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Materials Data on Yb2Ce8O19 by Materials Project

Yb2Ce8O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Yb–O bond distances ranging from 2.25–2.43 Å. In the second Yb3+ site, Yb3+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Yb–O bond distances ranging from 2.25–2.43 Å. There are eight inequivalent Ce4+ sites. In the first Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.34–2.38 Å. In the second Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.31–2.39 Å. In the third Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are two shorter (2.35 Å) and six longer (2.36 Å) Ce–O bond lengths. In the fourth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.35–2.37 Å. In the fifth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.35–2.37 Å. In the sixth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.34–2.38 Å. In the seventh Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.31–2.40 Å. In the eighth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.35–2.37 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the second O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the third O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the fourth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the fifth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the sixth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the seventh O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the eighth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the ninth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Ce4+ atoms to form a mixture of edge and corner-sharing OYb2Ce2 tetrahedra. In the eleventh O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Ce4+ atoms to form a mixture of edge and corner-sharing OYb2Ce2 tetrahedra. In the twelfth O2- site, O2- is bonded to four Yb3+ atoms to form a mixture of edge and corner-sharing OYb4 tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Ce4+ atoms to form a mixture of edge and corner-sharing OYb2Ce2 tetrahedra. In the fourteenth O2- site, O2- is bonded to two equivalent Yb3+ and two equivalent Ce4+ atoms to form a mixture of edge and corner-sharing OYb2Ce2 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on U8Bi2O19 by Materials Project

U8Bi2O19 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent U4+ sites. In the first U4+ site, U4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.24–2.41 Å. In the second U4+ site, U4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.32–2.36 Å. In the third U4+ site, U4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.34–2.36 Å. In the fourth U4+ site, U4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.35–2.37 Å. In the fifth U4+ site, U4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are one shorter (2.35 Å) and seven longer (2.36 Å) U–O bond lengths. In the sixth U4+ site, U4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.35 Å) and four longer (2.36 Å) U–O bond lengths. In the seventh U4+ site, U4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.32–2.36 Å. In the eighth U4+ site, U4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.24–2.40 Å. There are two inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.34–2.52 Å. In the second Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are two shorter (2.33 Å) and four longer (2.50 Å) Bi–O bond lengths. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the second O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the third O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the fourth O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the fifth O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the sixth O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the seventh O2- site, O2- is bonded to four U4+ atoms to form OU4 tetrahedra that share corners with sixteen OU4 tetrahedra and edges with six OU2Bi2 tetrahedra. In the eighth O2- site, O2- is bonded to two equivalent U4+ and two equivalent Bi3+ atoms to form a mixture of distorted edge and corner-sharing OU2Bi2 tetrahedra. In the ninth O2- site, O2- is bonded to two equivalent U4+ and two equivalent Bi3+ atoms to form distorted OU2Bi2 tetrahedra that share corners with fourteen OU4 tetrahedra and edges with five OU2Bi2 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent U4+ and two equivalent Bi3+ atoms to form distorted OU2Bi2 tetrahedra that share corners with twelve OU2Bi2 tetrahedra and edges with six OBi4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent U4+ and two equivalent Bi3+ atoms to form distorted OU2Bi2 tetrahedra that share corners with fourteen OBi4 tetrahedra and edges with five OU2Bi2 tetrahedra. In the thirteenth O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four U4+ atoms to form a mixture of edge and corner-sharing OU4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on CeZr6O14 by Materials Project

CeZr6O14 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.23–2.49 Å. There are seven inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.40 Å. In the second Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.44 Å. In the third Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.44 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.40 Å. In the fifth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.44 Å. In the sixth Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.43 Å. In the seventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.41 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OCeZr3 tetrahedra and edges with six OZr4 tetrahedra. In the third O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OCeZr3 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to two equivalent Ce4+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OCe2Zr2 tetrahedra. In the sixth O2- site, O2- is bonded to two equivalent Ce4+ and two Zr4+ atoms to form OCe2Zr2 tetrahedra that share corners with sixteen OZr4 tetrahedra and edges with six OCeZr3 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OCe2Zr2 tetrahedra and edges with six OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OCe2Zr2 tetrahedra and edges with six OCeZr3 tetrahedra. In the ninth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with sixteen OCeZr3 tetrahedra and edges with six OCe2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with sixteen OCeZr3 tetrahedra and edges with six OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OCeZr3 tetrahedra. In the twelfth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with sixteen OCeZr3 tetrahedra and edges with six OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OCeZr3 tetrahedra and edges with six OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with sixteen OCeZr3 tetrahedra and edges with six OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y9U5O28 by Materials Project

U5Y9O28 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent U+5.80+ sites. In the first U+5.80+ site, U+5.80+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.14–2.35 Å. In the second U+5.80+ site, U+5.80+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.16–2.34 Å. In the third U+5.80+ site, U+5.80+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of U–O bond distances ranging from 2.16–2.39 Å. There are five inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.34–2.39 Å. In the second Y3+ site, Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.34–2.39 Å. In the third Y3+ site, Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.34–2.39 Å. In the fourth Y3+ site, Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.34–2.42 Å. In the fifth Y3+ site, Y3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.33–2.40 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one U+5.80+ and three Y3+ atoms to form OY3U tetrahedra that share corners with sixteen OY2U2 tetrahedra and edges with six OY3U tetrahedra. In the second O2- site, O2- is bonded to two equivalent U+5.80+ and two Y3+ atoms to form a mixture of edge and corner-sharing OY2U2 tetrahedra. In the third O2- site, O2- is bonded to one U+5.80+ and three Y3+ atoms to form OY3U tetrahedra that share corners with sixteen OY3U tetrahedra and edges with six OY2U2 tetrahedra. In the fourth O2- site, O2- is bonded to one U+5.80+ and three Y3+ atoms to form a mixture of edge and corner-sharing OY3U tetrahedra. In the fifth O2- site, O2- is bonded to two U+5.80+ and two Y3+ atoms to form OY2U2 tetrahedra that share corners with sixteen OY3U tetrahedra and edges with six OY2U2 tetrahedra. In the sixth O2- site, O2- is bonded to one U+5.80+ and three Y3+ atoms to form a mixture of edge and corner-sharing OY3U tetrahedra. In the seventh O2- site, O2- is bonded to two U+5.80+ and two Y3+ atoms to form a mixture of edge and corner-sharing OY2U2 tetrahedra. In the eighth O2- site, O2- is bonded to one U+5.80+ and three Y3+ atoms to form a mixture of edge and corner-sharing OY3U tetrahedra. In the ninth O2- site, O2- is bonded to one U+5.80+ and three Y3+ atoms to form OY3U tetrahedra that share corners with sixteen OY3U tetrahedra and edges with six OY2U2 tetrahedra. In the tenth O2- site, O2- is bonded to two U+5.80+ and two equivalent Y3+ atoms to form a mixture of edge and corner-sharing OY2U2 tetrahedra. In the eleventh O2- site, O2- is bonded to one U+5.80+ and three Y3+ atoms to form OY3U tetrahedra that share corners with sixteen OY2U2 tetrahedra and edges with six OY3U tetrahedra. In the twelfth O2- site, O2- is bonded to one U+5.80+ and three Y3+ atoms to form a mixture of edge and corner-sharing OY3U tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent U+5.80+ and two Y3+ atoms to form OY2U2 tetrahedra that share corners with sixteen OY3U tetrahedra and edges with six OY2U2 tetrahedra. In the fourteenth O2- site, O2- is bonded to two U+5.80+ and two Y3+ atoms to form OY2U2 tetrahedra that share corners with sixteen OY3U tetrahedra and edges with six OY2U2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on TbCeO4 by Materials Project

TbCeO4 is Fluorite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Tb4+ sites. In the first Tb4+ site, Tb4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Tb–O bond distances ranging from 2.34–2.41 Å. In the second Tb4+ site, Tb4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Tb–O bond distances ranging from 2.33–2.42 Å. In the third Tb4+ site, Tb4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Tb–O bond distances ranging from 2.35–2.41 Å. In the fourth Tb4+ site, Tb4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Tb–O bond distances ranging from 2.34–2.40 Å. There are four inequivalent Ce4+ sites. In the first Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.34–2.39 Å. In the second Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.33–2.38 Å. In the third Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.33–2.38 Å. In the fourth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.33–2.38 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form OTb2Ce2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OTb2Ce2 tetrahedra. In the second O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the third O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the fourth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the fifth O2- site, O2- is bonded to four Tb4+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the sixth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the seventh O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the eighth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the ninth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the tenth O2- site, O2- is bonded to four Tb4+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the eleventh O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form OTb2Ce2 tetrahedra that share corners with sixteen OTb2Ce2 tetrahedra and edges with six OCe4 tetrahedra. In the twelfth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the fourteenth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form OTb2Ce2 tetrahedra that share corners with sixteen OTb2Ce2 tetrahedra and edges with six OCe4 tetrahedra. In the fifteenth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the sixteenth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form OTb2Ce2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OTb2Ce2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on HfZrO4 by Materials Project

HfZrO4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.02–2.51 Å. In the second Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.12–2.34 Å. In the third Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.10–2.37 Å. In the fourth Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.19–2.22 Å. There are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.14–2.35 Å. In the second Zr4+ site, Zr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.05–2.49 Å. In the third Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.25 Å. In the fourth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.12–2.38 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Hf4+ and two Zr4+ atoms. In the second O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with twelve OHf2Zr2 tetrahedra and edges with three OZr4 tetrahedra. In the third O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with sixteen OHf2Zr2 tetrahedra and edges with three OZr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Hf4+ atoms. In the sixth O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with sixteen OHf2Zr2 tetrahedra and edges with three OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with twelve OHf2Zr2 tetrahedra and edges with three OZr4 tetrahedra. In the eighth O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with ten OZr4 tetrahedra and edges with six OHf2Zr2 tetrahedra. In the ninth O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form a mixture of distorted corner and edge-sharing OHf2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eleventh O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with twelve OHf2Zr2 tetrahedra and edges with three OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Hf4+ and two Zr4+ atoms. In the thirteenth O2- site, O2- is bonded to four Hf4+ atoms to form a mixture of distorted corner and edge-sharing OHf4 tetrahedra. In the fourteenth O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with sixteen OHf2Zr2 tetrahedra and edges with three OZr4 tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Hf4+ and two Zr4+ atoms. In the sixteenth O2- site, O2- is bonded to two Hf4+ and two Zr4+ atoms to form distorted OHf2Zr2 tetrahedra that share corners with ten OZr4 tetrahedra and edges with six OHf2Zr2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg9Al8Fe3(SiO4)12 by Materials Project

Mg9Fe3Al8(SiO4)12 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are six inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.22–2.38 Å. In the second Mg2+ site, Mg2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.21–2.38 Å. In the third Mg2+ site, Mg2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.22 Å) and four longer (2.37 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.22–2.38 Å. In the fifth Mg2+ site, Mg2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.22–2.38 Å. In the sixth Mg2+ site, Mg2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Mg–O bond distances ranging from 2.21–2.38 Å. There are two inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Fe–O bond distances ranging from 2.25–2.39 Å. In the second Fe2+ site, Fe2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Fe–O bond distances ranging from 2.25–2.39 Å. There are four inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SiO4 tetrahedra. There is two shorter (1.90 Å) and four longer (1.91 Å) Al–O bond length. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SiO4 tetrahedra. There is two shorter (1.90 Å) and four longer (1.91 Å) Al–O bond length. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SiO4 tetrahedra. There is three shorter (1.90 Å) and three longer (1.91 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SiO4 tetrahedra. There is two shorter (1.90 Å) and four longer (1.91 Å) Al–O bond length. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. All Si–O bond lengths are 1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedral tilt angles are 49°. All Si–O bond lengths are 1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedral tilt angles are 49°. All Si–O bond lengths are 1.65 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. All Si–O bond lengths are 1.65 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedral tilt angles are 49°. All Si–O bond lengths are 1.65 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. All Si–O bond lengths are 1.65 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. All Si–O bond lengths are 1.65 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedral tilt angles are 49°. All Si–O bond lengths are 1.65 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, one Fe2+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Fe2+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, one Fe2+, one Al3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, one Fe2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, one Fe2+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, one Fe2+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, one Fe2+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, one Fe2+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, one Fe2+, one Al3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Fe2+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Mg2+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn3Al2V3 by Materials Project

V3Mn3Al2 is Heusler-like structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are three inequivalent V sites. In the first V site, V is bonded in a distorted body-centered cubic geometry to three equivalent V and five Mn atoms. All V–V bond lengths are 2.57 Å. There are a spread of V–Mn bond distances ranging from 2.56–2.60 Å. In the second V site, V is bonded in a distorted body-centered cubic geometry to one V and seven Mn atoms. The V–V bond length is 2.57 Å. There are a spread of V–Mn bond distances ranging from 2.53–2.57 Å. In the third V site, V is bonded in a distorted body-centered cubic geometry to four V, six Mn, and four Al atoms. There are three shorter (2.98 Å) and three longer (2.99 Å) V–Mn bond lengths. There are three shorter (2.57 Å) and one longer (2.59 Å) V–Al bond lengths. There are three inequivalent Mn sites. In the first Mn site, Mn is bonded in a body-centered cubic geometry to four V and four Al atoms. There are one shorter (2.54 Å) and three longer (2.57 Å) Mn–Al bond lengths. In the second Mn site, Mn is bonded in a distorted body-centered cubic geometry to seven V and four Al atoms. There are three shorter (2.56 Å) and one longer (2.61 Å) Mn–Al bond lengths. In the third Mn site, Mn is bonded in a distorted body-centered cubic geometry to seven V and four Al atoms. There are one shorter (2.52 Å) and three longer (2.57 Å) Mn–Al bond lengths. There are two inequivalent Al sites. In the first Al site, Al is bonded in a distorted body-centered cubic geometry to three equivalent V and five Mn atoms. In the second Al site, Al is bonded in a distorted body-centered cubic geometry to one V and seven Mn atoms.

36 MATERIALS SCIENCE↗

Materials Data on Y9Er3Al20O48 by Materials Project

Er3Y9Al20O48 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are two inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.32 Å) and four longer (2.45 Å) Er–O bond lengths. In the second Er3+ site, Er3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.32 Å) and four longer (2.45 Å) Er–O bond lengths. There are six inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.33–2.47 Å. In the second Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.33–2.47 Å. In the third Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.33–2.47 Å. In the fourth Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.33–2.47 Å. In the fifth Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.33–2.47 Å. In the sixth Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.33–2.47 Å. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. All Al–O bond lengths are 1.78 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. All Al–O bond lengths are 1.78 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. All Al–O bond lengths are 1.78 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. All Al–O bond lengths are 1.78 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. All Al–O bond lengths are 1.78 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. All Al–O bond lengths are 1.78 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. All Al–O bond lengths are 1.78 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. All Al–O bond lengths are 1.78 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form corner-sharing AlO6 octahedra. All Al–O bond lengths are 1.95 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form corner-sharing AlO6 octahedra. All Al–O bond lengths are 1.95 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form corner-sharing AlO6 octahedra. All Al–O bond lengths are 1.95 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form corner-sharing AlO6 octahedra. All Al–O bond lengths are 1.95 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Er3+ and two Al3+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Er3+, one Y3+, and two Al3+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Er3+, one Y3+, and two Al3+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Er3+, one Y3+, and two Al3+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Er3+, one Y3+, and two Al3+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Er3+ and two Al3+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Er3+, one Y3+, and two Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Er3+, one Y3+, and two Al3+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Er3+, one Y3+, and two Al3+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Er3+, one Y3+, and two Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Yb9Y3Al20O48 by Materials Project

Yb9Y3Al20O48 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are six inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.36–2.49 Å. In the second Yb3+ site, Yb3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.35–2.50 Å. In the third Yb3+ site, Yb3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.37–2.47 Å. In the fourth Yb3+ site, Yb3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.37–2.47 Å. In the fifth Yb3+ site, Yb3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.36–2.47 Å. In the sixth Yb3+ site, Yb3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.36–2.47 Å. There are two inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.32–2.47 Å. In the second Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.32–2.46 Å. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There is three shorter (1.78 Å) and one longer (1.79 Å) Al–O bond length. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. All Al–O bond lengths are 1.78 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There is two shorter (1.77 Å) and two longer (1.78 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. All Al–O bond lengths are 1.78 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. All Al–O bond lengths are 1.78 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. All Al–O bond lengths are 1.78 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There is two shorter (1.78 Å) and two longer (1.79 Å) Al–O bond length. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There is one shorter (1.77 Å) and three longer (1.78 Å) Al–O bond length. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form corner-sharing AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.95 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form corner-sharing AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.95 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form corner-sharing AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.95 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form corner-sharing AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.94 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+, one Y3+, and two Al3+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+, one Y3+, and two Al3+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+, one Y3+, and two Al3+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+, one Y3+, and two Al3+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+, one Y3+, and two Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+, one Y3+, and two Al3+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+, one Y3+, and two Al3+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+, one Y3+, and two Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn6OF11 by Materials Project

Mn6OF11 crystallizes in the orthorhombic Cmm2 space group. The structure is three-dimensional. there are nine inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.18–2.37 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to two equivalent O2- and six F1- atoms. Both Mn–O bond lengths are 2.20 Å. There are a spread of Mn–F bond distances ranging from 2.21–2.34 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded in a 8-coordinate geometry to six F1- atoms. There are a spread of Mn–F bond distances ranging from 2.08–2.30 Å. In the fourth Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.23–2.34 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.22–2.36 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.25–2.32 Å. In the seventh Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.14–2.42 Å. In the eighth Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.17–2.38 Å. In the ninth Mn+2.17+ site, Mn+2.17+ is bonded in a distorted body-centered cubic geometry to two equivalent O2- and six F1- atoms. Both Mn–O bond lengths are 1.88 Å. There are a spread of Mn–F bond distances ranging from 2.17–2.52 Å. O2- is bonded in a 3-coordinate geometry to three Mn+2.17+ atoms. There are eleven inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to four Mn+2.17+ atoms. In the second F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of distorted corner and edge-sharing FMn4 tetrahedra. In the third F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the fourth F1- site, F1- is bonded in a 4-coordinate geometry to four Mn+2.17+ atoms. In the fifth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the sixth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the seventh F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the eighth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the ninth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the tenth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the eleventh F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Rb by Materials Project

Rb crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Rb sites. In the first Rb site, Rb is bonded in a distorted body-centered cubic geometry to eight Rb atoms. There are a spread of Rb–Rb bond distances ranging from 4.76–5.10 Å. In the second Rb site, Rb is bonded in a distorted body-centered cubic geometry to eight Rb atoms. There are a spread of Rb–Rb bond distances ranging from 4.76–5.08 Å. In the third Rb site, Rb is bonded in a body-centered cubic geometry to eight Rb atoms. There are a spread of Rb–Rb bond distances ranging from 4.79–5.07 Å. In the fourth Rb site, Rb is bonded in a body-centered cubic geometry to eight Rb atoms. There are a spread of Rb–Rb bond distances ranging from 4.77–5.09 Å. In the fifth Rb site, Rb is bonded in a body-centered cubic geometry to eight Rb atoms. There are one shorter (4.83 Å) and one longer (4.84 Å) Rb–Rb bond lengths. In the sixth Rb site, Rb is bonded in a body-centered cubic geometry to eight Rb atoms. There are one shorter (4.79 Å) and one longer (5.07 Å) Rb–Rb bond lengths. In the seventh Rb site, Rb is bonded in a body-centered cubic geometry to eight Rb atoms. There are one shorter (4.77 Å) and one longer (4.94 Å) Rb–Rb bond lengths. In the eighth Rb site, Rb is bonded in a body-centered cubic geometry to eight Rb atoms.

36 MATERIALS SCIENCE↗

Materials Data on Yb2CdPd3 by Materials Project

Yb2Pd3Cd is Heusler-like structured and crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are three inequivalent Yb sites. In the first Yb site, Yb is bonded in a body-centered cubic geometry to eight Pd atoms. There are two shorter (2.89 Å) and six longer (2.93 Å) Yb–Pd bond lengths. In the second Yb site, Yb is bonded in a distorted body-centered cubic geometry to eight Pd atoms. There are a spread of Yb–Pd bond distances ranging from 2.83–3.09 Å. In the third Yb site, Yb is bonded in a body-centered cubic geometry to eight Pd atoms. There are two shorter (2.95 Å) and six longer (2.96 Å) Yb–Pd bond lengths. There are four inequivalent Pd sites. In the first Pd site, Pd is bonded in a body-centered cubic geometry to four Yb and four equivalent Cd atoms. There are one shorter (2.86 Å) and three longer (2.96 Å) Pd–Cd bond lengths. In the second Pd site, Pd is bonded in a body-centered cubic geometry to seven Yb and one Cd atom. The Pd–Cd bond length is 2.90 Å. In the third Pd site, Pd is bonded in a body-centered cubic geometry to five Yb and three equivalent Cd atoms. All Pd–Cd bond lengths are 2.94 Å. In the fourth Pd site, Pd is bonded in a body-centered cubic geometry to seven Yb and one Cd atom. The Pd–Cd bond length is 2.90 Å. Cd is bonded in a distorted body-centered cubic geometry to eight Pd atoms.

36 MATERIALS SCIENCE↗

Materials Data on La2Th8O19 by Materials Project

Th8La2O19 is alpha bismuth trifluoride-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are eight inequivalent Th4+ sites. In the first Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.32–2.55 Å. In the second Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.32–2.48 Å. In the third Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.33–2.50 Å. In the fourth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.33–2.50 Å. In the fifth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.33–2.50 Å. In the sixth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.33–2.50 Å. In the seventh Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.32–2.50 Å. In the eighth Th4+ site, Th4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Th–O bond distances ranging from 2.34–2.51 Å. There are two inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are two shorter (2.31 Å) and four longer (2.39 Å) La–O bond lengths. In the second La3+ site, La3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of La–O bond distances ranging from 2.22–2.61 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the second O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the third O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the fourth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the fifth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the sixth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the seventh O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the eighth O2- site, O2- is bonded to two equivalent Th4+ and two equivalent La3+ atoms to form a mixture of edge and corner-sharing OLa2Th2 tetrahedra. In the ninth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Th4+ and two equivalent La3+ atoms to form a mixture of edge and corner-sharing OLa2Th2 tetrahedra. In the eleventh O2- site, O2- is bonded to four La3+ atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent Th4+ and two equivalent La3+ atoms to form OLa2Th2 tetrahedra that share corners with twelve OTh4 tetrahedra and edges with six OLa4 tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent Th4+ and two equivalent La3+ atoms to form a mixture of edge and corner-sharing OLa2Th2 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Th4+ atoms to form a mixture of edge and corner-sharing OTh4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on TbCeO4 by Materials Project

TbCeO4 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Tb4+ sites. In the first Tb4+ site, Tb4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Tb–O bond distances ranging from 2.36–2.41 Å. In the second Tb4+ site, Tb4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Tb–O bond distances ranging from 2.36–2.41 Å. In the third Tb4+ site, Tb4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Tb–O bond distances ranging from 2.36–2.41 Å. In the fourth Tb4+ site, Tb4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Tb–O bond distances ranging from 2.36–2.41 Å. There are four inequivalent Ce4+ sites. In the first Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.34–2.39 Å. In the second Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.34–2.40 Å. In the third Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.34–2.39 Å. In the fourth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.34–2.39 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form OTb2Ce2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OTb2Ce2 tetrahedra. In the second O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the third O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the fourth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the fifth O2- site, O2- is bonded to four Tb4+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the sixth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the seventh O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the eighth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the ninth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the tenth O2- site, O2- is bonded to four Tb4+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the eleventh O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form OTb2Ce2 tetrahedra that share corners with sixteen OTb2Ce2 tetrahedra and edges with six OCe4 tetrahedra. In the twelfth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the fourteenth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form OTb2Ce2 tetrahedra that share corners with sixteen OTb2Ce2 tetrahedra and edges with six OCe4 tetrahedra. In the fifteenth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form a mixture of edge and corner-sharing OTb2Ce2 tetrahedra. In the sixteenth O2- site, O2- is bonded to two Tb4+ and two Ce4+ atoms to form OTb2Ce2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OTb2Ce2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mn9Al8Fe3(SiO4)12 by Materials Project

Mn9Fe3Al8(SiO4)12 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are six inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.27–2.44 Å. In the second Mn2+ site, Mn2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.27–2.44 Å. In the third Mn2+ site, Mn2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.27–2.44 Å. In the fourth Mn2+ site, Mn2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Mn–O bond distances ranging from 2.27–2.44 Å. In the fifth Mn2+ site, Mn2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.27 Å) and four longer (2.43 Å) Mn–O bond lengths. In the sixth Mn2+ site, Mn2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.27 Å) and four longer (2.43 Å) Mn–O bond lengths. There are two inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.25 Å) and four longer (2.42 Å) Fe–O bond lengths. In the second Fe2+ site, Fe2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are four shorter (2.25 Å) and four longer (2.42 Å) Fe–O bond lengths. There are four inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SiO4 tetrahedra. There is four shorter (1.91 Å) and two longer (1.92 Å) Al–O bond length. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SiO4 tetrahedra. There is three shorter (1.91 Å) and three longer (1.92 Å) Al–O bond length. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SiO4 tetrahedra. There is three shorter (1.91 Å) and three longer (1.92 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six SiO4 tetrahedra. There is four shorter (1.91 Å) and two longer (1.92 Å) Al–O bond length. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedral tilt angles are 47°. All Si–O bond lengths are 1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedral tilt angles are 47°. All Si–O bond lengths are 1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedral tilt angles are 47°. All Si–O bond lengths are 1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedral tilt angles are 47°. All Si–O bond lengths are 1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedral tilt angles are 47°. All Si–O bond lengths are 1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedral tilt angles are 47°. All Si–O bond lengths are 1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. All Si–O bond lengths are 1.66 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedral tilt angles are 47°. All Si–O bond lengths are 1.66 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Mn2+, one Fe2+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Fe2+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Mn2+, one Fe2+, one Al3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Mn2+, one Fe2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Mn2+, one Fe2+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Mn2+, one Fe2+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Mn2+, one Fe2+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Mn2+, one Fe2+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Mn2+, one Fe2+, one Al3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Fe2+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Mn2+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn2Fe4SiGe by Materials Project

Mn2Fe4GeSi is Tungsten-derived structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. Mn is bonded in a distorted body-centered cubic geometry to eight Fe, three equivalent Ge, and three equivalent Si atoms. There are a spread of Mn–Fe bond distances ranging from 2.40–2.51 Å. All Mn–Ge bond lengths are 2.83 Å. All Mn–Si bond lengths are 2.83 Å. There are five inequivalent Fe sites. In the first Fe site, Fe is bonded in a distorted body-centered cubic geometry to four equivalent Mn, one Ge, and three equivalent Si atoms. The Fe–Ge bond length is 2.50 Å. All Fe–Si bond lengths are 2.43 Å. In the second Fe site, Fe is bonded in a body-centered cubic geometry to four equivalent Mn, three equivalent Ge, and one Si atom. All Fe–Ge bond lengths are 2.47 Å. The Fe–Si bond length is 2.39 Å. In the third Fe site, Fe is bonded in a distorted body-centered cubic geometry to four equivalent Mn, one Ge, and three equivalent Si atoms. There are one shorter (2.40 Å) and three longer (2.46 Å) Fe–Mn bond lengths. The Fe–Ge bond length is 2.50 Å. All Fe–Si bond lengths are 2.43 Å. In the fourth Fe site, Fe is bonded in a distorted body-centered cubic geometry to four equivalent Mn, one Ge, and three equivalent Si atoms. There are one shorter (2.40 Å) and three longer (2.46 Å) Fe–Mn bond lengths. The Fe–Ge bond length is 2.50 Å. All Fe–Si bond lengths are 2.43 Å. In the fifth Fe site, Fe is bonded in a distorted body-centered cubic geometry to four equivalent Mn, one Ge, and three equivalent Si atoms. The Fe–Ge bond length is 2.50 Å. All Fe–Si bond lengths are 2.43 Å. Ge is bonded in a distorted body-centered cubic geometry to six equivalent Mn and eight Fe atoms. Si is bonded in a distorted body-centered cubic geometry to six equivalent Mn and eight Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on La9Lu11(GaO4)12 by Materials Project

Lu11La9(GaO4)12 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are six inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with six GaO4 tetrahedra. There are a spread of Lu–O bond distances ranging from 2.19–2.22 Å. In the second Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with six GaO4 tetrahedra. There are a spread of Lu–O bond distances ranging from 2.19–2.21 Å. In the third Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with six GaO4 tetrahedra. There are a spread of Lu–O bond distances ranging from 2.19–2.21 Å. In the fourth Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with six GaO4 tetrahedra. There are a spread of Lu–O bond distances ranging from 2.19–2.22 Å. In the fifth Lu3+ site, Lu3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Lu–O bond distances ranging from 2.35–2.55 Å. In the sixth Lu3+ site, Lu3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Lu–O bond distances ranging from 2.37–2.55 Å. There are six inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.49–2.63 Å. In the second La3+ site, La3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.49–2.62 Å. In the third La3+ site, La3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.49–2.61 Å. In the fourth La3+ site, La3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.49–2.62 Å. In the fifth La3+ site, La3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.49–2.61 Å. In the sixth La3+ site, La3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.49–2.60 Å. There are eight inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four LuO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There is three shorter (1.89 Å) and one longer (1.90 Å) Ga–O bond length. In the second Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four LuO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There is two shorter (1.88 Å) and two longer (1.89 Å) Ga–O bond length. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four LuO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. All Ga–O bond lengths are 1.88 Å. In the fourth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four LuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. All Ga–O bond lengths are 1.89 Å. In the fifth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four LuO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There is one shorter (1.88 Å) and three longer (1.89 Å) Ga–O bond length. In the sixth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four LuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. All Ga–O bond lengths are 1.89 Å. In the seventh Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four LuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There is two shorter (1.89 Å) and two longer (1.90 Å) Ga–O bond length. In the eighth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with four LuO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There is one shorter (1.88 Å) and three longer (1.89 Å) Ga–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+, one La3+, and one Ga3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ga3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+, one La3+, and one Ga3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+, one La3+, and one Ga3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+, one La3+, and one Ga3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+, one La3+, and one Ga3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+, one La3+, and one Ga3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+, one La3+, and one Ga3+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+, one La3+, and one Ga3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ga3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Lu3+, two La3+, and one Ga3+ atom.

36 MATERIALS SCIENCE↗