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Materials Data on Sr2Ca2Mn3FeO12 by Materials Project

Sr2Ca2Mn3FeO12 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.75 Å. 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 SrO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are eight shorter (2.75 Å) and four longer (2.76 Å) Sr–O bond lengths. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.76 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with six CaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.75 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 CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.70–2.74 Å. In the second Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.70–2.72 Å. In the third Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.70–2.75 Å. In the fourth Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.70–2.73 Å. There are three inequivalent Mn+4.33+ sites. In the first Mn+4.33+ site, Mn+4.33+ 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 four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.90–1.94 Å. In the second Mn+4.33+ site, Mn+4.33+ 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 four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.90–1.95 Å. In the third Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.92–1.94 Å. 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 four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.92–1.97 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Mn+4.33+, 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+4.33+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Mn+4.33+, and one Fe3+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn+4.33+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Mn+4.33+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Mn+4.33+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn+4.33+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn+4.33+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Fe3+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Mn+4.33+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Mn+4.33+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Mn+4.33+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Mn+4.33+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Mn+4.33+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Mn+4.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr2Ca2TiMn3O12 by Materials Project

Sr2Ca2TiMn3O12 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.79 Å. 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 SrO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.79 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.69–2.78 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with six CaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.68–2.77 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 CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.64–2.76 Å. In the second Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.64–2.76 Å. 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 CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.68–2.78 Å. In the fourth Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.67–2.77 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.93–1.98 Å. There are three inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.92–1.94 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.90–1.94 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.90–1.94 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Mn4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Mn4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Mn4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Mn4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Mn4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Mn4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two equivalent Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Ti4+, and one Mn4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr3Ca5FeCo7O24 by Materials Project

Sr3Ca5FeCo7O24 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O 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 CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.69–2.76 Å. In the second Sr site, Sr is bonded to twelve O 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 CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.76 Å. There are four inequivalent Ca sites. In the first Ca site, Ca is bonded to twelve O 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 CoO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.64–2.70 Å. In the second Ca site, Ca is bonded to twelve O 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 CoO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.65–2.71 Å. In the third Ca site, Ca is bonded to twelve O 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 CoO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.65–2.74 Å. In the fourth Ca site, Ca is bonded to twelve O 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 CoO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.64–2.69 Å. Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six CoO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.93–1.97 Å. There are five inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four CoO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Co–O bond distances ranging from 1.87–1.95 Å. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent CoO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Co–O bond distances ranging from 1.85–1.91 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Co–O bond distances ranging from 1.89–1.92 Å. In the fourth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Co–O bond distances ranging from 1.91–1.95 Å. In the fifth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Co–O bond distances ranging from 1.89–1.92 Å. There are fourteen inequivalent O sites. In the first O site, O is bonded to two Sr, two Ca, one Fe, and one Co atom to form distorted OSr2Ca2FeCo octahedra that share corners with sixteen OSr2Ca2Co2 octahedra, edges with four OSr2Ca2Co2 octahedra, and faces with four OSr2Ca2FeCo octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the second O site, O is bonded to two Sr, two Ca, and two Co atoms to form distorted OSr2Ca2Co2 octahedra that share corners with sixteen OSr2Ca2Co2 octahedra, edges with four OSr2Ca2FeCo octahedra, and faces with four OSr2Ca2FeCo octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the third O site, O is bonded to two Sr, two Ca, and two Co atoms to form distorted OSr2Ca2Co2 octahedra that share corners with fourteen OSr2Ca2FeCo octahedra, edges with four OSr2Ca2FeCo octahedra, and faces with six OSr2Ca2Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the fourth O site, O is bonded to two Sr, two Ca, and two Co atoms to form distorted OSr2Ca2Co2 octahedra that share corners with fourteen OSr2Ca2FeCo octahedra, edges with four OSr2Ca2Co2 octahedra, and faces with six OSr2Ca2Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the fifth O site, O is bonded in a distorted linear geometry to one Sr, three Ca, one Fe, and one Co atom. In the sixth O site, O is bonded in a distorted linear geometry to one Sr, three Ca, and two Co atoms. In the seventh O site, O is bonded to one Sr, three Ca, and two Co atoms to form distorted OSrCa3Co2 octahedra that share corners with ten OSr2Ca2FeCo octahedra, edges with two equivalent OSrCa3Co2 octahedra, and faces with six OSr2Ca2Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the eighth O site, O is bonded to one Sr, three Ca, and two Co atoms to form distorted OSrCa3Co2 octahedra that share corners with ten OSr2Ca2FeCo octahedra, edges with two equivalent OSrCa3Co2 octahedra, and faces with six OSr2Ca2Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–61°. In the ninth O site, O is bonded to three Sr, one Ca, one Fe, and one Co atom to form distorted OSr3CaFeCo octahedra that share corners with sixteen OSr2Ca2Co2 octahedra, edges with four equivalent OSr3CaCo2 octahedra, and faces with six OSr2Ca2FeCo octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the tenth O site, O is bonded to three Sr, one Ca, and two Co atoms to form distorted OSr3CaCo2 octahedra that share corners with sixteen OSr2Ca2FeCo octahedra, edges with four OSr3CaFeCo octahedra, and faces with six OSr2Ca2FeCo octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the eleventh O site, O is bonded in a distorted linear geometry to four Ca, one Fe, and one Co atom. In the twelfth O site, O is bonded in a distorted linear geometry to four Ca and two Co atoms. In the thirteenth O site, O is bonded to three Sr, one Ca, and two Co atoms to form distorted OSr3CaCo2 octahedra that share corners with sixteen OSr2Ca2FeCo octahedra, edges with four equivalent OSr3CaCo2 octahedra, and faces with six OSr2Ca2Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the fourteenth O site, O is bonded in a distorted linear geometry to four Ca and two Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cu3Sn by Materials Project

Cu3Sn is beta-derived structured and crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are fourteen inequivalent Cu sites. In the first Cu site, Cu is bonded to eight Cu and four Sn atoms to form distorted CuCu8Sn4 cuboctahedra that share corners with six SnCu12 cuboctahedra, corners with twelve CuCu8Sn4 cuboctahedra, an edgeedge with one SnCu12 cuboctahedra, edges with seventeen CuCu8Sn4 cuboctahedra, faces with six SnCu12 cuboctahedra, and faces with fourteen CuCu8Sn4 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.61–2.98 Å. There are two shorter (2.75 Å) and two longer (2.82 Å) Cu–Sn bond lengths. In the second Cu site, Cu is bonded to eight Cu and four Sn atoms to form distorted CuCu8Sn4 cuboctahedra that share corners with eight SnCu12 cuboctahedra, corners with ten CuCu8Sn4 cuboctahedra, edges with eighteen CuCu8Sn4 cuboctahedra, faces with six SnCu12 cuboctahedra, and faces with fourteen CuCu8Sn4 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.59–2.98 Å. There are two shorter (2.76 Å) and two longer (2.83 Å) Cu–Sn bond lengths. In the third Cu site, Cu is bonded to eight Cu and four equivalent Sn atoms to form distorted CuCu8Sn4 cuboctahedra that share corners with eight SnCu12 cuboctahedra, corners with ten CuCu8Sn4 cuboctahedra, edges with eighteen CuCu8Sn4 cuboctahedra, faces with six SnCu12 cuboctahedra, and faces with fourteen CuCu8Sn4 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.58–3.00 Å. There are two shorter (2.77 Å) and two longer (2.83 Å) Cu–Sn bond lengths. In the fourth Cu site, Cu is bonded to eight Cu and four Sn atoms to form distorted CuCu8Sn4 cuboctahedra that share corners with eight SnCu12 cuboctahedra, corners with ten CuCu8Sn4 cuboctahedra, edges with eighteen CuCu8Sn4 cuboctahedra, faces with six SnCu12 cuboctahedra, and faces with fourteen CuCu8Sn4 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.59–3.01 Å. There are two shorter (2.77 Å) and two longer (2.83 Å) Cu–Sn bond lengths. In the fifth Cu site, Cu is bonded to eight Cu and four Sn atoms to form distorted CuCu8Sn4 cuboctahedra that share corners with six SnCu12 cuboctahedra, corners with twelve CuCu8Sn4 cuboctahedra, edges with five SnCu12 cuboctahedra, edges with thirteen CuCu8Sn4 cuboctahedra, faces with four SnCu12 cuboctahedra, and faces with sixteen CuCu8Sn4 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.57–2.97 Å. There are two shorter (2.77 Å) and two longer (2.83 Å) Cu–Sn bond lengths. In the sixth Cu site, Cu is bonded to eight Cu and four Sn atoms to form CuCu8Sn4 cuboctahedra that share corners with four SnCu12 cuboctahedra, corners with fourteen CuCu8Sn4 cuboctahedra, edges with six SnCu12 cuboctahedra, edges with twelve CuCu8Sn4 cuboctahedra, faces with four SnCu12 cuboctahedra, and faces with sixteen CuCu8Sn4 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.63–2.98 Å. There are three shorter (2.77 Å) and one longer (2.80 Å) Cu–Sn bond lengths. In the seventh Cu site, Cu is bonded to eight Cu and four Sn atoms to form CuCu8Sn4 cuboctahedra that share corners with four SnCu12 cuboctahedra, corners with fourteen CuCu8Sn4 cuboctahedra, edges with six SnCu12 cuboctahedra, edges with twelve CuCu8Sn4 cuboctahedra, faces with four SnCu12 cuboctahedra, and faces with sixteen CuCu8Sn4 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.57–2.96 Å. There are three shorter (2.77 Å) and one longer (2.80 Å) Cu–Sn bond lengths. In the eighth Cu site, Cu is bonded to eight Cu and four Sn atoms to form CuCu8Sn4 cuboctahedra that share corners with four SnCu12 cuboctahedra, corners with fourteen CuCu8Sn4 cuboctahedra, edges with six SnCu12 cuboctahedra, edges with twelve CuCu8Sn4 cuboctahedra, faces with four SnCu12 cuboctahedra, and faces with sixteen CuCu8Sn4 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.68–2.98 Å. There are three shorter (2.77 Å) and one longer (2.80 Å) Cu–Sn bond lengths. In the ninth Cu site, Cu is bonded to eight Cu and four Sn atoms to form CuCu8Sn4 cuboctahedra that share corners with four SnCu12 cuboctahedra, corners with fourteen CuCu8Sn4 cuboctahedra, edges with six SnCu12 cuboctahedra, edges with twelve CuCu8Sn4 cuboctahedra, faces with four SnCu12 cuboctahedra, and faces with sixteen CuCu8Sn4 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.57–2.98 Å. There are three shorter (2.77 Å) and one longer (2.80 Å) Cu–Sn bond lengths. In the tenth Cu site, Cu is bonded to eight Cu and four Sn atoms to form CuCu8Sn4 cuboctahedra that share corners with four SnCu12 cuboctahedra, corners with fourteen CuCu8Sn4 cuboctahedra, edges with six SnCu12 cuboctahedra, edges with twelve CuCu8Sn4 cuboctahedra, faces with four SnCu12 cuboctahedra, and faces with sixteen CuCu8Sn4 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.57–2.64 Å. There are three shorter (2.77 Å) and one longer (2.80 Å) Cu–Sn bond lengths. In the eleventh Cu site, Cu is bonded to eight Cu and four Sn atoms to form distorted CuCu8Sn4 cuboctahedra that share corners with four SnCu12 cuboctahedra, corners with fourteen CuCu8Sn4 cuboctahedra, edges with six SnCu12 cuboctahedra, edges with twelve CuCu8Sn4 cuboctahedra, faces with four SnCu12 cuboctahedra, and faces with sixteen CuCu8Sn4 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.63–2.83 Å. There are a spread of Cu–Sn bond distances ranging from 2.74–2.77 Å. In the twelfth Cu site, Cu is bonded to eight Cu and four Sn atoms to form distorted CuCu8Sn4 cuboctahedra that share corners with four SnCu12 cuboctahedra, corners with fourteen CuCu8Sn4 cuboctahedra, edges with six SnCu12 cuboctahedra, edges with twelve CuCu8Sn4 cuboctahedra, faces with four SnCu12 cuboctahedra, and faces with sixteen CuCu8Sn4 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.62–2.86 Å. There are a spread of Cu–Sn bond distances ranging from 2.75–2.77 Å. In the thirteenth Cu site, Cu is bonded to eight Cu and four Sn atoms to form distorted CuCu8Sn4 cuboctahedra that share corners with four SnCu12 cuboctahedra, corners with fourteen CuCu8Sn4 cuboctahedra, edges with six SnCu12 cuboctahedra, edges with twelve CuCu8Sn4 cuboctahedra, faces with four SnCu12 cuboctahedra, and faces with sixteen CuCu8Sn4 cuboctahedra. There are one shorter (2.78 Å) and one longer (2.86 Å) Cu–Cu bond lengths. There are two shorter (2.75 Å) and two longer (2.76 Å) Cu–Sn bond lengths. In the fourteenth Cu site, Cu is bonded to eight Cu and four Sn atoms to form distorted CuCu8Sn4 cuboctahedra that share corners with four SnCu12 cuboctahedra, corners with fourteen CuCu8Sn4 cuboctahedra, edges with six SnCu12 cuboctahedra, edges with twelve CuCu8Sn4 cuboctahedra, faces with four SnCu12 cuboctahedra, and faces with sixteen CuCu8Sn4 cuboctahedra. There are one shorter (2.75 Å) and one longer (2.89 Å) Cu–Cu bond lengths. There are a spread of Cu–Sn bond distances ranging from 2.75–2.77 Å. There are five inequivalent Sn sites. In the first Sn site, Sn is bonded to twelve Cu atoms to form SnCu12 cuboctahedra that share corners with two equivalent SnCu12 cuboctahedra, corners with sixteen CuCu8Sn4 cuboctahedra, edges with six SnCu12 cuboctahedra, edges with twelve CuCu8Sn4 cuboctahedra, faces with six equivalent SnCu12 cuboctahedra, and faces with fourteen CuCu8Sn4 cuboctahedra. In the second Sn site, Sn is bonded to twelve Cu atoms to form SnCu12 cuboctahedra that share corners with two equivalent SnCu12 cuboctahedra, corners with sixteen CuCu8Sn4 cuboctahedra, edges with six SnCu12 cuboctahedra, edges with twelve CuCu8Sn4 cuboctahedra, faces with six SnCu12 cuboctahedra, and faces with fourteen CuCu8Sn4 cuboctahedra. In the third Sn site, Sn is bonded to twelve Cu atoms to form SnCu12 cuboctahedra that share corners with four SnCu12 cuboctahedra, corners with fourteen CuCu8Sn4 cuboctahedra, edges with five SnCu12 cuboctahedra, edges with thirteen CuCu8Sn4 cuboctahedra, faces with six SnCu12 cuboctahedra, and faces with fourteen CuCu8Sn4 cuboctahedra. In the fourth Sn site, Sn is bonded to twelve Cu atoms to form SnCu12 cuboctahedra that share corners with four SnCu12 cuboctahedra, corners with fourteen CuCu8Sn4 cuboctahedra, an edgeedge with one SnCu12 cuboctahedra, edges with seventeen CuCu8Sn4 cuboctahedra, faces with eight SnCu12 cuboctahedra, and faces with twelve CuCu8Sn4 cuboctahedra. In the fifth Sn site, Sn is bonded to twelve Cu atoms to form SnCu12 cuboctahedra that share corners with two equivalent SnCu12 cuboctahedra, corners with sixteen CuCu8Sn4 cuboctahedra, edges with six SnCu12 cuboctahedra, edges with twelve CuCu8Sn4 cuboctahedra, faces with six SnCu12 cuboctahedra, and faces with fourteen CuCu8Sn4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sr4Ca4FeCo7O24 by Materials Project

Sr4Ca4FeCo7O24 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Cm 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 four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, a faceface with one FeO6 octahedra, and faces with seven CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.68–2.79 Å. In the second Sr site, Sr is bonded to twelve O 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 CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.82 Å. In the third Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with six CaO12 cuboctahedra, a faceface with one FeO6 octahedra, and faces with seven CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.68–2.81 Å. There are three inequivalent Ca sites. In the first Ca site, Ca is bonded to twelve O atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, a faceface with one FeO6 octahedra, and faces with seven CoO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.60–2.82 Å. In the second Ca site, Ca is bonded to twelve O atoms to form CaO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, a faceface with one FeO6 octahedra, and faces with seven CoO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.62–2.80 Å. In the third Ca site, Ca is bonded to twelve O atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one FeO6 octahedra, and faces with seven CoO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.64–2.80 Å. Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six CoO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.92–2.04 Å. There are five inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four CoO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Co–O bond distances ranging from 1.79–1.97 Å. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent CoO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Co–O bond distances ranging from 1.76–2.05 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Co–O bond distances ranging from 1.82–2.02 Å. In the fourth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Co–O bond distances ranging from 1.89–1.91 Å. In the fifth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is five shorter (1.89 Å) and one longer (1.92 Å) Co–O bond length. There are fourteen inequivalent O sites. In the first O site, O is bonded to two Sr, two Ca, one Fe, and one Co atom to form distorted OSr2Ca2FeCo octahedra that share corners with sixteen OSr2Ca2Co2 octahedra, edges with four OSr2Ca2Co2 octahedra, and faces with four OSr2Ca2FeCo octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the second O site, O is bonded to two Sr, two Ca, and two Co atoms to form distorted OSr2Ca2Co2 octahedra that share corners with fourteen OSr2Ca2Co2 octahedra, edges with four OSr2Ca2FeCo octahedra, and faces with five OSr2Ca2FeCo octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the third O site, O is bonded to two Sr, two Ca, and two Co atoms to form distorted OSr2Ca2Co2 octahedra that share corners with sixteen OSr2Ca2FeCo octahedra, edges with four OSr2Ca2FeCo octahedra, and faces with four OSr2Ca2Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. In the fourth O site, O is bonded to two Sr, two Ca, and two Co atoms to form distorted OSr2Ca2Co2 octahedra that share corners with fourteen OSr2Ca2FeCo octahedra, edges with four OSr2Ca2Co2 octahedra, and faces with five OSr2Ca2Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the fifth O site, O is bonded to two Sr, two Ca, one Fe, and one Co atom to form distorted OSr2Ca2FeCo octahedra that share corners with sixteen OSr2Ca2FeCo octahedra, edges with four OSr2Ca2Co2 octahedra, and faces with four OSr2Ca2FeCo octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the sixth O site, O is bonded to two Sr, two Ca, and two Co atoms to form distorted OSr2Ca2Co2 octahedra that share corners with fourteen OSr2Ca2Co2 octahedra, edges with four OSr2Ca2FeCo octahedra, and faces with five OSr2Ca2FeCo octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the seventh O site, O is bonded to two Sr, two Ca, and two Co atoms to form distorted OSr2Ca2Co2 octahedra that share corners with sixteen OSr2Ca2FeCo octahedra, edges with four OSr2Ca2FeCo octahedra, and faces with four OSr2Ca2Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. In the eighth O site, O is bonded to two Sr, two Ca, and two Co atoms to form distorted OSr2Ca2Co2 octahedra that share corners with fourteen OSr2Ca2FeCo octahedra, edges with four OSr2Ca2Co2 octahedra, and faces with five OSr2Ca2Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the ninth O site, O is bonded in a distorted linear geometry to three Sr, one Ca, one Fe, and one Co atom. In the tenth O site, O is bonded in a distorted linear geometry to three Sr, one Ca, and two Co atoms. In the eleventh O site, O is bonded in a distorted linear geometry to one Sr, three Ca, one Fe, and one Co atom. In the twelfth O site, O is bonded in a distorted linear geometry to one Sr, three Ca, and two Co atoms. In the thirteenth O site, O is bonded to three Sr, one Ca, and two Co atoms to form distorted OSr3CaCo2 octahedra that share corners with sixteen OSr2Ca2FeCo octahedra and faces with eight OSr2Ca2Co2 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. In the fourteenth O site, O is bonded in a distorted linear geometry to one Sr, three Ca, and two Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr5Ca3Fe7CoO24 by Materials Project

Sr5Ca3Fe7CoO24 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, a faceface with one CoO6 octahedra, and faces with seven FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.79 Å. In the second Sr site, Sr is bonded to twelve O atoms to form SrO12 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 CoO6 octahedra, and faces with seven FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.78 Å. In the third Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, a faceface with one CoO6 octahedra, and faces with seven FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.74–2.79 Å. In the fourth Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, a faceface with one CoO6 octahedra, and faces with seven FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.78 Å. There are two inequivalent Ca sites. In the first Ca site, Ca is bonded to twelve O atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, a faceface with one CoO6 octahedra, and faces with seven FeO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.69–2.75 Å. In the second Ca site, Ca is bonded to twelve O atoms to form CaO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, a faceface with one CoO6 octahedra, and faces with seven FeO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.70–2.72 Å. There are five inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.93–1.96 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent FeO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.93–2.00 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four FeO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.92–2.01 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.92–1.95 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.93–1.96 Å. Co is bonded to six O atoms to form CoO6 octahedra that share corners with six FeO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Co–O bond distances ranging from 1.87–1.91 Å. There are fourteen inequivalent O sites. In the first O site, O is bonded in a distorted linear geometry to two Sr, two Ca, and two Fe atoms. In the second O site, O is bonded to two Sr, two Ca, and two Fe atoms to form distorted OSr2Ca2Fe2 octahedra that share corners with ten OSr3CaFe2 octahedra and faces with five OSr2Ca2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the third O site, O is bonded in a distorted linear geometry to two Sr, two Ca, and two Fe atoms. In the fourth O site, O is bonded in a distorted linear geometry to two Sr, two Ca, one Fe, and one Co atom. In the fifth O site, O is bonded to three Sr, one Ca, and two Fe atoms to form distorted OSr3CaFe2 octahedra that share corners with twelve OSr3CaFe2 octahedra, edges with four OSr3CaFe2 octahedra, and faces with five OSr2Ca2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the sixth O site, O is bonded to three Sr, one Ca, and two Fe atoms to form distorted OSr3CaFe2 octahedra that share corners with fourteen OSr2Ca2Fe2 octahedra, edges with four OSr3CaFe2 octahedra, and faces with five OSr2Ca2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the seventh O site, O is bonded to three Sr, one Ca, and two Fe atoms to form distorted OSr3CaFe2 octahedra that share corners with fourteen OSr2Ca2Fe2 octahedra, edges with four OSr3CaFe2 octahedra, and faces with four OSr3CaFe2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the eighth O site, O is bonded to three Sr, one Ca, one Fe, and one Co atom to form distorted OSr3CaFeCo octahedra that share corners with fourteen OSr2Ca2Fe2 octahedra, edges with four OSr3CaFe2 octahedra, and faces with four OSr3CaFe2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the ninth O site, O is bonded to four Sr and two Fe atoms to form distorted OSr4Fe2 octahedra that share corners with fourteen OSr2Ca2Fe2 octahedra, edges with four OSr4FeCo octahedra, and faces with five OSr2Ca2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the tenth O site, O is bonded to four Sr, one Fe, and one Co atom to form distorted OSr4FeCo octahedra that share corners with twelve OSr3CaFe2 octahedra, edges with four equivalent OSr4Fe2 octahedra, and faces with six OSr2Ca2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the eleventh O site, O is bonded in a distorted linear geometry to one Sr, three Ca, and two Fe atoms. In the twelfth O site, O is bonded in a distorted linear geometry to one Sr, three Ca, one Fe, and one Co atom. In the thirteenth O site, O is bonded to four Sr and two Fe atoms to form distorted OSr4Fe2 octahedra that share corners with sixteen OSr2Ca2Fe2 octahedra, edges with four equivalent OSr4Fe2 octahedra, and faces with four OSr3CaFe2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the fourteenth O site, O is bonded in a distorted linear geometry to one Sr, three Ca, and two Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba10Co7(IrO10)3 by Materials Project

Ba10Co7(IrO10)3 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are ten inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two CoO6 octahedra, and faces with six IrO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–2.93 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with three equivalent IrO6 octahedra, and faces with five CoO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.85–3.01 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent CoO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one IrO6 octahedra, and faces with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Ba–O bond distances ranging from 2.87–3.05 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent CoO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one IrO6 octahedra, and faces with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Ba–O bond distances ranging from 2.83–3.11 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent CoO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one IrO6 octahedra, and faces with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Ba–O bond distances ranging from 2.83–3.14 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent CoO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with seven CoO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Ba–O bond distances ranging from 2.89–3.04 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent IrO6 octahedra, corners with three equivalent CoO6 octahedra, faces with eight BaO12 cuboctahedra, faces with three equivalent IrO6 octahedra, and faces with three equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–19°. There are a spread of Ba–O bond distances ranging from 2.79–3.28 Å. In the eighth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent IrO6 octahedra, corners with three equivalent CoO6 octahedra, faces with eight BaO12 cuboctahedra, and faces with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 8–18°. There are a spread of Ba–O bond distances ranging from 2.88–3.20 Å. In the ninth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with six CoO6 octahedra, faces with eight BaO12 cuboctahedra, faces with three equivalent IrO6 octahedra, and faces with three equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ba–O bond distances ranging from 2.89–3.17 Å. In the tenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent IrO6 octahedra, corners with three equivalent CoO6 octahedra, faces with eight BaO12 cuboctahedra, faces with three equivalent IrO6 octahedra, and faces with three equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 10–18°. There are a spread of Ba–O bond distances ranging from 2.81–3.24 Å. There are three inequivalent Ir5+ sites. In the first Ir5+ site, Ir5+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent CoO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ir–O bond distances ranging from 1.94–1.98 Å. In the second Ir5+ site, Ir5+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent CoO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ir–O bond distances ranging from 1.95–2.03 Å. In the third Ir5+ site, Ir5+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent CoO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Ir–O bond distances ranging from 1.95–2.04 Å. There are seven inequivalent Co+3.57+ sites. In the first Co+3.57+ site, Co+3.57+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent CoO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of Co–O bond distances ranging from 1.90–2.14 Å. In the second Co+3.57+ site, Co+3.57+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent IrO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one CoO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Co–O bond distances ranging from 1.92–2.10 Å. In the third Co+3.57+ site, Co+3.57+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent CoO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of Co–O bond distances ranging from 1.82–2.02 Å. In the fourth Co+3.57+ site, Co+3.57+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent IrO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Co–O bond distances ranging from 1.96–2.07 Å. In the fifth Co+3.57+ site, Co+3.57+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent IrO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Co–O bond distances ranging from 1.96–2.09 Å. In the sixth Co+3.57+ site, Co+3.57+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with two CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.94 Å. In the seventh Co+3.57+ site, Co+3.57+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with two CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.92 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ir5+, and one Co+3.57+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ir5+, and one Co+3.57+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Co+3.57+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Co+3.57+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ir5+, and one Co+3.57+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ir5+, and one Co+3.57+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ir5+, and one Co+3.57+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ir5+, and one Co+3.57+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.57+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.57+ atoms. In the eleventh O2- site, O2- is bonded in a distorted L-shaped geometry to four Ba2+ and two Co+3.57+ atoms. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.57+ atoms. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.57+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.57+ atoms. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.57+ atoms. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Co+3.57+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Ir5+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Ir5+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+, one Ir5+, and one Co+3.57+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+, one Ir5+, and one Co+3.57+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K3Ba7Ti10(O9F)3 by Materials Project

K3Ba7Ti10(O9F)3 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to eight O2- and four equivalent F1- atoms to form KO8F4 cuboctahedra that share corners with four equivalent KO8F4 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with two BaO12 cuboctahedra, faces with four equivalent KO8F4 cuboctahedra, and faces with eight TiO5F octahedra. There are four shorter (2.87 Å) and four longer (2.89 Å) K–O bond lengths. All K–F bond lengths are 2.82 Å. In the second K1+ site, K1+ is bonded to eight O2- and four equivalent F1- atoms to form KO8F4 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight KO8F4 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five KO8F4 cuboctahedra, and faces with eight TiO5F octahedra. There are four shorter (2.84 Å) and four longer (2.91 Å) K–O bond lengths. All K–F bond lengths are 2.82 Å. In the third K1+ site, K1+ is bonded to eight O2- and four equivalent F1- atoms to form KO8F4 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight KO8F4 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with five KO8F4 cuboctahedra, and faces with eight TiO4F2 octahedra. There are four shorter (2.83 Å) and four longer (2.92 Å) K–O bond lengths. All K–F bond lengths are 2.82 Å. There are seven inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent KO8F4 cuboctahedra, corners with eight BaO12 cuboctahedra, a faceface with one KO8F4 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–2.89 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.86 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.86 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.86 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.86 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent KO8F4 cuboctahedra, corners with eight BaO12 cuboctahedra, a faceface with one KO8F4 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.80–2.89 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight KO8F4 cuboctahedra, faces with two KO8F4 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight TiO5F octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.84 Å. There are ten 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 octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.00 Å) and two longer (2.04 Å) Ti–O bond lengths. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.00 Å) and two longer (2.04 Å) Ti–O bond lengths. In the fourth 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 octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 2.00–2.06 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the sixth Ti4+ site, Ti4+ is bonded to five O2- and one F1- atom to form TiO5F octahedra that share corners with six TiO5F octahedra, faces with four equivalent KO8F4 cuboctahedra, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is one shorter (1.95 Å) and four longer (2.00 Å) Ti–O bond length. The Ti–F bond length is 2.14 Å. In the seventh Ti4+ site, Ti4+ is bonded to five O2- and one F1- atom to form TiO5F octahedra that share corners with six TiO5F octahedra, faces with four equivalent KO8F4 cuboctahedra, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is one shorter (1.96 Å) and four longer (2.00 Å) Ti–O bond length. The Ti–F bond length is 2.13 Å. In the eighth Ti4+ site, Ti4+ is bonded to five O2- and one F1- atom to form TiO5F octahedra that share corners with six TiO5F octahedra, faces with four equivalent KO8F4 cuboctahedra, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is one shorter (1.96 Å) and four longer (2.00 Å) Ti–O bond length. The Ti–F bond length is 2.12 Å. In the ninth Ti4+ site, Ti4+ is bonded to four equivalent O2- and two F1- atoms to form TiO4F2 octahedra that share corners with six TiO5F octahedra and faces with eight KO8F4 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Ti–O bond lengths are 2.00 Å. Both Ti–F bond lengths are 2.05 Å. In the tenth Ti4+ site, Ti4+ is bonded to five O2- and one F1- atom to form TiO5F octahedra that share corners with six TiO4F2 octahedra, faces with four equivalent KO8F4 cuboctahedra, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There is one shorter (1.95 Å) and four longer (2.00 Å) Ti–O bond length. The Ti–F bond length is 2.15 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Ba2+, and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Ba2+, and two equivalent Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Ba2+, and two equivalent Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two equivalent Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Ba2+, and two equivalent Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Ti4+ atoms. There are three inequivalent F1- sites. In the first F1- site, F1- is bonded to four equivalent K1+ and two Ti4+ atoms to form a mixture of distorted corner and edge-sharing FK4Ti2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second F1- site, F1- is bonded in a distorted linear geometry to four equivalent K1+ and two Ti4+ atoms. In the third F1- site, F1- is bonded in a distorted linear geometry to four equivalent K1+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr16Fe6Co2Mo8O45 by Materials Project

Sr16Mo8Fe6Co2O45 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with two equivalent CoO6 octahedra, faces with four MoO6 octahedra, and faces with two equivalent FeO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.64–3.15 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.57–3.13 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with two equivalent CoO6 octahedra, faces with four MoO6 octahedra, and faces with two equivalent FeO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.65–3.17 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–3.24 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.58–3.14 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–3.02 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.19 Å. In the eighth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, faces with two equivalent MoO6 octahedra, faces with two equivalent FeO6 octahedra, faces with two equivalent FeO5 square pyramids, and faces with two equivalent MoO5 trigonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.63–3.17 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–2.99 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.59–3.02 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.66–3.08 Å. In the twelfth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, faces with two equivalent MoO6 octahedra, faces with two equivalent FeO6 octahedra, faces with two equivalent FeO5 square pyramids, and faces with two equivalent MoO5 trigonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.63–3.18 Å. In the thirteenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–3.08 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.61–3.01 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.65–3.04 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–3.08 Å. There are eight inequivalent Mo+4.50+ sites. In the first Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent FeO5 square pyramids, and faces with four SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mo–O bond distances ranging from 1.87–2.06 Å. In the second Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five CoO6 octahedra, a cornercorner with one FeO5 square pyramid, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Mo–O bond distances ranging from 1.89–1.99 Å. In the third Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Mo–O bond distances ranging from 1.93–1.97 Å. In the fourth Mo+4.50+ site, Mo+4.50+ is bonded to five O2- atoms to form MoO5 square pyramids that share a cornercorner with one CoO6 octahedra and corners with four equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–21°. There are a spread of Mo–O bond distances ranging from 1.89–2.03 Å. In the fifth Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two FeO6 octahedra, corners with four equivalent FeO5 square pyramids, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Mo–O bond distances ranging from 1.86–2.09 Å. In the sixth Mo+4.50+ site, Mo+4.50+ is bonded to five O2- atoms to form MoO5 trigonal bipyramids that share corners with four equivalent FeO6 octahedra, a cornercorner with one FeO5 square pyramid, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–26°. There are a spread of Mo–O bond distances ranging from 1.89–2.01 Å. In the seventh Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two FeO6 octahedra, corners with four equivalent FeO5 square pyramids, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 1.89–2.06 Å. In the eighth Mo+4.50+ site, Mo+4.50+ is bonded to five O2- atoms to form MoO5 trigonal bipyramids that share corners with four equivalent FeO6 octahedra, a cornercorner with one FeO5 square pyramid, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–24°. There is three shorter (1.89 Å) and two longer (2.03 Å) Mo–O bond length. There are six inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two MoO6 octahedra and corners with four equivalent MoO5 square pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Fe–O bond distances ranging from 2.04–2.22 Å. In the second Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with four equivalent MoO6 octahedra, a cornercorner with one MoO5 trigonal bipyramid, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 15–17°. There are a spread of Fe–O bond distances ranging from 1.99–2.09 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two MoO6 octahedra, corners with four equivalent MoO5 trigonal bipyramids, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 2.06–2.22 Å. In the fourth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with five MoO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–15°. There are a spread of Fe–O bond distances ranging from 2.00–2.17 Å. In the fifth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with four equivalent MoO6 octahedra, a cornercorner with one MoO5 trigonal bipyramid, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 15–16°. There are a spread of Fe–O bond distances ranging from 2.00–2.14 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two MoO6 octahedra, corners with four equivalent MoO5 trigonal bipyramids, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 2.05–2.22 Å. There are two inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Co–O bond distances ranging from 2.06–2.13 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five MoO6 octahedra, a cornercorner with one MoO5 square pyramid, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Co–O bond distances ranging from 1.97–2.15 Å. There are forty-five inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sr2+, one Mo+4.50+, and one Co2+ atom to form distorted corner-sharing OSr4CoMo octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry

36 MATERIALS SCIENCE↗

Materials Data on K3Na5VMo7O24 by Materials Project

K3Na5VMo7O24 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight NaO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four NaO12 cuboctahedra, a faceface with one VO6 octahedra, and faces with seven MoO6 octahedra. There are a spread of K–O bond distances ranging from 2.78–2.86 Å. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, a faceface with one VO6 octahedra, and faces with seven MoO6 octahedra. There are a spread of K–O bond distances ranging from 2.79–2.87 Å. There are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, a faceface with one VO6 octahedra, and faces with seven MoO6 octahedra. There are a spread of Na–O bond distances ranging from 2.75–2.85 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent KO12 cuboctahedra, faces with six NaO12 cuboctahedra, a faceface with one VO6 octahedra, and faces with seven MoO6 octahedra. There are a spread of Na–O bond distances ranging from 2.73–2.84 Å. In the third Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight NaO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four NaO12 cuboctahedra, a faceface with one VO6 octahedra, and faces with seven MoO6 octahedra. There are a spread of Na–O bond distances ranging from 2.73–2.84 Å. In the fourth Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, a faceface with one VO6 octahedra, and faces with seven MoO6 octahedra. There are a spread of Na–O bond distances ranging from 2.74–2.84 Å. V2+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six MoO6 octahedra, faces with three KO12 cuboctahedra, and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of V–O bond distances ranging from 1.92–2.02 Å. There are five inequivalent Mo+5.43+ sites. In the first Mo+5.43+ site, Mo+5.43+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six MoO6 octahedra, faces with three KO12 cuboctahedra, and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 2.04–2.07 Å. In the second Mo+5.43+ site, Mo+5.43+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six MoO6 octahedra, faces with three KO12 cuboctahedra, and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 1.90–2.04 Å. In the third Mo+5.43+ site, Mo+5.43+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six MoO6 octahedra, faces with three KO12 cuboctahedra, and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 1.90–2.05 Å. In the fourth Mo+5.43+ site, Mo+5.43+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four MoO6 octahedra, faces with three KO12 cuboctahedra, and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 1.93–1.96 Å. In the fifth Mo+5.43+ site, Mo+5.43+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four equivalent MoO6 octahedra, faces with three KO12 cuboctahedra, and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 1.92–2.03 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two Mo+5.43+ atoms. In the second O2- site, O2- is bonded to one K1+, three Na1+, and two Mo+5.43+ atoms to form distorted OKNa3Mo2 octahedra that share corners with eight OK2Na2Mo2 octahedra and faces with five OKNa3Mo2 octahedra. The corner-sharing octahedra tilt angles range from 1–60°. In the third O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two Mo+5.43+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, one V2+, and one Mo+5.43+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, and two Mo+5.43+ atoms. In the sixth O2- site, O2- is bonded to two K1+, two Na1+, and two Mo+5.43+ atoms to form distorted OK2Na2Mo2 octahedra that share corners with twelve OKNa3Mo2 octahedra, edges with two equivalent OK2Na2VMo octahedra, and faces with five OKNa3Mo2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the seventh O2- site, O2- is bonded to two K1+, two Na1+, and two Mo+5.43+ atoms to form distorted OK2Na2Mo2 octahedra that share corners with fourteen OKNa3Mo2 octahedra, edges with two equivalent OK2Na2VMo octahedra, and faces with three OK2Na2Mo2 octahedra. The corner-sharing octahedra tilt angles range from 2–61°. In the eighth O2- site, O2- is bonded to two K1+, two Na1+, one V2+, and one Mo+5.43+ atom to form distorted OK2Na2VMo octahedra that share corners with six OK2Na2Mo2 octahedra, edges with four OK2Na2Mo2 octahedra, and faces with five OKNa3Mo2 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. In the ninth O2- site, O2- is bonded to three K1+, one Na1+, and two Mo+5.43+ atoms to form distorted OK3NaMo2 octahedra that share corners with twelve OK2Na2Mo2 octahedra, edges with four equivalent OK3NaMo2 octahedra, and faces with four OKNa3Mo2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Mo+5.43+ atoms. In the eleventh O2- site, O2- is bonded to three K1+, one Na1+, and two Mo+5.43+ atoms to form distorted OK3NaMo2 octahedra that share corners with twelve OKNa3Mo2 octahedra, edges with four OK3NaMo2 octahedra, and faces with four OKNa3Mo2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Mo+5.43+ atoms. In the thirteenth O2- site, O2- is bonded to three K1+, one Na1+, one V2+, and one Mo+5.43+ atom to form distorted OK3NaVMo octahedra that share corners with twelve OKNa3Mo2 octahedra, edges with four equivalent OK3NaMo2 octahedra, and faces with four OK2Na2Mo2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+, one V2+, and one Mo+5.43+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sm4Ga3Fe31 by Materials Project

Sm4Fe31Ga3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Sm sites. In the first Sm site, Sm is bonded in a 1-coordinate geometry to seventeen Fe and two Ga atoms. There are a spread of Sm–Fe bond distances ranging from 3.01–3.38 Å. There are one shorter (3.12 Å) and one longer (3.13 Å) Sm–Ga bond lengths. In the second Sm site, Sm is bonded in a 10-coordinate geometry to eighteen Fe and one Ga atom. There are a spread of Sm–Fe bond distances ranging from 3.04–3.32 Å. The Sm–Ga bond length is 3.12 Å. In the third Sm site, Sm is bonded in a 10-coordinate geometry to sixteen Fe and three Ga atoms. There are a spread of Sm–Fe bond distances ranging from 3.05–3.32 Å. There are a spread of Sm–Ga bond distances ranging from 3.18–3.30 Å. In the fourth Sm site, Sm is bonded in a 10-coordinate geometry to sixteen Fe and three Ga atoms. There are a spread of Sm–Fe bond distances ranging from 3.05–3.37 Å. There are a spread of Sm–Ga bond distances ranging from 3.19–3.25 Å. There are thirty-one inequivalent Fe sites. In the first Fe site, Fe is bonded in a 2-coordinate geometry to one Sm and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.38–2.76 Å. In the second Fe site, Fe is bonded in a 2-coordinate geometry to one Sm and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.40–2.76 Å. In the third Fe site, Fe is bonded in a 2-coordinate geometry to one Sm, twelve Fe, and one Ga atom. There are a spread of Fe–Fe bond distances ranging from 2.60–2.77 Å. The Fe–Ga bond length is 2.68 Å. In the fourth Fe site, Fe is bonded in a 2-coordinate geometry to one Sm, eleven Fe, and two Ga atoms. There are a spread of Fe–Fe bond distances ranging from 2.61–2.77 Å. Both Fe–Ga bond lengths are 2.68 Å. In the fifth Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share corners with two GaSm3Fe9 cuboctahedra, corners with twenty-one FeSm2GaFe9 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with four FeSm3Ga2Fe7 cuboctahedra, faces with three GaSm3Fe9 cuboctahedra, and faces with eighteen FeSm2GaFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.42–2.65 Å. The Fe–Ga bond length is 2.65 Å. In the sixth Fe site, Fe is bonded to two Sm and ten Fe atoms to form distorted FeSm2Fe10 cuboctahedra that share corners with three GaSm3Fe9 cuboctahedra, corners with eighteen FeSm2GaFe9 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with three FeSm3GaFe8 cuboctahedra, a faceface with one GaSm3Fe9 cuboctahedra, and faces with seventeen FeSm2GaFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.66 Å. In the seventh Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Ga atom. There are a spread of Fe–Fe bond distances ranging from 2.45–2.65 Å. The Fe–Ga bond length is 2.59 Å. In the eighth Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share corners with two GaSm3Fe9 cuboctahedra, corners with twenty FeSm2GaFe9 cuboctahedra, edges with five FeSm3Fe9 cuboctahedra, faces with three GaSm3Fe9 cuboctahedra, and faces with eighteen FeSm2GaFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.68 Å. The Fe–Ga bond length is 2.59 Å. In the ninth Fe site, Fe is bonded to two Sm, eight Fe, and two Ga atoms to form distorted FeSm2Ga2Fe8 cuboctahedra that share a cornercorner with one GaSm3Fe9 cuboctahedra, corners with nineteen FeSm2GaFe9 cuboctahedra, edges with five FeSm3GaFe8 cuboctahedra, faces with four GaSm3Fe9 cuboctahedra, and faces with sixteen FeSm2GaFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.71 Å. There are one shorter (2.59 Å) and one longer (2.65 Å) Fe–Ga bond lengths. In the tenth Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share corners with two GaSm3Fe9 cuboctahedra, corners with twenty-one FeSm2GaFe9 cuboctahedra, edges with five FeSm3GaFe8 cuboctahedra, faces with two GaSm3Fe9 cuboctahedra, and faces with seventeen FeSm2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.68 Å. The Fe–Ga bond length is 2.66 Å. In the eleventh Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share corners with two GaSm3Fe9 cuboctahedra, corners with twenty FeSm2GaFe9 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with four FeSm3GaFe8 cuboctahedra, faces with three GaSm3Fe9 cuboctahedra, and faces with seventeen FeSm2GaFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.65 Å. The Fe–Ga bond length is 2.59 Å. In the twelfth Fe site, Fe is bonded to two Sm and ten Fe atoms to form distorted FeSm2Fe10 cuboctahedra that share corners with three GaSm3Fe9 cuboctahedra, corners with nineteen FeSm2GaFe9 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with three FeSm3GaFe8 cuboctahedra, a faceface with one GaSm3Fe9 cuboctahedra, and faces with eighteen FeSm2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.67 Å. In the thirteenth Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share corners with two GaSm3Fe9 cuboctahedra, corners with eighteen FeSm2GaFe9 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with four FeSm3Ga2Fe7 cuboctahedra, faces with two equivalent GaSm3Fe9 cuboctahedra, and faces with sixteen FeSm2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.66 Å. The Fe–Ga bond length is 2.65 Å. In the fourteenth Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share corners with two GaSm3Fe9 cuboctahedra, corners with twenty-one FeSm2GaFe9 cuboctahedra, edges with five FeSm3GaFe8 cuboctahedra, faces with three GaSm3Fe9 cuboctahedra, and faces with eighteen FeSm2GaFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.68 Å. The Fe–Ga bond length is 2.66 Å. In the fifteenth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Ga atom. There are a spread of Fe–Fe bond distances ranging from 2.44–2.69 Å. The Fe–Ga bond length is 2.59 Å. In the sixteenth Fe site, Fe is bonded to two Sm, eight Fe, and two Ga atoms to form distorted FeSm2Ga2Fe8 cuboctahedra that share a cornercorner with one GaSm3Fe9 cuboctahedra, corners with twenty-one FeSm2GaFe9 cuboctahedra, edges with five FeSm3GaFe8 cuboctahedra, faces with four GaSm3Fe9 cuboctahedra, and faces with seventeen FeSm2GaFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.70 Å. There are one shorter (2.59 Å) and one longer (2.63 Å) Fe–Ga bond lengths. In the seventeenth Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share corners with four GaSm3Fe9 cuboctahedra, corners with seventeen FeSm3GaFe8 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with eight FeSm3GaFe8 cuboctahedra, faces with two GaSm3Fe9 cuboctahedra, and faces with fourteen FeSm2GaFe9 cuboctahedra. There are two shorter (2.44 Å) and one longer (2.45 Å) Fe–Fe bond lengths. The Fe–Ga bond length is 2.50 Å. In the eighteenth Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share a cornercorner with one GaSm3Fe9 cuboctahedra, corners with nineteen FeSm3Fe9 cuboctahedra, edges with two GaSm3Fe9 cuboctahedra, edges with eight FeSm3Fe9 cuboctahedra, a faceface with one GaSm3Fe9 cuboctahedra, and faces with sixteen FeSm2GaFe9 cuboctahedra. There are two shorter (2.46 Å) and one longer (2.47 Å) Fe–Fe bond lengths. The Fe–Ga bond length is 2.50 Å. In the nineteenth Fe site, Fe is bonded to two Sm, eight Fe, and two Ga atoms to form distorted FeSm2Ga2Fe8 cuboctahedra that share a cornercorner with one GaSm3Fe9 cuboctahedra, corners with twenty FeSm3GaFe8 cuboctahedra, edges with two GaSm3Fe9 cuboctahedra, edges with eight FeSm3Fe9 cuboctahedra, faces with two GaSm3Fe9 cuboctahedra, and faces with sixteen FeSm2GaFe9 cuboctahedra. There are one shorter (2.45 Å) and one longer (2.47 Å) Fe–Fe bond lengths. There are one shorter (2.48 Å) and one longer (2.49 Å) Fe–Ga bond lengths. In the twentieth Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share corners with two GaSm3Fe9 cuboctahedra, corners with eighteen FeSm3Fe9 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with eight FeSm3GaFe8 cuboctahedra, a faceface with one GaSm3Fe9 cuboctahedra, and faces with fourteen FeSm2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.48 Å. The Fe–Ga bond length is 2.49 Å. In the twenty-first Fe site, Fe is bonded to two Sm and ten Fe atoms to form FeSm2Fe10 cuboctahedra that share corners with four GaSm3Fe9 cuboctahedra, corners with sixteen FeSm3GaFe8 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with eight FeSm3Fe9 cuboctahedra, a faceface with one GaSm3Fe9 cuboctahedra, and faces with fifteen FeSm2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.48 Å. In the twenty-second Fe site, Fe is bonded to two Sm, nine Fe, and one Ga atom to form distorted FeSm2GaFe9 cuboctahedra that share corners with three GaSm3Fe9 cuboctahedra, corners with nineteen FeSm3GaFe8 cuboctahedra, edges with two GaSm3Fe9 cuboctahedra, edges with seven FeSm3GaFe8 cuboctahedra, faces with two GaSm3Fe9 cuboctahedra, and faces with sixteen FeSm2GaFe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.47 Å. The Fe–Ga bond length is 2.50 Å. In the twenty-third Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with two equivalent GaSm3Fe9 cuboctahedra, corners with twenty FeSm3GaFe8 cuboctahedra, edges with two GaSm3Fe9 cuboctahedra, edges with eight FeSm3GaFe8 cuboctahedra, faces with two GaSm3Fe9 cuboctahedra, and faces with fifteen FeSm2Fe10 cuboctahedra. There are one shorter (2.50 Å) and one longer (2.51 Å) Fe–Fe bond lengths. In the twenty-fourth Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with twenty-one FeSm2Fe10 cuboctahedra, edges with three GaSm3Fe9 cuboctahedra, edges with six FeSm3Ga2Fe7 cuboctahedra, faces with three GaSm3Fe9 cuboctahedra, and faces with fourteen FeSm2GaFe9 cuboctahedra. Both Fe–Fe bond lengths are 2.49 Å. In the twenty-fifth Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with twenty-two FeSm2GaFe9 cuboctahedra, edges with three GaSm3Fe9 cuboctahedra, edges with seven FeSm3GaFe8 cuboctahedra, faces with three GaSm3Fe9 cuboctahedra, and faces with seventeen FeSm2GaFe9 cuboctahedra. Both Fe–Fe bond lengths are 2.49 Å. In the twenty-sixth Fe site, Fe is bonded to three Sm, eight Fe, and one Ga atom to form FeSm3GaFe8 cuboctahedra that share corners with four GaSm3Fe9 cuboctahedra, corners with seventeen FeSm2GaFe9 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with eight FeSm3GaFe8 cuboctahedra, faces with two GaSm3Fe9 cuboctahedra, and faces with seventeen FeSm2GaFe9 cuboctahedra. The Fe–Ga bond length is 2.54 Å. In the twenty-seventh Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with three GaSm3Fe9 cuboctahedra, corners with eighteen FeSm2Fe10 cuboctahedra, an edgeedge with one GaSm3Fe9 cuboctahedra, edges with eight FeSm3GaFe8 cuboctahedra, a faceface with one GaSm3Fe9 cuboctahedra, and faces with eighteen FeSm2GaFe9 cuboctahedra. In the twenty-eighth Fe site, Fe is bonded to three Sm, eight Fe, and one Ga atom to form Fe

36 MATERIALS SCIENCE↗

Materials Data on Lu12Co31Sn16 by Materials Project

Lu12Co31Sn16 is Bergman Structure: Mg32(Al,Zn)49 Bergman-like structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Lu sites. In the first Lu site, Lu is bonded in a 12-coordinate geometry to six Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 2.99–3.35 Å. There are a spread of Lu–Sn bond distances ranging from 3.12–3.23 Å. In the second Lu site, Lu is bonded in a 11-coordinate geometry to six Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 3.00–3.51 Å. There are a spread of Lu–Sn bond distances ranging from 3.10–3.24 Å. In the third Lu site, Lu is bonded in a 12-coordinate geometry to six Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 3.01–3.37 Å. There are a spread of Lu–Sn bond distances ranging from 3.12–3.24 Å. In the fourth Lu site, Lu is bonded in a 11-coordinate geometry to five Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 2.99–3.09 Å. There are a spread of Lu–Sn bond distances ranging from 3.10–3.25 Å. In the fifth Lu site, Lu is bonded in a 12-coordinate geometry to eight Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 2.99–3.52 Å. There are a spread of Lu–Sn bond distances ranging from 3.12–3.24 Å. In the sixth Lu site, Lu is bonded in a 11-coordinate geometry to seven Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 2.98–3.52 Å. There are a spread of Lu–Sn bond distances ranging from 3.11–3.25 Å. In the seventh Lu site, Lu is bonded in a 11-coordinate geometry to seven Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 2.99–3.49 Å. There are a spread of Lu–Sn bond distances ranging from 3.11–3.26 Å. In the eighth Lu site, Lu is bonded in a 12-coordinate geometry to eight Co and six Sn atoms. There are a spread of Lu–Co bond distances ranging from 2.98–3.51 Å. There are a spread of Lu–Sn bond distances ranging from 3.12–3.25 Å. There are twenty-three inequivalent Co sites. In the first Co site, Co is bonded to two Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with four CoLu2Co7Sn3 cuboctahedra, corners with four SnLu4Co8 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.38–2.64 Å. There are a spread of Co–Sn bond distances ranging from 2.62–2.72 Å. In the second Co site, Co is bonded to two Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with four CoLu2Co7Sn3 cuboctahedra, corners with four SnLu4Co8 cuboctahedra, faces with five SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.37–2.63 Å. There are a spread of Co–Sn bond distances ranging from 2.62–2.71 Å. In the third Co site, Co is bonded to two equivalent Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with four CoLu2Co7Sn3 cuboctahedra, corners with five SnLu4Co8 cuboctahedra, faces with five SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.37–2.54 Å. There are one shorter (2.61 Å) and two longer (2.64 Å) Co–Sn bond lengths. In the fourth Co site, Co is bonded to two equivalent Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with three SnLu4Co8 cuboctahedra, corners with four CoLu2Co7Sn3 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.37–2.53 Å. There are one shorter (2.63 Å) and two longer (2.71 Å) Co–Sn bond lengths. In the fifth Co site, Co is bonded to two Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with four CoLu2Co7Sn3 cuboctahedra, corners with five SnLu4Co8 cuboctahedra, faces with five SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.38–2.63 Å. There are a spread of Co–Sn bond distances ranging from 2.60–2.64 Å. In the sixth Co site, Co is bonded to two Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with two SnLu4Co8 cuboctahedra, corners with four CoLu2Co7Sn3 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.36–2.65 Å. There are a spread of Co–Sn bond distances ranging from 2.63–2.66 Å. In the seventh Co site, Co is bonded to two equivalent Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with four CoLu2Co7Sn3 cuboctahedra, corners with five SnLu4Co8 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.38–2.56 Å. There are one shorter (2.59 Å) and two longer (2.62 Å) Co–Sn bond lengths. In the eighth Co site, Co is bonded to two equivalent Lu, seven Co, and three Sn atoms to form distorted CoLu2Co7Sn3 cuboctahedra that share corners with two equivalent SnLu4Co8 cuboctahedra, corners with four CoLu2Co7Sn3 cuboctahedra, faces with five SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.35–2.56 Å. There are two shorter (2.64 Å) and one longer (2.67 Å) Co–Sn bond lengths. In the ninth Co site, Co is bonded in a 12-coordinate geometry to four Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.49 Å. There are a spread of Co–Sn bond distances ranging from 2.61–2.78 Å. In the tenth Co site, Co is bonded in a 12-coordinate geometry to four Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.46 Å. There are a spread of Co–Sn bond distances ranging from 2.61–2.77 Å. In the eleventh Co site, Co is bonded in a 12-coordinate geometry to four Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.50 Å. There are a spread of Co–Sn bond distances ranging from 2.62–2.76 Å. In the twelfth Co site, Co is bonded in a 12-coordinate geometry to four Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.45 Å. There are a spread of Co–Sn bond distances ranging from 2.63–2.78 Å. In the thirteenth Co site, Co is bonded in a 12-coordinate geometry to two Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.48 Å. There are a spread of Co–Sn bond distances ranging from 2.62–2.76 Å. In the fourteenth Co site, Co is bonded in a 12-coordinate geometry to two Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.48 Å. There are a spread of Co–Sn bond distances ranging from 2.61–2.74 Å. In the fifteenth Co site, Co is bonded in a 12-coordinate geometry to two equivalent Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.49 Å. There are a spread of Co–Sn bond distances ranging from 2.63–2.75 Å. In the sixteenth Co site, Co is bonded in a 12-coordinate geometry to four Lu, four Co, and four Sn atoms. The Co–Co bond length is 2.49 Å. There are a spread of Co–Sn bond distances ranging from 2.62–2.72 Å. In the seventeenth Co site, Co is bonded to nine Co and three Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with two equivalent SnLu4Co8 cuboctahedra, faces with five SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are two shorter (2.65 Å) and one longer (2.68 Å) Co–Sn bond lengths. In the eighteenth Co site, Co is bonded to nine Co and three Sn atoms to form CoCo9Sn3 cuboctahedra that share a cornercorner with one SnLu4Co8 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. All Co–Sn bond lengths are 2.65 Å. In the nineteenth Co site, Co is bonded to nine Co and three Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with three SnLu4Co8 cuboctahedra, faces with five SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are two shorter (2.66 Å) and one longer (2.78 Å) Co–Sn bond lengths. In the twentieth Co site, Co is bonded to nine Co and three Sn atoms to form CoCo9Sn3 cuboctahedra that share corners with three SnLu4Co8 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. There are one shorter (2.69 Å) and two longer (2.77 Å) Co–Sn bond lengths. In the twenty-first Co site, Co is bonded in a 10-coordinate geometry to six Lu and four Sn atoms. There are three shorter (2.48 Å) and one longer (2.64 Å) Co–Sn bond lengths. In the twenty-second Co site, Co is bonded in a 10-coordinate geometry to six Lu and four Sn atoms. There are a spread of Co–Sn bond distances ranging from 2.48–2.64 Å. In the twenty-third Co site, Co is bonded in a 10-coordinate geometry to six Lu and four Sn atoms. There are a spread of Co–Sn bond distances ranging from 2.48–2.61 Å. There are twelve inequivalent Sn sites. In the first Sn site, Sn is bonded to four Lu and eight Co atoms to form distorted SnLu4Co8 cuboctahedra that share corners with two equivalent SnLu4Co8 cuboctahedra, corners with six CoCo9Sn3 cuboctahedra, faces with six SnLu4Co8 cuboctahedra, and faces with eight CoLu2Co7Sn3 cuboctahedra. In the second Sn site, Sn is bonded to four Lu and eight Co atoms to form distorted SnLu4Co8 cuboctahedra that share corners with two equivalent SnLu4Co8 cuboctahedra, corners with six CoCo9Sn3 cuboctahedra, faces with six SnLu4Co8 cuboctahedra, and faces with eight CoLu2Co7Sn3 cuboctahedra. In the third Sn site, Sn is bonded to four Lu and eight Co atoms to form distorted SnLu4Co8 cuboctahedra that share corners with four equivalent SnLu4Co8 cuboctahedra, corners with six CoCo9Sn3 cuboctahedra, faces with eight CoCo9Sn3 cuboctahedra, and faces with eight SnLu4Co8 cuboctahedra. In the fourth Sn site, Sn is bonded to four Lu and eight Co atoms to form distorted SnLu4Co8 cuboctahedra that share corners with six CoCo9Sn3 cuboctahedra, faces with four SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. In the fifth Sn site, Sn is bonded to four Lu and eight Co atoms to form SnLu4Co8 cuboctahedra that share corners with four SnLu4Co8 cuboctahedra, corners with six CoCo9Sn3 cuboctahedra, faces with seven SnLu4Co8 cuboctahedra, and faces with eight CoLu2Co7Sn3 cuboctahedra. In the sixth Sn site, Sn is bonded in a 11-coordinate geometry to four Lu and seven Co atoms. In the seventh Sn site, Sn is bonded to four Lu and eight Co atoms to form distorted SnLu4Co8 cuboctahedra that share corners with four equivalent SnLu4Co8 cuboctahedra, corners with six CoCo9Sn3 cuboctahedra, faces with six SnLu4Co8 cuboctahedra, and faces with eight CoCo9Sn3 cuboctahedra. In the eighth Sn site, Sn is bonded in a 11-coordinate geometry to four Lu and seven Co atoms. In the ninth Sn site, Sn is bonded in a 10-coordinate geometry to six Lu and four Co atoms. In the tenth Sn site, Sn is bonded in a 10-coordinate geometry to six Lu and four Co atoms. In the eleventh Sn site, Sn is bonded in a 10-coordinate geometry to six Lu and four Co atoms. In the twelfth Sn site, Sn is bonded in a 9-coordinate geometry to six Lu and three Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li34(YSb2)13 by Materials Project

Li34(YSb2)13 crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are thirty-four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form distorted LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with three equivalent LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with three equivalent LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are three shorter (3.03 Å) and three longer (3.26 Å) Li–Sb bond lengths. In the second Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form distorted LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with three equivalent LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with three equivalent LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are three shorter (3.03 Å) and three longer (3.30 Å) Li–Sb bond lengths. In the third Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with six LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with six LiSb4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. All Li–Sb bond lengths are 3.16 Å. In the fourth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with six LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with six LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are three shorter (3.12 Å) and three longer (3.21 Å) Li–Sb bond lengths. In the fifth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form distorted LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with three equivalent LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with three equivalent LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are three shorter (3.02 Å) and three longer (3.30 Å) Li–Sb bond lengths. In the sixth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form distorted LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with three equivalent LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with three equivalent LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are three shorter (3.03 Å) and three longer (3.31 Å) Li–Sb bond lengths. In the seventh Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 18–55°. There are three shorter (2.71 Å) and one longer (2.83 Å) Li–Sb bond lengths. In the eighth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with six LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with six LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are three shorter (3.16 Å) and three longer (3.19 Å) Li–Sb bond lengths. In the ninth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 20–55°. There are three shorter (2.70 Å) and one longer (2.91 Å) Li–Sb bond lengths. In the tenth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with six LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with six LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are three shorter (3.13 Å) and three longer (3.20 Å) Li–Sb bond lengths. In the eleventh Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 18–55°. There are three shorter (2.71 Å) and one longer (2.86 Å) Li–Sb bond lengths. In the twelfth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–55°. There are three shorter (2.71 Å) and one longer (2.87 Å) Li–Sb bond lengths. In the thirteenth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–56°. There are three shorter (2.71 Å) and one longer (2.86 Å) Li–Sb bond lengths. In the fourteenth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with six LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with six LiSb4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are three shorter (3.16 Å) and three longer (3.17 Å) Li–Sb bond lengths. In the fifteenth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with six LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with six LiSb4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are three shorter (3.15 Å) and three longer (3.18 Å) Li–Sb bond lengths. In the sixteenth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–56°. There are three shorter (2.71 Å) and one longer (2.86 Å) Li–Sb bond lengths. In the seventeenth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–56°. There are three shorter (2.70 Å) and one longer (2.88 Å) Li–Sb bond lengths. In the eighteenth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 21–56°. There are three shorter (2.69 Å) and one longer (2.92 Å) Li–Sb bond lengths. In the nineteenth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–55°. There are three shorter (2.72 Å) and one longer (2.89 Å) Li–Sb bond lengths. In the twentieth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 18–56°. There are three shorter (2.72 Å) and one longer (2.82 Å) Li–Sb bond lengths. In the twenty-first Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 17–56°. There are three shorter (2.71 Å) and one longer (2.81 Å) Li–Sb bond lengths. In the twenty-second Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are three shorter (2.70 Å) and one longer (2.89 Å) Li–Sb bond lengths. In the twenty-third Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–56°. There are three shorter (2.70 Å) and one longer (2.82 Å) Li–Sb bond lengths. In the twenty-fourth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–55°. There are three shorter (2.71 Å) and one longer (2.87 Å) Li–Sb bond lengths. In the twenty-fifth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–56°. There are three shorter (2.71 Å) and one longer (2.87 Å) Li–Sb bond lengths. In the twenty-sixth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent

36 MATERIALS SCIENCE↗

Materials Data on Mg41Al67 by Materials Project

Mg41Al67 crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. there are four inequivalent Mg sites. In the first Mg site, Mg is bonded to three Mg and nine Al atoms to form distorted MgMg3Al9 cuboctahedra that share corners with four MgMg3Al9 cuboctahedra, corners with eight AlMg6Al6 cuboctahedra, edges with seven MgMg3Al9 cuboctahedra, edges with fourteen AlMg6Al6 cuboctahedra, faces with six MgMg3Al9 cuboctahedra, and faces with eleven AlMg4Al8 cuboctahedra. There are one shorter (3.04 Å) and two longer (3.08 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 2.88–2.99 Å. In the second Mg site, Mg is bonded to eight Mg and four Al atoms to form distorted MgMg8Al4 cuboctahedra that share corners with four equivalent MgMg3Al9 cuboctahedra, corners with eight AlMg6Al6 cuboctahedra, edges with twelve MgMg3Al9 cuboctahedra, edges with twelve AlMg6Al6 cuboctahedra, faces with eight AlMg6Al6 cuboctahedra, and faces with ten MgMg8Al4 cuboctahedra. There are four shorter (3.02 Å) and four longer (3.16 Å) Mg–Mg bond lengths. All Mg–Al bond lengths are 2.97 Å. In the third Mg site, Mg is bonded to six Mg and six Al atoms to form MgMg6Al6 cuboctahedra that share corners with three equivalent MgMg6Al6 cuboctahedra, corners with six equivalent AlMg5Al7 cuboctahedra, edges with nine MgMg3Al9 cuboctahedra, edges with fifteen AlMg6Al6 cuboctahedra, faces with nine MgMg3Al9 cuboctahedra, and faces with nine AlMg6Al6 cuboctahedra. All Mg–Al bond lengths are 3.02 Å. In the fourth Mg site, Mg is bonded to twelve Al atoms to form MgAl12 cuboctahedra that share corners with twelve AlMg6Al6 cuboctahedra, edges with twenty-four MgMg3Al9 cuboctahedra, faces with two equivalent MgMg8Al4 cuboctahedra, and faces with sixteen AlMg6Al6 cuboctahedra. All Mg–Al bond lengths are 2.98 Å. There are fifteen inequivalent Al sites. In the first Al site, Al is bonded to six Mg and six Al atoms to form distorted AlMg6Al6 cuboctahedra that share corners with six MgMg3Al9 cuboctahedra, corners with six AlMg6Al6 cuboctahedra, edges with eight MgMg3Al9 cuboctahedra, edges with fourteen AlMg6Al6 cuboctahedra, faces with nine MgMg3Al9 cuboctahedra, and faces with nine AlMg6Al6 cuboctahedra. There are a spread of Al–Mg bond distances ranging from 2.97–2.99 Å. There are a spread of Al–Al bond distances ranging from 2.89–3.06 Å. In the second Al site, Al is bonded to six Mg and six Al atoms to form distorted AlMg6Al6 cuboctahedra that share corners with six MgMg3Al9 cuboctahedra, corners with six AlMg4Al8 cuboctahedra, edges with eight MgMg3Al9 cuboctahedra, edges with fourteen AlMg6Al6 cuboctahedra, faces with nine MgMg3Al9 cuboctahedra, and faces with nine AlMg6Al6 cuboctahedra. There are two shorter (2.99 Å) and two longer (3.02 Å) Al–Mg bond lengths. There are a spread of Al–Al bond distances ranging from 2.89–3.06 Å. In the third Al site, Al is bonded to four equivalent Mg and eight Al atoms to form distorted AlMg4Al8 cuboctahedra that share corners with five MgMg3Al9 cuboctahedra, corners with seven AlMg6Al6 cuboctahedra, edges with six MgMg3Al9 cuboctahedra, edges with sixteen AlMg6Al6 cuboctahedra, faces with six equivalent MgMg3Al9 cuboctahedra, and faces with ten AlAl12 cuboctahedra. All Al–Mg bond lengths are 2.98 Å. There are a spread of Al–Al bond distances ranging from 2.88–3.08 Å. In the fourth Al site, Al is bonded to four equivalent Mg and eight Al atoms to form distorted AlMg4Al8 cuboctahedra that share corners with five MgMg3Al9 cuboctahedra, corners with seven AlMg6Al6 cuboctahedra, edges with six MgMg3Al9 cuboctahedra, edges with sixteen AlMg6Al6 cuboctahedra, faces with six equivalent MgMg3Al9 cuboctahedra, and faces with ten AlMg4Al8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.88–3.08 Å. In the fifth Al site, Al is bonded to five Mg and seven Al atoms to form distorted AlMg5Al7 cuboctahedra that share corners with four equivalent MgMg6Al6 cuboctahedra, corners with six AlAl12 cuboctahedra, edges with eight MgMg3Al9 cuboctahedra, edges with sixteen AlMg6Al6 cuboctahedra, faces with seven MgMg3Al9 cuboctahedra, and faces with nine AlMg6Al6 cuboctahedra. There are two shorter (2.94 Å) and two longer (2.97 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to four equivalent Mg and eight Al atoms to form distorted AlMg4Al8 cuboctahedra that share corners with five MgMg3Al9 cuboctahedra, corners with seven AlMg6Al6 cuboctahedra, edges with six MgMg3Al9 cuboctahedra, edges with sixteen AlMg6Al6 cuboctahedra, faces with six equivalent MgMg3Al9 cuboctahedra, and faces with ten AlMg4Al8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.88–3.08 Å. In the seventh Al site, Al is bonded to four equivalent Mg and eight Al atoms to form distorted AlMg4Al8 cuboctahedra that share corners with six MgMg3Al9 cuboctahedra, corners with six AlMg6Al6 cuboctahedra, edges with twelve MgMg3Al9 cuboctahedra, edges with twelve AlMg6Al6 cuboctahedra, faces with five MgMg3Al9 cuboctahedra, and faces with eleven AlMg4Al8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.89–3.05 Å. In the eighth Al site, Al is bonded to six Mg and six Al atoms to form distorted AlMg6Al6 cuboctahedra that share corners with six MgMg3Al9 cuboctahedra, corners with six AlMg6Al6 cuboctahedra, edges with eight MgMg3Al9 cuboctahedra, edges with fourteen AlMg6Al6 cuboctahedra, faces with nine MgMg3Al9 cuboctahedra, and faces with nine AlMg5Al7 cuboctahedra. Both Al–Mg bond lengths are 2.99 Å. There are one shorter (2.98 Å) and two longer (3.06 Å) Al–Al bond lengths. In the ninth Al site, Al is bonded to six Mg and six Al atoms to form distorted AlMg6Al6 cuboctahedra that share corners with six MgMg3Al9 cuboctahedra, corners with six AlMg6Al6 cuboctahedra, edges with eight MgMg3Al9 cuboctahedra, edges with fourteen AlMg6Al6 cuboctahedra, faces with nine MgMg3Al9 cuboctahedra, and faces with nine AlMg6Al6 cuboctahedra. The Al–Al bond length is 3.06 Å. In the tenth Al site, Al is bonded to twelve Al atoms to form AlAl12 cuboctahedra that share corners with twelve equivalent AlMg5Al7 cuboctahedra, edges with twenty-four equivalent MgMg3Al9 cuboctahedra, and faces with twelve AlMg4Al8 cuboctahedra. All Al–Al bond lengths are 2.88 Å. In the eleventh Al site, Al is bonded to six Mg and six Al atoms to form distorted AlMg6Al6 cuboctahedra that share corners with six MgMg3Al9 cuboctahedra, corners with six AlMg6Al6 cuboctahedra, edges with eight MgMg3Al9 cuboctahedra, edges with fourteen AlMg6Al6 cuboctahedra, faces with nine MgMg3Al9 cuboctahedra, and faces with nine AlMg6Al6 cuboctahedra. The Al–Mg bond length is 2.97 Å. There are a spread of Al–Al bond distances ranging from 2.89–3.06 Å. In the twelfth Al site, Al is bonded to four equivalent Mg and eight Al atoms to form distorted AlMg4Al8 cuboctahedra that share corners with five MgMg3Al9 cuboctahedra, corners with seven AlMg6Al6 cuboctahedra, edges with six MgMg3Al9 cuboctahedra, edges with sixteen AlMg4Al8 cuboctahedra, faces with six equivalent MgMg3Al9 cuboctahedra, and faces with ten AlAl12 cuboctahedra. All Al–Mg bond lengths are 2.98 Å. There are a spread of Al–Al bond distances ranging from 2.88–3.08 Å. In the thirteenth Al site, Al is bonded in a distorted rectangular see-saw-like geometry to four equivalent Mg and eight Al atoms. Both Al–Al bond lengths are 2.92 Å. In the fourteenth Al site, Al is bonded to four equivalent Mg and eight Al atoms to form distorted AlMg4Al8 cuboctahedra that share corners with five MgMg3Al9 cuboctahedra, corners with seven AlMg6Al6 cuboctahedra, edges with six MgMg3Al9 cuboctahedra, edges with sixteen AlMg6Al6 cuboctahedra, faces with six equivalent MgMg3Al9 cuboctahedra, and faces with ten AlMg4Al8 cuboctahedra. All Al–Mg bond lengths are 2.98 Å. There are two shorter (2.88 Å) and one longer (3.08 Å) Al–Al bond lengths. In the fifteenth Al site, Al is bonded to four equivalent Mg and eight Al atoms to form distorted AlMg4Al8 cuboctahedra that share corners with five MgMg3Al9 cuboctahedra, corners with seven AlMg6Al6 cuboctahedra, edges with six MgMg3Al9 cuboctahedra, edges with sixteen AlMg6Al6 cuboctahedra, faces with six equivalent MgMg3Al9 cuboctahedra, and faces with ten AlMg4Al8 cuboctahedra. All Al–Mg bond lengths are 2.98 Å. The Al–Al bond length is 3.08 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ba8CaY2U4O24 by Materials Project

Ba8CaU4Y2O24 crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, a faceface with one CaO6 octahedra, faces with two equivalent YO6 octahedra, and faces with four UO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.94–3.34 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, a faceface with one CaO6 octahedra, faces with two equivalent YO6 octahedra, and faces with four UO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.95–3.29 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, a faceface with one CaO6 octahedra, faces with two equivalent YO6 octahedra, and faces with four UO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.90–3.37 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, a faceface with one CaO6 octahedra, faces with two equivalent YO6 octahedra, and faces with four UO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.94–3.30 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, a faceface with one CaO6 octahedra, faces with two equivalent YO6 octahedra, and faces with four UO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.97–3.28 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, a faceface with one CaO6 octahedra, faces with two equivalent YO6 octahedra, and faces with four UO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.88–3.39 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, a faceface with one CaO6 octahedra, faces with two equivalent YO6 octahedra, and faces with four UO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.96–3.24 Å. In the eighth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, a faceface with one CaO6 octahedra, faces with two equivalent YO6 octahedra, and faces with four UO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.90–3.34 Å. There are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six UO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are four shorter (2.30 Å) and two longer (2.33 Å) Ca–O bond lengths. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six UO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.30 Å) and two longer (2.32 Å) Ca–O bond lengths. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six UO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are four shorter (2.31 Å) and two longer (2.33 Å) Ca–O bond lengths. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six UO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are four shorter (2.29 Å) and two longer (2.31 Å) Ca–O bond lengths. There are six inequivalent U6+ sites. In the first U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with four equivalent YO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of U–O bond distances ranging from 2.01–2.14 Å. In the second U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with four equivalent YO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of U–O bond distances ranging from 2.02–2.13 Å. In the third U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with two CaO6 octahedra, corners with two equivalent YO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of U–O bond distances ranging from 2.02–2.16 Å. In the fourth U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with four equivalent YO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.03 Å) and four longer (2.12 Å) U–O bond lengths. In the fifth U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with two CaO6 octahedra, corners with two equivalent YO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of U–O bond distances ranging from 2.02–2.16 Å. In the sixth U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with four equivalent YO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.02 Å) and four longer (2.13 Å) U–O bond lengths. Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with six UO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Y–O bond distances ranging from 2.24–2.26 Å. There are twenty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one U6+, and one Y3+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ca2+, and one U6+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one U6+, and one Y3+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one U6+, and one Y3+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ca2+, and one U6+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one U6+, and one Y3+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one U6+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one U6+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one U6+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ca2+, and one U6+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one U6+, and one Y3+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one U6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one U6+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ca2+, and one U6+ atom. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ca2+, and one U6+ atom. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one U6+, and one Y3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one U6+ atom. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ca2+, and one U6+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one U6+ atom. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ca2+, and one U6+ atom. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ca2+, and one U6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one U6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ca(La2Se3)4 by Materials Project

Ca(La2Se3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to eight Se2- atoms to form distorted CaSe8 hexagonal bipyramids that share corners with eight LaSe8 hexagonal bipyramids, edges with four LaSe8 hexagonal bipyramids, and faces with eight LaSe8 hexagonal bipyramids. There are a spread of Ca–Se bond distances ranging from 3.01–3.29 Å. In the second Ca2+ site, Ca2+ is bonded to eight Se2- atoms to form distorted CaSe8 hexagonal bipyramids that share corners with eight LaSe8 hexagonal bipyramids, edges with four LaSe8 hexagonal bipyramids, and faces with eight LaSe8 hexagonal bipyramids. There are a spread of Ca–Se bond distances ranging from 3.02–3.28 Å. There are sixteen inequivalent La+2.75+ sites. In the first La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven LaSe8 hexagonal bipyramids, an edgeedge with one CaSe8 hexagonal bipyramid, edges with three LaSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.05–3.27 Å. In the second La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share corners with two CaSe8 hexagonal bipyramids, corners with six LaSe8 hexagonal bipyramids, edges with four LaSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.06–3.26 Å. In the third La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven LaSe8 hexagonal bipyramids, an edgeedge with one CaSe8 hexagonal bipyramid, edges with three LaSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.06–3.25 Å. In the fourth La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share corners with two CaSe8 hexagonal bipyramids, corners with six LaSe8 hexagonal bipyramids, edges with four LaSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.06–3.26 Å. In the fifth La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share corners with eight LaSe8 hexagonal bipyramids, edges with two equivalent CaSe8 hexagonal bipyramids, edges with two LaSe8 hexagonal bipyramids, and faces with eight LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.04–3.26 Å. In the sixth La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven LaSe8 hexagonal bipyramids, edges with four LaSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.03–3.25 Å. In the seventh La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share corners with eight LaSe8 hexagonal bipyramids, edges with four LaSe8 hexagonal bipyramids, faces with two CaSe8 hexagonal bipyramids, and faces with six LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.06–3.28 Å. In the eighth La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven LaSe8 hexagonal bipyramids, edges with four LaSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.05–3.29 Å. In the ninth La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share corners with eight LaSe8 hexagonal bipyramids, edges with two equivalent CaSe8 hexagonal bipyramids, edges with two LaSe8 hexagonal bipyramids, and faces with eight LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.05–3.25 Å. In the tenth La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share corners with two CaSe8 hexagonal bipyramids, corners with six LaSe8 hexagonal bipyramids, edges with four LaSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.05–3.28 Å. In the eleventh La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven LaSe8 hexagonal bipyramids, an edgeedge with one CaSe8 hexagonal bipyramid, edges with three LaSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.05–3.29 Å. In the twelfth La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share corners with two CaSe8 hexagonal bipyramids, corners with six LaSe8 hexagonal bipyramids, edges with four LaSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.03–3.27 Å. In the thirteenth La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven LaSe8 hexagonal bipyramids, edges with four LaSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.05–3.27 Å. In the fourteenth La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share corners with eight LaSe8 hexagonal bipyramids, edges with four LaSe8 hexagonal bipyramids, faces with two CaSe8 hexagonal bipyramids, and faces with six LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.06–3.26 Å. In the fifteenth La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven LaSe8 hexagonal bipyramids, edges with four LaSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.05–3.26 Å. In the sixteenth La+2.75+ site, La+2.75+ is bonded to eight Se2- atoms to form distorted LaSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven LaSe8 hexagonal bipyramids, an edgeedge with one CaSe8 hexagonal bipyramid, edges with three LaSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven LaSe8 hexagonal bipyramids. There are a spread of La–Se bond distances ranging from 3.06–3.26 Å. There are twenty-four inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to six La+2.75+ atoms to form distorted SeLa6 octahedra that share corners with fifteen SeCaLa5 octahedra, edges with six SeLa6 octahedra, and faces with five SeLa6 octahedra. The corner-sharing octahedra tilt angles range from 16–51°. In the second Se2- site, Se2- is bonded to one Ca2+ and five La+2.75+ atoms to form distorted SeCaLa5 octahedra that share corners with fifteen SeCaLa5 octahedra, edges with six SeLa6 octahedra, and faces with five SeCaLa5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the third Se2- site, Se2- is bonded to one Ca2+ and five La+2.75+ atoms to form distorted SeCaLa5 octahedra that share corners with fifteen SeCaLa5 octahedra, edges with six SeLa6 octahedra, and faces with five SeCaLa5 octahedra. The corner-sharing octahedra tilt angles range from 16–51°. In the fourth Se2- site, Se2- is bonded to one Ca2+ and five La+2.75+ atoms to form a mixture of distorted corner, edge, and face-sharing SeCaLa5 octahedra. The corner-sharing octahedra tilt angles range from 17–51°. In the fifth Se2- site, Se2- is bonded to six La+2.75+ atoms to form distorted SeLa6 octahedra that share corners with fifteen SeCaLa5 octahedra, edges with six SeCaLa5 octahedra, and faces with five SeLa6 octahedra. The corner-sharing octahedra tilt angles range from 17–51°. In the sixth Se2- site, Se2- is bonded to one Ca2+ and five La+2.75+ atoms to form distorted SeCaLa5 octahedra that share corners with fifteen SeCaLa5 octahedra, edges with six SeCaLa5 octahedra, and faces with five SeLa6 octahedra. The corner-sharing octahedra tilt angles range from 16–51°. In the seventh Se2- site, Se2- is bonded to one Ca2+ and five La+2.75+ atoms to form a mixture of distorted corner, edge, and face-sharing SeCaLa5 octahedra. The corner-sharing octahedra tilt angles range from 17–51°. In the eighth Se2- site, Se2- is bonded to one Ca2+ and five La+2.75+ atoms to form distorted SeCaLa5 octahedra that share corners with fifteen SeLa6 octahedra, edges with six SeLa6 octahedra, and faces with five SeCaLa5 octahedra. The corner-sharing octahedra tilt angles range from 17–51°. In the ninth Se2- site, Se2- is bonded to one Ca2+ and five La+2.75+ atoms to form distorted SeCaLa5 octahedra that share corners with fifteen SeCaLa5 octahedra, edges with six SeLa6 octahedra, and faces with five SeCaLa5 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. In the tenth Se2- site, Se2- is bonded to one Ca2+ and five La+2.75+ atoms to form a mixture of distorted corner, edge, and face-sharing SeCaLa5 octahedra. The corner-sharing octahedra tilt angles range from 16–51°. In the eleventh Se2- site, Se2- is bonded to six La+2.75+ atoms to form distorted SeLa6 octahedra that share corners with fifteen SeCaLa5 octahedra, edges with six SeCaLa5 octahedra, and faces with five SeLa6 octahedra. The corner-sharing octahedra tilt angles range from 17–51°. In the twelfth Se2- site, Se2- is bonded to one Ca2+ and five La+2.75+ atoms to form a mixture of distorted corner, edge, and face-sharing SeCaLa5 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. In the thirteenth Se2- site, Se2- is bonded to one Ca2+ and five La+2.75+ atoms to form distorted SeCaLa5 octahedra that share corners with fifteen SeCaLa5 octahedra, edges with six SeCaLa5 octahedra, and faces with five SeLa6 octahedra. The corner-sharing octahedra tilt angles range from 18–51°. In the fourteenth Se2- site, Se2- is bonded to six La+2.75+ atoms to form distorted SeLa6 octahedra that share corners with fifteen SeCaLa5 octahedra, edges with six SeCaLa5 octahedra, and faces with five SeLa6 octahedra. The corner-sharing octahedra tilt angles range from 16–51°. In the fifteenth Se2- site, Se2- is bonded to one Ca2+ and five La+2.75+ atoms to form distorted SeCaLa5 octahedra that share corners with fifteen SeLa6 octahedra, edges with six SeCaLa5 octahedra, and faces with five SeCaLa5 octahedra. The corner-sharing octahedra tilt angles range from 16–51°. In the sixteenth Se2- site, Se2- is bonded to one Ca2+ and five La+2.75+ atoms to form distorted SeCaLa5 octahedra that share corners with fifteen SeLa6 octahedra, edges with six SeLa6 octa

36 MATERIALS SCIENCE↗

Materials Data on Sr5Ca3Mn4(FeO6)4 by Materials Project

Sr5Ca3Mn4(FeO6)4 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with four MnO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.74–2.79 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with four MnO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.78 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with four MnO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.74–2.79 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 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, faces with four MnO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.79 Å. There are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with four MnO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.69–2.76 Å. In the second Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, faces with four MnO6 octahedra, and faces with four FeO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.69–2.73 Å. There are three inequivalent Mn5+ sites. In the first Mn5+ site, Mn5+ 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 three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.90–1.96 Å. In the second Mn5+ site, Mn5+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent FeO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the third Mn5+ site, Mn5+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.92–1.94 Å. 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 six FeO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.90–1.93 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 three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.95–1.98 Å. In the 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 equivalent MnO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.95–1.98 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Mn5+, and one Fe3+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Mn5+, and one Fe3+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn5+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Mn5+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Mn5+, and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn5+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Fe3+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mn5+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Mn5+, and one Fe3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Mn5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K4Na4Mo5(WO8)3 by Materials Project

K4Na4Mo5(WO8)3 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, faces with three WO6 octahedra, and faces with five MoO6 octahedra. There are a spread of K–O bond distances ranging from 2.81–2.89 Å. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, faces with three WO6 octahedra, and faces with five MoO6 octahedra. There are a spread of Na–O bond distances ranging from 2.77–2.87 Å. There are three inequivalent W+3.33+ sites. In the first W+3.33+ site, W+3.33+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with four WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 1.91–2.07 Å. In the second W+3.33+ site, W+3.33+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four MoO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 1.93–1.96 Å. In the third W+3.33+ site, W+3.33+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four MoO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is five shorter (1.95 Å) and one longer (1.97 Å) W–O bond length. There are five inequivalent Mo6+ sites. In the first Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four MoO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 2.07–2.12 Å. In the second Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four MoO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 1.90–2.08 Å. In the third Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MoO6 octahedra, corners with four WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 2.02–2.10 Å. In the fourth Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four MoO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 1.90–2.08 Å. In the fifth Mo6+ site, Mo6+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six MoO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 1.93–1.97 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Na1+, and two W+3.33+ atoms. In the second O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, one W+3.33+, and one Mo6+ atom to form distorted OK2Na2MoW octahedra that share corners with eighteen OK4Mo2 octahedra, edges with two equivalent OK2Na2Mo2 octahedra, and faces with six OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–64°. In the third O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, and two Mo6+ atoms to form distorted OK2Na2Mo2 octahedra that share corners with eighteen OK4W2 octahedra, edges with two equivalent OK2Na2Mo2 octahedra, and faces with six OK4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the fourth O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, and two Mo6+ atoms to form distorted OK2Na2Mo2 octahedra that share corners with fourteen OK4W2 octahedra, edges with four OK2Na2MoW octahedra, and faces with six OK4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 1–60°. In the fifth O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, one W+3.33+, and one Mo6+ atom to form distorted OK2Na2MoW octahedra that share corners with eighteen OK4MoW octahedra, edges with four OK2Na2MoW octahedra, and faces with four OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–64°. In the sixth O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, one W+3.33+, and one Mo6+ atom to form distorted OK2Na2MoW octahedra that share corners with fourteen OK4MoW octahedra, edges with four OK2Na2MoW octahedra, and faces with six OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the seventh O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, one W+3.33+, and one Mo6+ atom to form distorted OK2Na2MoW octahedra that share corners with eighteen OK4W2 octahedra, edges with four OK2Na2MoW octahedra, and faces with four OK4MoW octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the eighth O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, and two Mo6+ atoms to form distorted OK2Na2Mo2 octahedra that share corners with fourteen OK4W2 octahedra, edges with four OK2Na2MoW octahedra, and faces with six OK4MoW octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the ninth O2- site, O2- is bonded to four equivalent K1+ and two W+3.33+ atoms to form distorted OK4W2 octahedra that share corners with twenty OK4Mo2 octahedra, edges with four OK4Mo2 octahedra, and faces with six OK2Na2MoW octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Na1+ and two W+3.33+ atoms. In the eleventh O2- site, O2- is bonded to four equivalent K1+ and two Mo6+ atoms to form distorted OK4Mo2 octahedra that share corners with sixteen OK4MoW octahedra, edges with four OK4W2 octahedra, and faces with eight OK2Na2MoW octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Na1+ and two Mo6+ atoms. In the thirteenth O2- site, O2- is bonded to four equivalent K1+, one W+3.33+, and one Mo6+ atom to form distorted OK4MoW octahedra that share corners with twenty OK4Mo2 octahedra, edges with four OK4W2 octahedra, and faces with six OK2Na2MoW octahedra. The corner-sharing octahedra tilt angles range from 1–64°. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Na1+, one W+3.33+, and one Mo6+ atom. In the fifteenth O2- site, O2- is bonded to four equivalent K1+ and two Mo6+ atoms to form distorted OK4Mo2 octahedra that share corners with sixteen OK4W2 octahedra, edges with four OK4Mo2 octahedra, and faces with eight OK2Na2Mo2 octahedra. The corner-sharing octahedra tilt angles range from 2–59°. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Na1+ and two Mo6+ atoms.

36 MATERIALS SCIENCE↗