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Materials Data on Rb8U9O31 by Materials Project

Rb8U9O31 crystallizes in the orthorhombic Pbcn space group. The structure is three-dimensional. there are four inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded to six O2- atoms to form distorted RbO6 octahedra that share corners with three equivalent UO6 octahedra, corners with three UO7 pentagonal bipyramids, and edges with six RbO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Rb–O bond distances ranging from 2.77–2.92 Å. In the second Rb1+ site, Rb1+ is bonded to six O2- atoms to form RbO6 octahedra that share corners with three UO6 octahedra, corners with three UO7 pentagonal bipyramids, and edges with five RbO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Rb–O bond distances ranging from 2.77–3.07 Å. In the third Rb1+ site, Rb1+ is bonded to six O2- atoms to form distorted RbO6 octahedra that share corners with four UO6 octahedra, corners with two equivalent UO7 pentagonal bipyramids, and edges with three RbO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Rb–O bond distances ranging from 2.78–3.03 Å. In the fourth Rb1+ site, Rb1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Rb–O bond distances ranging from 2.84–3.14 Å. There are five inequivalent U6+ sites. In the first U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with three RbO6 octahedra, corners with three UO6 octahedra, a cornercorner with one UO7 pentagonal bipyramid, an edgeedge with one UO6 octahedra, and an edgeedge with one UO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 36–64°. There are a spread of U–O bond distances ranging from 1.87–2.31 Å. In the second U6+ site, U6+ is bonded to seven O2- atoms to form distorted UO7 pentagonal bipyramids that share corners with two equivalent UO6 octahedra, corners with six RbO6 octahedra, edges with two equivalent UO6 octahedra, and edges with two equivalent UO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 36–57°. There are a spread of U–O bond distances ranging from 1.86–2.60 Å. In the third U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share a cornercorner with one RbO6 octahedra, corners with four UO6 octahedra, an edgeedge with one UO6 octahedra, and an edgeedge with one UO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of U–O bond distances ranging from 1.85–2.31 Å. In the fourth U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with two UO6 octahedra, corners with six RbO6 octahedra, corners with two UO7 pentagonal bipyramids, and edges with two UO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of U–O bond distances ranging from 1.89–2.26 Å. In the fifth U6+ site, U6+ is bonded to seven O2- atoms to form distorted UO7 pentagonal bipyramids that share corners with two UO6 octahedra, corners with five RbO6 octahedra, edges with three UO6 octahedra, and an edgeedge with one UO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 32–58°. There are a spread of U–O bond distances ranging from 1.85–2.56 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to two Rb1+ and one U6+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three U6+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three U6+ atoms. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to three Rb1+ and one U6+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Rb1+ and one U6+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to three Rb1+ and one U6+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three U6+ atoms. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Rb1+ and one U6+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three U6+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to three U6+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Rb1+ and one U6+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to three Rb1+ and one U6+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to three U6+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Rb1+ and one U6+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three U6+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Rb1+ and one U6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sn14Sb11Pt8 by Materials Project

Pt8Sn14Sb11 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Pt2- sites. In the first Pt2- site, Pt2- is bonded to two Sn+3.43+ and four Sb+2.91- atoms to form PtSn2Sb4 octahedra that share corners with six PtSn3Sb3 octahedra and corners with two SnSb2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 55–57°. Both Pt–Sn bond lengths are 2.71 Å. There are a spread of Pt–Sb bond distances ranging from 2.69–2.72 Å. In the second Pt2- site, Pt2- is bonded to four Sn+3.43+ and two Sb+2.91- atoms to form PtSn4Sb2 octahedra that share corners with six PtSn4Sb3 octahedra and corners with three SbSn2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Pt–Sn bond distances ranging from 2.69–2.73 Å. Both Pt–Sb bond lengths are 2.70 Å. In the third Pt2- site, Pt2- is bonded to three Sn+3.43+ and three Sb+2.91- atoms to form PtSn3Sb3 octahedra that share corners with six PtSn2Sb4 octahedra and corners with two SbSn2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are two shorter (2.70 Å) and one longer (2.71 Å) Pt–Sn bond lengths. There are a spread of Pt–Sb bond distances ranging from 2.69–2.71 Å. In the fourth Pt2- site, Pt2- is bonded to three Sn+3.43+ and three Sb+2.91- atoms to form PtSn3Sb3 octahedra that share corners with six PtSn2Sb4 octahedra, a cornercorner with one SbSn2Pt2 tetrahedra, and corners with two SnSb2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Pt–Sn bond distances ranging from 2.68–2.71 Å. There are two shorter (2.70 Å) and one longer (2.71 Å) Pt–Sb bond lengths. In the fifth Pt2- site, Pt2- is bonded to three Sn+3.43+ and three Sb+2.91- atoms to form PtSn3Sb3 octahedra that share corners with six PtSn4Sb3 octahedra, a cornercorner with one SbSn2Pt2 tetrahedra, and corners with two SnSb2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are two shorter (2.70 Å) and one longer (2.71 Å) Pt–Sn bond lengths. There are one shorter (2.69 Å) and two longer (2.70 Å) Pt–Sb bond lengths. In the sixth Pt2- site, Pt2- is bonded to four Sn+3.43+ and two Sb+2.91- atoms to form PtSn4Sb2 octahedra that share corners with six PtSn4Sb3 octahedra and corners with two SbSn2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Pt–Sn bond distances ranging from 2.67–2.72 Å. There are one shorter (2.69 Å) and one longer (2.70 Å) Pt–Sb bond lengths. In the seventh Pt2- site, Pt2- is bonded to four Sn+3.43+ and two Sb+2.91- atoms to form PtSn4Sb2 octahedra that share corners with six PtSn2Sb4 octahedra and corners with three SbSn2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are one shorter (2.69 Å) and three longer (2.70 Å) Pt–Sn bond lengths. There are one shorter (2.67 Å) and one longer (2.68 Å) Pt–Sb bond lengths. In the eighth Pt2- site, Pt2- is bonded to four Sn+3.43+ and three Sb+2.91- atoms to form distorted PtSn4Sb3 octahedra that share corners with six PtSn4Sb2 octahedra and corners with two SnSb2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Pt–Sn bond distances ranging from 2.72–3.29 Å. There are a spread of Pt–Sb bond distances ranging from 2.70–2.72 Å. There are fourteen inequivalent Sn+3.43+ sites. In the first Sn+3.43+ site, Sn+3.43+ is bonded in a trigonal non-coplanar geometry to two Pt2- and one Sb+2.91- atom. The Sn–Sb bond length is 2.99 Å. In the second Sn+3.43+ site, Sn+3.43+ is bonded in a distorted trigonal non-coplanar geometry to two Pt2- and one Sb+2.91- atom. The Sn–Sb bond length is 2.92 Å. In the third Sn+3.43+ site, Sn+3.43+ is bonded in a distorted trigonal non-coplanar geometry to two Pt2- and one Sb+2.91- atom. The Sn–Sb bond length is 2.97 Å. In the fourth Sn+3.43+ site, Sn+3.43+ is bonded to two Pt2- and two Sb+2.91- atoms to form distorted SnSb2Pt2 tetrahedra that share corners with four PtSn4Sb3 octahedra, a cornercorner with one SbSn2Pt2 tetrahedra, and an edgeedge with one SnSb2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–72°. There are one shorter (2.93 Å) and one longer (2.99 Å) Sn–Sb bond lengths. In the fifth Sn+3.43+ site, Sn+3.43+ is bonded to two Pt2- and two Sb+2.91- atoms to form distorted SnSb2Pt2 tetrahedra that share corners with four PtSn4Sb3 octahedra and an edgeedge with one SnSb2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–71°. There are one shorter (2.94 Å) and one longer (3.01 Å) Sn–Sb bond lengths. In the sixth Sn+3.43+ site, Sn+3.43+ is bonded in a distorted trigonal non-coplanar geometry to two Pt2- and one Sb+2.91- atom. The Sn–Sb bond length is 3.05 Å. In the seventh Sn+3.43+ site, Sn+3.43+ is bonded in a distorted trigonal non-coplanar geometry to two Pt2- and one Sb+2.91- atom. The Sn–Sb bond length is 2.93 Å. In the eighth Sn+3.43+ site, Sn+3.43+ is bonded in a distorted trigonal non-coplanar geometry to two Pt2- and one Sb+2.91- atom. The Sn–Sb bond length is 2.95 Å. In the ninth Sn+3.43+ site, Sn+3.43+ is bonded in a bent 120 degrees geometry to two Pt2- atoms. In the tenth Sn+3.43+ site, Sn+3.43+ is bonded in a distorted trigonal non-coplanar geometry to two Pt2- and one Sb+2.91- atom. The Sn–Sb bond length is 2.97 Å. In the eleventh Sn+3.43+ site, Sn+3.43+ is bonded in an L-shaped geometry to one Pt2- and one Sb+2.91- atom. The Sn–Sb bond length is 3.47 Å. In the twelfth Sn+3.43+ site, Sn+3.43+ is bonded in a trigonal non-coplanar geometry to two Pt2- and one Sb+2.91- atom. The Sn–Sb bond length is 2.98 Å. In the thirteenth Sn+3.43+ site, Sn+3.43+ is bonded in a trigonal non-coplanar geometry to two Pt2- and one Sb+2.91- atom. The Sn–Sb bond length is 2.99 Å. In the fourteenth Sn+3.43+ site, Sn+3.43+ is bonded in a distorted trigonal non-coplanar geometry to two Pt2- and one Sb+2.91- atom. The Sn–Sb bond length is 3.01 Å. There are eleven inequivalent Sb+2.91- sites. In the first Sb+2.91- site, Sb+2.91- is bonded in a 4-coordinate geometry to two Pt2-, one Sn+3.43+, and one Sb+2.91- atom. The Sb–Sb bond length is 2.96 Å. In the second Sb+2.91- site, Sb+2.91- is bonded in a 4-coordinate geometry to two Pt2-, one Sn+3.43+, and one Sb+2.91- atom. The Sb–Sb bond length is 2.93 Å. In the third Sb+2.91- site, Sb+2.91- is bonded in a 4-coordinate geometry to two Pt2-, one Sn+3.43+, and one Sb+2.91- atom. The Sb–Sb bond length is 2.98 Å. In the fourth Sb+2.91- site, Sb+2.91- is bonded in a 2-coordinate geometry to two Pt2-, two Sn+3.43+, and one Sb+2.91- atom. The Sb–Sb bond length is 2.99 Å. In the fifth Sb+2.91- site, Sb+2.91- is bonded in a 4-coordinate geometry to two Pt2-, one Sn+3.43+, and one Sb+2.91- atom. In the sixth Sb+2.91- site, Sb+2.91- is bonded to two Pt2- and two Sn+3.43+ atoms to form distorted SbSn2Pt2 tetrahedra that share corners with four PtSn4Sb2 octahedra and an edgeedge with one SbSn2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 70–72°. In the seventh Sb+2.91- site, Sb+2.91- is bonded to two Pt2- and two Sn+3.43+ atoms to form distorted SbSn2Pt2 tetrahedra that share corners with four PtSn4Sb2 octahedra, a cornercorner with one SbSn2Pt2 tetrahedra, and an edgeedge with one SbSn2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 68–73°. In the eighth Sb+2.91- site, Sb+2.91- is bonded in a 4-coordinate geometry to two Pt2-, one Sn+3.43+, and one Sb+2.91- atom. In the ninth Sb+2.91- site, Sb+2.91- is bonded in a 4-coordinate geometry to two Pt2-, one Sn+3.43+, and one Sb+2.91- atom. In the tenth Sb+2.91- site, Sb+2.91- is bonded to two Pt2- and two Sn+3.43+ atoms to form distorted SbSn2Pt2 tetrahedra that share corners with four PtSn4Sb2 octahedra, a cornercorner with one SnSb2Pt2 tetrahedra, and a cornercorner with one SbSn2Pt2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–71°. In the eleventh Sb+2.91- site, Sb+2.91- is bonded in a 4-coordinate geometry to two Pt2-, one Sn+3.43+, and one Sb+2.91- atom.

36 MATERIALS SCIENCE↗

Materials Data on Tb8O13 by Materials Project

Tb8O13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Tb+3.25+ sites. In the first Tb+3.25+ site, Tb+3.25+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.24–2.41 Å. In the second Tb+3.25+ site, Tb+3.25+ is bonded to six O2- atoms to form distorted TbO6 pentagonal pyramids that share corners with two TbO6 octahedra, a cornercorner with one TbO7 pentagonal bipyramid, an edgeedge with one TbO6 octahedra, and edges with three TbO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of Tb–O bond distances ranging from 2.21–2.41 Å. In the third Tb+3.25+ site, Tb+3.25+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TbO7 pentagonal bipyramids, edges with two TbO6 octahedra, edges with two TbO7 pentagonal bipyramids, and edges with two TbO6 pentagonal pyramids. There are a spread of Tb–O bond distances ranging from 2.23–2.54 Å. In the fourth Tb+3.25+ site, Tb+3.25+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TbO7 pentagonal bipyramids, edges with three TbO6 octahedra, edges with three TbO7 pentagonal bipyramids, and edges with two TbO6 pentagonal pyramids. There are a spread of Tb–O bond distances ranging from 2.29–2.55 Å. In the fifth Tb+3.25+ site, Tb+3.25+ is bonded to six O2- atoms to form distorted TbO6 octahedra that share corners with two TbO6 octahedra, corners with two TbO7 pentagonal bipyramids, corners with two TbO6 pentagonal pyramids, an edgeedge with one TbO6 octahedra, and edges with three TbO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Tb–O bond distances ranging from 2.23–2.39 Å. In the sixth Tb+3.25+ site, Tb+3.25+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.30–2.48 Å. In the seventh Tb+3.25+ site, Tb+3.25+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TbO6 octahedra, a cornercorner with one TbO7 pentagonal bipyramid, an edgeedge with one TbO6 octahedra, edges with three TbO7 pentagonal bipyramids, and an edgeedge with one TbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of Tb–O bond distances ranging from 2.27–2.47 Å. In the eighth Tb+3.25+ site, Tb+3.25+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TbO6 pentagonal pyramids, edges with two TbO6 octahedra, and edges with four TbO7 pentagonal bipyramids. There are a spread of Tb–O bond distances ranging from 2.24–2.48 Å. In the ninth Tb+3.25+ site, Tb+3.25+ is bonded to six O2- atoms to form distorted TbO6 octahedra that share corners with two TbO6 octahedra, corners with two TbO6 pentagonal pyramids, and edges with four TbO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 60–66°. There are a spread of Tb–O bond distances ranging from 2.22–2.40 Å. In the tenth Tb+3.25+ site, Tb+3.25+ is bonded to six O2- atoms to form distorted TbO6 octahedra that share corners with two TbO6 octahedra, an edgeedge with one TbO6 octahedra, edges with four TbO7 pentagonal bipyramids, and an edgeedge with one TbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Tb–O bond distances ranging from 2.23–2.37 Å. In the eleventh Tb+3.25+ site, Tb+3.25+ is bonded to six O2- atoms to form distorted TbO6 pentagonal pyramids that share corners with two TbO6 octahedra, a cornercorner with one TbO7 pentagonal bipyramid, edges with two TbO6 octahedra, and edges with four TbO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Tb–O bond distances ranging from 2.24–2.43 Å. In the twelfth Tb+3.25+ site, Tb+3.25+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.20–2.50 Å. In the thirteenth Tb+3.25+ site, Tb+3.25+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.22–2.60 Å. In the fourteenth Tb+3.25+ site, Tb+3.25+ is bonded to six O2- atoms to form distorted TbO6 octahedra that share corners with two TbO6 octahedra, corners with two TbO7 pentagonal bipyramids, edges with two TbO7 pentagonal bipyramids, and edges with two TbO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Tb–O bond distances ranging from 2.26–2.36 Å. In the fifteenth Tb+3.25+ site, Tb+3.25+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TbO7 pentagonal bipyramids, edges with three TbO6 octahedra, edges with two TbO7 pentagonal bipyramids, and an edgeedge with one TbO6 pentagonal pyramid. There are a spread of Tb–O bond distances ranging from 2.27–2.47 Å. In the sixteenth Tb+3.25+ site, Tb+3.25+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with two TbO6 octahedra, a cornercorner with one TbO7 pentagonal bipyramid, edges with two TbO6 octahedra, edges with four TbO7 pentagonal bipyramids, and an edgeedge with one TbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 47–65°. There are a spread of Tb–O bond distances ranging from 2.24–2.49 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the second O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the third O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the fourth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the fifth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the seventh O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the eighth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the tenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the twenty-third O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Tb+3.25+ atoms to form a mixture of distorted edge and corner-sharing OTb4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Cr3GaS6 by Materials Project

Cr3GaS6 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-seven inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share a cornercorner with one GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.33–2.48 Å. In the second Cr3+ site, Cr3+ is bonded to six S2- atoms to form edge-sharing CrS6 octahedra. There are three shorter (2.37 Å) and three longer (2.43 Å) Cr–S bond lengths. In the third Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.49 Å. In the fourth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share a cornercorner with one GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.33–2.48 Å. In the fifth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.28 Å) and three longer (2.54 Å) Cr–S bond lengths. In the sixth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with five GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.35–2.45 Å. In the seventh Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.49 Å. In the eighth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.30 Å) and three longer (2.50 Å) Cr–S bond lengths. In the ninth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.39 Å) and three longer (2.40 Å) Cr–S bond lengths. In the tenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with five GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.35–2.45 Å. In the eleventh Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. All Cr–S bond lengths are 2.39 Å. In the twelfth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are five shorter (2.39 Å) and one longer (2.40 Å) Cr–S bond lengths. In the thirteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.39 Å) and three longer (2.40 Å) Cr–S bond lengths. In the fourteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. All Cr–S bond lengths are 2.39 Å. In the fifteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.39 Å) and three longer (2.40 Å) Cr–S bond lengths. In the sixteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are five shorter (2.39 Å) and one longer (2.40 Å) Cr–S bond lengths. In the seventeenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. All Cr–S bond lengths are 2.40 Å. In the eighteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with four GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.47 Å. In the nineteenth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.39 Å) and three longer (2.40 Å) Cr–S bond lengths. In the twentieth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with six GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.38 Å) and three longer (2.41 Å) Cr–S bond lengths. In the twenty-first Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.31–2.51 Å. In the twenty-second Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with four GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.47 Å. In the twenty-third Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.35–2.45 Å. In the twenty-fourth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with two equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.31–2.50 Å. In the twenty-fifth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three GaS4 tetrahedra and edges with six CrS6 octahedra. There are three shorter (2.34 Å) and three longer (2.49 Å) Cr–S bond lengths. In the twenty-sixth Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.32–2.50 Å. In the twenty-seventh Cr3+ site, Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with two equivalent GaS4 tetrahedra and edges with six CrS6 octahedra. There are a spread of Cr–S bond distances ranging from 2.31–2.50 Å. There are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Ga–S bond distances ranging from 2.32–2.34 Å. In the second Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are one shorter (2.29 Å) and three longer (2.34 Å) Ga–S bond lengths. In the third Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are three shorter (2.33 Å) and one longer (2.34 Å) Ga–S bond lengths. In the fourth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Ga–S bond distances ranging from 2.31–2.34 Å. In the fifth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. All Ga–S bond lengths are 2.33 Å. In the sixth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. All Ga–S bond lengths are 2.33 Å. In the seventh Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are three shorter (2.33 Å) and one longer (2.34 Å) Ga–S bond lengths. In the eighth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are one shorter (2.30 Å) and three longer (2.34 Å) Ga–S bond lengths. In the ninth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedral tilt angles are 58°. All Ga–S bond lengths are 2.33 Å. In the tenth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are three shorter (2.31 Å) and one longer (2.36 Å) Ga–S bond lengths. In the eleventh Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Ga–S bond distances ranging from 2.31–2.36 Å. In the twelfth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve CrS6 octahedra. The corner-sharing octahedra tilt angles range from 60–61°. There are three shorter (2.33 Å) and one longer (2.34 Å) Ga–S bond lengths. There are fifty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the second S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form distorted corner-sharing SCr3Ga trigonal pyramids. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the fourth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga tetrahedra. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the seventh S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga tetrahedra. In the eighth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga tetrahedra. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the tenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the eleventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the twelfth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the thirteenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the fourteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the fifteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the sixteenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the seventeenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the eighteenth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the nineteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr3+ atoms. In the twentieth S2- site, S2- is bonded to three Cr3+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SCr3Ga trigonal pyramids. In the twenty-first S2- site,

36 MATERIALS SCIENCE↗

Materials Data on Tl3(V3S4)8 by Materials Project

Tl3(V3S4)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent V+2.54+ sites. In the first V+2.54+ site, V+2.54+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.29–2.37 Å. In the second V+2.54+ site, V+2.54+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.20–2.38 Å. In the third V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with two VS6 octahedra, corners with three VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, and faces with two VS6 octahedra. The corner-sharing octahedra tilt angles range from 35–36°. There are a spread of V–S bond distances ranging from 2.36–2.61 Å. In the fourth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form VS5 trigonal bipyramids that share corners with four VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of V–S bond distances ranging from 2.27–2.48 Å. In the fifth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with three VS6 octahedra, corners with three VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 36–58°. There are a spread of V–S bond distances ranging from 2.37–2.64 Å. In the sixth V+2.54+ site, V+2.54+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of V–S bond distances ranging from 2.26–2.96 Å. In the seventh V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with two VS6 octahedra, corners with four VS5 trigonal bipyramids, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–36°. There are a spread of V–S bond distances ranging from 2.37–2.58 Å. In the eighth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form distorted VS5 trigonal bipyramids that share corners with five VS6 octahedra, corners with three VS5 trigonal bipyramids, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 36–57°. There are a spread of V–S bond distances ranging from 2.26–2.43 Å. In the ninth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form distorted VS5 trigonal bipyramids that share a cornercorner with one VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, edges with two VS5 trigonal bipyramids, and a faceface with one VS6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of V–S bond distances ranging from 2.29–2.49 Å. In the tenth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form distorted VS5 trigonal bipyramids that share corners with three VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of V–S bond distances ranging from 2.31–2.41 Å. In the eleventh V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form distorted VS5 trigonal bipyramids that share corners with three VS6 octahedra, a cornercorner with one VS5 trigonal bipyramid, edges with two VS6 octahedra, and an edgeedge with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 2–39°. There are a spread of V–S bond distances ranging from 2.31–2.57 Å. In the twelfth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form distorted VS5 trigonal bipyramids that share a cornercorner with one VS6 octahedra, corners with four VS5 trigonal bipyramids, edges with two VS6 octahedra, and an edgeedge with one VS5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 31°. There are a spread of V–S bond distances ranging from 2.25–2.49 Å. In the thirteenth V+2.54+ site, V+2.54+ is bonded in a distorted see-saw-like geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.24–2.47 Å. In the fourteenth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with two VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, edges with two VS5 trigonal bipyramids, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 17–25°. There are a spread of V–S bond distances ranging from 2.44–2.67 Å. In the fifteenth V+2.54+ site, V+2.54+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.33–2.43 Å. In the sixteenth V+2.54+ site, V+2.54+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of V–S bond distances ranging from 2.31–2.49 Å. In the seventeenth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form a mixture of face and corner-sharing VS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of V–S bond distances ranging from 2.30–2.45 Å. In the eighteenth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with four VS6 octahedra, a cornercorner with one VS5 trigonal bipyramid, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 25–59°. There are a spread of V–S bond distances ranging from 2.27–2.81 Å. In the nineteenth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with four VS6 octahedra, corners with two VS5 trigonal bipyramids, and faces with two VS6 octahedra. The corner-sharing octahedra tilt angles range from 40–59°. There are a spread of V–S bond distances ranging from 2.36–3.05 Å. In the twentieth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with five VS6 octahedra, a cornercorner with one VS5 trigonal bipyramid, edges with two VS5 trigonal bipyramids, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 17–57°. There are a spread of V–S bond distances ranging from 2.34–2.57 Å. In the twenty-first V+2.54+ site, V+2.54+ is bonded in a distorted see-saw-like geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.36–2.66 Å. In the twenty-second V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with four VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 35–45°. There are a spread of V–S bond distances ranging from 2.37–2.90 Å. In the twenty-third V+2.54+ site, V+2.54+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.27–2.50 Å. In the twenty-fourth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with two VS6 octahedra, corners with three VS5 trigonal bipyramids, and faces with three VS6 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of V–S bond distances ranging from 2.35–2.59 Å. There are three inequivalent Tl1+ sites. In the first Tl1+ site, Tl1+ is bonded in a 2-coordinate geometry to four S2- atoms. There are a spread of Tl–S bond distances ranging from 2.79–3.23 Å. In the second Tl1+ site, Tl1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Tl–S bond distances ranging from 2.97–3.37 Å. In the third Tl1+ site, Tl1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Tl–S bond distances ranging from 2.88–3.26 Å. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted pentagonal planar geometry to five V+2.54+ atoms. In the second S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the third S2- site, S2- is bonded in a distorted trigonal pyramidal geometry to four V+2.54+ atoms. In the fourth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the fifth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the sixth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the seventh S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the eighth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the ninth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the tenth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the eleventh S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the twelfth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the thirteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four V+2.54+ atoms. In the fourteenth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the fifteenth S2- site, S2- is bonded in a 5-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the sixteenth S2- site, S2- is bonded in a 4-coordinate geometry to five V+2.54+ and one Tl1+ atom. In the seventeenth S2- site, S2- is bonded in a 5-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the eighteenth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the nineteenth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the twentieth S2- site, S2- is bonded in a 3-coordinate geometry to three V+2.54+ atoms. In the twenty-first S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the twenty-second S2- site, S2- is bonded in a 2-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the twenty-third S2- site, S2- is bonded in a 5-coordinate geometry to five V+2.54+ atoms. In the twenty-fourth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the twenty-fifth S2- site, S2- is bonded in a distorted trigonal pyramidal geometry to four V+2.54+ atoms. In the twenty-sixth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the twenty-seventh S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the twenty-eighth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the twenty-ninth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the thirtieth S2- site, S2- is bonded in a 5-coordinate geometry to five V+2.54+ atoms. In the thirty-first S2- site, S2- is bonded in a 2-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the thirty-second S2- site, S2- is bonded in a distorted pentagonal planar geometry to five V+2.54+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na3SmBr6 by Materials Project

Na3SmBr6 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fifteen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three SmBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Na–Br bond distances ranging from 2.97–3.15 Å. In the second Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with three NaBr6 octahedra, corners with six SmBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 41–62°. There are a spread of Na–Br bond distances ranging from 2.98–3.08 Å. In the third Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three SmBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 50–62°. There are a spread of Na–Br bond distances ranging from 2.97–3.15 Å. In the fourth Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with three NaBr6 octahedra, corners with six SmBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 41–62°. There are a spread of Na–Br bond distances ranging from 2.97–3.07 Å. In the fifth Na1+ site, Na1+ is bonded to six Br1- atoms to form distorted NaBr6 octahedra that share corners with three SmBr6 octahedra, corners with six NaBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one SmBr6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Na–Br bond distances ranging from 3.00–3.14 Å. In the sixth Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three SmBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 50–62°. There are a spread of Na–Br bond distances ranging from 2.97–3.15 Å. In the seventh Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with three NaBr6 octahedra, corners with six SmBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 41–62°. There are a spread of Na–Br bond distances ranging from 2.97–3.07 Å. In the eighth Na1+ site, Na1+ is bonded to six Br1- atoms to form distorted NaBr6 octahedra that share corners with three SmBr6 octahedra, corners with six NaBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one SmBr6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Na–Br bond distances ranging from 3.00–3.14 Å. In the ninth Na1+ site, Na1+ is bonded to six Br1- atoms to form distorted NaBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three SmBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 50–62°. There are a spread of Na–Br bond distances ranging from 2.96–3.25 Å. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six Br1- atoms. There are a spread of Na–Br bond distances ranging from 2.89–3.33 Å. In the eleventh Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share corners with two equivalent NaBr6 octahedra, corners with six SmBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 40–62°. There are a spread of Na–Br bond distances ranging from 2.96–3.11 Å. In the twelfth Na1+ site, Na1+ is bonded to six Br1- atoms to form distorted NaBr6 octahedra that share corners with three SmBr6 octahedra, corners with six NaBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one SmBr6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Na–Br bond distances ranging from 3.00–3.15 Å. In the thirteenth Na1+ site, Na1+ is bonded to six Br1- atoms to form NaBr6 octahedra that share a cornercorner with one NaBr6 octahedra, corners with six SmBr6 octahedra, and edges with three NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 38–63°. There are a spread of Na–Br bond distances ranging from 2.92–3.08 Å. In the fourteenth Na1+ site, Na1+ is bonded to six Br1- atoms to form distorted NaBr6 octahedra that share corners with three equivalent NaBr6 octahedra, corners with three SmBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one SmBr6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Na–Br bond distances ranging from 2.95–3.13 Å. In the fifteenth Na1+ site, Na1+ is bonded to six Br1- atoms to form distorted NaBr6 octahedra that share corners with three equivalent NaBr6 octahedra, corners with three SmBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one SmBr6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Na–Br bond distances ranging from 2.93–3.15 Å. There are five inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to six Br1- atoms to form SmBr6 octahedra that share corners with nine NaBr6 octahedra, edges with two equivalent NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of Sm–Br bond distances ranging from 2.82–2.92 Å. In the second Sm3+ site, Sm3+ is bonded to six Br1- atoms to form SmBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of Sm–Br bond distances ranging from 2.86–2.90 Å. In the third Sm3+ site, Sm3+ is bonded to six Br1- atoms to form SmBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There are a spread of Sm–Br bond distances ranging from 2.86–2.90 Å. In the fourth Sm3+ site, Sm3+ is bonded to six Br1- atoms to form SmBr6 octahedra that share corners with nine NaBr6 octahedra, edges with three NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There are a spread of Sm–Br bond distances ranging from 2.86–2.90 Å. In the fifth Sm3+ site, Sm3+ is bonded to six Br1- atoms to form SmBr6 octahedra that share corners with nine NaBr6 octahedra, an edgeedge with one NaBr6 octahedra, and a faceface with one NaBr6 octahedra. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of Sm–Br bond distances ranging from 2.85–2.93 Å. There are thirty inequivalent Br1- sites. In the first Br1- site, Br1- is bonded in a distorted see-saw-like geometry to three Na1+ and one Sm3+ atom. In the second Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the third Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the fourth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the fifth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the sixth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the seventh Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form distorted corner-sharing BrNa3Sm trigonal pyramids. In the eighth Br1- site, Br1- is bonded in a distorted see-saw-like geometry to three Na1+ and one Sm3+ atom. In the ninth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the tenth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the eleventh Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the twelfth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the thirteenth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the fourteenth Br1- site, Br1- is bonded in a distorted see-saw-like geometry to three Na1+ and one Sm3+ atom. In the fifteenth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the sixteenth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the seventeenth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form distorted BrNa3Sm trigonal pyramids that share a cornercorner with one BrNa4Sm trigonal bipyramid, corners with four BrNa3Sm trigonal pyramids, and edges with two BrNa3Sm trigonal pyramids. In the eighteenth Br1- site, Br1- is bonded to four Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa4Sm trigonal bipyramids. In the nineteenth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form a mixture of distorted edge and corner-sharing BrNa3Sm trigonal pyramids. In the twentieth Br1- site, Br1- is bonded in a distorted see-saw-like geometry to three Na1+ and one Sm3+ atom. In the twenty-first Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the twenty-second Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form distorted BrNa3Sm trigonal pyramids that share corners with three BrNa3Sm trigonal pyramids, edges with two equivalent BrNa4Sm trigonal bipyramids, and an edgeedge with one BrNa3Sm trigonal pyramid. In the twenty-third Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the twenty-fourth Br1- site, Br1- is bonded in a distorted trigonal planar geometry to two Na1+ and one Sm3+ atom. In the twenty-fifth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form distorted BrNa3Sm trigonal pyramids that share corners with two equivalent BrNa4Sm trigonal bipyramids, corners with three BrNa3Sm trigonal pyramids, and edges with two BrNa3Sm trigonal pyramids. In the twenty-sixth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the twenty-seventh Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the twenty-eighth Br1- site, Br1- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Sm3+ atom. In the twenty-ninth Br1- site, Br1- is bonded in a distorted see-saw-like geometry to three Na1+ and one Sm3+ atom. In the thirtieth Br1- site, Br1- is bonded to three Na1+ and one Sm3+ atom to form BrNa3Sm trigonal pyramids that share a cornercorner with one BrNa4Sm trigonal bipyramid, an edgeedge with one BrNa4Sm trigonal bipyramid, and an edgeedge with one BrNa3Sm trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Ga2CuO4 by Materials Project

CuGa2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twelve inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Cu–O bond distances ranging from 1.97–2.02 Å. In the second Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Cu–O bond distances ranging from 1.96–2.02 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three CuO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.12 Å. In the fourth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent CuO4 tetrahedra, corners with four GaO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.12 Å. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six GaO4 tetrahedra, edges with two CuO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.12 Å. In the sixth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six GaO4 tetrahedra, edges with two CuO6 octahedra, and edges with four equivalent GaO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.06–2.11 Å. In the seventh Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six GaO4 tetrahedra, edges with two CuO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.11 Å. In the eighth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six GaO4 tetrahedra, edges with two CuO6 octahedra, and edges with four equivalent GaO6 octahedra. There are four shorter (2.07 Å) and two longer (2.11 Å) Cu–O bond lengths. In the ninth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six GaO4 tetrahedra, edges with two CuO6 octahedra, and edges with four GaO6 octahedra. There are four shorter (2.07 Å) and two longer (2.11 Å) Cu–O bond lengths. In the tenth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six GaO4 tetrahedra, edges with two CuO6 octahedra, and edges with four equivalent GaO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.11 Å. In the eleventh Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six GaO4 tetrahedra, edges with two CuO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.07–2.12 Å. In the twelfth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share a cornercorner with one CuO4 tetrahedra, corners with five GaO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.01–2.12 Å. There are eighteen inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Ga–O bond distances ranging from 1.89–1.95 Å. In the second Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three CuO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Ga–O bond distances ranging from 1.89–1.94 Å. In the third Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three CuO4 tetrahedra, corners with three GaO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.98–2.06 Å. In the fourth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two CuO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.98–2.07 Å. In the fifth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CuO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Ga–O bond distances ranging from 1.88–1.93 Å. In the sixth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two equivalent CuO4 tetrahedra, corners with four GaO4 tetrahedra, edges with three CuO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.98–2.05 Å. In the seventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two CuO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.08 Å. In the eighth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CuO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Ga–O bond distances ranging from 1.87–1.91 Å. In the ninth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CuO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There is two shorter (1.89 Å) and two longer (1.91 Å) Ga–O bond length. In the tenth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra, edges with two equivalent GaO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.99–2.03 Å. In the eleventh Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CuO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There is two shorter (1.89 Å) and two longer (1.91 Å) Ga–O bond length. In the twelfth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CuO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There is two shorter (1.88 Å) and two longer (1.91 Å) Ga–O bond length. In the thirteenth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra, edges with two equivalent GaO6 octahedra, and edges with four CuO6 octahedra. There are two shorter (2.00 Å) and four longer (2.03 Å) Ga–O bond lengths. In the fourteenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CuO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There is two shorter (1.89 Å) and two longer (1.91 Å) Ga–O bond length. In the fifteenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CuO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Ga–O bond distances ranging from 1.88–1.93 Å. In the sixteenth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra, edges with two equivalent GaO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Ga–O bond distances ranging from 2.00–2.03 Å. In the seventeenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CuO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Ga–O bond distances ranging from 1.87–1.90 Å. In the eighteenth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share a cornercorner with one CuO4 tetrahedra, corners with five GaO4 tetrahedra, edges with three CuO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.95–2.07 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Cu2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa3Cu trigonal pyramids. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu2+ and two Ga3+ atoms. In the third O2- site, O2- is bonded to two Cu2+ and two equivalent Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa2Cu2 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Cu2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa3Cu trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the seventh O2- site, O2- is bonded to two Cu2+ and two Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa2Cu2 trigonal pyramids. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the ninth O2- site, O2- is bonded to four Ga3+ atoms to form distorted corner-sharing OGa4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu2+ and two Ga3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu2+ and two Ga3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu2+ and two Ga3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu2+ and two Ga3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu2+ and two Ga3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Cu2+ and three Ga3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a rectangular s

36 MATERIALS SCIENCE↗

Materials Data on Ti24Ga5S48 by Materials Project

Ti24Ga5S48 crystallizes in the orthorhombic Pmn2_1 space group. The structure is three-dimensional. there are eighteen inequivalent Ti+3.38+ sites. In the first Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with two GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.38–2.54 Å. In the second Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with two equivalent GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.37–2.56 Å. In the third Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with two equivalent GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.37–2.56 Å. In the fourth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.35–2.56 Å. In the fifth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share a cornercorner with one GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.43–2.52 Å. In the sixth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with two equivalent GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.38–2.56 Å. In the seventh Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with two GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.38–2.56 Å. In the eighth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.35–2.58 Å. In the ninth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share a cornercorner with one GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.42–2.52 Å. In the tenth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.38–2.58 Å. In the eleventh Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three GaS4 tetrahedra and edges with six TiS6 octahedra. There are three shorter (2.38 Å) and three longer (2.57 Å) Ti–S bond lengths. In the twelfth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.38–2.56 Å. In the thirteenth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three GaS4 tetrahedra and edges with six TiS6 octahedra. There are three shorter (2.38 Å) and three longer (2.57 Å) Ti–S bond lengths. In the fourteenth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three GaS4 tetrahedra and edges with six TiS6 octahedra. There are three shorter (2.38 Å) and three longer (2.57 Å) Ti–S bond lengths. In the fifteenth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three GaS4 tetrahedra and edges with six TiS6 octahedra. There are three shorter (2.38 Å) and three longer (2.57 Å) Ti–S bond lengths. In the sixteenth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.38–2.57 Å. In the seventeenth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent GaS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.38–2.57 Å. In the eighteenth Ti+3.38+ site, Ti+3.38+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three GaS4 tetrahedra and edges with six TiS6 octahedra. There are three shorter (2.38 Å) and three longer (2.57 Å) Ti–S bond lengths. There are five inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are three shorter (2.30 Å) and one longer (2.31 Å) Ga–S bond lengths. In the second Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are three shorter (2.30 Å) and one longer (2.31 Å) Ga–S bond lengths. In the third Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are three shorter (2.31 Å) and one longer (2.32 Å) Ga–S bond lengths. In the fourth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedra tilt angles range from 61–62°. All Ga–S bond lengths are 2.31 Å. In the fifth Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedral tilt angles are 61°. All Ga–S bond lengths are 2.31 Å. There are thirty-six inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.38+ atoms. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.38+ atoms. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.38+ atoms. In the fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.38+ atoms. In the fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.38+ and one Ga3+ atom. In the sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.38+ atoms. In the seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.38+ atoms. In the eighth S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga tetrahedra. In the ninth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.38+ atoms. In the tenth S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga tetrahedra. In the eleventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.38+ atoms. In the twelfth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.38+ atoms. In the thirteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.38+ atoms. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ti+3.38+ and one Ga3+ atom. In the fifteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.38+ atoms. In the sixteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ti+3.38+ atoms. In the seventeenth S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga trigonal pyramids. In the eighteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ti+3.38+ atoms. In the nineteenth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.38+ atoms. In the twentieth S2- site, S2- is bonded in a 3-coordinate geometry to three Ti+3.38+ atoms. In the twenty-first S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga trigonal pyramids. In the twenty-second S2- site, S2- is bonded in a 3-coordinate geometry to three Ti+3.38+ atoms. In the twenty-third S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga tetrahedra. In the twenty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Ti+3.38+ atoms. In the twenty-fifth S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga tetrahedra. In the twenty-sixth S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga tetrahedra. In the twenty-seventh S2- site, S2- is bonded in a 3-coordinate geometry to three Ti+3.38+ atoms. In the twenty-eighth S2- site, S2- is bonded in a 3-coordinate geometry to three Ti+3.38+ atoms. In the twenty-ninth S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga tetrahedra. In the thirtieth S2- site, S2- is bonded in a 3-coordinate geometry to three Ti+3.38+ atoms. In the thirty-first S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga tetrahedra. In the thirty-second S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga tetrahedra. In the thirty-third S2- site, S2- is bonded in a 3-coordinate geometry to three Ti+3.38+ atoms. In the thirty-fourth S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga tetrahedra. In the thirty-fifth S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga tetrahedra. In the thirty-sixth S2- site, S2- is bonded to three Ti+3.38+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing STi3Ga tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Fe2NiSe4 by Materials Project

Fe2NiSe4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six Se2- atoms to form FeSe6 octahedra that share corners with six equivalent NiSe6 octahedra, edges with six FeSe6 octahedra, and a faceface with one NiSe6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Fe–Se bond distances ranging from 2.36–2.61 Å. In the second Fe3+ site, Fe3+ is bonded to six Se2- atoms to form FeSe6 octahedra that share corners with six equivalent NiSe6 octahedra, edges with six FeSe6 octahedra, and a faceface with one NiSe6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Fe–Se bond distances ranging from 2.36–2.57 Å. Ni2+ is bonded to six Se2- atoms to form NiSe6 octahedra that share corners with twelve FeSe6 octahedra, edges with two equivalent NiSe6 octahedra, and faces with two FeSe6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Ni–Se bond distances ranging from 2.40–2.62 Å. There are four inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 4-coordinate geometry to three Fe3+ and one Ni2+ atom. In the second Se2- site, Se2- is bonded in a 4-coordinate geometry to three Fe3+ and one Ni2+ atom. In the third Se2- site, Se2- is bonded in a 5-coordinate geometry to three Fe3+ and two equivalent Ni2+ atoms. In the fourth Se2- site, Se2- is bonded in a 5-coordinate geometry to three Fe3+ and two equivalent Ni2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr5La5Cu(NiO5)4 by Materials Project

Sr5La5Cu(NiO5)4 is (La,Ba)CuO4-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–2.82 Å. In the second Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.47–2.83 Å. In the third Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–2.83 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.80 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.83 Å. There are five inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.79 Å. In the second La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.85 Å. In the third La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.75 Å. In the fourth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.76 Å. In the fifth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.73 Å. There are four inequivalent Ni+3.50+ sites. In the first Ni+3.50+ site, Ni+3.50+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one CuO6 octahedra and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Ni–O bond distances ranging from 1.92–2.13 Å. In the second Ni+3.50+ site, Ni+3.50+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one CuO6 octahedra and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Ni–O bond distances ranging from 1.89–2.11 Å. In the third Ni+3.50+ site, Ni+3.50+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one CuO6 octahedra and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Ni–O bond distances ranging from 1.92–2.13 Å. In the fourth Ni+3.50+ site, Ni+3.50+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one CuO6 octahedra and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Ni–O bond distances ranging from 1.90–2.01 Å. Cu1+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Cu–O bond distances ranging from 1.93–2.25 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to two Sr2+, two La3+, one Ni+3.50+, and one Cu1+ atom to form distorted OSr2La2CuNi octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 4–55°. In the second O2- site, O2- is bonded to two Sr2+, two La3+, and two Ni+3.50+ atoms to form distorted OSr2La2Ni2 octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2CuNi octahedra, and faces with eight OSr4LaNi octahedra. The corner-sharing octahedra tilt angles range from 3–55°. In the third O2- site, O2- is bonded to two Sr2+, three La3+, and one Ni+3.50+ atom to form distorted OSr2La3Ni octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–55°. In the fourth O2- site, O2- is bonded to two Sr2+, two La3+, and two Ni+3.50+ atoms to form distorted OSr2La2Ni2 octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 4–56°. In the fifth O2- site, O2- is bonded to three Sr2+, two La3+, and one Cu1+ atom to form distorted OSr3La2Cu octahedra that share corners with seventeen OSrLa4Cu octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 1–53°. In the sixth O2- site, O2- is bonded to two Sr2+, two La3+, one Ni+3.50+, and one Cu1+ atom to form distorted OSr2La2CuNi octahedra that share corners with fourteen OSr2La2CuNi octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSrLa4Cu octahedra. The corner-sharing octahedra tilt angles range from 6–56°. In the seventh O2- site, O2- is bonded to one Sr2+, four La3+, and one Ni+3.50+ atom to form distorted OSrLa4Ni octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–55°. In the eighth O2- site, O2- is bonded to two Sr2+, two La3+, and two Ni+3.50+ atoms to form distorted OSr2La2Ni2 octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2CuNi octahedra, and faces with eight OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 5–56°. In the ninth O2- site, O2- is bonded to three Sr2+, two La3+, and one Ni+3.50+ atom to form distorted OSr3La2Ni octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–55°. In the tenth O2- site, O2- is bonded to two Sr2+, two La3+, and two Ni+3.50+ atoms to form a mixture of distorted edge, corner, and face-sharing OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 3–57°. In the eleventh O2- site, O2- is bonded to two Sr2+, three La3+, and one Ni+3.50+ atom to form distorted OSr2La3Ni octahedra that share corners with seventeen OSrLa4Cu octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 0–55°. In the twelfth O2- site, O2- is bonded to two Sr2+, two La3+, and two Ni+3.50+ atoms to form distorted OSr2La2Ni2 octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 4–55°. In the thirteenth O2- site, O2- is bonded to four Sr2+, one La3+, and one Ni+3.50+ atom to form distorted OSr4LaNi octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSr4LaNi octahedra, and faces with four OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–54°. In the fourteenth O2- site, O2- is bonded to two Sr2+, two La3+, and two Ni+3.50+ atoms to form distorted OSr2La2Ni2 octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSr4LaNi octahedra. The corner-sharing octahedra tilt angles range from 3–55°. In the fifteenth O2- site, O2- is bonded to two Sr2+, three La3+, and one Ni+3.50+ atom to form distorted OSr2La3Ni octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–56°. In the sixteenth O2- site, O2- is bonded to two Sr2+, two La3+, one Ni+3.50+, and one Cu1+ atom to form distorted OSr2La2CuNi octahedra that share corners with fourteen OSr2La2CuNi octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 4–55°. In the seventeenth O2- site, O2- is bonded to three Sr2+, two La3+, and one Ni+3.50+ atom to form distorted OSr3La2Ni octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 0–55°. In the eighteenth O2- site, O2- is bonded to two Sr2+, two La3+, one Ni+3.50+, and one Cu1+ atom to form distorted OSr2La2CuNi octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSrLa4Cu octahedra. The corner-sharing octahedra tilt angles range from 3–56°. In the nineteenth O2- site, O2- is bonded to one Sr2+, four La3+, and one Cu1+ atom to form distorted OSrLa4Cu octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSr4LaNi octahedra, and faces with four OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 1–53°. In the twentieth O2- site, O2- is bonded to four Sr2+, one La3+, and one Ni+3.50+ atom to form distorted OSr4LaNi octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–57°.

36 MATERIALS SCIENCE↗

Materials Data on Ca3YAl3B4O15 by Materials Project

Ca3YAl3B4O15 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two equivalent CaO8 hexagonal bipyramids, corners with two equivalent AlO6 octahedra, and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ca–O bond distances ranging from 2.19–2.50 Å. In the second Ca2+ site, Ca2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.62 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two equivalent CaO8 hexagonal bipyramids, corners with two equivalent AlO6 octahedra, and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Ca–O bond distances ranging from 2.19–2.53 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two equivalent CaO8 hexagonal bipyramids, corners with two equivalent AlO6 octahedra, and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ca–O bond distances ranging from 2.17–2.51 Å. In the fifth Ca2+ site, Ca2+ is bonded to eight O2- atoms to form distorted CaO8 hexagonal bipyramids that share a cornercorner with one YO6 octahedra, corners with two AlO6 octahedra, corners with three CaO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 60–66°. There are a spread of Ca–O bond distances ranging from 2.44–2.64 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two equivalent AlO6 octahedra and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Ca–O bond distances ranging from 2.18–2.51 Å. In the seventh Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two equivalent AlO6 octahedra and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Ca–O bond distances ranging from 2.17–2.47 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.45–2.64 Å. In the ninth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.44–2.70 Å. There are three inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two equivalent CaO8 hexagonal bipyramids, corners with two equivalent AlO6 octahedra, and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Y–O bond distances ranging from 2.15–2.40 Å. In the second Y3+ site, Y3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Y–O bond distances ranging from 2.29–2.52 Å. In the third Y3+ site, Y3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Y–O bond distances ranging from 2.29–2.58 Å. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one YO6 octahedra, an edgeedge with one CaO8 hexagonal bipyramid, an edgeedge with one CaO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Al–O bond distances ranging from 1.84–2.10 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one CaO6 octahedra, an edgeedge with one CaO8 hexagonal bipyramid, an edgeedge with one CaO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Al–O bond distances ranging from 1.84–2.10 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one CaO8 hexagonal bipyramid, a cornercorner with one CaO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Al–O bond distances ranging from 1.82–2.08 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one CaO8 hexagonal bipyramid, a cornercorner with one CaO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Al–O bond distances ranging from 1.84–2.08 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one CaO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Al–O bond distances ranging from 1.84–2.09 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one CaO6 octahedra, an edgeedge with one YO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Al–O bond distances ranging from 1.82–2.17 Å. There are eleven inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.39 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 Å) and two longer (1.38 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.42 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.42 Å) B–O bond length. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the third O2- site, O2- is bonded to two Ca2+ and two equivalent Al3+ atoms to form distorted corner-sharing OCa2Al2 tetrahedra. In the fourth O2- site, O2- is bonded to one Ca2+, one Y3+, and two equivalent Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, two Al3+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, two Al3+, and one B3+ atom. In the seventh O2- site, O2- is bonded to one Ca2+, one Y3+, and two equivalent Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the eighth O2- site, O2- is bonded to one Ca2+, one Y3+, and two equivalent Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+, one Al3+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+, one Al3+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to two Ca2+ and two equivalent Al3+ atoms to form distorted corner-sharing OCa2Al2 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Ca2+, one Y3+, and two equivalent Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, two equivalent Al3+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, two equivalent Al3+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, two Al3+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded to one Ca2+, one Y3+, and two Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+, one Y3+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded to one Ca2+, one Y3+, and two Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, two equivalent Al3+, and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, two equivalent Al3+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Y3+, two equivalent Al3+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, two equivalent Al3+, and one B3+ atom. In the thirty-second O2- site, O2- is bonded to one Ca2+, one Y3+, and two Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one B3+ atom. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li10Ge(PS6)2 by Materials Project

Li10GeP2S12 is Aluminum carbonitride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Li–S bond distances ranging from 2.50–3.19 Å. In the second Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share corners with two equivalent PS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, an edgeedge with one GeS4 tetrahedra, an edgeedge with one PS4 tetrahedra, and edges with two LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.51–3.11 Å. In the third Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with two equivalent PS4 tetrahedra, corners with three LiS4 tetrahedra, corners with two equivalent LiS5 trigonal bipyramids, an edgeedge with one GeS4 tetrahedra, an edgeedge with one PS4 tetrahedra, and edges with three LiS4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Li–S bond distances ranging from 2.56–3.01 Å. In the fourth Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with two equivalent PS4 tetrahedra, corners with four LiS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one GeS4 tetrahedra, an edgeedge with one PS4 tetrahedra, edges with four LiS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. There are a spread of Li–S bond distances ranging from 2.52–2.83 Å. In the fifth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three LiS6 octahedra, corners with two equivalent LiS4 tetrahedra, corners with two PS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, an edgeedge with one GeS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 21–61°. There are a spread of Li–S bond distances ranging from 2.35–2.47 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Li–S bond distances ranging from 2.51–3.22 Å. In the seventh Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, corners with two PS4 tetrahedra, corners with four LiS4 tetrahedra, corners with two LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, and an edgeedge with one GeS4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Li–S bond distances ranging from 2.41–2.51 Å. In the eighth Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with two PS4 tetrahedra, corners with six LiS4 tetrahedra, edges with two LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, an edgeedge with one GeS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Li–S bond distances ranging from 2.54–3.10 Å. In the ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS6 octahedra, a cornercorner with one GeS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent LiS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–71°. There are a spread of Li–S bond distances ranging from 2.37–2.50 Å. In the tenth Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 trigonal bipyramids that share corners with three LiS6 octahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent GeS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one PS4 tetrahedra, and edges with two LiS4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–41°. There are a spread of Li–S bond distances ranging from 2.43–2.88 Å. In the eleventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four LiS6 octahedra, a cornercorner with one GeS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent LiS4 tetrahedra, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 16–68°. There are a spread of Li–S bond distances ranging from 2.36–2.60 Å. In the twelfth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two LiS6 octahedra, corners with two PS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one GeS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–72°. There are a spread of Li–S bond distances ranging from 2.47–2.65 Å. In the thirteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two GeS4 tetrahedra, corners with three LiS4 tetrahedra, corners with three LiS5 trigonal bipyramids, edges with two LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.46–2.53 Å. In the fourteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, corners with two equivalent LiS4 tetrahedra, corners with two PS4 tetrahedra, corners with two equivalent LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one GeS4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Li–S bond distances ranging from 2.41–2.56 Å. In the fifteenth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, a cornercorner with one GeS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with two equivalent LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–S bond distances ranging from 2.38–2.48 Å. In the sixteenth Li1+ site, Li1+ is bonded to five S2- atoms to form distorted LiS5 trigonal bipyramids that share a cornercorner with one PS4 tetrahedra, corners with two GeS4 tetrahedra, corners with seven LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, an edgeedge with one LiS4 tetrahedra, and an edgeedge with one PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.46–2.92 Å. In the seventeenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two equivalent LiS6 octahedra, corners with two GeS4 tetrahedra, corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, and an edgeedge with one PS4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Li–S bond distances ranging from 2.45–2.54 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of Li–S bond distances ranging from 2.43–2.64 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Li–S bond distances ranging from 2.42–2.97 Å. In the twentieth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one LiS6 octahedra, a cornercorner with one GeS4 tetrahedra, a cornercorner with one PS4 tetrahedra, corners with three LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, an edgeedge with one LiS6 octahedra, an edgeedge with one PS4 tetrahedra, and an edgeedge with one LiS5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 69°. There are a spread of Li–S bond distances ranging from 2.48–2.58 Å. There are two inequivalent Ge4+ sites. In the first Ge4+ site, Ge4+ is bonded to four S2- atoms to form GeS4 tetrahedra that share corners with four LiS4 tetrahedra, a cornercorner with one LiS5 trigonal bipyramid, edges with two LiS6 octahedra, and edges with two LiS4 tetrahedra. There are a spread of Ge–S bond distances ranging from 2.23–2.25 Å. In the second Ge4+ site, Ge4+ is bonded to four S2- atoms to form GeS4 tetrahedra that share corners with four LiS4 tetrahedra, corners with three LiS5 trigonal bipyramids, edges with two LiS6 octahedra, and edges with two LiS4 tetrahedra. There are a spread of Ge–S bond distances ranging from 2.22–2.27 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with five LiS6 octahedra and corners with five LiS4 tetrahedra. The corner-sharing octahedra tilt angles range from 18–57°. There are a spread of P–S bond distances ranging from 2.02–2.07 Å. In the second P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three LiS6 octahedra, corners with three LiS4 tetrahedra, edges with two LiS4 tetrahedra, and edges with two LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 27–57°. There are a spread of P–S bond distances ranging from 2.04–2.06 Å. In the third P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with two LiS5 trigonal bipyramids, an edgeedge with one LiS6 octahedra, and edges with two LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.05–2.07 Å. In the fourth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two LiS4 tetrahedra, edges with three LiS6 octahedra, and edges with two LiS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. There are twenty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a 3-coordinate geometry to four Li1+ and one P5+ atom. In the second S2- site, S2- is bonded to four Li1+ and one P5+ atom to form distorted SLi4P square pyramids that share corners with three SLi4P trigonal bipyramids, corners with two SLi3P trigonal pyramids, an edgeedge with one SLi4Ge square pyramid, and edges with two SLi4P trigonal bipyramids. In the third S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fourth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to five Li1+ and one P5+ atom. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one P5+ atom. In the seventh S2- site, S2- is bonded to four Li1+ and one P5+ atom to form distorted SLi4P trigonal bipyramids that share corners with four SLi3P trigonal pyramids, an edgeedge with one SLi4P square pyramid, and edges with two SLi4P trigonal bipyramids. In the eighth S2- site, S2- is bonded to three Li1+ and one P5+ atom to form distorted SLi3P trigonal pyramids that share a cornercorner with one SLi4P square pyramid, corners with three SLi4P trigonal bipyramids, corners with four SLi3P trigonal pyramids, and an edgeedge with one SLi4Ge trigonal bipyramid. In the ninth S2- site, S2- is bonded in a 5-coordinate geometry to four Li1+ and one Ge4+ atom. In the tenth S2- site, S2- is bonded in a 6-coordinate geometry to five Li1+ and one Ge4+

36 MATERIALS SCIENCE↗

Materials Data on Li2FeP2O7 by Materials Project

Li2FeP2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.43 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.71 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.46 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one FeO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 34°. There are a spread of Li–O bond distances ranging from 1.97–2.15 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.13 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five PO4 tetrahedra, an edgeedge with one FeO6 octahedra, and a faceface with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.34 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.23 Å. In the eighth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.77 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with six PO4 tetrahedra, and a faceface with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 66°. There are a spread of Fe–O bond distances ranging from 2.08–2.21 Å. In the second Fe2+ site, Fe2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 2.05–2.53 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.08–2.25 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Fe–O bond distances ranging from 2.07–2.49 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of P–O bond distances ranging from 1.52–1.66 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of P–O bond distances ranging from 1.51–1.65 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of P–O bond distances ranging from 1.52–1.64 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–58°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–59°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 50°. There are a spread of P–O bond distances ranging from 1.51–1.66 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe2+, and one P5+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Fe2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two P5+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe2+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe2+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two Fe2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two P5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na2Sr6ZnFe6F34 by Materials Project

Na2Sr6Fe6ZnF34 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 2-coordinate geometry to nine F1- atoms. There are a spread of Na–F bond distances ranging from 2.39–2.99 Å. In the second Na1+ site, Na1+ is bonded to six F1- atoms to form NaF6 octahedra that share corners with two ZnF6 octahedra and corners with four FeF6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Na–F bond distances ranging from 2.24–2.44 Å. In the third Na1+ site, Na1+ is bonded to six F1- atoms to form NaF6 octahedra that share corners with two ZnF6 octahedra and corners with four FeF6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Na–F bond distances ranging from 2.30–2.42 Å. In the fourth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Na–F bond distances ranging from 2.46–2.98 Å. There are twelve inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Sr–F bond distances ranging from 2.50–3.11 Å. In the second Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.55–2.73 Å. In the third Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.47–2.75 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.54–2.78 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.47–2.71 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Sr–F bond distances ranging from 2.42–3.00 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Sr–F bond distances ranging from 2.43–2.93 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.48–2.70 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.50–2.76 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.50–2.73 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Sr–F bond distances ranging from 2.53–3.02 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Sr–F bond distances ranging from 2.41–2.96 Å. There are twelve inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six F1- atoms to form corner-sharing FeF6 octahedra. The corner-sharing octahedra tilt angles range from 44–46°. There are a spread of Fe–F bond distances ranging from 1.92–2.00 Å. In the second Fe3+ site, Fe3+ is bonded to six F1- atoms to form corner-sharing FeF6 octahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Fe–F bond distances ranging from 1.91–2.00 Å. In the third Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 39–58°. There are a spread of Fe–F bond distances ranging from 1.92–2.00 Å. In the fourth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 43–59°. There are a spread of Fe–F bond distances ranging from 1.93–2.00 Å. In the fifth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 42–60°. There are a spread of Fe–F bond distances ranging from 1.90–2.00 Å. In the sixth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Fe–F bond distances ranging from 1.90–2.02 Å. In the seventh Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of Fe–F bond distances ranging from 1.92–1.99 Å. In the eighth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of Fe–F bond distances ranging from 1.91–2.00 Å. In the ninth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 43–59°. There are a spread of Fe–F bond distances ranging from 1.90–2.01 Å. In the tenth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of Fe–F bond distances ranging from 1.92–2.04 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six F1- atoms to form corner-sharing FeF6 octahedra. The corner-sharing octahedra tilt angles range from 42–44°. There are a spread of Fe–F bond distances ranging from 1.91–1.98 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six F1- atoms to form corner-sharing FeF6 octahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Fe–F bond distances ranging from 1.90–2.02 Å. There are two inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to six F1- atoms to form ZnF6 octahedra that share corners with two NaF6 octahedra and corners with four FeF6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of Zn–F bond distances ranging from 2.00–2.15 Å. In the second Zn2+ site, Zn2+ is bonded to six F1- atoms to form ZnF6 octahedra that share corners with two NaF6 octahedra and corners with four FeF6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of Zn–F bond distances ranging from 2.04–2.14 Å. There are sixty-eight inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted linear geometry to one Sr2+ and one Fe3+ atom. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to two Sr2+ and one Fe3+ atom. In the third F1- site, F1- is bonded in a 3-coordinate geometry to two Sr2+ and one Fe3+ atom. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Na1+, one Sr2+, and one Fe3+ atom. In the fifth F1- site, F1- is bonded in a 4-coordinate geometry to one Na1+, two Sr2+, and one Fe3+ atom. In the sixth F1- site, F1- is bonded in a distorted linear geometry to one Sr2+ and one Fe3+ atom. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to two Sr2+ and one Fe3+ atom. In the eighth F1- site, F1- is bonded in a 2-coordinate geometry to one Na1+ and two Fe3+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to two Sr2+ and one Fe3+ atom. In the tenth F1- site, F1- is bonded in a 1-coordinate geometry to two Sr2+ and one Fe3+ atom. In the eleventh F1- site, F1- is bonded in a 1-coordinate geometry to three Sr2+ and one Fe3+ atom. In the twelfth F1- site, F1- is bonded in a 1-coordinate geometry to three Sr2+ and one Fe3+ atom. In the thirteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Fe3+ atoms. In the fourteenth F1- site, F1- is bonded in a 1-coordinate geometry to three Sr2+ and one Fe3+ atom. In the fifteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Sr2+, and one Fe3+ atom. In the sixteenth F1- site, F1- is bonded in a 4-coordinate geometry to one Na1+, two Sr2+, and one Fe3+ atom. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Sr2+ and one Fe3+ atom. In the eighteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Fe3+, and one Zn2+ atom. In the nineteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Sr2+ and one Fe3+ atom. In the twentieth F1- site, F1- is bonded in a 2-coordinate geometry to two Sr2+ and one Fe3+ atom. In the twenty-first F1- site, F1- is bonded in a 1-coordinate geometry to two Sr2+ and one Fe3+ atom. In the twenty-second F1- site, F1- is bonded in a 3-coordinate geometry to one Sr2+, one Fe3+, and one Zn2+ atom. In the twenty-third F1- site, F1- is bonded to two Na1+, one Sr2+, and one Fe3+ atom to form distorted FNa2SrFe tetrahedra that share corners with two FNaSr2Zn tetrahedra and an edgeedge with one FNa2SrZn tetrahedra. In the twenty-fourth F1- site, F1- is bonded to two Na1+, one Sr2+, and one Zn2+ atom to form distorted FNa2SrZn tetrahedra that share corners with three FNaSr2Zn tetrahedra and an edgeedge with one FNa2SrFe tetrahedra. In the twenty-fifth F1- site, F1- is bonded in a 2-coordinate geometry to one Sr2+ and two Fe3+ atoms. In the twenty-sixth F1- site, F1- is bonded in a 1-coordinate geometry to two Sr2+ and one Fe3+ atom. In the twenty-seventh F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Fe3+ atoms. In the twenty-eighth F1- site, F1- is bonded in a 2-coordinate geometry to two Sr2+ and one Fe3+ atom. In the twenty-ninth F1- site, F1- is bonded to one Na1+, two Sr2+, and one Fe3+ atom to form distorted FNaSr2Fe tetrahedra that share corners with two FNaSr2Zn tetrahedra and an edgeedge with one FNaSr2Fe tetrahedra. In the thirtieth F1- site, F1- is bonded in a 4-coordinate geometry to one Na1+, two Sr2+, and one Zn2+ atom. In the thirty-first F1- site, F1- is bonded in a 4-coordinate geometry to three Sr2+ and one Fe3+ atom. In the thirty-second F1- site, F1- is bonded in a 3-coordinate geometry to one Sr2+, one Fe3+, and one Zn2+ atom. In the thirty-third F1- site, F1- is bonded in a 4-coordinate geometry to one Na1+, two Sr2+, and one Fe3+ atom. In the thirty-fourth F1- site, F1- is bonded in a 2-coordinate geometry to one Sr2+, one Fe3+, and one Zn2+ atom. In the thirty-fifth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Sr2+, one Fe3+, and one Zn2+ atom. In the thirty-sixth F1- site, F1- is bonded in a 4-coordinate geometry to one Na1+, two Sr2+, and one Fe3+ atom. In the thirty-seventh F1- site, F1- is bonded in a 3-coordinate geometry to one Sr2+, one Fe3+, and one Zn2+ atom. In the thirty-eighth F1- site, F1- is bonded to one Na1+, two Sr2+, and one Fe3+ atom to form distorted FNaSr2Fe tetrahedra that share a cornercorner with one FNa2SrFe tetrahedra and an edgeedge with one FNaSr2Fe tetrahedra. In the thirty-ninth F1- site, F1- is bonded to one Na1+, two Sr2+, and one Zn2+ atom to form distorted FNaSr2Zn tetrahedra that share corners with two FNa2SrZn tetrahedra and an edgeedge with one FNa2SrFe tetr

36 MATERIALS SCIENCE↗

Materials Data on Sr12Co10O27 by Materials Project

Sr12Co10O27 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–2.86 Å. In the second Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–3.19 Å. In the third Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.41–2.76 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–3.13 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–2.82 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.43–2.87 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.93 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–3.05 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.43–2.76 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.73 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–3.17 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–3.13 Å. There are ten inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to five O2- atoms to form distorted CoO5 trigonal bipyramids that share an edgeedge with one CoO5 trigonal bipyramid and a faceface with one CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–2.17 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share a faceface with one CoO6 octahedra and a faceface with one CoO5 trigonal bipyramid. There are a spread of Co–O bond distances ranging from 1.93–2.09 Å. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form face-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.94–1.98 Å. In the fourth Co3+ site, Co3+ is bonded to six O2- atoms to form distorted face-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.94–2.37 Å. In the fifth Co3+ site, Co3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.79–1.93 Å. In the sixth Co3+ site, Co3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.84–1.94 Å. In the seventh Co3+ site, Co3+ is bonded to six O2- atoms to form face-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.20 Å. In the eighth Co3+ site, Co3+ is bonded to six O2- atoms to form face-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.01 Å. In the ninth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share a faceface with one CoO6 octahedra and a faceface with one CoO5 trigonal bipyramid. There are a spread of Co–O bond distances ranging from 1.89–2.08 Å. In the tenth Co3+ site, Co3+ is bonded to five O2- atoms to form distorted CoO5 trigonal bipyramids that share an edgeedge with one CoO5 trigonal bipyramid and a faceface with one CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–2.27 Å. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to three Sr2+ and two Co3+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+ and two Co3+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Sr2+ and two Co3+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Co3+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Sr2+ and two Co3+ atoms. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Co3+ atoms. In the seventh O2- site, O2- is bonded to four Sr2+ and two Co3+ atoms to form a mixture of distorted corner and face-sharing OSr4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the eighth O2- site, O2- is bonded to four Sr2+ and two Co3+ atoms to form a mixture of distorted corner and face-sharing OSr4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the ninth O2- site, O2- is bonded to four Sr2+ and two Co3+ atoms to form a mixture of distorted edge, corner, and face-sharing OSr4Co2 octahedra. The corner-sharing octahedral tilt angles are 57°. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Co3+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+ and two Co3+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+ and two Co3+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Sr2+ and two Co3+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Co3+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+ and two Co3+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Sr2+ and two Co3+ atoms. In the seventeenth O2- site, O2- is bonded to four Sr2+ and two Co3+ atoms to form a mixture of distorted corner and face-sharing OSr4Co2 octahedra. The corner-sharing octahedra tilt angles range from 27–61°. In the eighteenth O2- site, O2- is bonded to four Sr2+ and two Co3+ atoms to form a mixture of distorted edge, corner, and face-sharing OSr4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–57°. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Co3+ atoms. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Co3+ atoms. In the twenty-first O2- site, O2- is bonded to four Sr2+ and two Co3+ atoms to form a mixture of distorted corner and face-sharing OSr4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–58°. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+ and two Co3+ atoms. In the twenty-third O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Co3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Sr2+ and two Co3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+ and two Co3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and two Co3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+ and two Co3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li15Mn21O43 by Materials Project

Li15Mn21O43 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fifteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. In the second Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.94 Å) and two longer (2.04 Å) Li–O bond length. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one MnO5 square pyramid, corners with three LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, edges with two equivalent MnO6 octahedra, and edges with two MnO5 square pyramids. There are a spread of Li–O bond distances ranging from 1.93–2.19 Å. In the fourth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.96 Å) and one longer (2.02 Å) Li–O bond length. In the fifth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.91 Å) and one longer (2.04 Å) Li–O bond length. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with two MnO5 square pyramids, corners with three equivalent LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with two MnO5 square pyramids. There are a spread of Li–O bond distances ranging from 1.91–2.18 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra, corners with two equivalent LiO5 square pyramids, and corners with seven MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Li–O bond distances ranging from 1.86–2.07 Å. In the eighth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.03 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra, corners with three equivalent LiO5 square pyramids, and corners with six MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Li–O bond distances ranging from 1.83–2.12 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six MnO5 square pyramids. There are a spread of Li–O bond distances ranging from 2.06–2.17 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten MnO6 octahedra and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.02–2.06 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, and corners with nine MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Li–O bond distances ranging from 1.90–2.12 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with seven MnO5 square pyramids, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Li–O bond distances ranging from 1.92–2.04 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with eight MnO6 octahedra and corners with four MnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 48–68°. There are a spread of Li–O bond distances ranging from 1.93–2.08 Å. In the fifteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with seven MnO6 octahedra, a cornercorner with one LiO5 square pyramid, a cornercorner with one MnO5 square pyramid, and corners with three equivalent MnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Li–O bond distances ranging from 1.96–2.08 Å. There are twenty-one inequivalent Mn+3.38+ sites. In the first Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO5 square pyramid, a cornercorner with one MnO5 square pyramid, corners with three equivalent LiO4 tetrahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.13 Å. In the second Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, edges with two equivalent LiO5 square pyramids, edges with three MnO5 square pyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.94–2.00 Å. In the third Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with two MnO5 square pyramids, corners with three equivalent LiO4 tetrahedra, edges with two MnO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.87–1.98 Å. In the fourth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO5 square pyramid, and edges with five MnO5 square pyramids. There are a spread of Mn–O bond distances ranging from 1.90–2.03 Å. In the fifth Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one LiO5 square pyramid, corners with three LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, edges with two equivalent MnO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.04 Å. In the sixth Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with two MnO5 square pyramids, corners with three LiO4 tetrahedra, edges with two equivalent MnO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.91–2.01 Å. In the seventh Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO5 square pyramid, and edges with five MnO5 square pyramids. There are a spread of Mn–O bond distances ranging from 1.94–2.01 Å. In the eighth Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with two MnO5 square pyramids, corners with three LiO4 tetrahedra, edges with two equivalent MnO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the ninth Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one LiO5 square pyramid, a cornercorner with one MnO5 square pyramid, corners with three LiO4 tetrahedra, edges with two equivalent MnO6 octahedra, and edges with two MnO5 square pyramids. There are a spread of Mn–O bond distances ranging from 1.90–2.06 Å. In the tenth Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with two MnO5 square pyramids, corners with three equivalent LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two MnO5 square pyramids. There are a spread of Mn–O bond distances ranging from 1.84–2.04 Å. In the eleventh Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one LiO5 square pyramid, a cornercorner with one MnO5 square pyramid, corners with three LiO4 tetrahedra, edges with two equivalent MnO6 octahedra, and edges with two MnO5 square pyramids. There are a spread of Mn–O bond distances ranging from 1.90–2.06 Å. In the twelfth Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with two MnO5 square pyramids, corners with three LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with two MnO5 square pyramids. There are a spread of Mn–O bond distances ranging from 1.85–1.92 Å. In the thirteenth Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one MnO5 square pyramid, corners with four LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, edges with three MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.91–2.06 Å. In the fourteenth Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with three equivalent LiO4 tetrahedra, corners with two MnO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two MnO5 square pyramids. There are a spread of Mn–O bond distances ranging from 1.88–2.14 Å. In the fifteenth Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with two MnO5 square pyramids, corners with three LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with two MnO5 square pyramids. There are a spread of Mn–O bond distances ranging from 1.92–2.12 Å. In the sixteenth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one MnO5 square pyramid, and edges with four MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.97–2.17 Å. In the seventeenth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with four MnO6 octahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.89–1.99 Å. In the eighteenth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with five MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.93–2.09 Å. In the nineteenth Mn+3.38+ site, Mn+3.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one MnO5 square pyramid, corners with four LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, edges with three MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.91–2.06 Å. In the twentieth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with five MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the twenty-first Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with five MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.94–2.18 Å. There are forty-three inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and two Mn+3.38+ atoms to form OLi2Mn2 tetrahedra that share corners with two OLiMn3 tetrahedra, corners with five OLi2Mn2 trigonal pyramids, and edges with two OLiM

36 MATERIALS SCIENCE↗

Materials Data on LiFe2(PO4)3 by Materials Project

LiFe2(PO4)3 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Li is bonded to six O atoms to form LiO6 octahedra that share corners with six PO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.28 Å. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.18 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six equivalent PO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are two shorter (1.94 Å) and four longer (2.13 Å) Fe–O bond lengths. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six equivalent PO4 tetrahedra and edges with two equivalent LiO6 octahedra. There is two shorter (1.95 Å) and four longer (2.04 Å) Fe–O bond length. There are three inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with three equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There is two shorter (1.53 Å) and two longer (1.58 Å) P–O bond length. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with three equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. There are nine inequivalent O sites. In the first O site, O is bonded in a bent 120 degrees geometry to one Li and one P atom. In the second O site, O is bonded in a bent 120 degrees geometry to one Li and one P atom. In the third O site, O is bonded in a distorted bent 150 degrees geometry to one Fe and one P atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the seventh O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the eighth O site, O is bonded in a distorted bent 120 degrees geometry to one Fe and one P atom. In the ninth O site, O is bonded in a distorted trigonal planar geometry to two Fe and one P atom.

36 MATERIALS SCIENCE↗

Materials Data on K2Mn2Be3F12 by Materials Project

K2Be3Mn2F12 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are eight inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of K–F bond distances ranging from 2.75–3.26 Å. In the second K1+ site, K1+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of K–F bond distances ranging from 2.82–3.39 Å. In the third K1+ site, K1+ is bonded in a 7-coordinate geometry to seven F1- atoms. There are a spread of K–F bond distances ranging from 2.71–3.15 Å. In the fourth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of K–F bond distances ranging from 2.81–3.15 Å. In the fifth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of K–F bond distances ranging from 2.70–3.27 Å. In the sixth K1+ site, K1+ is bonded in a 6-coordinate geometry to eleven F1- atoms. There are a spread of K–F bond distances ranging from 2.67–3.35 Å. In the seventh K1+ site, K1+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of K–F bond distances ranging from 2.76–3.08 Å. In the eighth K1+ site, K1+ is bonded in a 7-coordinate geometry to seven F1- atoms. There are a spread of K–F bond distances ranging from 2.85–3.08 Å. There are twelve inequivalent Be2+ sites. In the first Be2+ site, Be2+ is bonded to four F1- atoms to form BeF4 tetrahedra that share corners with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 26–58°. There are a spread of Be–F bond distances ranging from 1.55–1.57 Å. In the second Be2+ site, Be2+ is bonded to four F1- atoms to form BeF4 tetrahedra that share corners with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 21–56°. There are a spread of Be–F bond distances ranging from 1.54–1.58 Å. In the third Be2+ site, Be2+ is bonded to four F1- atoms to form BeF4 tetrahedra that share corners with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 17–47°. All Be–F bond lengths are 1.56 Å. In the fourth Be2+ site, Be2+ is bonded to four F1- atoms to form BeF4 tetrahedra that share corners with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 21–55°. There is one shorter (1.56 Å) and three longer (1.57 Å) Be–F bond length. In the fifth Be2+ site, Be2+ is bonded to four F1- atoms to form BeF4 tetrahedra that share corners with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 17–57°. There is two shorter (1.56 Å) and two longer (1.57 Å) Be–F bond length. In the sixth Be2+ site, Be2+ is bonded to four F1- atoms to form BeF4 tetrahedra that share corners with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 17–55°. There is one shorter (1.55 Å) and three longer (1.57 Å) Be–F bond length. In the seventh Be2+ site, Be2+ is bonded to four F1- atoms to form BeF4 tetrahedra that share corners with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 24–55°. There are a spread of Be–F bond distances ranging from 1.55–1.57 Å. In the eighth Be2+ site, Be2+ is bonded to four F1- atoms to form BeF4 tetrahedra that share corners with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 23–56°. There are a spread of Be–F bond distances ranging from 1.54–1.57 Å. In the ninth Be2+ site, Be2+ is bonded to four F1- atoms to form BeF4 tetrahedra that share corners with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 15–49°. There are a spread of Be–F bond distances ranging from 1.55–1.57 Å. In the tenth Be2+ site, Be2+ is bonded to four F1- atoms to form BeF4 tetrahedra that share corners with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 18–53°. There is two shorter (1.56 Å) and two longer (1.57 Å) Be–F bond length. In the eleventh Be2+ site, Be2+ is bonded to four F1- atoms to form BeF4 tetrahedra that share corners with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 27–38°. There is one shorter (1.56 Å) and three longer (1.57 Å) Be–F bond length. In the twelfth Be2+ site, Be2+ is bonded to four F1- atoms to form BeF4 tetrahedra that share corners with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 24–57°. There is two shorter (1.57 Å) and two longer (1.58 Å) Be–F bond length. There are eight inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with six BeF4 tetrahedra. There are a spread of Mn–F bond distances ranging from 2.12–2.17 Å. In the second Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with six BeF4 tetrahedra. There are a spread of Mn–F bond distances ranging from 2.14–2.17 Å. In the third Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with six BeF4 tetrahedra. There are a spread of Mn–F bond distances ranging from 2.08–2.18 Å. In the fourth Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with six BeF4 tetrahedra. There are a spread of Mn–F bond distances ranging from 2.07–2.22 Å. In the fifth Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with six BeF4 tetrahedra. There are a spread of Mn–F bond distances ranging from 2.13–2.20 Å. In the sixth Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with six BeF4 tetrahedra. There are a spread of Mn–F bond distances ranging from 2.11–2.18 Å. In the seventh Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with six BeF4 tetrahedra. There are a spread of Mn–F bond distances ranging from 2.11–2.17 Å. In the eighth Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with six BeF4 tetrahedra. There are a spread of Mn–F bond distances ranging from 2.12–2.17 Å. There are forty-eight inequivalent F1- sites. In the first F1- site, F1- is bonded in a 2-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the second F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the third F1- site, F1- is bonded in a 1-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the fourth F1- site, F1- is bonded in a 2-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the fifth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two K1+, one Be2+, and one Mn2+ atom. In the sixth F1- site, F1- is bonded in a 1-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the seventh F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the eighth F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the ninth F1- site, F1- is bonded in a distorted bent 120 degrees geometry to two K1+, one Be2+, and one Mn2+ atom. In the tenth F1- site, F1- is bonded in a 2-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the eleventh F1- site, F1- is bonded in a 3-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the twelfth F1- site, F1- is bonded in a 1-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the thirteenth F1- site, F1- is bonded in a 2-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the fourteenth F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the fifteenth F1- site, F1- is bonded in a 2-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the sixteenth F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the seventeenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Be2+ and one Mn2+ atom. In the eighteenth F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the nineteenth F1- site, F1- is bonded in a 1-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the twentieth F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the twenty-first F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the twenty-second F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Be2+ and one Mn2+ atom. In the twenty-third F1- site, F1- is bonded in a 2-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the twenty-fourth F1- site, F1- is bonded in a 1-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the twenty-fifth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two K1+, one Be2+, and one Mn2+ atom. In the twenty-sixth F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the twenty-seventh F1- site, F1- is bonded in a 2-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the twenty-eighth F1- site, F1- is bonded in a 2-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the twenty-ninth F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the thirtieth F1- site, F1- is bonded in a 2-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the thirty-first F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the thirty-second F1- site, F1- is bonded in a 3-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the thirty-third F1- site, F1- is bonded in a 2-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the thirty-fourth F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the thirty-fifth F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the thirty-sixth F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the thirty-seventh F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the thirty-eighth F1- site, F1- is bonded in a 1-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the thirty-ninth F1- site, F1- is bonded in a 1-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the fortieth F1- site, F1- is bonded in a 1-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the forty-first F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the forty-second F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the forty-third F1- site, F1- is bonded in a distorted trigonal planar geometry to one K1+, one Be2+, and one Mn2+ atom. In the forty-fourth F1- site, F1- is bonded in a 2-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the forty-fifth F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the forty-sixth F1- site, F1- is bonded in a 1-coordinate geometry to two K1+, one Be2+, and one Mn2+ atom. In the forty-seventh F1- site, F1- is bonded in a 1-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom. In the forty-eighth F1- site, F1- is bonded in a 1-coordinate geometry to one K1+, one Be2+, and one Mn2+ atom.

36 MATERIALS SCIENCE↗