, edges with six equivalent MnZr6Mn6 cuboctahedra, and faces with twenty MnZr3Mn9 cuboctahedra. There are three shorter (2.49 Å) and three longer (2.54 Å) Mn–Mn bond lengths. In the third Mn site, Mn is bonded to four Zr and eight Mn atoms to form MnZr4Mn8 cuboctahedra that share corners with eighteen MnZr3Mn9 cuboctahedra, edges with six MnZr5Mn7 cuboctahedra, and faces with eighteen MnZr3Mn9 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.38–2.80 Å. In the fourth Mn site, Mn is bonded to five Zr and seven Mn atoms to form distorted MnZr5Mn7 cuboctahedra that share corners with eighteen MnZr3Mn9 cuboctahedra, edges with six MnZr5Mn7 cuboctahedra, and faces with eighteen MnZr3Mn9 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.36–2.85 Å. In the fifth Mn site, Mn is bonded in a 4-coordinate geometry to four Zr and twelve Mn atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr3Ca5Mn7FeO24 by Materials Project

Sr3Ca5Mn7FeO24 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, a faceface with one FeO6 octahedra, and faces with seven MnO6 octahedra. There are four shorter (2.72 Å) and eight longer (2.74 Å) Sr–O bond lengths. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve CaO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, a faceface with one FeO6 octahedra, and faces with seven MnO6 octahedra. All Sr–O bond lengths are 2.74 Å. There are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, a faceface with one FeO6 octahedra, and faces with seven MnO6 octahedra. There are four shorter (2.70 Å) and eight longer (2.72 Å) Ca–O bond lengths. In the second Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, a faceface with one FeO6 octahedra, and faces with seven MnO6 octahedra. There are eight shorter (2.70 Å) and four longer (2.72 Å) Ca–O bond lengths. In the third Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, a faceface with one FeO6 octahedra, and faces with seven MnO6 octahedra. There are four shorter (2.70 Å) and eight longer (2.72 Å) Ca–O bond lengths. In the fourth Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with six CaO12 cuboctahedra, a faceface with one FeO6 octahedra, and faces with seven MnO6 octahedra. There are eight shorter (2.70 Å) and four longer (2.72 Å) Ca–O bond lengths. There are five inequivalent Mn+4.14+ sites. In the first Mn+4.14+ site, Mn+4.14+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mn–O bond distances ranging from 1.90–1.94 Å. In the second Mn+4.14+ site, Mn+4.14+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mn–O bond distances ranging from 1.89–1.93 Å. In the third Mn+4.14+ site, Mn+4.14+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mn–O bond distances ranging from 1.91–1.93 Å. In the fourth Mn+4.14+ site, Mn+4.14+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is five shorter (1.92 Å) and one longer (1.93 Å) Mn–O bond length. In the fifth Mn+4.14+ site, Mn+4.14+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mn–O bond distances ranging from 1.91–1.93 Å. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 1.94–1.96 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Mn+4.14+, and one Fe3+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn+4.14+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn+4.14+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn+4.14+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Mn+4.14+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn+4.14+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn+4.14+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn+4.14+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Mn+4.14+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn+4.14+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ca2+, one Mn+4.14+, and one Fe3+ atom. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two Mn+4.14+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn+4.14+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two Mn+4.14+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn9(NbGe4)2 by Materials Project

Mn9(NbGe4)2 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent Nb sites. In the first Nb site, Nb is bonded to seven Ge atoms to form distorted NbGe7 pentagonal bipyramids that share a cornercorner with one MnGe7 pentagonal bipyramid, corners with three NbGe7 pentagonal bipyramids, an edgeedge with one MnGe7 pentagonal bipyramid, edges with two equivalent NbGe7 pentagonal bipyramids, and faces with two equivalent NbGe7 pentagonal bipyramids. There are a spread of Nb–Ge bond distances ranging from 2.62–2.79 Å. In the second Nb site, Nb is bonded to seven Ge atoms to form distorted NbGe7 pentagonal bipyramids that share corners with three NbGe7 pentagonal bipyramids, corners with four equivalent MnGe7 pentagonal bipyramids, and faces with two equivalent NbGe7 pentagonal bipyramids. There are a spread of Nb–Ge bond distances ranging from 2.69–2.82 Å. There are seven inequivalent Mn sites. In the first Mn site, Mn is bonded in a 5-coordinate geometry to five Ge atoms. There are a spread of Mn–Ge bond distances ranging from 2.48–2.51 Å. In the second Mn site, Mn is bonded in a 6-coordinate geometry to six Ge atoms. There are a spread of Mn–Ge bond distances ranging from 2.41–2.69 Å. In the third Mn site, Mn is bonded in a 6-coordinate geometry to six Ge atoms. There are a spread of Mn–Ge bond distances ranging from 2.57–2.61 Å. In the fourth Mn site, Mn is bonded to seven Ge atoms to form distorted MnGe7 pentagonal bipyramids that share corners with two equivalent MnGe7 pentagonal bipyramids, corners with five NbGe7 pentagonal bipyramids, and an edgeedge with one NbGe7 pentagonal bipyramid. There are a spread of Mn–Ge bond distances ranging from 2.51–2.76 Å. In the fifth Mn site, Mn is bonded in a 6-coordinate geometry to six Ge atoms. There are a spread of Mn–Ge bond distances ranging from 2.45–2.71 Å. In the sixth Mn site, Mn is bonded in a 4-coordinate geometry to six Ge atoms. There are a spread of Mn–Ge bond distances ranging from 2.48–2.85 Å. In the seventh Mn site, Mn is bonded in a 4-coordinate geometry to six Ge atoms. There are a spread of Mn–Ge bond distances ranging from 2.48–2.91 Å. There are seven inequivalent Ge sites. In the first Ge site, Ge is bonded in a 10-coordinate geometry to one Nb and nine Mn atoms. In the second Ge site, Ge is bonded in a 9-coordinate geometry to three Nb and six Mn atoms. In the third Ge site, Ge is bonded in a 9-coordinate geometry to nine Mn atoms. In the fourth Ge site, Ge is bonded in a 9-coordinate geometry to two Nb, five Mn, and two equivalent Ge atoms. There are one shorter (2.50 Å) and one longer (2.58 Å) Ge–Ge bond lengths. In the fifth Ge site, Ge is bonded in a 9-coordinate geometry to four Nb and five Mn atoms. In the sixth Ge site, Ge is bonded in a 8-coordinate geometry to one Nb and seven Mn atoms. In the seventh Ge site, Ge is bonded in a 8-coordinate geometry to one Nb and seven Mn atoms.

36 MATERIALS SCIENCE↗

Materials Data on K4Li7Mn2O8 by Materials Project

K4Li7Mn2O8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.55–2.90 Å. In the second K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.68–2.84 Å. In the third K1+ site, K1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.57–2.86 Å. In the fourth K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.63–2.79 Å. In the fifth K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.68–2.82 Å. In the sixth K1+ site, K1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.61–2.88 Å. In the seventh K1+ site, K1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of K–O bond distances ranging from 2.63–2.78 Å. In the eighth K1+ site, K1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.64–2.90 Å. There are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.78 Å) and one longer (1.80 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.36 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two equivalent MnO4 tetrahedra, an edgeedge with one MnO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two equivalent MnO4 tetrahedra, an edgeedge with one MnO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.15 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two MnO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.15 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.30 Å. In the seventh Li1+ site, Li1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.78 Å) and one longer (1.79 Å) Li–O bond length. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two MnO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.06–2.13 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two MnO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.16 Å. In the tenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.35 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two equivalent MnO4 tetrahedra, an edgeedge with one MnO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.04–2.08 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two MnO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.08–2.10 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two equivalent MnO4 tetrahedra, an edgeedge with one MnO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.03–2.09 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.29 Å. There are four inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with four LiO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.15 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with four LiO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.04–2.16 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with four LiO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.14 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with four LiO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.04–2.16 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+, three Li1+, and one Mn+2.50+ atom. In the second O2- site, O2- is bonded in a 7-coordinate geometry to two K1+, three Li1+, and one Mn+2.50+ atom. In the third O2- site, O2- is bonded in a 7-coordinate geometry to two K1+, four Li1+, and one Mn+2.50+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, three Li1+, and one Mn+2.50+ atom. In the fifth O2- site, O2- is bonded in a 7-coordinate geometry to two K1+, three Li1+, and one Mn+2.50+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+, three Li1+, and one Mn+2.50+ atom. In the seventh O2- site, O2- is bonded in a 7-coordinate geometry to two K1+, four Li1+, and one Mn+2.50+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one K1+, three Li1+, and one Mn+2.50+ atom. In the ninth O2- site, O2- is bonded in a 7-coordinate geometry to two K1+, four Li1+, and one Mn+2.50+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one K1+, three Li1+, and one Mn+2.50+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two K1+, three Li1+, and one Mn+2.50+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+, three Li1+, and one Mn+2.50+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one K1+, three Li1+, and one Mn+2.50+ atom. In the fourteenth O2- site, O2- is bonded in a 7-coordinate geometry to two K1+, four Li1+, and one Mn+2.50+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+, three Li1+, and one Mn+2.50+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two K1+, three Li1+, and one Mn+2.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn5O9F by Materials Project

Mn5O9F is trigonal omega-derived structured and crystallizes in the triclinic P1 space group. The structure is two-dimensional and consists of one Mn5O9F sheet oriented in the (1, 0, 0) direction. there are five inequivalent Mn+3.80+ sites. In the first Mn+3.80+ site, Mn+3.80+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.98 Å. In the second Mn+3.80+ site, Mn+3.80+ is bonded to five O2- and one F1- atom to form edge-sharing MnO5F octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.11 Å. The Mn–F bond length is 2.30 Å. In the third Mn+3.80+ site, Mn+3.80+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the fourth Mn+3.80+ site, Mn+3.80+ is bonded to five O2- and one F1- atom to form edge-sharing MnO5F octahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.96 Å. The Mn–F bond length is 2.02 Å. In the fifth Mn+3.80+ site, Mn+3.80+ is bonded to five O2- and one F1- atom to form edge-sharing MnO5F octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.95 Å. The Mn–F bond length is 2.02 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.80+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.80+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.80+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.80+ atoms. In the fifth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Mn+3.80+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.80+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.80+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.80+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.80+ atoms. F1- is bonded in a 3-coordinate geometry to three Mn+3.80+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn21Sn9O40 by Materials Project

Mn21Sn9O40 is Spinel-like structured and crystallizes in the tetragonal I-4 space group. The structure is three-dimensional. there are six inequivalent Mn+2.10+ sites. In the first Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with five SnO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.12–2.22 Å. In the second Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with five SnO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.12–2.22 Å. In the third Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with five SnO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.10–2.21 Å. In the fourth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six SnO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.19–2.22 Å. In the fifth Mn+2.10+ site, Mn+2.10+ is bonded to four equivalent O2- atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–59°. All Mn–O bond lengths are 2.10 Å. In the sixth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six SnO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.19–2.21 Å. There are three inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to four O2- atoms to form SnO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are two shorter (2.00 Å) and two longer (2.01 Å) Sn–O bond lengths. In the second Sn4+ site, Sn4+ is bonded to four O2- atoms to form SnO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are two shorter (2.01 Å) and two longer (2.02 Å) Sn–O bond lengths. In the third Sn4+ site, Sn4+ is bonded to four equivalent O2- atoms to form SnO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. All Sn–O bond lengths are 2.02 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn+2.10+ and one Sn4+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn+2.10+ and one Sn4+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn+2.10+ and one Sn4+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn+2.10+ and one Sn4+ atom. In the fifth O2- site, O2- is bonded to four Mn+2.10+ atoms to form distorted corner-sharing OMn4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn+2.10+ and one Sn4+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Mn+2.10+ and one Sn4+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn+2.10+ and one Sn4+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn+2.10+ and one Sn4+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three equivalent Mn+2.10+ and one Sn4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Mn5(BO4)4 by Materials Project

Mg3Mn5(BO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MnO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Mg–O bond distances ranging from 2.03–2.34 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MnO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Mg–O bond distances ranging from 2.02–2.33 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MnO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–67°. There are a spread of Mg–O bond distances ranging from 2.04–2.35 Å. There are five inequivalent Mn+2.80+ sites. In the first Mn+2.80+ site, Mn+2.80+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Mn–O bond distances ranging from 2.07–2.37 Å. In the second Mn+2.80+ site, Mn+2.80+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent MgO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Mn–O bond distances ranging from 1.95–2.42 Å. In the third Mn+2.80+ site, Mn+2.80+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with three MgO6 octahedra and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Mn–O bond distances ranging from 1.93–2.43 Å. In the fourth Mn+2.80+ site, Mn+2.80+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with three MgO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Mn–O bond distances ranging from 1.94–2.40 Å. In the fifth Mn+2.80+ site, Mn+2.80+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with two equivalent MnO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–67°. There are a spread of Mn–O bond distances ranging from 1.93–2.38 Å. There are four inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.41 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Mn+2.80+ atoms to form distorted OMn4 tetrahedra that share corners with two equivalent OMn4 tetrahedra and edges with two equivalent OMgMn3 tetrahedra. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Mg2+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+, one Mn+2.80+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Mn+2.80+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, two equivalent Mn+2.80+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Mn+2.80+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Mg2+ and one B3+ atom. In the eighth O2- site, O2- is bonded to one Mg2+ and three Mn+2.80+ atoms to form a mixture of distorted edge and corner-sharing OMgMn3 tetrahedra. In the ninth O2- site, O2- is bonded to one Mg2+ and three Mn+2.80+ atoms to form a mixture of distorted edge and corner-sharing OMgMn3 tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Mg2+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+, one Mn+2.80+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, two equivalent Mn+2.80+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, two equivalent Mn+2.80+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+, one Mn+2.80+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Mn+2.80+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Mn+2.80+ atoms to form distorted OMgMn3 tetrahedra that share corners with two equivalent OMgMn3 tetrahedra and edges with two equivalent OMn4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on CaMnFeO5 by Materials Project

CaMnFeO5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ca sites. In the first Ca site, Ca is bonded in a 7-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.92 Å. In the second Ca site, Ca is bonded in a 7-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.91 Å. In the third Ca site, Ca is bonded in a 7-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.92 Å. In the fourth Ca site, Ca is bonded in a 7-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.92 Å. There are four inequivalent Mn sites. In the first Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with four equivalent MnO6 octahedra and corners with two FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–17°. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. In the second Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with four equivalent MnO6 octahedra and corners with two FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–17°. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. In the third Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with four equivalent MnO6 octahedra and corners with two FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–17°. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. In the fourth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with four equivalent MnO6 octahedra and corners with two FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–17°. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. There are four inequivalent Fe sites. In the first Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with two MnO6 octahedra and corners with two equivalent FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–43°. There are a spread of Fe–O bond distances ranging from 1.84–1.88 Å. In the second Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with two MnO6 octahedra and corners with two equivalent FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Fe–O bond distances ranging from 1.84–1.88 Å. In the third Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with two MnO6 octahedra and corners with two equivalent FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Fe–O bond distances ranging from 1.84–1.88 Å. In the fourth Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with two MnO6 octahedra and corners with two equivalent FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Fe–O bond distances ranging from 1.83–1.88 Å. There are twenty inequivalent O sites. In the first O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Mn atoms. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Mn atoms. In the third O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Mn atoms. In the fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Mn atoms. In the fifth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Mn atoms. In the sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Mn atoms. In the seventh O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Mn atoms. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Mn atoms. In the ninth O site, O is bonded in a 2-coordinate geometry to two equivalent Ca, one Mn, and one Fe atom. In the tenth O site, O is bonded in a 2-coordinate geometry to two equivalent Ca, one Mn, and one Fe atom. In the eleventh O site, O is bonded in a 2-coordinate geometry to two equivalent Ca, one Mn, and one Fe atom. In the twelfth O site, O is bonded in a 2-coordinate geometry to two equivalent Ca, one Mn, and one Fe atom. In the thirteenth O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mn, and one Fe atom. In the fourteenth O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mn, and one Fe atom. In the fifteenth O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mn, and one Fe atom. In the sixteenth O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mn, and one Fe atom. In the seventeenth O site, O is bonded in a trigonal non-coplanar geometry to one Ca and two Fe atoms. In the eighteenth O site, O is bonded in a trigonal non-coplanar geometry to one Ca and two Fe atoms. In the nineteenth O site, O is bonded in a trigonal non-coplanar geometry to one Ca and two Fe atoms. In the twentieth O site, O is bonded in a trigonal non-coplanar geometry to one Ca and two Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr6Ca2Mn5(FeO8)3 by Materials Project

Sr6Ca2Mn5(FeO8)3 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are three inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.74–2.77 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.74–2.79 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.76 Å. Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.70–2.76 Å. There are five inequivalent Mn+4.60+ sites. In the first Mn+4.60+ site, Mn+4.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four FeO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.90–1.96 Å. In the second Mn+4.60+ site, Mn+4.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the third Mn+4.60+ site, Mn+4.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.91–1.95 Å. In the fourth Mn+4.60+ site, Mn+4.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the fifth Mn+4.60+ site, Mn+4.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There is one shorter (1.93 Å) and five longer (1.94 Å) Mn–O bond length. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four FeO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 1.91–1.97 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 1.95–1.99 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 1.94–1.99 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Mn+4.60+, and one Fe3+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Mn+4.60+, and one Fe3+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Mn+4.60+, and one Fe3+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn+4.60+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mn+4.60+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, and two Fe3+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, one Mn+4.60+, and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Mn+4.60+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Mn+4.60+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, and two Mn+4.60+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent Ca2+, and two Mn+4.60+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Mn+4.60+, and one Fe3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn+4.60+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn+4.60+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn4CoNi3Ge4 by Materials Project

Mn4CoNi3Ge4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Mn sites. In the first Mn site, Mn is bonded in a 5-coordinate geometry to one Co, five Ni, and five Ge atoms. The Mn–Co bond length is 2.77 Å. There are a spread of Mn–Ni bond distances ranging from 2.79–2.87 Å. There are three shorter (2.55 Å) and two longer (2.64 Å) Mn–Ge bond lengths. In the second Mn site, Mn is bonded in a 5-coordinate geometry to one Co, five Ni, and five Ge atoms. The Mn–Co bond length is 2.83 Å. There are three shorter (2.78 Å) and two longer (2.84 Å) Mn–Ni bond lengths. There are three shorter (2.55 Å) and two longer (2.63 Å) Mn–Ge bond lengths. In the third Mn site, Mn is bonded in a 5-coordinate geometry to two equivalent Co, four Ni, and five Ge atoms. Both Mn–Co bond lengths are 2.83 Å. There are a spread of Mn–Ni bond distances ranging from 2.78–2.86 Å. There are a spread of Mn–Ge bond distances ranging from 2.53–2.62 Å. In the fourth Mn site, Mn is bonded in a 5-coordinate geometry to two equivalent Co, four Ni, and five Ge atoms. Both Mn–Co bond lengths are 2.79 Å. There are one shorter (2.78 Å) and three longer (2.84 Å) Mn–Ni bond lengths. There are a spread of Mn–Ge bond distances ranging from 2.52–2.62 Å. Co is bonded to six Mn, two equivalent Ni, and four Ge atoms to form distorted CoMn6Ni2Ge4 cuboctahedra that share edges with two equivalent NiMn6Co2Ge4 cuboctahedra, faces with two equivalent CoMn6Ni2Ge4 cuboctahedra, and faces with two equivalent NiMn6Co2Ge4 cuboctahedra. Both Co–Ni bond lengths are 2.68 Å. There are three shorter (2.32 Å) and one longer (2.37 Å) Co–Ge bond lengths. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded in a 12-coordinate geometry to six Mn, two equivalent Ni, and four Ge atoms. Both Ni–Ni bond lengths are 2.66 Å. There are a spread of Ni–Ge bond distances ranging from 2.33–2.38 Å. In the second Ni site, Ni is bonded to six Mn, two equivalent Co, and four Ge atoms to form distorted NiMn6Co2Ge4 cuboctahedra that share edges with two equivalent CoMn6Ni2Ge4 cuboctahedra, faces with two equivalent CoMn6Ni2Ge4 cuboctahedra, and faces with two equivalent NiMn6Co2Ge4 cuboctahedra. There are three shorter (2.33 Å) and one longer (2.38 Å) Ni–Ge bond lengths. In the third Ni site, Ni is bonded in a 12-coordinate geometry to six Mn, two equivalent Ni, and four Ge atoms. There are a spread of Ni–Ge bond distances ranging from 2.34–2.39 Å. There are four inequivalent Ge sites. In the first Ge site, Ge is bonded in a 9-coordinate geometry to five Mn, one Co, and three Ni atoms. In the second Ge site, Ge is bonded in a 9-coordinate geometry to five Mn, one Co, and three Ni atoms. In the third Ge site, Ge is bonded in a 9-coordinate geometry to five Mn, two equivalent Co, and two Ni atoms. In the fourth Ge site, Ge is bonded in a 9-coordinate geometry to five Mn and four Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ho3Er9(MnBi2)2 by Materials Project

Er9Ho3(MnBi2)2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Er sites. In the first Er site, Er is bonded in a 4-coordinate geometry to two equivalent Mn and two Bi atoms. Both Er–Mn bond lengths are 2.87 Å. There are one shorter (3.23 Å) and one longer (3.24 Å) Er–Bi bond lengths. In the second Er site, Er is bonded to two equivalent Mn and two Bi atoms to form distorted corner-sharing ErMn2Bi2 tetrahedra. Both Er–Mn bond lengths are 2.87 Å. Both Er–Bi bond lengths are 3.23 Å. In the third Er site, Er is bonded in a 4-coordinate geometry to two equivalent Mn and two Bi atoms. Both Er–Mn bond lengths are 2.87 Å. There are one shorter (3.23 Å) and one longer (3.24 Å) Er–Bi bond lengths. In the fourth Er site, Er is bonded in a 5-coordinate geometry to one Mn and four Bi atoms. The Er–Mn bond length is 3.22 Å. All Er–Bi bond lengths are 3.32 Å. In the fifth Er site, Er is bonded in a 5-coordinate geometry to one Mn and four Bi atoms. The Er–Mn bond length is 3.22 Å. All Er–Bi bond lengths are 3.32 Å. In the sixth Er site, Er is bonded in a 5-coordinate geometry to one Mn and four Bi atoms. The Er–Mn bond length is 3.23 Å. There are two shorter (3.31 Å) and two longer (3.32 Å) Er–Bi bond lengths. In the seventh Er site, Er is bonded in a 5-coordinate geometry to one Mn and four Bi atoms. The Er–Mn bond length is 3.22 Å. There are two shorter (3.31 Å) and two longer (3.32 Å) Er–Bi bond lengths. In the eighth Er site, Er is bonded in a 5-coordinate geometry to one Mn and four Bi atoms. The Er–Mn bond length is 3.23 Å. There are two shorter (3.31 Å) and two longer (3.32 Å) Er–Bi bond lengths. In the ninth Er site, Er is bonded in a 5-coordinate geometry to one Mn and four Bi atoms. The Er–Mn bond length is 3.23 Å. There are two shorter (3.31 Å) and two longer (3.32 Å) Er–Bi bond lengths. There are three inequivalent Ho sites. In the first Ho site, Ho is bonded in a 4-coordinate geometry to two equivalent Mn and two Bi atoms. Both Ho–Mn bond lengths are 2.87 Å. Both Ho–Bi bond lengths are 3.24 Å. In the second Ho site, Ho is bonded in a 4-coordinate geometry to two equivalent Mn and two Bi atoms. Both Ho–Mn bond lengths are 2.87 Å. Both Ho–Bi bond lengths are 3.24 Å. In the third Ho site, Ho is bonded in a 4-coordinate geometry to two equivalent Mn and two Bi atoms. Both Ho–Mn bond lengths are 2.87 Å. Both Ho–Bi bond lengths are 3.24 Å. There are two inequivalent Mn sites. In the first Mn site, Mn is bonded in a 9-coordinate geometry to seven Er and two equivalent Ho atoms. In the second Mn site, Mn is bonded in a 9-coordinate geometry to five Er and four Ho atoms. There are four inequivalent Bi sites. In the first Bi site, Bi is bonded in a 9-coordinate geometry to seven Er and two Ho atoms. In the second Bi site, Bi is bonded in a 9-coordinate geometry to eight Er and one Ho atom. In the third Bi site, Bi is bonded in a 9-coordinate geometry to seven Er and two Ho atoms. In the fourth Bi site, Bi is bonded in a 9-coordinate geometry to eight Er and one Ho atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn4(P2O7)4 by Materials Project

Li5Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.59 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.83–1.97 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 1.83–1.95 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 45°. There are a spread of Li–O bond distances ranging from 1.90–1.97 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.63 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, and edges with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.47 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Li–O bond distances ranging from 1.89–1.98 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 1.90–2.09 Å. In the tenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.28 Å. There are eight inequivalent Mn+2.75+ sites. In the first Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.92–2.18 Å. In the second Mn+2.75+ site, Mn+2.75+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.14 Å. In the third Mn+2.75+ site, Mn+2.75+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with five PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.14 Å. In the fourth Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.96–2.20 Å. In the fifth Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.30 Å. In the sixth Mn+2.75+ site, Mn+2.75+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.12–2.69 Å. In the seventh Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.64 Å. In the eighth Mn+2.75+ site, Mn+2.75+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.98–2.46 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–55°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–47°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 33°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 40–62°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–50°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–47°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.75+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.75+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn+2.75+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.75+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non

36 MATERIALS SCIENCE↗

Materials Data on Gd3Mn3Ga2Si by Materials Project

Gd3Mn3SiGa2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Gd sites. In the first Gd site, Gd is bonded in a 5-coordinate geometry to six Mn, three Ga, and two equivalent Si atoms. There are a spread of Gd–Mn bond distances ranging from 3.20–3.35 Å. There are one shorter (2.97 Å) and two longer (2.99 Å) Gd–Ga bond lengths. Both Gd–Si bond lengths are 2.94 Å. In the second Gd site, Gd is bonded in a 5-coordinate geometry to six Mn, three Ga, and two equivalent Si atoms. There are a spread of Gd–Mn bond distances ranging from 3.22–3.38 Å. There are one shorter (2.97 Å) and two longer (2.98 Å) Gd–Ga bond lengths. Both Gd–Si bond lengths are 2.94 Å. In the third Gd site, Gd is bonded in a 5-coordinate geometry to six Mn, three Ga, and two equivalent Si atoms. There are a spread of Gd–Mn bond distances ranging from 3.19–3.37 Å. There are one shorter (2.96 Å) and two longer (3.00 Å) Gd–Ga bond lengths. Both Gd–Si bond lengths are 2.94 Å. There are three inequivalent Mn sites. In the first Mn site, Mn is bonded in a 12-coordinate geometry to six Gd, two Mn, three Ga, and one Si atom. There are one shorter (2.86 Å) and one longer (2.91 Å) Mn–Mn bond lengths. There are two shorter (2.66 Å) and one longer (2.82 Å) Mn–Ga bond lengths. The Mn–Si bond length is 2.71 Å. In the second Mn site, Mn is bonded in a 12-coordinate geometry to six Gd, two Mn, three Ga, and one Si atom. The Mn–Mn bond length is 2.85 Å. There are two shorter (2.65 Å) and one longer (2.83 Å) Mn–Ga bond lengths. The Mn–Si bond length is 2.74 Å. In the third Mn site, Mn is bonded in a 12-coordinate geometry to six Gd, two Mn, three Ga, and one Si atom. There are two shorter (2.66 Å) and one longer (2.79 Å) Mn–Ga bond lengths. The Mn–Si bond length is 2.74 Å. There are two inequivalent Ga sites. In the first Ga site, Ga is bonded in a 9-coordinate geometry to three Gd and six Mn atoms. In the second Ga site, Ga is bonded in a 9-coordinate geometry to six Gd and three Mn atoms. Si is bonded in a 9-coordinate geometry to six Gd and three Mn atoms.

36 MATERIALS SCIENCE↗

Materials Data on PrErMn4Co13 by Materials Project

ErPrMn4Co13 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. Er is bonded in a 10-coordinate geometry to three Mn and sixteen Co atoms. There are one shorter (2.99 Å) and two longer (3.26 Å) Er–Mn bond lengths. There are a spread of Er–Co bond distances ranging from 2.98–3.27 Å. Pr is bonded in a 10-coordinate geometry to one Mn and sixteen Co atoms. The Pr–Mn bond length is 3.04 Å. There are a spread of Pr–Co bond distances ranging from 2.99–3.32 Å. There are three inequivalent Mn sites. In the first Mn site, Mn is bonded in a 4-coordinate geometry to one Er, three Mn, and ten Co atoms. There are one shorter (2.53 Å) and two longer (2.57 Å) Mn–Mn bond lengths. There are a spread of Mn–Co bond distances ranging from 2.50–2.76 Å. In the second Mn site, Mn is bonded in a 12-coordinate geometry to one Pr, three Mn, and ten Co atoms. Both Mn–Mn bond lengths are 2.59 Å. There are a spread of Mn–Co bond distances ranging from 2.52–2.75 Å. In the third Mn site, Mn is bonded in a 12-coordinate geometry to one Er, two Mn, and eight Co atoms. There are a spread of Mn–Co bond distances ranging from 2.40–2.45 Å. There are eight inequivalent Co sites. In the first Co site, Co is bonded in a 1-coordinate geometry to one Er, one Pr, three Mn, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.39–2.61 Å. In the second Co site, Co is bonded in a 1-coordinate geometry to one Er, one Pr, three Mn, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.40–2.63 Å. In the third Co site, Co is bonded in a 12-coordinate geometry to one Er, one Pr, four Mn, and six Co atoms. There are a spread of Co–Co bond distances ranging from 2.52–2.67 Å. In the fourth Co site, Co is bonded to one Er, two equivalent Pr, two Mn, and seven Co atoms to form a mixture of distorted edge, corner, and face-sharing CoPr2ErMn2Co7 cuboctahedra. There are one shorter (2.43 Å) and two longer (2.46 Å) Co–Co bond lengths. In the fifth Co site, Co is bonded to one Er, two equivalent Pr, three Mn, and six Co atoms to form distorted CoPr2ErMn3Co6 cuboctahedra that share corners with ten CoPr2ErMn3Co6 cuboctahedra, edges with five CoPr2ErMn2Co7 cuboctahedra, and faces with seven CoPr2ErMn2Co7 cuboctahedra. Both Co–Co bond lengths are 2.46 Å. In the sixth Co site, Co is bonded to two equivalent Er, one Pr, two Mn, and seven Co atoms to form a mixture of distorted edge, corner, and face-sharing CoPrEr2Mn2Co7 cuboctahedra. The Co–Co bond length is 2.43 Å. In the seventh Co site, Co is bonded to two equivalent Er, one Pr, three Mn, and six Co atoms to form distorted CoPrEr2Mn3Co6 cuboctahedra that share corners with ten CoPr2ErMn2Co7 cuboctahedra, edges with five CoPr2ErMn3Co6 cuboctahedra, and faces with seven CoPr2ErMn2Co7 cuboctahedra. In the eighth Co site, Co is bonded in a 12-coordinate geometry to one Er, one Pr, two Mn, and eight Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on Yb6Mn25(Cl3O10)4 by Materials Project

Yb6Mn25(O10Cl3)4 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are three inequivalent Yb sites. In the first Yb site, Yb is bonded in a body-centered cubic geometry to eight equivalent O atoms. All Yb–O bond lengths are 2.43 Å. In the second Yb site, Yb is bonded in a body-centered cubic geometry to eight equivalent O atoms. All Yb–O bond lengths are 2.42 Å. In the third Yb site, Yb is bonded in an octahedral geometry to six O atoms. There are one shorter (2.22 Å) and five longer (2.23 Å) Yb–O bond lengths. There are five inequivalent Mn sites. In the first Mn site, Mn is bonded in a distorted rectangular see-saw-like geometry to four O and two equivalent Cl atoms. There is two shorter (1.89 Å) and two longer (2.00 Å) Mn–O bond length. Both Mn–Cl bond lengths are 2.81 Å. In the second Mn site, Mn is bonded in a distorted rectangular see-saw-like geometry to four O and two equivalent Cl atoms. There is two shorter (1.88 Å) and two longer (1.98 Å) Mn–O bond length. Both Mn–Cl bond lengths are 2.97 Å. In the third Mn site, Mn is bonded in a distorted rectangular see-saw-like geometry to four O and two Cl atoms. There is two shorter (1.89 Å) and two longer (1.98 Å) Mn–O bond length. There are one shorter (2.76 Å) and one longer (3.04 Å) Mn–Cl bond lengths. In the fourth Mn site, Mn is bonded in a distorted rectangular see-saw-like geometry to four O and two Cl atoms. There is two shorter (1.89 Å) and two longer (2.00 Å) Mn–O bond length. There are one shorter (2.77 Å) and one longer (3.01 Å) Mn–Cl bond lengths. In the fifth Mn site, Mn is bonded in an octahedral geometry to six Cl atoms. There are two shorter (2.67 Å) and four longer (2.72 Å) Mn–Cl bond lengths. There are five inequivalent O sites. In the first O site, O is bonded to one Yb and three Mn atoms to form a mixture of distorted edge and corner-sharing OYbMn3 trigonal pyramids. In the second O site, O is bonded in a trigonal planar geometry to one Yb and two equivalent Mn atoms. In the third O site, O is bonded in a distorted trigonal planar geometry to one Yb and two equivalent Mn atoms. In the fourth O site, O is bonded in a trigonal planar geometry to one Yb and two Mn atoms. In the fifth O site, O is bonded to one Yb and three Mn atoms to form a mixture of distorted edge and corner-sharing OYbMn3 trigonal pyramids. There are four inequivalent Cl sites. In the first Cl site, Cl is bonded in a 4-coordinate geometry to four equivalent Mn atoms. In the second Cl site, Cl is bonded in a 1-coordinate geometry to five Mn atoms. In the third Cl site, Cl is bonded in a 4-coordinate geometry to four Mn atoms. In the fourth Cl site, Cl is bonded in a 1-coordinate geometry to five Mn atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zr3TiMn8 by Materials Project

Zr3TiMn8 crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are three inequivalent Zr sites. In the first Zr site, Zr is bonded in a 12-coordinate geometry to one Zr, three equivalent Ti, and twelve Mn atoms. The Zr–Zr bond length is 3.09 Å. All Zr–Ti bond lengths are 2.98 Å. There are a spread of Zr–Mn bond distances ranging from 2.84–2.88 Å. In the second Zr site, Zr is bonded in a 12-coordinate geometry to four Zr and twelve Mn atoms. All Zr–Zr bond lengths are 3.01 Å. There are a spread of Zr–Mn bond distances ranging from 2.86–2.94 Å. In the third Zr site, Zr is bonded in a 9-coordinate geometry to three equivalent Zr, one Ti, and twelve Mn atoms. The Zr–Ti bond length is 3.00 Å. There are nine shorter (2.87 Å) and three longer (2.97 Å) Zr–Mn bond lengths. Ti is bonded in a 4-coordinate geometry to four Zr and twelve Mn atoms. There are a spread of Ti–Mn bond distances ranging from 2.85–2.88 Å. There are four inequivalent Mn sites. In the first Mn site, Mn is bonded to three equivalent Zr, three equivalent Ti, and six Mn atoms to form MnZr3Ti3Mn6 cuboctahedra that share corners with twelve MnZr4Ti2Mn6 cuboctahedra, edges with six equivalent MnZr3Ti3Mn6 cuboctahedra, and faces with twenty MnZr6Mn6 cuboctahedra. There are three shorter (2.45 Å) and three longer (2.48 Å) Mn–Mn bond lengths. In the second Mn site, Mn is bonded to six Zr and six Mn atoms to form MnZr6Mn6 cuboctahedra that share corners with twelve MnZr4Ti2Mn6 cuboctahedra, edges with six equivalent MnZr6Mn6 cuboctahedra, and faces with twenty MnZr3Ti3Mn6 cuboctahedra. All Mn–Mn bond lengths are 2.52 Å. In the third Mn site, Mn is bonded to four Zr, two equivalent Ti, and six Mn atoms to form MnZr4Ti2Mn6 cuboctahedra that share corners with eighteen MnZr3Ti3Mn6 cuboctahedra, edges with six MnZr5TiMn6 cuboctahedra, and faces with eighteen MnZr3Ti3Mn6 cuboctahedra. There are two shorter (2.40 Å) and two longer (2.47 Å) Mn–Mn bond lengths. In the fourth Mn site, Mn is bonded to five Zr, one Ti, and six Mn atoms to form MnZr5TiMn6 cuboctahedra that share corners with eighteen MnZr3Ti3Mn6 cuboctahedra, edges with six MnZr5TiMn6 cuboctahedra, and faces with eighteen MnZr3Ti3Mn6 cuboctahedra. There are two shorter (2.38 Å) and two longer (2.49 Å) Mn–Mn bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on CaMnBe2Si5O17 by Materials Project

CaBe2MnSi5O17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ca sites. In the first Ca site, Ca is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.35–2.98 Å. In the second Ca site, Ca is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.35–2.97 Å. In the third Ca site, Ca is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.35–2.96 Å. In the fourth Ca site, Ca is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.97 Å. There are six inequivalent Be sites. In the first Be site, Be is bonded to four O atoms to form BeO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Be–O bond distances ranging from 1.59–1.72 Å. In the second Be site, Be is bonded to four O atoms to form BeO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Be–O bond distances ranging from 1.59–1.72 Å. In the third Be site, Be is bonded to four O atoms to form BeO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Be–O bond distances ranging from 1.58–1.76 Å. In the fourth Be site, Be is bonded to four O atoms to form BeO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Be–O bond distances ranging from 1.58–1.76 Å. In the fifth Be site, Be is bonded to four O atoms to form BeO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Be–O bond distances ranging from 1.58–1.76 Å. In the sixth Be site, Be is bonded to four O atoms to form BeO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three SiO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Be–O bond distances ranging from 1.58–1.76 Å. There are four inequivalent Mn sites. In the first Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with two equivalent BeO4 tetrahedra, corners with four SiO4 tetrahedra, and edges with two equivalent BeO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.17 Å. In the second Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with two equivalent BeO4 tetrahedra, corners with four SiO4 tetrahedra, and edges with two equivalent BeO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.16 Å. In the third Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with two BeO4 tetrahedra, corners with four SiO4 tetrahedra, and edges with two BeO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.06 Å. In the fourth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with two BeO4 tetrahedra, corners with four SiO4 tetrahedra, and edges with two BeO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.05 Å. There are fifteen inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four MnO6 octahedra and corners with four BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–64°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four MnO6 octahedra and corners with four BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–63°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four MnO6 octahedra and corners with four BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–64°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four MnO6 octahedra and corners with four BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–63°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the fifth Si site, Si is bonded to four O atoms to form corner-sharing SiO4 tetrahedra. There is three shorter (1.62 Å) and one longer (1.63 Å) Si–O bond length. In the sixth Si site, Si is bonded to four O atoms to form corner-sharing SiO4 tetrahedra. There is three shorter (1.62 Å) and one longer (1.63 Å) Si–O bond length. In the seventh Si site, Si is bonded to four O atoms to form corner-sharing SiO4 tetrahedra. There is three shorter (1.62 Å) and one longer (1.63 Å) Si–O bond length. In the eighth Si site, Si is bonded to four O atoms to form corner-sharing SiO4 tetrahedra. There is three shorter (1.62 Å) and one longer (1.63 Å) Si–O bond length. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the thirteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fourteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra and corners with three SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fifteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra and corners with three SiO4 tetrahedra. There is three shorter (1.63 Å) and one longer (1.65 Å) Si–O bond length. There are sixty-eight inequivalent O sites. In the first O site, O is bonded in a distorted trigonal non-coplanar geometry to one Be, one Mn, and one Si atom. The O–Be bond length is 1.62 Å. In the second O site, O is bonded in a distorted trigonal non-coplanar geometry to one Be, one Mn, and one Si atom. The O–Be bond length is 1.62 Å. In the third O site, O is bonded in a distorted trigonal non-coplanar geometry to one Be, one Mn, and one Si atom. In the fourth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Be, one Mn, and one Si atom. In the fifth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Be, one Mn, and one Si atom. In the sixth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Be, one Mn, and one Si atom. In the seventh O site, O is bonded in a distorted trigonal non-coplanar geometry to one Be, one Mn, and one Si atom. In the eighth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Be, one Mn, and one Si atom. In the ninth O site, O is bonded in a 4-coordinate geometry to one Ca, one Be, one Mn, and one Si atom. In the tenth O site, O is bonded in a 4-coordinate geometry to one Ca, one Be, one Mn, and one Si atom. In the eleventh O site, O is bonded in a 4-coordinate geometry to one Ca, one Be, one Mn, and one Si atom. In the twelfth O site, O is bonded in a 4-coordinate geometry to one Ca, one Be, one Mn, and one Si atom. In the thirteenth O site, O is bonded in a 4-coordinate geometry to one Ca, one Be, one Mn, and one Si atom. The O–Be bond length is 1.72 Å. In the fourteenth O site, O is bonded in a 4-coordinate geometry to one Ca, one Be, one Mn, and one Si atom. The O–Be bond length is 1.72 Å. In the fifteenth O site, O is bonded in a 4-coordinate geometry to one Ca, one Be, one Mn, and one Si atom. In the sixteenth O site, O is bonded in a 4-coordinate geometry to one Ca, one Be, one Mn, and one Si atom. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the twentieth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to two Si atoms. Both O–Si bond lengths are 1.62 Å. In the twenty-second O site, O is bonded in a bent 150 degrees geometry to two Si atoms. Both O–Si bond lengths are 1.62 Å. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to two Si atoms. Both O–Si bond lengths are 1.62 Å. In the twenty-fourth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. Both O–Si bond lengths are 1.62 Å. In the twenty-fifth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. Both O–Si bond lengths are 1.62 Å. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. Both O–Si bond lengths are 1.62 Å. In the twenty-seventh O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the twenty-eighth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the twenty-ninth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the thirtieth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the thirty-first O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the thirty-second O site, O is bonded in a bent 150 degrees geometry to two Si atoms. The O–Si bond length is 1.64 Å. In the thirty-third O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the thirty-fourth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the thirty-fifth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the thirty-sixth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. The O–Si bond length is 1.63 Å. In the thirty-seventh O site, O is bonded in a bent 150 degrees geometry to two Si atoms. The O–Si bond length is 1.63 Å. In the thirty-eighth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. The O–Si bond length is 1.63 Å. In the thirty-ninth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. The O–Si bond length is 1.63 Å. In the fortieth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. The O–Si bond length is 1.63 Å. In the forty-first O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the forty-second O site, O is bonded in a bent 150 degrees geometry to two Si atoms. The O–Si bond length

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