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Materials Data on Ba3SrEr2(MoO6)2 by Materials Project

Ba3SrEr2(MoO6)2 is (Cubic) Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three 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 three equivalent BaO12 cuboctahedra, faces with three equivalent SrO12 cuboctahedra, faces with four ErO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.87–3.11 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with three equivalent BaO12 cuboctahedra, faces with three equivalent SrO12 cuboctahedra, faces with four ErO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.87–3.10 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with six equivalent SrO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with four ErO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.87–3.15 Å. Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with six equivalent SrO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with four ErO6 octahedra, and faces with four MoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.83–3.13 Å. There are two inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to six O2- atoms to form ErO6 octahedra that share corners with six MoO6 octahedra, faces with three equivalent SrO12 cuboctahedra, and faces with five BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are two shorter (2.21 Å) and four longer (2.22 Å) Er–O bond lengths. In the second Er3+ site, Er3+ is bonded to six O2- atoms to form ErO6 octahedra that share corners with six MoO6 octahedra, a faceface with one SrO12 cuboctahedra, and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Er–O bond distances ranging from 2.21–2.23 Å. There are two inequivalent Mo5+ sites. In the first Mo5+ site, Mo5+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six ErO6 octahedra, a faceface with one SrO12 cuboctahedra, and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Mo–O bond distances ranging from 1.95–2.04 Å. In the second Mo5+ site, Mo5+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six ErO6 octahedra, faces with three equivalent SrO12 cuboctahedra, and faces with five BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Mo–O bond distances ranging from 1.95–2.05 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Ba2+, one Sr2+, one Er3+, and one Mo5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to three Ba2+, one Sr2+, one Er3+, and one Mo5+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Er3+, and one Mo5+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two Ba2+, two equivalent Sr2+, one Er3+, and one Mo5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+, one Er3+, and one Mo5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, two equivalent Sr2+, one Er3+, and one Mo5+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+, one Sr2+, one Er3+, and one Mo5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+, one Sr2+, one Er3+, and one Mo5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+, one Er3+, and one Mo5+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, two equivalent Sr2+, one Er3+, and one Mo5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+, one Sr2+, one Er3+, and one Mo5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+, one Sr2+, one Er3+, and one Mo5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CeEr by Materials Project

ErCe is beta-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are five inequivalent Er sites. In the first Er site, Er is bonded to nine Er and three equivalent Ce atoms to form ErCe3Er9 cuboctahedra that share corners with six equivalent CeCe9Er3 cuboctahedra, corners with nine ErCe3Er9 cuboctahedra, edges with six equivalent CeCe6Er6 cuboctahedra, edges with fifteen ErCe6Er6 cuboctahedra, faces with seven CeCe9Er3 cuboctahedra, and faces with twelve ErCe3Er9 cuboctahedra. There are three shorter (3.48 Å) and six longer (3.55 Å) Er–Er bond lengths. All Er–Ce bond lengths are 3.46 Å. In the second Er site, Er is bonded to six equivalent Er and six Ce atoms to form ErCe6Er6 cuboctahedra that share corners with six equivalent CeCe9Er3 cuboctahedra, corners with nine ErCe3Er9 cuboctahedra, edges with nine ErCe3Er9 cuboctahedra, edges with twelve CeCe9Er3 cuboctahedra, faces with six equivalent ErCe6Er6 cuboctahedra, and faces with thirteen CeCe9Er3 cuboctahedra. All Er–Er bond lengths are 3.55 Å. There are three shorter (3.44 Å) and three longer (3.50 Å) Er–Ce bond lengths. In the third Er site, Er is bonded to nine Er and three equivalent Ce atoms to form ErCe3Er9 cuboctahedra that share corners with six equivalent ErCe3Er9 cuboctahedra, corners with nine CeCe6Er6 cuboctahedra, edges with nine CeCe9Er3 cuboctahedra, edges with twelve ErCe3Er9 cuboctahedra, faces with seven CeCe9Er3 cuboctahedra, and faces with twelve ErCe3Er9 cuboctahedra. All Er–Er bond lengths are 3.55 Å. All Er–Ce bond lengths are 3.46 Å. In the fourth Er site, Er is bonded to six equivalent Er and six Ce atoms to form ErCe6Er6 cuboctahedra that share corners with six equivalent CeCe9Er3 cuboctahedra, corners with nine ErCe3Er9 cuboctahedra, edges with nine ErCe3Er9 cuboctahedra, edges with twelve CeCe9Er3 cuboctahedra, faces with six equivalent ErCe6Er6 cuboctahedra, and faces with thirteen CeCe9Er3 cuboctahedra. All Er–Er bond lengths are 3.55 Å. There are three shorter (3.44 Å) and three longer (3.50 Å) Er–Ce bond lengths. In the fifth Er site, Er is bonded to six equivalent Er and six Ce atoms to form ErCe6Er6 cuboctahedra that share corners with six equivalent CeCe9Er3 cuboctahedra, corners with nine ErCe3Er9 cuboctahedra, edges with nine ErCe6Er6 cuboctahedra, edges with twelve CeCe9Er3 cuboctahedra, faces with six equivalent ErCe6Er6 cuboctahedra, and faces with thirteen CeCe9Er3 cuboctahedra. All Er–Er bond lengths are 3.55 Å. There are three shorter (3.44 Å) and three longer (3.50 Å) Er–Ce bond lengths. There are five inequivalent Ce sites. In the first Ce site, Ce is bonded to three equivalent Er and nine Ce atoms to form CeCe9Er3 cuboctahedra that share corners with six equivalent CeCe9Er3 cuboctahedra, corners with twelve ErCe3Er9 cuboctahedra, edges with six equivalent ErCe3Er9 cuboctahedra, edges with twelve CeCe9Er3 cuboctahedra, faces with eight ErCe3Er9 cuboctahedra, and faces with twelve CeCe9Er3 cuboctahedra. There are three shorter (3.42 Å) and six longer (3.55 Å) Ce–Ce bond lengths. In the second Ce site, Ce is bonded to six Er and six equivalent Ce atoms to form CeCe6Er6 cuboctahedra that share corners with six equivalent ErCe3Er9 cuboctahedra, corners with twelve CeCe6Er6 cuboctahedra, edges with six equivalent CeCe6Er6 cuboctahedra, edges with twelve ErCe3Er9 cuboctahedra, faces with seven CeCe6Er6 cuboctahedra, and faces with thirteen ErCe3Er9 cuboctahedra. All Ce–Ce bond lengths are 3.55 Å. In the third Ce site, Ce is bonded to three equivalent Er and nine Ce atoms to form CeCe9Er3 cuboctahedra that share corners with three equivalent ErCe3Er9 cuboctahedra, corners with twelve CeCe6Er6 cuboctahedra, edges with nine ErCe6Er6 cuboctahedra, edges with twelve CeCe9Er3 cuboctahedra, faces with six equivalent ErCe6Er6 cuboctahedra, and faces with thirteen CeCe9Er3 cuboctahedra. All Ce–Ce bond lengths are 3.55 Å. In the fourth Ce site, Ce is bonded to six Er and six equivalent Ce atoms to form CeCe6Er6 cuboctahedra that share corners with six equivalent ErCe3Er9 cuboctahedra, corners with twelve CeCe9Er3 cuboctahedra, edges with six equivalent CeCe6Er6 cuboctahedra, edges with twelve ErCe3Er9 cuboctahedra, faces with seven CeCe9Er3 cuboctahedra, and faces with thirteen ErCe3Er9 cuboctahedra. All Ce–Er bond lengths are 3.46 Å. All Ce–Ce bond lengths are 3.55 Å. In the fifth Ce site, Ce is bonded to six Er and six equivalent Ce atoms to form CeCe6Er6 cuboctahedra that share corners with six equivalent ErCe3Er9 cuboctahedra, corners with twelve CeCe9Er3 cuboctahedra, edges with six equivalent CeCe6Er6 cuboctahedra, edges with twelve ErCe6Er6 cuboctahedra, faces with seven CeCe9Er3 cuboctahedra, and faces with thirteen ErCe3Er9 cuboctahedra. All Ce–Er bond lengths are 3.46 Å. All Ce–Ce bond lengths are 3.55 Å.

36 MATERIALS SCIENCE↗

Materials Data on Sr6Nb7O21 by Materials Project

Sr6Nb7O21 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with ten SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.78–2.94 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with ten SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.80–2.92 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with ten SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.79–2.95 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with ten SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.79–2.92 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with ten SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.74–2.93 Å. In the sixth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with ten SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.78–2.91 Å. There are seven inequivalent Nb+4.29+ sites. In the first Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Nb–O bond distances ranging from 2.02–2.06 Å. In the second Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Nb–O bond distances ranging from 2.01–2.06 Å. In the third Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Nb–O bond distances ranging from 2.02–2.06 Å. In the fourth Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Nb–O bond distances ranging from 2.01–2.06 Å. In the fifth Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Nb–O bond distances ranging from 2.02–2.06 Å. In the sixth Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Nb–O bond distances ranging from 2.01–2.06 Å. In the seventh Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are one shorter (2.03 Å) and five longer (2.04 Å) Nb–O bond lengths. There are twenty-one inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Nb+4.29+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Nb+4.29+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Nb+4.29+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Nb+4.29+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Nb+4.29+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Nb+4.29+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Nb+4.29+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Nb+4.29+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Nb+4.29+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Nb+4.29+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Nb+4.29+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Nb+4.29+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Nb+4.29+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Nb+4.29+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Nb+4.29+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Nb+4.29+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Nb+4.29+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Nb+4.29+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Nb+4.29+ atoms. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Nb+4.29+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Nb+4.29+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg2Zr14O5 by Materials Project

Mg2Zr14O5 crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded to six equivalent Mg and six Zr atoms to form MgMg6Zr6 cuboctahedra that share corners with six equivalent MgMg6Zr6 cuboctahedra, corners with three equivalent OZr4 trigonal pyramids, edges with six equivalent MgMg6Zr6 cuboctahedra, edges with three equivalent OZr4 trigonal pyramids, and faces with six equivalent MgMg6Zr6 cuboctahedra. All Mg–Mg bond lengths are 3.24 Å. There are three shorter (3.14 Å) and three longer (3.23 Å) Mg–Zr bond lengths. In the second Mg site, Mg is bonded to six equivalent Mg and six Zr atoms to form MgMg6Zr6 cuboctahedra that share corners with three equivalent ZrZr12 cuboctahedra, corners with six equivalent MgMg6Zr6 cuboctahedra, edges with six equivalent MgMg6Zr6 cuboctahedra, edges with nine ZrZr12 cuboctahedra, faces with six equivalent MgMg6Zr6 cuboctahedra, and faces with six equivalent ZrMg3Zr9 cuboctahedra. All Mg–Mg bond lengths are 3.24 Å. There are three shorter (3.26 Å) and three longer (3.27 Å) Mg–Zr bond lengths. There are twenty-two inequivalent Zr sites. In the first Zr site, Zr is bonded in a 3-coordinate geometry to three equivalent Mg and three equivalent O atoms. All Zr–O bond lengths are 2.20 Å. In the second Zr site, Zr is bonded in a distorted T-shaped geometry to three equivalent Zr and three equivalent O atoms. All Zr–Zr bond lengths are 3.15 Å. All Zr–O bond lengths are 2.24 Å. In the third Zr site, Zr is bonded in a single-bond geometry to three equivalent Mg and one O atom. The Zr–O bond length is 2.05 Å. In the fourth Zr site, Zr is bonded to twelve Zr atoms to form a mixture of corner, edge, and face-sharing ZrZr12 cuboctahedra. There are a spread of Zr–Zr bond distances ranging from 3.20–3.24 Å. In the fifth Zr site, Zr is bonded to twelve Zr atoms to form a mixture of corner, edge, and face-sharing ZrZr12 cuboctahedra. All Zr–Zr bond lengths are 3.24 Å. In the sixth Zr site, Zr is bonded to twelve Zr atoms to form a mixture of corner, edge, and face-sharing ZrZr12 cuboctahedra. There are three shorter (3.23 Å) and six longer (3.24 Å) Zr–Zr bond lengths. In the seventh Zr site, Zr is bonded to twelve Zr atoms to form a mixture of corner, edge, and face-sharing ZrZr12 cuboctahedra. All Zr–Zr bond lengths are 3.24 Å. In the eighth Zr site, Zr is bonded to twelve Zr atoms to form ZrZr12 cuboctahedra that share corners with three equivalent MgMg6Zr6 cuboctahedra, corners with nine ZrZr12 cuboctahedra, edges with three equivalent MgMg6Zr6 cuboctahedra, edges with twenty-one ZrZr12 cuboctahedra, and faces with eighteen ZrZr12 cuboctahedra. There are a spread of Zr–Zr bond distances ranging from 3.14–3.24 Å. In the ninth Zr site, Zr is bonded to twelve Zr atoms to form a mixture of corner, edge, and face-sharing ZrZr12 cuboctahedra. All Zr–Zr bond lengths are 3.24 Å. In the tenth Zr site, Zr is bonded to three equivalent Mg and nine Zr atoms to form ZrMg3Zr9 cuboctahedra that share corners with nine ZrZr12 cuboctahedra, edges with six equivalent MgMg6Zr6 cuboctahedra, edges with fifteen ZrZr12 cuboctahedra, faces with six equivalent MgMg6Zr6 cuboctahedra, and faces with twelve ZrZr12 cuboctahedra. All Zr–Zr bond lengths are 3.24 Å. In the eleventh Zr site, Zr is bonded in a rectangular see-saw-like geometry to four O atoms. There are one shorter (2.05 Å) and three longer (2.30 Å) Zr–O bond lengths. In the twelfth Zr site, Zr is bonded in a single-bond geometry to three equivalent Mg and one O atom. The Zr–O bond length is 2.04 Å. In the thirteenth Zr site, Zr is bonded in a rectangular see-saw-like geometry to four O atoms. There are one shorter (2.05 Å) and three longer (2.29 Å) Zr–O bond lengths. In the fourteenth Zr site, Zr is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are one shorter (2.05 Å) and three longer (2.29 Å) Zr–O bond lengths. In the fifteenth Zr site, Zr is bonded to twelve Zr atoms to form a mixture of corner, edge, and face-sharing ZrZr12 cuboctahedra. There are a spread of Zr–Zr bond distances ranging from 3.20–3.24 Å. In the sixteenth Zr site, Zr is bonded to twelve Zr atoms to form a mixture of corner, edge, and face-sharing ZrZr12 cuboctahedra. All Zr–Zr bond lengths are 3.24 Å. In the seventeenth Zr site, Zr is bonded to twelve Zr atoms to form ZrZr12 cuboctahedra that share corners with three equivalent MgMg6Zr6 cuboctahedra, corners with nine ZrZr12 cuboctahedra, edges with three equivalent MgMg6Zr6 cuboctahedra, edges with twenty-one ZrMg3Zr9 cuboctahedra, and faces with eighteen ZrZr12 cuboctahedra. There are a spread of Zr–Zr bond distances ranging from 3.14–3.24 Å. In the eighteenth Zr site, Zr is bonded to twelve Zr atoms to form ZrZr12 cuboctahedra that share corners with twelve ZrZr12 cuboctahedra, edges with twenty-four ZrMg3Zr9 cuboctahedra, and faces with eighteen ZrZr12 cuboctahedra. All Zr–Zr bond lengths are 3.24 Å. In the nineteenth Zr site, Zr is bonded to twelve Zr atoms to form a mixture of corner, edge, and face-sharing ZrZr12 cuboctahedra. There are a spread of Zr–Zr bond distances ranging from 3.20–3.24 Å. In the twentieth Zr site, Zr is bonded to twelve Zr atoms to form a mixture of corner, edge, and face-sharing ZrZr12 cuboctahedra. There are three shorter (3.23 Å) and six longer (3.24 Å) Zr–Zr bond lengths. In the twenty-first Zr site, Zr is bonded to twelve Zr atoms to form a mixture of corner, edge, and face-sharing ZrZr12 cuboctahedra. All Zr–Zr bond lengths are 3.24 Å. In the twenty-second Zr site, Zr is bonded to twelve Zr atoms to form ZrZr12 cuboctahedra that share corners with three equivalent MgMg6Zr6 cuboctahedra, corners with nine ZrZr12 cuboctahedra, edges with three equivalent MgMg6Zr6 cuboctahedra, edges with twenty-one ZrZr12 cuboctahedra, and faces with eighteen ZrZr12 cuboctahedra. There are a spread of Zr–Zr bond distances ranging from 3.14–3.24 Å. There are five inequivalent O sites. In the first O site, O is bonded in a distorted rectangular see-saw-like geometry to four Zr atoms. In the second O site, O is bonded in a rectangular see-saw-like geometry to four Zr atoms. In the third O site, O is bonded in a rectangular see-saw-like geometry to four Zr atoms. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to four Zr atoms. In the fifth O site, O is bonded to four Zr atoms to form distorted OZr4 trigonal pyramids that share corners with three equivalent MgMg6Zr6 cuboctahedra, corners with six equivalent OZr4 trigonal pyramids, and edges with three equivalent MgMg6Zr6 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sr11Ru10O33 by Materials Project

Sr11Ru10O33 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with seven RuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.65–2.98 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with seven RuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–3.00 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with seven RuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.65–3.00 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with seven RuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–3.00 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight RuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.78–2.84 Å. In the sixth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight RuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.77–2.84 Å. There are five inequivalent Ru+4.40+ sites. In the first Ru+4.40+ site, Ru+4.40+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with five RuO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ru–O bond distances ranging from 1.90–2.07 Å. In the second Ru+4.40+ site, Ru+4.40+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with five RuO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ru–O bond distances ranging from 1.89–2.07 Å. In the third Ru+4.40+ site, Ru+4.40+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six RuO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Ru–O bond distances ranging from 1.94–2.03 Å. In the fourth Ru+4.40+ site, Ru+4.40+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with five RuO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Ru–O bond distances ranging from 1.88–2.03 Å. In the fifth Ru+4.40+ site, Ru+4.40+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six RuO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ru–O bond distances ranging from 1.97–2.01 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sr2+ and one Ru+4.40+ atom to form distorted OSr4Ru square pyramids that share corners with two equivalent OSr4Ru2 octahedra, an edgeedge with one OSr4Ru2 octahedra, edges with four OSr4Ru square pyramids, and a faceface with one OSr4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Ru+4.40+ atoms. In the third O2- site, O2- is bonded to four Sr2+ and one Ru+4.40+ atom to form distorted OSr4Ru square pyramids that share corners with three OSr4Ru2 octahedra, edges with two OSr4Ru2 octahedra, and edges with four OSr4Ru square pyramids. The corner-sharing octahedra tilt angles range from 0–53°. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ru+4.40+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ru+4.40+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ru+4.40+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ru+4.40+ atoms. In the eighth O2- site, O2- is bonded to four Sr2+ and two Ru+4.40+ atoms to form distorted OSr4Ru2 octahedra that share corners with two OSr4Ru2 octahedra, corners with two equivalent OSr4Ru square pyramids, an edgeedge with one OSr4Ru2 octahedra, an edgeedge with one OSr4Ru square pyramid, a faceface with one OSr4Ru2 octahedra, and a faceface with one OSr4Ru square pyramid. The corner-sharing octahedra tilt angles range from 60–62°. In the ninth O2- site, O2- is bonded to four Sr2+ and one Ru+4.40+ atom to form distorted OSr4Ru square pyramids that share corners with two equivalent OSr4Ru2 octahedra, edges with four OSr4Ru square pyramids, and faces with two OSr4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. In the tenth O2- site, O2- is bonded to four Sr2+ and two Ru+4.40+ atoms to form distorted OSr4Ru2 octahedra that share corners with three OSr4Ru2 octahedra, corners with three OSr4Ru square pyramids, an edgeedge with one OSr4Ru square pyramid, a faceface with one OSr4Ru2 octahedra, and a faceface with one OSr4Ru square pyramid. The corner-sharing octahedra tilt angles range from 0–62°. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ru+4.40+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ru+4.40+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ru+4.40+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ru+4.40+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ru+4.40+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ru+4.40+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ru+4.40+ atoms. In the eighteenth O2- site, O2- is bonded to four Sr2+ and two equivalent Ru+4.40+ atoms to form distorted OSr4Ru2 octahedra that share corners with four OSr4Ru2 octahedra, corners with four equivalent OSr4Ru square pyramids, edges with two equivalent OSr4Ru square pyramids, and faces with two equivalent OSr4Ru square pyramids. The corner-sharing octahedra tilt angles range from 8–60°.

36 MATERIALS SCIENCE↗

Materials Data on Ba14Ir8(PdO11)3 by Materials Project

Ba14Pd3Ir8O33 crystallizes in the trigonal P321 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.67–2.92 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.66–2.90 Å. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.62–3.22 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.74–3.08 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.63–3.08 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.67–3.40 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.61–3.05 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.65–3.37 Å. There are twelve inequivalent Ir4+ sites. In the first Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are three shorter (1.99 Å) and three longer (2.11 Å) Ir–O bond lengths. In the second Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are three shorter (2.05 Å) and three longer (2.07 Å) Ir–O bond lengths. In the third Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are three shorter (1.99 Å) and three longer (2.11 Å) Ir–O bond lengths. In the fourth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. All Ir–O bond lengths are 2.05 Å. In the fifth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are three shorter (2.00 Å) and three longer (2.11 Å) Ir–O bond lengths. In the sixth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are three shorter (1.96 Å) and three longer (2.10 Å) Ir–O bond lengths. In the seventh Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are three shorter (1.99 Å) and three longer (2.10 Å) Ir–O bond lengths. In the eighth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are three shorter (2.04 Å) and three longer (2.08 Å) Ir–O bond lengths. In the ninth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are three shorter (1.99 Å) and three longer (2.11 Å) Ir–O bond lengths. In the tenth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are three shorter (1.96 Å) and three longer (2.11 Å) Ir–O bond lengths. In the eleventh Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are three shorter (1.97 Å) and three longer (2.11 Å) Ir–O bond lengths. In the twelfth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are three shorter (2.00 Å) and three longer (2.09 Å) Ir–O bond lengths. There are five inequivalent Pd2+ sites. In the first Pd2+ site, Pd2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.38 Å) and three longer (2.39 Å) Pd–O bond lengths. In the second Pd2+ site, Pd2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.35 Å) and three longer (2.37 Å) Pd–O bond lengths. In the third Pd2+ site, Pd2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.36 Å) and three longer (2.38 Å) Pd–O bond lengths. In the fourth Pd2+ site, Pd2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.32 Å) and three longer (2.35 Å) Pd–O bond lengths. In the fifth Pd2+ site, Pd2+ is bonded in a 6-coordinate geometry to six equivalent O2- atoms. All Pd–O bond lengths are 2.37 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the second O2- site, O2- is bonded to four Ba2+ and two equivalent Ir4+ atoms to form distorted OBa4Ir2 octahedra that share corners with eight OBa4IrPd octahedra, edges with two equivalent OBa4Ir2 octahedra, and faces with two equivalent OBa4Ir2 octahedra. The corner-sharing octahedra tilt angles range from 31–58°. In the third O2- site, O2- is bonded to four Ba2+ and two Ir4+ atoms to form a mixture of distorted corner and face-sharing OBa4Ir2 octahedra. The corner-sharing octahedral tilt angles are 33°. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the sixth O2- site, O2- is bonded to four Ba2+ and two Ir4+ atoms to form distorted OBa4Ir2 octahedra that share corners with six OBa4Ir2 octahedra, edges with two OBa4IrPd octahedra, and faces with four OBa4Ir2 octahedra. The corner-sharing octahedra tilt angles range from 2–63°. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the eighth O2- site, O2- is bonded to four Ba2+, one Ir4+, and one Pd2+ atom to form distorted OBa4IrPd octahedra that share corners with eight OBa4Ir2 octahedra, an edgeedge with one OBa4Ir2 octahedra, and faces with five OBa4IrPd octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir4+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir4+ atoms. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the twelfth O2- site, O2- is bonded to four Ba2+ and two Ir4+ atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Ir2 octahedra. The corner-sharing octahedra tilt angles range from 32–60°. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir4+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the fifteenth O2- site, O2- is bonded to four Ba2+, one Ir4+, and one Pd2+ atom to form distorted OBa4IrPd octahedra that share corners with eight OBa4Ir2 octahedra, an edgeedge with one OBa4Ir2 octahedra, and faces with five OBa4IrPd octahedra. The corner-sharing octahedra tilt angles range from 2–63°. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the seventeenth O2- site, O2- is bonded to four Ba2+ and two Ir4+ atoms to form distorted OBa4Ir2 octahedra that share corners with seven OBa4Ir2 octahedra, edges with two OBa4Ir2 octahedra, and faces with four OBa4IrPd octahedra. The corner-sharing octahedra tilt angles range from 2–62°.

36 MATERIALS SCIENCE↗

Materials Data on Ba25(Bi5O18)3 by Materials Project

Ba25(Bi5O18)3 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-five inequivalent Ba sites. In the first Ba site, Ba is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Ba–O bond distances ranging from 2.95–3.24 Å. In the second Ba site, Ba is bonded in a 12-coordinate geometry to eight O atoms. There are a spread of Ba–O bond distances ranging from 2.71–3.45 Å. In the third Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with three equivalent BaO12 cuboctahedra, and faces with eight BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.91–3.28 Å. In the fourth Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.03–3.24 Å. In the fifth Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with three equivalent BaO12 cuboctahedra, and faces with eight BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.04–3.29 Å. In the sixth Ba site, Ba is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Ba–O bond distances ranging from 3.02–3.24 Å. In the seventh Ba site, Ba is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ba–O bond distances ranging from 2.65–3.27 Å. In the eighth Ba site, Ba is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.42 Å. In the ninth Ba site, Ba is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.44 Å. In the tenth Ba site, Ba is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ba–O bond distances ranging from 2.62–3.09 Å. In the eleventh Ba site, Ba is bonded in a distorted pentagonal planar geometry to five O atoms. There are three shorter (2.52 Å) and two longer (2.67 Å) Ba–O bond lengths. In the twelfth Ba site, Ba is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ba–O bond distances ranging from 2.71–3.35 Å. In the thirteenth Ba site, Ba is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ba–O bond distances ranging from 2.70–3.27 Å. In the fourteenth Ba site, Ba is bonded in a 5-coordinate geometry to five O atoms. There are four shorter (2.56 Å) and one longer (2.60 Å) Ba–O bond lengths. In the fifteenth Ba site, Ba is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.15 Å. In the sixteenth Ba site, Ba is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.27 Å. In the seventeenth Ba site, Ba is bonded in a 4-coordinate geometry to four O atoms. There are two shorter (2.61 Å) and two longer (2.87 Å) Ba–O bond lengths. In the eighteenth Ba site, Ba is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Ba–O bond distances ranging from 2.63–2.74 Å. In the nineteenth Ba site, Ba is bonded to five O atoms to form BaO5 square pyramids that share corners with three equivalent BiO6 octahedra and corners with two equivalent BiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Ba–O bond distances ranging from 2.44–2.59 Å. In the twentieth Ba site, Ba is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ba–O bond distances ranging from 2.62–3.32 Å. In the twenty-first Ba site, Ba is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Ba–O bond distances ranging from 2.61–2.85 Å. In the twenty-second Ba site, Ba is bonded to five O atoms to form distorted BaO5 square pyramids that share corners with five BiO5 trigonal bipyramids. There are a spread of Ba–O bond distances ranging from 2.52–2.60 Å. In the twenty-third Ba site, Ba is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ba–O bond distances ranging from 2.73–2.80 Å. In the twenty-fourth Ba site, Ba is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Ba–O bond distances ranging from 2.72–3.26 Å. In the twenty-fifth Ba site, Ba is bonded to five O atoms to form distorted BaO5 square pyramids that share corners with five BiO5 trigonal bipyramids. There are a spread of Ba–O bond distances ranging from 2.48–2.67 Å. There are fifteen inequivalent Bi sites. In the first Bi site, Bi is bonded to six O atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Bi–O bond distances ranging from 2.18–2.24 Å. In the second Bi site, Bi is bonded to six O atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Bi–O bond distances ranging from 2.21–2.28 Å. In the third Bi site, Bi is bonded to six O atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–20°. There are a spread of Bi–O bond distances ranging from 2.25–2.34 Å. In the fourth Bi site, Bi is bonded to six O atoms to form BiO6 octahedra that share corners with three equivalent BiO6 octahedra and corners with three equivalent BiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 12–15°. There are a spread of Bi–O bond distances ranging from 2.22–2.30 Å. In the fifth Bi site, Bi is bonded to six O atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Bi–O bond distances ranging from 2.17–2.21 Å. In the sixth Bi site, Bi is bonded to six O atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Bi–O bond distances ranging from 2.22–2.29 Å. In the seventh Bi site, Bi is bonded to six O atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Bi–O bond distances ranging from 2.21–2.35 Å. In the eighth Bi site, Bi is bonded to five O atoms to form distorted corner-sharing BiO5 trigonal bipyramids. There are a spread of Bi–O bond distances ranging from 2.13–2.30 Å. In the ninth Bi site, Bi is bonded to five O atoms to form distorted corner-sharing BiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 32–33°. There are a spread of Bi–O bond distances ranging from 2.13–2.35 Å. In the tenth Bi site, Bi is bonded to five O atoms to form corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.09–2.43 Å. In the eleventh Bi site, Bi is bonded to five O atoms to form corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.17–2.37 Å. In the twelfth Bi site, Bi is bonded to five O atoms to form distorted BiO5 trigonal bipyramids that share corners with five BaO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.10–2.31 Å. In the thirteenth Bi site, Bi is bonded to five O atoms to form distorted BiO5 trigonal bipyramids that share corners with five BaO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.04–2.15 Å. In the fourteenth Bi site, Bi is bonded to five O atoms to form distorted BiO5 trigonal bipyramids that share corners with two equivalent BaO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.01–2.16 Å. In the fifteenth Bi site, Bi is bonded to six O atoms to form BiO6 octahedra that share corners with three equivalent BiO6 octahedra and corners with three equivalent BaO5 square pyramids. The corner-sharing octahedra tilt angles range from 16–20°. There are a spread of Bi–O bond distances ranging from 2.14–2.20 Å. There are thirty-four inequivalent O sites. In the first O site, O is bonded in a 1-coordinate geometry to four Ba and one Bi atom. In the second O site, O is bonded in a 3-coordinate geometry to two Ba and one Bi atom. In the third O site, O is bonded in a 5-coordinate geometry to four Ba and one Bi atom. In the fourth O site, O is bonded in a distorted see-saw-like geometry to three Ba and one Bi atom. In the fifth O site, O is bonded in a 3-coordinate geometry to one Ba and two Bi atoms. In the sixth O site, O is bonded in a 6-coordinate geometry to four Ba and two Bi atoms. In the seventh O site, O is bonded in a 6-coordinate geometry to four Ba and two Bi atoms. In the eighth O site, O is bonded to four Ba and two Bi atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. In the ninth O site, O is bonded to four Ba and two Bi atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the tenth O site, O is bonded to four Ba and two Bi atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the eleventh O site, O is bonded to four Ba and two Bi atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the twelfth O site, O is bonded to four Ba and two Bi atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–63°. In the thirteenth O site, O is bonded to four Ba and two Bi atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 3–62°. In the fourteenth O site, O is bonded to four Ba and two Bi atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the fifteenth O site, O is bonded in a 5-coordinate geometry to three Ba and two Bi atoms. In the sixteenth O site, O is bonded in a 6-coordinate geometry to four Ba and two Bi atoms. In the seventeenth O site, O is bonded to four Ba and two Bi atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the eighteenth O site, O is bonded in a distorted see-saw-like geometry to two Ba and two Bi atoms. In the nineteenth O site, O is bonded in a 3-coordinate geometry to three Ba and two Bi atoms. In the twentieth O site, O is bonded in a distorted see-saw-like geometry to three Ba and one Bi atom. In the twenty-first O site, O is bonded to four Ba and two Bi atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the twenty-second O site, O is bonded in a 6-coordinate geometry to four Ba and two Bi atoms. In the twenty-third O site, O is bonded in a 6-coordinate geometry to five Ba and one Bi atom. In the twenty-fourth O site, O is bonded in a distorted see-saw-like geometry to three Ba and one Bi atom. In the twenty-fifth O site, O is bonded in a see-saw-like geometry to two Ba and two Bi atoms. In the twenty-sixth O site, O is bonded in a 2-coordinate geometry to four Ba and one Bi atom. In the twenty-seventh O site, O is bonded in a 6-coordinate g

36 MATERIALS SCIENCE↗

Materials Data on NaSr8LaTi10O30 by Materials Project

NaSr8LaTi10O30 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are four shorter (2.78 Å) and eight longer (2.80 Å) Na–O bond lengths. 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 LaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.78–2.82 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one LaO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.76–2.78 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight TiO6 octahedra. All Sr–O bond lengths are 2.78 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight TiO6 octahedra. All Sr–O bond lengths are 2.78 Å. La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are eight shorter (2.73 Å) and four longer (2.78 Å) La–O bond lengths. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is four shorter (1.96 Å) and two longer (1.97 Å) Ti–O bond length. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is four shorter (1.96 Å) and two longer (1.97 Å) Ti–O bond length. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, faces with two equivalent LaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–O bond distances ranging from 1.95–1.98 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent La3+, and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Na1+, two Sr2+, one La3+, and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba14Ir8(PdO11)3 by Materials Project

Ba14Pd3Ir8O33 is Orthorhombic Perovskite-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are twenty-two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.65–2.99 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–2.95 Å. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.64–3.13 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.64–3.15 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.62–3.10 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.67–3.12 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.64–3.35 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.12 Å. In the ninth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–3.11 Å. In the tenth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.65–3.15 Å. In the eleventh Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.65–3.38 Å. In the twelfth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.63–3.11 Å. In the thirteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.60–3.13 Å. In the fourteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.66–3.06 Å. In the fifteenth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.67–2.95 Å. In the sixteenth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.59–3.01 Å. In the seventeenth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.70–2.94 Å. In the eighteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.67–3.12 Å. In the nineteenth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.66–3.08 Å. In the twentieth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.62–3.27 Å. In the twenty-first Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.73–3.34 Å. In the twenty-second Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–3.28 Å. There are twelve inequivalent Ir4+ sites. In the first Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are a spread of Ir–O bond distances ranging from 2.03–2.07 Å. In the second Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are a spread of Ir–O bond distances ranging from 2.00–2.17 Å. In the third Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are a spread of Ir–O bond distances ranging from 1.99–2.09 Å. In the fourth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are a spread of Ir–O bond distances ranging from 1.97–2.12 Å. In the fifth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are a spread of Ir–O bond distances ranging from 1.99–2.13 Å. In the sixth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are a spread of Ir–O bond distances ranging from 1.97–2.12 Å. In the seventh Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are a spread of Ir–O bond distances ranging from 2.04–2.06 Å. In the eighth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are a spread of Ir–O bond distances ranging from 1.99–2.16 Å. In the ninth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are a spread of Ir–O bond distances ranging from 1.96–2.12 Å. In the tenth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are a spread of Ir–O bond distances ranging from 2.00–2.14 Å. In the eleventh Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are a spread of Ir–O bond distances ranging from 1.95–2.15 Å. In the twelfth Ir4+ site, Ir4+ is bonded to six O2- atoms to form face-sharing IrO6 octahedra. There are a spread of Ir–O bond distances ranging from 2.03–2.08 Å. There are five inequivalent Pd2+ sites. In the first Pd2+ site, Pd2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pd–O bond distances ranging from 2.16–2.48 Å. In the second Pd2+ site, Pd2+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (2.07 Å) and two longer (2.10 Å) Pd–O bond lengths. In the third Pd2+ site, Pd2+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Pd–O bond distances ranging from 2.06–2.10 Å. In the fourth Pd2+ site, Pd2+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Pd–O bond distances ranging from 2.08–2.10 Å. In the fifth Pd2+ site, Pd2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pd–O bond distances ranging from 2.15–2.51 Å. There are fifty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the third O2- site, O2- is bonded to four Ba2+ and one Ir4+ atom to form distorted OBa4Ir square pyramids that share corners with five OBa4Ir2 octahedra, an edgeedge with one OBa4Ir2 octahedra, faces with two OBa4Ir2 octahedra, and a faceface with one OBa4Ir square pyramid. The corner-sharing octahedra tilt angles range from 6–59°. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir4+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir4+ atoms. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir4+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+, one Ir4+, and one Pd2+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+ and one Ir4+ atom. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the twelfth O2- site, O2- is bonded to four Ba2+ and one Ir4+ atom to form a mixture of distorted corner, edge, and face-sharing OBa4Ir square pyramids. The corner-sharing octahedra tilt angles range from 8–58°. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the sixteenth O2- site, O2- is bonded to four Ba2+ and two Ir4+ atoms to form distorted OBa4Ir2 octahedra that share corners with three OBa4Ir2 octahedra, faces with two OBa4Ir2 octahedra, and a faceface with one OBa4Ir square pyramid. The corner-sharing octahedra tilt angles range from 28–55°. In the seventeenth O2- site, O2- is bonded to four Ba2+ and two Ir4+ atoms to form distorted OBa4Ir2 octahedra that share corners with three OBa4Ir2 octahedra, a cornercorner with one OBa4Ir square pyramid, and faces with two OBa4Ir2 octahedra. The corner-sharing octahedra tilt angles range from 31–57°. In the eighteenth O2- site, O2- is bonded to four Ba2+ and two Ir4+ atoms to form distorted OBa4Ir2 octahedra that share corners with two OBa4Ir2 octahedra, an edgeedge with one OBa4Ir2 octahedra, faces with two OBa4Ir2 octahedra, and a faceface with one OBa4Ir square pyramid. The corner-sharing octahedra tilt angles range from 36–42°. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+ and one Ir4+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the twenty-third O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the twenty-fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the twenty-fifth O2- site, O2- is bonded to four Ba2+ and two equivalent Ir4+ atoms to form distorted OBa4Ir2 octahedra that share corners with four OBa4Ir2 octahedra, corners with two equivalent OBa4Ir square pyramids, and edges with two equivalent OBa4Ir2 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. In the twenty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Ir4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the twenty-eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to four Ba2+, one Ir4+, and one Pd2+ atom. In the thirtieth O2- site, O2- is bonded to four Ba2+ and two Ir4+ atoms to form distorted OBa4Ir2 octahedra that share corners with three OBa4Ir2 octahedra, corners with two equivalent OBa4Ir square pyramids, an edgeedge with one OBa4Ir2 octahedra, and a faceface with one OBa4Ir2 octahedra. The corner-sharing octahedra tilt angles range from 33–58°. In the thirty-first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir4+ atoms. In the thirty-second O2- site, O2- is bonded to four Ba2+ and two Ir4+ atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Ir2 octahedra. The corner-sharing octahedra tilt angles range from 35–56°. In the thirty-third O2- site, O2- is bonded to four Ba2+ and two Ir4+ atoms to form distorted OBa4Ir2 octahedra that share corners with two OBa4Ir2 octahedra, an edgeedge with one OBa4Ir2 octahedra, an edgeedge with one OBa4Ir square pyramid, faces with two OBa4Ir2 octahedra, and a faceface with one OBa4Ir square pyramid. The corner-sharing octahedra tilt angles range from 28–57°. In the thirty-fourth O2- site, O2- is bonded to four Ba2+ and two Ir4+ atoms to form distorted OBa4Ir2 octahedra that share c

36 MATERIALS SCIENCE↗

Materials Data on Ba8Ta7O24 by Materials Project

Ba8Ta7O24 crystallizes in the trigonal P3m1 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 BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TaO6 octahedra. There are three shorter (2.88 Å) and nine longer (2.96 Å) Ba–O bond lengths. In the second Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are three shorter (2.78 Å) and six longer (3.02 Å) Ba–O bond lengths. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.63–3.27 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight TaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.82–2.98 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, faces with six BaO12 cuboctahedra, and faces with seven TaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.69–3.11 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent TaO6 octahedra, faces with four BaO12 cuboctahedra, and faces with seven TaO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ba–O bond distances ranging from 2.88–2.96 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with three equivalent BaO12 cuboctahedra, and faces with five TaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–3.15 Å. In the eighth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent TaO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with seven TaO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.84–3.06 Å. There are seven inequivalent Ta+4.57+ sites. In the first Ta+4.57+ site, Ta+4.57+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are three shorter (1.96 Å) and three longer (2.10 Å) Ta–O bond lengths. In the second Ta+4.57+ site, Ta+4.57+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TaO6 octahedra, faces with six BaO12 cuboctahedra, and a faceface with one TaO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are three shorter (2.05 Å) and three longer (2.09 Å) Ta–O bond lengths. In the third Ta+4.57+ site, Ta+4.57+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TaO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one TaO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (2.07 Å) and three longer (2.10 Å) Ta–O bond lengths. In the fourth Ta+4.57+ site, Ta+4.57+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three equivalent TaO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 7°. There are three shorter (1.88 Å) and three longer (2.26 Å) Ta–O bond lengths. In the fifth Ta+4.57+ site, Ta+4.57+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (2.05 Å) and three longer (2.06 Å) Ta–O bond lengths. In the sixth Ta+4.57+ site, Ta+4.57+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six TaO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are three shorter (2.00 Å) and three longer (2.10 Å) Ta–O bond lengths. In the seventh Ta+4.57+ site, Ta+4.57+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three equivalent TaO6 octahedra and faces with two BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 8°. There are three shorter (1.88 Å) and three longer (2.22 Å) Ta–O bond lengths. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Ta+4.57+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+ and two Ta+4.57+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ta+4.57+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ta+4.57+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ta+4.57+ atoms. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ta+4.57+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Ta+4.57+ atoms. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Ta+4.57+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba8Nb7O24 by Materials Project

Ba8Nb7O24 crystallizes in the trigonal P3m1 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 BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent NbO6 octahedra, faces with four BaO12 cuboctahedra, and faces with seven NbO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ba–O bond distances ranging from 2.88–2.97 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with three equivalent BaO12 cuboctahedra, and faces with five NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.94–3.09 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.23 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent NbO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with seven NbO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.84–3.07 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–3.01 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–2.98 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to nine O2- atoms. There are three shorter (2.79 Å) and six longer (3.02 Å) Ba–O bond lengths. In the eighth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with seven NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.72–3.09 Å. There are seven inequivalent Nb+4.57+ sites. In the first Nb+4.57+ site, Nb+4.57+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are three shorter (2.01 Å) and three longer (2.11 Å) Nb–O bond lengths. In the second Nb+4.57+ site, Nb+4.57+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent NbO6 octahedra, faces with six BaO12 cuboctahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are three shorter (2.05 Å) and three longer (2.11 Å) Nb–O bond lengths. In the third Nb+4.57+ site, Nb+4.57+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent NbO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (2.07 Å) and three longer (2.11 Å) Nb–O bond lengths. In the fourth Nb+4.57+ site, Nb+4.57+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with three equivalent NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 7°. There are three shorter (1.88 Å) and three longer (2.29 Å) Nb–O bond lengths. In the fifth Nb+4.57+ site, Nb+4.57+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent NbO6 octahedra and faces with two BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 9°. There are three shorter (1.88 Å) and three longer (2.25 Å) Nb–O bond lengths. In the sixth Nb+4.57+ site, Nb+4.57+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are three shorter (1.96 Å) and three longer (2.12 Å) Nb–O bond lengths. In the seventh Nb+4.57+ site, Nb+4.57+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. All Nb–O bond lengths are 2.07 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Nb+4.57+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+ and two Nb+4.57+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.57+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Nb+4.57+ atoms. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Nb+4.57+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Nb+4.57+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.57+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.57+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Hg by Materials Project

Mg5Hg crystallizes in the trigonal R32 space group. The structure is three-dimensional. there are nine inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Hg atoms to form distorted MgMg10Hg2 cuboctahedra that share corners with eighteen MgMg10Hg2 cuboctahedra, edges with four equivalent HgMg12 cuboctahedra, edges with fourteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.18 Å. Both Mg–Hg bond lengths are 3.15 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Hg atoms to form distorted MgMg10Hg2 cuboctahedra that share corners with eighteen MgMg10Hg2 cuboctahedra, edges with four equivalent HgMg12 cuboctahedra, edges with fourteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.18 Å. Both Mg–Hg bond lengths are 3.15 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Hg atoms to form distorted MgMg10Hg2 cuboctahedra that share corners with eighteen MgMg10Hg2 cuboctahedra, edges with four equivalent HgMg12 cuboctahedra, edges with fourteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. There are two shorter (3.14 Å) and two longer (3.16 Å) Mg–Mg bond lengths. Both Mg–Hg bond lengths are 3.15 Å. In the fourth Mg site, Mg is bonded to nine Mg and three equivalent Hg atoms to form distorted MgMg9Hg3 cuboctahedra that share corners with six equivalent HgMg12 cuboctahedra, corners with twelve MgMg9Hg3 cuboctahedra, edges with eighteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. All Mg–Mg bond lengths are 3.16 Å. All Mg–Hg bond lengths are 3.16 Å. In the fifth Mg site, Mg is bonded to nine Mg and three equivalent Hg atoms to form distorted MgMg9Hg3 cuboctahedra that share corners with six equivalent HgMg12 cuboctahedra, corners with twelve MgMg9Hg3 cuboctahedra, edges with eighteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. All Mg–Hg bond lengths are 3.16 Å. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Hg atoms to form distorted MgMg10Hg2 cuboctahedra that share corners with eighteen MgMg10Hg2 cuboctahedra, edges with four equivalent HgMg12 cuboctahedra, edges with fourteen MgMg9Hg3 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.18 Å. Both Mg–Hg bond lengths are 3.15 Å. In the seventh Mg site, Mg is bonded to nine Mg and three equivalent Hg atoms to form distorted MgMg9Hg3 cuboctahedra that share corners with six equivalent HgMg12 cuboctahedra, corners with twelve MgMg9Hg3 cuboctahedra, edges with eighteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. All Mg–Mg bond lengths are 3.16 Å. All Mg–Hg bond lengths are 3.16 Å. In the eighth Mg site, Mg is bonded to nine Mg and three equivalent Hg atoms to form distorted MgMg9Hg3 cuboctahedra that share corners with six equivalent HgMg12 cuboctahedra, corners with twelve MgMg9Hg3 cuboctahedra, edges with eighteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. All Mg–Hg bond lengths are 3.16 Å. In the ninth Mg site, Mg is bonded to nine Mg and three equivalent Hg atoms to form distorted MgMg9Hg3 cuboctahedra that share corners with six equivalent HgMg12 cuboctahedra, corners with twelve MgMg9Hg3 cuboctahedra, edges with eighteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. There are three shorter (3.14 Å) and five longer (3.16 Å) Mg–Mg bond lengths. All Mg–Hg bond lengths are 3.16 Å. Hg is bonded to twelve Mg atoms to form HgMg12 cuboctahedra that share corners with six equivalent HgMg12 cuboctahedra, corners with twelve MgMg9Hg3 cuboctahedra, edges with six equivalent HgMg12 cuboctahedra, edges with twelve MgMg10Hg2 cuboctahedra, and faces with twenty MgMg10Hg2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on K5Na3Ta8O24 by Materials Project

K5Na3Ta8O24 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are four 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 equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, and faces with eight equivalent TaO6 octahedra. There are four shorter (2.84 Å) and eight longer (2.85 Å) K–O bond lengths. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight equivalent TaO6 octahedra. There are eight shorter (2.84 Å) and four longer (2.85 Å) K–O bond lengths. In the third K1+ site, 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 six KO12 cuboctahedra, and faces with eight equivalent TaO6 octahedra. There are four shorter (2.84 Å) and eight longer (2.85 Å) K–O bond lengths. In the fourth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 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, and faces with eight equivalent TaO6 octahedra. There are eight shorter (2.84 Å) and four longer (2.85 Å) K–O bond lengths. There are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent TaO6 octahedra. All Na–O bond lengths are 2.83 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 KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight equivalent TaO6 octahedra. There are eight shorter (2.83 Å) and four longer (2.84 Å) Na–O bond lengths. Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six equivalent TaO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Ta–O bond distances ranging from 2.00–2.02 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two equivalent Ta5+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two equivalent Ta5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, and two equivalent Ta5+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three K1+, one Na1+, and two equivalent Ta5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on La3SmCr2(FeO6)2 by Materials Project

SmLa3Cr2(FeO6)2 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with four equivalent CrO6 octahedra, and faces with four equivalent FeO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.75–2.77 Å. There are three inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with four equivalent CrO6 octahedra, and faces with four equivalent FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.80 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with four equivalent CrO6 octahedra, and faces with four equivalent FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.80 Å. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with four equivalent CrO6 octahedra, and faces with four equivalent FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.80 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent CrO6 octahedra, faces with two equivalent SmO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Cr–O bond distances ranging from 1.95–1.97 Å. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent FeO6 octahedra, faces with two equivalent SmO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 1.96–1.98 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Cr3+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, and two equivalent Fe3+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, and two equivalent Cr3+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, one Cr3+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Cr3+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Fe3+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Cr3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K5Na3Nb8O24 by Materials Project

K5Na3Nb8O24 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are four 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 equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are four shorter (2.85 Å) and eight longer (2.88 Å) K–O bond lengths. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are eight shorter (2.86 Å) and four longer (2.88 Å) K–O bond lengths. In the third K1+ site, 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 six KO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are four shorter (2.86 Å) and eight longer (2.88 Å) K–O bond lengths. In the fourth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 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, and faces with eight equivalent NbO6 octahedra. There are eight shorter (2.85 Å) and four longer (2.88 Å) K–O bond lengths. There are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are eight shorter (2.83 Å) and four longer (2.84 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. There are eight shorter (2.83 Å) and four longer (2.86 Å) Na–O bond lengths. Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six equivalent NbO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Nb–O bond distances ranging from 2.01–2.03 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two equivalent Nb5+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two equivalent Nb5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, and two equivalent Nb5+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three K1+, one Na1+, and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K2Na2Mo3WO12 by Materials Project

K2Na2WMo3O12 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, faces with two equivalent WO6 octahedra, and faces with six MoO6 octahedra. There are a spread of K–O bond distances ranging from 2.81–2.86 Å. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, faces with two equivalent WO6 octahedra, and faces with six MoO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.86 Å. W2+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four equivalent 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 1.93–2.00 Å. There are two 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 1.96–2.08 Å. In the second 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 is five shorter (1.96 Å) and one longer (2.00 Å) Mo–O bond length. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four equivalent K1+ and two equivalent W2+ atoms to form distorted OK4W2 octahedra that share corners with twenty OK2Na2Mo2 octahedra, edges with four equivalent OK4Mo2 octahedra, and faces with eight equivalent OK2Na2MoW octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Na1+ and two equivalent W2+ atoms. In the third O2- site, O2- is bonded to four equivalent K1+ and two equivalent Mo6+ atoms to form distorted OK4Mo2 octahedra that share corners with twenty OK2Na2MoW octahedra, edges with four OK4W2 octahedra, and faces with eight OK2Na2MoW octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Na1+ and two equivalent Mo6+ atoms. In the fifth O2- site, O2- is bonded to four equivalent K1+ and two equivalent Mo6+ atoms to form distorted OK4Mo2 octahedra that share corners with twenty OK2Na2MoW octahedra, edges with four equivalent OK4Mo2 octahedra, and faces with eight equivalent OK2Na2Mo2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Na1+ and two equivalent Mo6+ atoms. In the seventh O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, one W2+, and one Mo6+ atom to form distorted OK2Na2MoW octahedra that share corners with eighteen OK4Mo2 octahedra, edges with four OK2Na2MoW octahedra, and faces with six OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–65°. 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 eighteen OK4W2 octahedra, edges with four OK2Na2MoW octahedra, and faces with six OK4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°.

36 MATERIALS SCIENCE↗

Materials Data on Ba3Sr5Ti8O24 by Materials Project

Ba3Sr5Ti8O24 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.81–2.86 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are four shorter (2.85 Å) and eight longer (2.86 Å) Ba–O bond lengths. 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 BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.76–2.81 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are eight shorter (2.78 Å) and four longer (2.83 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 SrO12 cuboctahedra, corners with eight equivalent BaO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are eight shorter (2.76 Å) and four longer (2.80 Å) Sr–O bond lengths. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are four shorter (2.77 Å) and eight longer (2.83 Å) Sr–O bond lengths. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent TiO6 octahedra, faces with three BaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.96–2.02 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Ba2+, two Sr2+, and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three Sr2+, and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+, one Sr2+, and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on La3SmV2Cr2O12 by Materials Project

SmLa3V2Cr2O12 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with four equivalent VO6 octahedra, and faces with four equivalent CrO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.73–2.79 Å. There are three inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with four equivalent VO6 octahedra, and faces with four equivalent CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.81 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with four equivalent VO6 octahedra, and faces with four equivalent CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.76–2.83 Å. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with four equivalent VO6 octahedra, and faces with four equivalent CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.82 Å. V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent VO6 octahedra, faces with two equivalent SmO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of V–O bond distances ranging from 1.95–2.00 Å. Cr+2.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four equivalent CrO6 octahedra, faces with two equivalent SmO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Cr–O bond distances ranging from 1.94–1.98 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent V+3.50+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Cr+2.50+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, and two equivalent V+3.50+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, and two equivalent Cr+2.50+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, one V+3.50+, and one Cr+2.50+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one V+3.50+, and one Cr+2.50+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent V+3.50+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Cr+2.50+ atoms.

36 MATERIALS SCIENCE↗