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Materials Data on Ce14Si11Ni6 by Materials Project

Ce14Ni6Si11 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-eight inequivalent Ce sites. In the first Ce site, Ce is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.90 Å) and one longer (2.93 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.03–3.16 Å. In the second Ce site, Ce is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.84 Å) and one longer (2.85 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.06–3.25 Å. In the third Ce site, Ce is bonded in a 7-coordinate geometry to two Ni and five Si atoms. There are one shorter (2.81 Å) and one longer (2.89 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.01–3.16 Å. In the fourth Ce site, Ce is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.94 Å) and one longer (2.95 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 2.99–3.55 Å. In the fifth Ce site, Ce is bonded to six Ni and six Si atoms to form CeSi6Ni6 cuboctahedra that share edges with two equivalent CeSi8Ni4 cuboctahedra and faces with three CeSi6Ni6 cuboctahedra. There are a spread of Ce–Ni bond distances ranging from 3.13–3.18 Å. There are a spread of Ce–Si bond distances ranging from 3.05–3.24 Å. In the sixth Ce site, Ce is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Ce–Ni bond lengths are 2.85 Å. There are a spread of Ce–Si bond distances ranging from 3.01–3.18 Å. In the seventh Ce site, Ce is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Ce–Ni bond length is 2.93 Å. There are a spread of Ce–Si bond distances ranging from 3.01–3.09 Å. In the eighth Ce site, Ce is bonded to six Ni and six Si atoms to form CeSi6Ni6 cuboctahedra that share edges with two equivalent CeSi8Ni4 cuboctahedra and faces with three CeSi6Ni6 cuboctahedra. There are a spread of Ce–Ni bond distances ranging from 3.12–3.20 Å. There are a spread of Ce–Si bond distances ranging from 3.05–3.24 Å. In the ninth Ce site, Ce is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. There are one shorter (2.94 Å) and one longer (2.95 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.02–3.05 Å. In the tenth Ce site, Ce is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.85 Å) and one longer (2.86 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.00–3.17 Å. In the eleventh Ce site, Ce is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Ce–Ni bond length is 2.86 Å. There are a spread of Ce–Si bond distances ranging from 3.05–3.15 Å. In the twelfth Ce site, Ce is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Ce–Ni bond lengths are 2.87 Å. There are a spread of Ce–Si bond distances ranging from 3.01–3.18 Å. In the thirteenth Ce site, Ce is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. There are one shorter (3.01 Å) and one longer (3.02 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.01–3.17 Å. In the fourteenth Ce site, Ce is bonded to six Ni and six Si atoms to form CeSi6Ni6 cuboctahedra that share edges with two equivalent CeSi8Ni4 cuboctahedra and faces with three CeSi6Ni6 cuboctahedra. There are a spread of Ce–Ni bond distances ranging from 3.11–3.21 Å. There are a spread of Ce–Si bond distances ranging from 3.07–3.16 Å. In the fifteenth Ce site, Ce is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Ce–Ni bond length is 2.85 Å. There are a spread of Ce–Si bond distances ranging from 3.06–3.16 Å. In the sixteenth Ce site, Ce is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. There are one shorter (3.00 Å) and one longer (3.03 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.01–3.15 Å. In the seventeenth Ce site, Ce is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. There are one shorter (2.94 Å) and one longer (2.96 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.02–3.06 Å. In the eighteenth Ce site, Ce is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Ce–Ni bond lengths are 2.88 Å. There are a spread of Ce–Si bond distances ranging from 3.01–3.19 Å. In the nineteenth Ce site, Ce is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Ce–Ni bond length is 2.93 Å. There are a spread of Ce–Si bond distances ranging from 3.02–3.11 Å. In the twentieth Ce site, Ce is bonded to four Ni and eight Si atoms to form a mixture of edge and face-sharing CeSi8Ni4 cuboctahedra. There are a spread of Ce–Ni bond distances ranging from 3.10–3.12 Å. There are a spread of Ce–Si bond distances ranging from 3.11–3.17 Å. In the twenty-first Ce site, Ce is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.88 Å) and one longer (2.89 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 2.99–3.17 Å. In the twenty-second Ce site, Ce is bonded to six Ni and six Si atoms to form a mixture of edge and face-sharing CeSi6Ni6 cuboctahedra. There are a spread of Ce–Ni bond distances ranging from 3.13–3.20 Å. There are a spread of Ce–Si bond distances ranging from 3.07–3.17 Å. In the twenty-third Ce site, Ce is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Ce–Ni bond lengths are 2.88 Å. There are a spread of Ce–Si bond distances ranging from 2.99–3.16 Å. In the twenty-fourth Ce site, Ce is bonded in a 7-coordinate geometry to two Ni and five Si atoms. There are one shorter (2.82 Å) and one longer (2.89 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.01–3.15 Å. In the twenty-fifth Ce site, Ce is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.96 Å) and one longer (2.97 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.00–3.58 Å. In the twenty-sixth Ce site, Ce is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.92 Å) and one longer (2.93 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.03–3.16 Å. In the twenty-seventh Ce site, Ce is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.84 Å) and one longer (2.85 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.07–3.25 Å. In the twenty-eighth Ce site, Ce is bonded to four Ni and eight Si atoms to form a mixture of edge and face-sharing CeSi8Ni4 cuboctahedra. There are three shorter (3.12 Å) and one longer (3.13 Å) Ce–Ni bond lengths. There are a spread of Ce–Si bond distances ranging from 3.13–3.19 Å. There are twelve inequivalent Ni sites. In the first Ni site, Ni is bonded in a 9-coordinate geometry to six Ce and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.39–2.43 Å. In the second Ni site, Ni is bonded in a 9-coordinate geometry to six Ce and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.36–2.40 Å. In the third Ni site, Ni is bonded in a 9-coordinate geometry to six Ce and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.29–2.37 Å. In the fourth Ni site, Ni is bonded in a 9-coordinate geometry to six Ce and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.30–2.37 Å. In the fifth Ni site, Ni is bonded in a 9-coordinate geometry to six Ce and three Si atoms. There are one shorter (2.36 Å) and two longer (2.39 Å) Ni–Si bond lengths. In the sixth Ni site, Ni is bonded in a 9-coordinate geometry to six Ce and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.28–2.36 Å. In the seventh Ni site, Ni is bonded in a 9-coordinate geometry to six Ce and three Si atoms. All Ni–Si bond lengths are 2.42 Å. In the eighth Ni site, Ni is bonded in a 9-coordinate geometry to six Ce and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.41–2.43 Å. In the ninth Ni site, Ni is bonded in a 9-coordinate geometry to six Ce and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.31–2.38 Å. In the tenth Ni site, Ni is bonded in a 9-coordinate geometry to six Ce and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.39–2.44 Å. In the eleventh Ni site, Ni is bonded in a 9-coordinate geometry to six Ce and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.34–2.42 Å. In the twelfth Ni site, Ni is bonded in a 9-coordinate geometry to six Ce and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.35–2.43 Å. There are twenty-two inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to seven Ce and two Ni atoms. In the second Si site, Si is bonded in a 9-coordinate geometry to seven Ce and two Ni atoms. In the third Si site, Si is bonded in a 9-coordinate geometry to six Ce, two Ni, and one Si atom. The Si–Si bond length is 2.45 Å. In the fourth Si site, Si is bonded in a 9-coordinate geometry to seven Ce and two Ni atoms. In the fifth Si site, Si is bonded in a 9-coordinate geometry to six Ce, two Ni, and one Si atom. The Si–Si bond length is 2.43 Å. In the sixth Si site, Si is bonded in a 9-coordinate geometry to six Ce, two Ni, and one Si atom. The Si–Si bond length is 2.43 Å. In the seventh Si site, Si is bonded in a 9-coordinate geometry to seven Ce, one Ni, and one Si atom. In the eighth Si site, Si is bonded in a 9-coordinate geometry to seven Ce, one Ni, and one Si atom. In the ninth Si site, Si is bonded in a 9-coordinate geometry to eight Ce and one Ni atom. In the tenth Si site, Si is bonded in a 9-coordinate geometry to six Ce, two Ni, and one Si atom. The Si–Si bond length is 2.45 Å. In the eleventh Si site, Si is bonded in a 9-coordinate geometry to seven Ce, one Ni, and one Si atom. In the twelfth Si site, Si is bonded in a 9-coordinate geometry to seven Ce and two equivalent Ni atoms. In the thirteenth Si site, Si is bonded in a 9-coordinate geometry to eight Ce and one Ni atom. In the fourteenth Si site, Si is bonded in a 9-coordinate geometry to seven Ce and two equivalent Ni atoms. In the fifteenth Si site, Si is bonded in a 9-coordinate geometry to seven Ce and two Ni atoms. In the sixteenth Si site, Si is bonded in a 9-coordinate geometry to seven Ce, one Ni, and one Si atom. In the seventeenth Si site, Si is bonded in a 9-coordinate geometry to seven Ce and two equivalent Ni atoms. In the eighteenth Si site, Si is bonded in a 9-coordinate geometry to seven Ce and two Ni atoms. In the nineteenth Si site, Si is bonded in a 9-coordinate geometry to seven Ce and two Ni atoms. In the twentieth Si site, Si is bonded in a 9-coordinate geometry to seven Ce and two equivalent Ni atoms. In the twenty-first Si site, Si is bonded in a 9-coordinate geometry to eight Ce and one Ni atom. In the twenty-second Si site, Si is bonded in a 9-coordinate geometry to eight Ce and one Ni atom.

36 MATERIALS SCIENCE↗

Materials Data on Nd10Si10BrN17O9 by Materials Project

Nd10Si10N17O9Br crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to five N3- and three O2- atoms. There are a spread of Nd–N bond distances ranging from 2.54–2.85 Å. There are a spread of Nd–O bond distances ranging from 2.50–2.64 Å. In the second Nd3+ site, Nd3+ is bonded to three N3- and four O2- atoms to form distorted NdN3O4 pentagonal bipyramids that share a cornercorner with one SiN3O tetrahedra, an edgeedge with one NdN5O2 pentagonal bipyramid, and edges with four SiN3O tetrahedra. There are a spread of Nd–N bond distances ranging from 2.44–2.61 Å. There are a spread of Nd–O bond distances ranging from 2.39–2.79 Å. In the third Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to four N3- and two O2- atoms. There are a spread of Nd–N bond distances ranging from 2.44–2.56 Å. There are one shorter (2.62 Å) and one longer (2.66 Å) Nd–O bond lengths. In the fourth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to four N3-, three O2-, and one Br1- atom. There are a spread of Nd–N bond distances ranging from 2.36–2.66 Å. There are a spread of Nd–O bond distances ranging from 2.42–2.83 Å. The Nd–Br bond length is 3.25 Å. In the fifth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to four N3-, three O2-, and one Br1- atom. There are a spread of Nd–N bond distances ranging from 2.37–2.67 Å. There are a spread of Nd–O bond distances ranging from 2.42–2.86 Å. The Nd–Br bond length is 3.26 Å. In the sixth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to four N3-, three O2-, and one Br1- atom. There are a spread of Nd–N bond distances ranging from 2.36–2.69 Å. There are a spread of Nd–O bond distances ranging from 2.38–2.81 Å. The Nd–Br bond length is 3.28 Å. In the seventh Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to four N3-, three O2-, and one Br1- atom. There are a spread of Nd–N bond distances ranging from 2.37–2.67 Å. There are a spread of Nd–O bond distances ranging from 2.41–2.83 Å. The Nd–Br bond length is 3.28 Å. In the eighth Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to four N3-, two O2-, and one Br1- atom. There are a spread of Nd–N bond distances ranging from 2.44–2.58 Å. There are one shorter (2.68 Å) and one longer (2.69 Å) Nd–O bond lengths. The Nd–Br bond length is 3.55 Å. In the ninth Nd3+ site, Nd3+ is bonded to three N3- and four O2- atoms to form distorted NdN3O4 pentagonal bipyramids that share a cornercorner with one SiN3O tetrahedra and edges with four SiN2O2 tetrahedra. There are a spread of Nd–N bond distances ranging from 2.32–2.61 Å. There are a spread of Nd–O bond distances ranging from 2.44–2.61 Å. In the tenth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to four N3- and four O2- atoms. There are a spread of Nd–N bond distances ranging from 2.52–2.78 Å. There are a spread of Nd–O bond distances ranging from 2.49–2.60 Å. In the eleventh Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to four N3- and four O2- atoms. There are a spread of Nd–N bond distances ranging from 2.51–2.83 Å. There are two shorter (2.50 Å) and two longer (2.59 Å) Nd–O bond lengths. In the twelfth Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to four N3- and three O2- atoms. There are a spread of Nd–N bond distances ranging from 2.36–2.60 Å. There are a spread of Nd–O bond distances ranging from 2.47–2.86 Å. In the thirteenth Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to four N3- and two O2- atoms. There are a spread of Nd–N bond distances ranging from 2.41–2.61 Å. There are one shorter (2.66 Å) and one longer (2.68 Å) Nd–O bond lengths. In the fourteenth Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to four N3- and three O2- atoms. There are a spread of Nd–N bond distances ranging from 2.39–2.69 Å. There are a spread of Nd–O bond distances ranging from 2.42–2.75 Å. In the fifteenth Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to four N3- and three O2- atoms. There are a spread of Nd–N bond distances ranging from 2.37–2.70 Å. There are a spread of Nd–O bond distances ranging from 2.40–2.73 Å. In the sixteenth Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to five N3- and two O2- atoms. There are a spread of Nd–N bond distances ranging from 2.35–2.70 Å. There are one shorter (2.43 Å) and one longer (2.45 Å) Nd–O bond lengths. In the seventeenth Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to five N3- and two O2- atoms. There are a spread of Nd–N bond distances ranging from 2.35–2.70 Å. There are one shorter (2.43 Å) and one longer (2.44 Å) Nd–O bond lengths. In the eighteenth Nd3+ site, Nd3+ is bonded in a 6-coordinate geometry to four N3- and two O2- atoms. There are a spread of Nd–N bond distances ranging from 2.39–2.64 Å. There are one shorter (2.67 Å) and one longer (2.70 Å) Nd–O bond lengths. In the nineteenth Nd3+ site, Nd3+ is bonded to five N3- and two O2- atoms to form distorted NdN5O2 pentagonal bipyramids that share a cornercorner with one SiN2O2 tetrahedra, an edgeedge with one NdN3O4 pentagonal bipyramid, and edges with four SiN3O tetrahedra. There are a spread of Nd–N bond distances ranging from 2.40–2.63 Å. There are one shorter (2.63 Å) and one longer (2.71 Å) Nd–O bond lengths. In the twentieth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to five N3- and three O2- atoms. There are a spread of Nd–N bond distances ranging from 2.53–2.84 Å. There are a spread of Nd–O bond distances ranging from 2.50–2.65 Å. There are twenty inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one NdN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.75 Å. The Si–O bond length is 1.67 Å. In the second Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one NdN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.75 Å. The Si–O bond length is 1.67 Å. In the third Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.71 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the fourth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.73 Å. The Si–O bond length is 1.68 Å. In the fifth Si4+ site, Si4+ is bonded to two N3- and two O2- atoms to form SiN2O2 tetrahedra that share corners with two SiN3O tetrahedra and edges with two NdN3O4 pentagonal bipyramids. Both Si–N bond lengths are 1.70 Å. Both Si–O bond lengths are 1.68 Å. In the sixth Si4+ site, Si4+ is bonded to two N3- and two O2- atoms to form SiN2O2 tetrahedra that share a cornercorner with one NdN5O2 pentagonal bipyramid, corners with two SiN4 tetrahedra, and edges with two NdN3O4 pentagonal bipyramids. There is one shorter (1.70 Å) and one longer (1.71 Å) Si–N bond length. Both Si–O bond lengths are 1.68 Å. In the seventh Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.73 Å. The Si–O bond length is 1.68 Å. In the eighth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.70 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the ninth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one NdN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.79 Å. In the tenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one NdN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.75 Å. The Si–O bond length is 1.68 Å. In the eleventh Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.75 Å. The Si–O bond length is 1.67 Å. In the twelfth Si4+ site, Si4+ is bonded to four N3- atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.78 Å. In the thirteenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.74 Å. The Si–O bond length is 1.69 Å. In the fourteenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.71 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.69 Å. In the fifteenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form SiN3O tetrahedra that share a cornercorner with one NdN3O4 pentagonal bipyramid, corners with two SiN3O tetrahedra, and an edgeedge with one NdN5O2 pentagonal bipyramid. There is two shorter (1.72 Å) and one longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.70 Å. In the sixteenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form SiN3O tetrahedra that share a cornercorner with one NdN3O4 pentagonal bipyramid, corners with two SiN4 tetrahedra, and an edgeedge with one NdN5O2 pentagonal bipyramid. All Si–N bond lengths are 1.72 Å. The Si–O bond length is 1.73 Å. In the seventeenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.70 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the eighteenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.71 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.69 Å. In the nineteenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one NdN5O2 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.78 Å. In the twentieth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one NdN5O2 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.78 Å. There are thirty-four inequivalent N3- sites. In the first N3- site, N3- is bonded in a 2-coordinate geometry to two Nd3+ and two Si4+ atoms. In the second N3- site, N3- is bonded in a 2-coordinate geometry to two Nd3+ and two Si4+ atoms. In the third N3- site, N3- is bonded in a 4-coordinate geometry to two Nd3+ and two Si4+ atoms. In the fourth N3- site, N3- is bonded in a distorted linear geometry to three Nd3+ and two Si4+ atoms. In the fifth N3- site, N3- is bonded in a distorted linear geometry to three Nd3+ and two Si4+ atoms. In the sixth N3- site, N3- is bonded in a distorted trigonal pyramidal geometry to two Nd3+ and two Si4+ atoms. In the seventh N3- site, N3- is bonded in a 4-coordinate geometry to two Nd3+ and two Si4+ atoms. In the eighth N3- site, N3- is bonded to two Nd3+ and two Si4+ atoms to form distorted NNd2Si2 trigonal pyramids that share a cornercorner with one NNd3Si tetrahedra and a cornercorner with one NNd2Si2 trigonal pyramid. In the ninth N3- site, N3- is bonded to two Nd3+ and two Si4+ atoms to form distorted NNd2Si2 trigonal pyramids that share corners with two NNd3Si tetrahedra and a cornercorner with one NNd2Si2 trigonal pyramid. In the tenth N3- site, N3- is bonded in a distorted linear geometry to three Nd3+ and two Si4+ atoms. In the eleventh N3- site, N3- is bonded in a distorted linear

36 MATERIALS SCIENCE↗

Materials Data on Sr5Li25La7Nb8O48 by Materials Project

Li25Sr5La7Nb8O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-five inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NbO6 octahedra, a cornercorner with one NbO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 42–52°. There are a spread of Li–O bond distances ranging from 1.92–2.12 Å. In the second Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.89–2.14 Å. In the third Li site, Li is bonded in a trigonal planar geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.83–1.91 Å. In the fourth Li site, Li is bonded in a 2-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.92–2.57 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 trigonal pyramid, and a faceface with one NbO6 trigonal bipyramid. The corner-sharing octahedral tilt angles are 26°. There are a spread of Li–O bond distances ranging from 1.89–2.00 Å. In the sixth Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.85–2.26 Å. In the seventh Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.94–2.07 Å. In the eighth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with two NbO6 trigonal bipyramids, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 36°. There are a spread of Li–O bond distances ranging from 1.83–2.17 Å. In the ninth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NbO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one NbO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 42–62°. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the tenth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one NbO6 octahedra, corners with two NbO6 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.85–2.02 Å. In the eleventh Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.84–2.51 Å. In the twelfth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with two NbO5 trigonal bipyramids, and an edgeedge with one NbO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.21 Å. In the thirteenth Li site, Li is bonded in a distorted trigonal planar geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.78–1.87 Å. In the fourteenth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.89–2.46 Å. In the fifteenth Li site, Li is bonded in a distorted trigonal non-coplanar geometry to three O atoms. There is two shorter (1.89 Å) and one longer (1.93 Å) Li–O bond length. In the sixteenth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.82–2.24 Å. In the seventeenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one NbO6 octahedra and a cornercorner with one NbO6 trigonal bipyramid. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the eighteenth Li site, Li is bonded in a trigonal non-coplanar geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.85–1.92 Å. In the nineteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three NbO6 trigonal bipyramids, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 67°. There are a spread of Li–O bond distances ranging from 1.91–2.21 Å. In the twentieth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with two NbO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–43°. There are a spread of Li–O bond distances ranging from 1.88–2.16 Å. In the twenty-first Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 40°. There are three shorter (1.87 Å) and one longer (2.19 Å) Li–O bond lengths. In the twenty-second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NbO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the twenty-third Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one NbO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one NbO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 24°. There are a spread of Li–O bond distances ranging from 1.87–2.19 Å. In the twenty-fourth Li site, Li is bonded in a 3-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.85–2.58 Å. In the twenty-fifth Li site, Li is bonded in a trigonal planar geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.92–1.96 Å. There are five inequivalent Sr sites. In the first Sr site, Sr is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.84 Å. In the second Sr site, Sr is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.99 Å. In the third Sr site, Sr is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.72 Å. In the fourth Sr site, Sr is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Sr–O bond distances ranging from 2.57–2.72 Å. In the fifth Sr site, Sr is bonded in a 5-coordinate geometry to six O atoms. There are a spread of Sr–O bond distances ranging from 2.39–3.02 Å. There are seven inequivalent La sites. In the first La site, La is bonded in a 6-coordinate geometry to six O atoms. There are a spread of La–O bond distances ranging from 2.36–2.56 Å. In the second La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.42–2.78 Å. In the third La site, La is bonded in a 6-coordinate geometry to six O atoms. There are a spread of La–O bond distances ranging from 2.36–2.61 Å. In the fourth La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.42–2.65 Å. In the fifth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.96 Å. In the sixth La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.33–2.69 Å. In the seventh La site, La is bonded in a 8-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.44–2.81 Å. There are eight inequivalent Nb sites. In the first Nb site, Nb is bonded to six O atoms to form distorted NbO6 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and a faceface with one LiO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 1.89–2.77 Å. In the second Nb site, Nb is bonded in a 5-coordinate geometry to six O atoms. There are a spread of Nb–O bond distances ranging from 1.89–2.71 Å. In the third Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Nb–O bond distances ranging from 1.97–2.15 Å. In the fourth Nb site, Nb is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Nb–O bond distances ranging from 1.87–2.10 Å. In the fifth Nb site, Nb is bonded to five O atoms to form distorted NbO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and a cornercorner with one LiO4 trigonal pyramid. There are a spread of Nb–O bond distances ranging from 1.86–2.04 Å. In the sixth Nb site, Nb is bonded to five O atoms to form distorted NbO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Nb–O bond distances ranging from 1.86–2.04 Å. In the seventh Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with three LiO4 tetrahedra and a cornercorner with one LiO4 trigonal pyramid. There are a spread of Nb–O bond distances ranging from 1.94–2.26 Å. In the eighth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with five LiO4 tetrahedra and corners with two LiO4 trigonal pyramids. There are a spread of Nb–O bond distances ranging from 1.97–2.15 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 5-coordinate geometry to two Li, two La, and one Nb atom. In the second O site, O is bonded in a 7-coordinate geometry to four Li, one Sr, one La, and one Nb atom. In the third O site, O is bonded in a 4-coordinate geometry to two Li, one La, and one Nb atom. In the fourth O site, O is bonded to one Li, two La, and one Nb atom to form distorted corner-sharing OLiLa2Nb tetrahedra. In the fifth O site, O is bonded to one Li, two La, and one Nb atom to form distorted OLiLa2Nb tetrahedra that share corners with four OLiLa2Nb tetrahedra and an edgeedge with one OSrLiLaNb tetrahedra. In the sixth O site, O is bonded in a 4-coordinate geometry to one Li, two La, and one Nb atom. In the seventh O site, O is bonded to one Li, two La, and one Nb atom to form distorted corner-sharing OLiLa2Nb tetrahedra. In the eighth O site, O is bonded to one Li, one Sr, one La, and one Nb atom to form distorted OSrLiLaNb tetrahedra that share corners with four OLiLa2Nb tetrahedra and an edgeedge with one OSrLiLaNb tetrahedra. In the ninth O site, O is bonded in a 4-coordinate geometry to two Li, one Sr, one La, and one Nb atom. In the tenth O site, O is bonded in a 4-coordinate geometry to two Li, one La, and one Nb atom. In the eleventh O site, O is bonded to one Li, two La, and one Nb atom to form distorted OLiLa2Nb tetrahedra that share corners with three OLiLa2Nb tetrahedra and edges with two OSrLiLaNb tetrahedra. In the twelfth O site, O is bonded in a 5-coordinate geometry to four Li and one La atom. In the thirteenth O site, O is bonded in a trigonal non-coplanar geometry to two La and one Nb atom. In the fourteenth O site, O is bonded in a 5-coordinate geometry to two Li, one Sr, one La, and one Nb atom. In the fifteenth O site, O is bonded t

36 MATERIALS SCIENCE↗

Materials Data on Na3MgZr(PO4)3 by Materials Project

Na3MgZr(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.65 Å. In the second Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–3.01 Å. In the third Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.65 Å. In the fourth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.47–3.03 Å. In the fifth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.66 Å. In the sixth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.46–2.67 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.68 Å. In the eighth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–2.92 Å. In the ninth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.67 Å. In the tenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–3.05 Å. In the eleventh Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.49–3.04 Å. In the twelfth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.47–2.69 Å. In the thirteenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.99 Å. In the fourteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.68 Å. In the fifteenth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.73 Å. In the sixteenth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.87 Å. In the seventeenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–3.05 Å. In the eighteenth Na1+ site, Na1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–3.07 Å. There are six inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.22 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.24 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.18 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.22 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.23 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.15 Å. There are six inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.05–2.19 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.15 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.16 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.05–2.15 Å. In the fifth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.18 Å. In the sixth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.18 Å. There are eighteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 29–36°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 33–36°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 28–34°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–41°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 17–39°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 32–36°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–41°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 32–36°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 33–38°. There is two shorter (1.52 Å) and two longer (1.59 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZrO6 octahedra and corners with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 18–43°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–40°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–39°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–41°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–35°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ZrO6 octahedra and corners with three MgO6 octahedra. The corner-sharing octahedra tilt angles range from 31–39°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–36°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the seventeenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 28–40°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eighteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MgO6 octahedra and corners with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–37°. There is two shorter (1.52 Å) and two longer (1.58 Å) P–O bond length. There are seventy-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Mg2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Zr4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded to three Na1+, one Mg2+, and one P5+ atom to form a mixture of distorted edge, corner, and face-sharing ONa3MgP trigonal bipyramids. In the t

36 MATERIALS SCIENCE↗

Materials Data on Ce10Si10BrN17O9 by Materials Project

Ce10Si10N17O9Br crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Ce3+ sites. In the first Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to five N3- and three O2- atoms. There are a spread of Ce–N bond distances ranging from 2.50–2.87 Å. There are a spread of Ce–O bond distances ranging from 2.48–2.60 Å. In the second Ce3+ site, Ce3+ is bonded to three N3- and four O2- atoms to form distorted CeN3O4 pentagonal bipyramids that share a cornercorner with one SiN3O tetrahedra, an edgeedge with one CeN5O2 pentagonal bipyramid, and edges with four SiN3O tetrahedra. There are a spread of Ce–N bond distances ranging from 2.49–2.61 Å. There are a spread of Ce–O bond distances ranging from 2.41–2.78 Å. In the third Ce3+ site, Ce3+ is bonded in a 6-coordinate geometry to four N3- and two O2- atoms. There are a spread of Ce–N bond distances ranging from 2.45–2.58 Å. There are one shorter (2.72 Å) and one longer (2.74 Å) Ce–O bond lengths. In the fourth Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to four N3-, three O2-, and one Br1- atom. There are a spread of Ce–N bond distances ranging from 2.33–2.70 Å. There are a spread of Ce–O bond distances ranging from 2.42–2.81 Å. The Ce–Br bond length is 3.26 Å. In the fifth Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to four N3-, three O2-, and one Br1- atom. There are a spread of Ce–N bond distances ranging from 2.36–2.71 Å. There are a spread of Ce–O bond distances ranging from 2.42–2.84 Å. The Ce–Br bond length is 3.29 Å. In the sixth Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to four N3-, three O2-, and one Br1- atom. There are a spread of Ce–N bond distances ranging from 2.36–2.76 Å. There are a spread of Ce–O bond distances ranging from 2.37–2.81 Å. The Ce–Br bond length is 3.28 Å. In the seventh Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to four N3-, three O2-, and one Br1- atom. There are a spread of Ce–N bond distances ranging from 2.37–2.73 Å. There are a spread of Ce–O bond distances ranging from 2.41–2.81 Å. The Ce–Br bond length is 3.29 Å. In the eighth Ce3+ site, Ce3+ is bonded in a 6-coordinate geometry to four N3- and two O2- atoms. There are a spread of Ce–N bond distances ranging from 2.45–2.60 Å. There are one shorter (2.75 Å) and one longer (2.78 Å) Ce–O bond lengths. In the ninth Ce3+ site, Ce3+ is bonded to three N3- and four O2- atoms to form distorted CeN3O4 pentagonal bipyramids that share a cornercorner with one SiN3O tetrahedra and edges with four SiN2O2 tetrahedra. There are a spread of Ce–N bond distances ranging from 2.32–2.63 Å. There are a spread of Ce–O bond distances ranging from 2.46–2.70 Å. In the tenth Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to four N3- and four O2- atoms. There are a spread of Ce–N bond distances ranging from 2.57–2.80 Å. There are a spread of Ce–O bond distances ranging from 2.49–2.60 Å. In the eleventh Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to four N3- and four O2- atoms. There are a spread of Ce–N bond distances ranging from 2.55–2.83 Å. There are a spread of Ce–O bond distances ranging from 2.49–2.59 Å. In the twelfth Ce3+ site, Ce3+ is bonded in a 7-coordinate geometry to four N3- and three O2- atoms. There are a spread of Ce–N bond distances ranging from 2.35–2.62 Å. There are a spread of Ce–O bond distances ranging from 2.50–2.86 Å. In the thirteenth Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to six N3- and two O2- atoms. There are a spread of Ce–N bond distances ranging from 2.42–3.01 Å. Both Ce–O bond lengths are 2.77 Å. In the fourteenth Ce3+ site, Ce3+ is bonded in a 7-coordinate geometry to four N3- and three O2- atoms. There are a spread of Ce–N bond distances ranging from 2.39–2.74 Å. There are a spread of Ce–O bond distances ranging from 2.41–2.77 Å. In the fifteenth Ce3+ site, Ce3+ is bonded in a 7-coordinate geometry to four N3- and three O2- atoms. There are a spread of Ce–N bond distances ranging from 2.37–2.76 Å. There are a spread of Ce–O bond distances ranging from 2.38–2.76 Å. In the sixteenth Ce3+ site, Ce3+ is bonded in a 7-coordinate geometry to five N3- and two O2- atoms. There are a spread of Ce–N bond distances ranging from 2.35–2.76 Å. There are one shorter (2.40 Å) and one longer (2.43 Å) Ce–O bond lengths. In the seventeenth Ce3+ site, Ce3+ is bonded in a 7-coordinate geometry to five N3- and two O2- atoms. There are a spread of Ce–N bond distances ranging from 2.37–2.76 Å. There are one shorter (2.41 Å) and one longer (2.44 Å) Ce–O bond lengths. In the eighteenth Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to six N3- and two O2- atoms. There are a spread of Ce–N bond distances ranging from 2.41–2.99 Å. There are one shorter (2.77 Å) and one longer (2.79 Å) Ce–O bond lengths. In the nineteenth Ce3+ site, Ce3+ is bonded to five N3- and two O2- atoms to form distorted CeN5O2 pentagonal bipyramids that share a cornercorner with one SiN2O2 tetrahedra, an edgeedge with one CeN3O4 pentagonal bipyramid, and edges with four SiN3O tetrahedra. There are a spread of Ce–N bond distances ranging from 2.38–2.65 Å. There are one shorter (2.69 Å) and one longer (2.71 Å) Ce–O bond lengths. In the twentieth Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to five N3- and three O2- atoms. There are a spread of Ce–N bond distances ranging from 2.50–2.85 Å. There are a spread of Ce–O bond distances ranging from 2.49–2.62 Å. There are twenty inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one CeN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.69–1.75 Å. The Si–O bond length is 1.67 Å. In the second Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one CeN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.74 Å. The Si–O bond length is 1.67 Å. In the third Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.73 Å. The Si–O bond length is 1.67 Å. In the fourth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.73 Å. The Si–O bond length is 1.68 Å. In the fifth Si4+ site, Si4+ is bonded to two N3- and two O2- atoms to form SiN2O2 tetrahedra that share corners with two SiN3O tetrahedra and edges with two CeN3O4 pentagonal bipyramids. There is one shorter (1.70 Å) and one longer (1.71 Å) Si–N bond length. There is one shorter (1.67 Å) and one longer (1.68 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded to two N3- and two O2- atoms to form SiN2O2 tetrahedra that share a cornercorner with one CeN5O2 pentagonal bipyramid, corners with two SiN4 tetrahedra, and edges with two CeN3O4 pentagonal bipyramids. There is one shorter (1.70 Å) and one longer (1.71 Å) Si–N bond length. Both Si–O bond lengths are 1.68 Å. In the seventh Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.71 Å) and two longer (1.72 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the eighth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.70 Å) and two longer (1.72 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the ninth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one CeN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.78 Å. In the tenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one CeN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.74 Å. The Si–O bond length is 1.67 Å. In the eleventh Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.74 Å. The Si–O bond length is 1.67 Å. In the twelfth Si4+ site, Si4+ is bonded to four N3- atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.78 Å. In the thirteenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.71 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the fourteenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.70 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the fifteenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form SiN3O tetrahedra that share a cornercorner with one CeN3O4 pentagonal bipyramid, corners with two SiN3O tetrahedra, and an edgeedge with one CeN5O2 pentagonal bipyramid. All Si–N bond lengths are 1.73 Å. The Si–O bond length is 1.70 Å. In the sixteenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form SiN3O tetrahedra that share a cornercorner with one CeN3O4 pentagonal bipyramid, corners with two SiN4 tetrahedra, and an edgeedge with one CeN5O2 pentagonal bipyramid. All Si–N bond lengths are 1.72 Å. The Si–O bond length is 1.72 Å. In the seventeenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.70 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the eighteenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.70 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the nineteenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one CeN5O2 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.77 Å. In the twentieth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one CeN5O2 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.77 Å. There are thirty-four inequivalent N3- sites. In the first N3- site, N3- is bonded in a 2-coordinate geometry to three Ce3+ and two Si4+ atoms. In the second N3- site, N3- is bonded in a 2-coordinate geometry to three Ce3+ and two Si4+ atoms. In the third N3- site, N3- is bonded in a 4-coordinate geometry to two Ce3+ and two Si4+ atoms. In the fourth N3- site, N3- is bonded in a distorted linear geometry to three Ce3+ and two Si4+ atoms. In the fifth N3- site, N3- is bonded in a distorted linear geometry to three Ce3+ and two Si4+ atoms. In the sixth N3- site, N3- is bonded in a distorted trigonal pyramidal geometry to two Ce3+ and two Si4+ atoms. In the seventh N3- site, N3- is bonded in a 4-coordinate geometry to two Ce3+ and two Si4+ atoms. In the eighth N3- site, N3- is bonded to two Ce3+ and two Si4+ atoms to form distorted NCe2Si2 trigonal pyramids that share a cornercorner with one NCe3Si tetrahedra and a cornercorner with one NCe2Si2 trigonal pyramid. In the ninth N3- site, N3- is bonded to two Ce3+ and two Si4+ atoms to form distorted NCe2Si2 trigonal pyramids that share corners with two NCe3Si tetrahedra and a cornercorner with one NCe2Si2 trigonal pyramid. In the tenth N3- site, N3- is bonded in a distorted linear geometry to three Ce3+ and two Si4+ atoms. In the eleventh N3- site, N3- is bonded in a distorted linear geometry to three Ce3+ and two Si4+ atoms. In

36 MATERIALS SCIENCE↗

Materials Data on B84O11 by Materials Project

B84O11 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighty-four inequivalent B sites. In the first B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.70–1.84 Å. In the second B site, B is bonded in a single-bond geometry to three B and one O atom. There are a spread of B–B bond distances ranging from 1.77–1.81 Å. The B–O bond length is 1.50 Å. In the third B site, B is bonded in a single-bond geometry to four B and one O atom. There are a spread of B–B bond distances ranging from 1.76–1.80 Å. The B–O bond length is 1.48 Å. In the fourth B site, B is bonded in a 7-coordinate geometry to seven B atoms. There are a spread of B–B bond distances ranging from 1.78–2.28 Å. In the fifth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.76–1.79 Å. In the sixth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.68–1.83 Å. In the seventh B site, B is bonded in a single-bond geometry to four B and one O atom. There are a spread of B–B bond distances ranging from 1.76–1.81 Å. The B–O bond length is 1.48 Å. In the eighth B site, B is bonded in a 7-coordinate geometry to seven B atoms. There are a spread of B–B bond distances ranging from 1.79–2.29 Å. In the ninth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.71–1.82 Å. In the tenth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.68–1.84 Å. In the eleventh B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.77–1.83 Å. In the twelfth B site, B is bonded in a 6-coordinate geometry to six B atoms. There is one shorter (1.76 Å) and one longer (1.77 Å) B–B bond length. In the thirteenth B site, B is bonded in a single-bond geometry to three B and one O atom. The B–B bond length is 1.77 Å. The B–O bond length is 1.50 Å. In the fourteenth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.69–1.80 Å. In the fifteenth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.69–1.84 Å. In the sixteenth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.71–1.80 Å. In the seventeenth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.69–1.81 Å. In the eighteenth B site, B is bonded in a single-bond geometry to three B and one O atom. There is one shorter (1.76 Å) and one longer (1.81 Å) B–B bond length. The B–O bond length is 1.49 Å. In the nineteenth B site, B is bonded in a single-bond geometry to three B and one O atom. There is two shorter (1.77 Å) and one longer (1.81 Å) B–B bond length. The B–O bond length is 1.49 Å. In the twentieth B site, B is bonded in a 7-coordinate geometry to seven B atoms. There are a spread of B–B bond distances ranging from 1.78–1.86 Å. In the twenty-first B site, B is bonded in a single-bond geometry to five B and one O atom. There are a spread of B–B bond distances ranging from 1.76–1.80 Å. The B–O bond length is 1.47 Å. In the twenty-second B site, B is bonded in a single-bond geometry to four B and one O atom. The B–O bond length is 1.48 Å. In the twenty-third B site, B is bonded in a single-bond geometry to four B and one O atom. The B–O bond length is 1.48 Å. In the twenty-fourth B site, B is bonded in a single-bond geometry to three B and one O atom. The B–O bond length is 1.49 Å. In the twenty-fifth B site, B is bonded in a 7-coordinate geometry to seven B atoms. There are a spread of B–B bond distances ranging from 1.78–2.25 Å. In the twenty-sixth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.76–1.78 Å. In the twenty-seventh B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.76–1.80 Å. In the twenty-eighth B site, B is bonded in a 6-coordinate geometry to six B atoms. There is two shorter (1.78 Å) and one longer (1.85 Å) B–B bond length. In the twenty-ninth B site, B is bonded in a 6-coordinate geometry to six B atoms. The B–B bond length is 1.77 Å. In the thirtieth B site, B is bonded in a single-bond geometry to three B and one O atom. The B–B bond length is 1.81 Å. The B–O bond length is 1.49 Å. In the thirty-first B site, B is bonded in a 7-coordinate geometry to seven B atoms. There are a spread of B–B bond distances ranging from 1.78–2.28 Å. In the thirty-second B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.70–1.81 Å. In the thirty-third B site, B is bonded in a 6-coordinate geometry to six B atoms. There is one shorter (1.77 Å) and one longer (1.79 Å) B–B bond length. In the thirty-fourth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.70–1.78 Å. In the thirty-fifth B site, B is bonded in a single-bond geometry to four B and one O atom. The B–B bond length is 1.77 Å. The B–O bond length is 1.47 Å. In the thirty-sixth B site, B is bonded in a single-bond geometry to four B and one O atom. The B–B bond length is 1.77 Å. The B–O bond length is 1.48 Å. In the thirty-seventh B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.71–1.80 Å. In the thirty-eighth B site, B is bonded in a 6-coordinate geometry to six B atoms. There is one shorter (1.69 Å) and one longer (1.76 Å) B–B bond length. In the thirty-ninth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.70–1.81 Å. In the fortieth B site, B is bonded in a single-bond geometry to three B and one O atom. There is two shorter (1.76 Å) and one longer (1.81 Å) B–B bond length. The B–O bond length is 1.48 Å. In the forty-first B site, B is bonded in a 7-coordinate geometry to seven B atoms. There are a spread of B–B bond distances ranging from 1.78–1.84 Å. In the forty-second B site, B is bonded in a single-bond geometry to three B and one O atom. There are a spread of B–B bond distances ranging from 1.77–1.80 Å. The B–O bond length is 1.49 Å. In the forty-third B site, B is bonded in a single-bond geometry to four B and one O atom. The B–O bond length is 1.47 Å. In the forty-fourth B site, B is bonded in a single-bond geometry to four B and one O atom. The B–O bond length is 1.47 Å. In the forty-fifth B site, B is bonded in a single-bond geometry to three B and one O atom. The B–O bond length is 1.49 Å. In the forty-sixth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.77–1.79 Å. In the forty-seventh B site, B is bonded in a 6-coordinate geometry to six B atoms. There is one shorter (1.76 Å) and two longer (1.77 Å) B–B bond length. In the forty-eighth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.76–1.80 Å. In the forty-ninth B site, B is bonded in a single-bond geometry to four B and one O atom. There are a spread of B–B bond distances ranging from 1.76–1.80 Å. The B–O bond length is 1.48 Å. In the fiftieth B site, B is bonded in a single-bond geometry to three B and one O atom. There is one shorter (1.76 Å) and one longer (1.81 Å) B–B bond length. The B–O bond length is 1.48 Å. In the fifty-first B site, B is bonded in a 6-coordinate geometry to six B atoms. There is two shorter (1.78 Å) and one longer (1.81 Å) B–B bond length. In the fifty-second B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.68–1.80 Å. In the fifty-third B site, B is bonded in a 6-coordinate geometry to six B atoms. There is one shorter (1.76 Å) and one longer (1.84 Å) B–B bond length. In the fifty-fourth B site, B is bonded in a single-bond geometry to four B and one O atom. There is one shorter (1.76 Å) and one longer (1.77 Å) B–B bond length. The B–O bond length is 1.48 Å. In the fifty-fifth B site, B is bonded in a single-bond geometry to three B and one O atom. The B–B bond length is 1.79 Å. The B–O bond length is 1.48 Å. In the fifty-sixth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.68–1.82 Å. In the fifty-seventh B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.70–1.82 Å. In the fifty-eighth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.70–1.80 Å. In the fifty-ninth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.69–1.85 Å. In the sixtieth B site, B is bonded in a single-bond geometry to four B and one O atom. There are a spread of B–B bond distances ranging from 1.76–1.80 Å. The B–O bond length is 1.47 Å. In the sixty-first B site, B is bonded in a single-bond geometry to four B and one O atom. There is one shorter (1.76 Å) and one longer (1.77 Å) B–B bond length. The B–O bond length is 1.47 Å. In the sixty-second B site, B is bonded in a single-bond geometry to four B and one O atom. There are a spread of B–B bond distances ranging from 1.76–1.81 Å. The B–O bond length is 1.48 Å. In the sixty-third B site, B is bonded in a single-bond geometry to three B and one O atom. There are a spread of B–B bond distances ranging from 1.77–1.81 Å. The B–O bond length is 1.49 Å. In the sixty-fourth B site, B is bonded in a 7-coordinate geometry to seven B atoms. There are a spread of B–B bond distances ranging from 1.78–2.27 Å. In the sixty-fifth B site, B is bonded in a single-bond geometry to three B and one O atom. The B–B bond length is 1.76 Å. The B–O bond length is 1.48 Å. In the sixty-sixth B site, B is bonded in a single-bond geometry to three B and one O atom. The B–O bond length is 1.49 Å. In the sixty-seventh B site, B is bonded in a single-bond geometry to four B and one O atom. The B–O bond length is 1.48 Å. In the sixty-eighth B site, B is bonded in a 6-coordinate geometry to six B atoms. The B–B bond length is 1.77 Å. In the sixty-ninth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.77–1.84 Å. In the seventieth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.76–1.78 Å. In the seventy-first B site, B is bonded in a 6-coordinate geometry to six B atoms. There is one shorter (1.80 Å) and one longer (1.84 Å) B–B bond length. In the seventy-second B site, B is bonded in a single-bond geometry to three B and one O atom. There is one shorter (1.78 Å) and one longer (1.82 Å) B–B bond length. The B–O bond length is 1.49 Å. In the seventy-third B site, B is bonded in a 6-coordinate geometry to six B atoms. There is one shorter (1.71 Å) and one longer (1.80 Å) B–B bond length. In the seventy-fourth B site, B is bonded in a 6-coordinate geometry to six B atoms. There are a spread of B–B bond distances ranging from 1.69–1.83 Å. In the seventy-fifth B site, B is bonded in a 6-coordinate geometry to six B atoms. In the seventy-sixth B site, B is bonded in a 6-coordinate geometry to six B atoms. There is one shorter (1.77 Å) and one longer (1.78 Å) B–B bond length. In the seventy-seventh B site, B is bonded in a 7-coordinate geometry to seven B atoms. There are a spread of B–B bond distances ranging from 1.79–2.28 Å. In the se

36 MATERIALS SCIENCE↗

Materials Data on K8Li31Al8O32 by Materials Project

K8Li31Al8O32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent K sites. In the first K site, K is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of K–O bond distances ranging from 2.87–3.26 Å. In the second K site, K is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.89–3.18 Å. In the third K site, K is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.83–3.19 Å. In the fourth K site, K is bonded in a 2-coordinate geometry to five O atoms. There are a spread of K–O bond distances ranging from 2.76–3.21 Å. In the fifth K site, K is bonded in a 6-coordinate geometry to six O atoms. There are a spread of K–O bond distances ranging from 2.85–3.06 Å. In the sixth K site, K is bonded in a 2-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.89–3.18 Å. In the seventh K site, K is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.82–3.22 Å. In the eighth K site, K is bonded in a 5-coordinate geometry to five O atoms. There are a spread of K–O bond distances ranging from 2.85–3.11 Å. There are thirty-one inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with six LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.91–2.16 Å. In the second Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.91–2.34 Å. In the third Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 2.01–2.24 Å. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with seven LiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.87–2.06 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with six LiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, edges with three LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.10 Å. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two equivalent AlO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one AlO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the seventh Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.87–2.16 Å. In the eighth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two equivalent AlO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the ninth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two equivalent AlO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one AlO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the tenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two equivalent AlO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one AlO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.12 Å. In the eleventh Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.84–2.23 Å. In the twelfth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.93–2.11 Å. In the thirteenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with six LiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.87–2.08 Å. In the fourteenth Li site, Li is bonded in a 3-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.92–2.45 Å. In the fifteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with six LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.92–2.16 Å. In the sixteenth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with two AlO4 tetrahedra, corners with six LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one AlO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–2.12 Å. In the seventeenth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 2.00–2.21 Å. In the eighteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one AlO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.17 Å. In the nineteenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with three LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one AlO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.85–2.06 Å. In the twentieth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with two AlO4 tetrahedra, corners with five LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one AlO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–2.16 Å. In the twenty-first Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two equivalent AlO4 tetrahedra, corners with three LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one AlO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.19 Å. In the twenty-second Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with three LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one AlO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.87–2.14 Å. In the twenty-third Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two equivalent AlO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.92–2.04 Å. In the twenty-fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two equivalent AlO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.91–2.03 Å. In the twenty-fifth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with three LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one AlO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.87–2.13 Å. In the twenty-sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two equivalent AlO4 tetrahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one AlO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.10 Å. In the twenty-seventh Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with two AlO4 tetrahedra, corners with six LiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–2.16 Å. In the twenty-eighth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with five LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one AlO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.87–2.06 Å. In the twenty-ninth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.96–2.25 Å. In the thirtieth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.96–2.39 Å. In the thirty-first Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with five LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one AlO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.91–2.14 Å. There are eight inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four LiO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.80 Å. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with seven LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with four LiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.76–1.81 Å. In the third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with five LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and edges with three LiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.77–1.81 Å. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with five LiO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.77–1.80 Å. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahed

36 MATERIALS SCIENCE↗

Materials Data on LiMn2O4 by Materials Project

LiMn2O4 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are two shorter (1.97 Å) and two longer (2.07 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are two shorter (1.98 Å) and two longer (2.07 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 2.01–2.08 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are two shorter (2.00 Å) and two longer (2.08 Å) Li–O bond lengths. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There is three shorter (1.97 Å) and one longer (1.98 Å) Li–O bond length. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 2.00–2.08 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 2.01–2.08 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are two shorter (1.97 Å) and two longer (2.07 Å) Li–O bond lengths. In the fifteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the sixteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the seventeenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. All Li–O bond lengths are 1.97 Å. In the eighteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. There are thirty-six inequivalent Mn+3.50+ sites. In the first Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the second Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.16 Å. In the third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.16 Å. In the fourth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the sixth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.15 Å. In the eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the ninth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.14 Å. In the tenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.15 Å. In the eleventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.15 Å. In the twelfth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the thirteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the fourteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the fifteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.15 Å. In the sixteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the seventeenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the eighteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.21 Å. In the nineteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the twentieth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.13 Å. In the twenty-first Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.12 Å. In the twenty-second Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.14 Å. In the twenty-third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.14 Å. In the twenty-fourth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.22 Å. In the twenty-fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.12 Å. In the twenty-sixth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.21 Å. In the twenty-seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.21 Å. In the twenty-eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.15 Å. In the twenty-ninth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the thirtieth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In

36 MATERIALS SCIENCE↗

Materials Data on Na20Zr11Si10(PO9)8 by Materials Project

Na20Zr11Si10(PO9)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Na sites. In the first Na site, Na is bonded to four O atoms to form distorted NaO4 tetrahedra that share a cornercorner with one ZrO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with three SiO4 tetrahedra, and an edgeedge with one ZrO6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Na–O bond distances ranging from 2.25–2.46 Å. In the second Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.18–2.91 Å. In the third Na site, Na is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.19–2.74 Å. In the fourth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.19–2.82 Å. In the fifth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.43–2.85 Å. In the sixth Na site, Na is bonded in a distorted trigonal non-coplanar geometry to three O atoms. There are a spread of Na–O bond distances ranging from 2.22–2.33 Å. In the seventh Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.47–2.95 Å. In the eighth Na site, Na is bonded in a 1-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.32–2.72 Å. In the ninth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.45–2.79 Å. In the tenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.44–2.86 Å. In the eleventh Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.17–2.76 Å. In the twelfth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.42–2.89 Å. In the thirteenth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.29–2.53 Å. In the fourteenth Na site, Na is bonded in a 6-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.41–2.66 Å. In the fifteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.38–2.83 Å. In the sixteenth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.40–2.88 Å. In the seventeenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.38–2.94 Å. In the eighteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.42–2.99 Å. In the nineteenth Na site, Na is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.40–2.80 Å. In the twentieth Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.42–2.70 Å. There are eleven inequivalent Zr sites. In the first Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with two PO4 tetrahedra, and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.19 Å. In the second Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.21 Å. In the third Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.24 Å. In the fourth Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.93–2.33 Å. In the fifth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra, corners with four SiO4 tetrahedra, and an edgeedge with one NaO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.05–2.23 Å. In the sixth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.18 Å. In the seventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.22 Å. In the eighth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.26 Å. In the ninth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.24 Å. In the tenth Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.35 Å. In the eleventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.27 Å. There are ten inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three ZrO6 octahedra and a cornercorner with one NaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–42°. There are a spread of Si–O bond distances ranging from 1.59–1.71 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three ZrO6 octahedra and a cornercorner with one NaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–50°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 9–41°. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–43°. There is two shorter (1.64 Å) and two longer (1.65 Å) Si–O bond length. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three ZrO6 octahedra and a cornercorner with one NaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–41°. There are a spread of Si–O bond distances ranging from 1.57–1.71 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–43°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–40°. There is one shorter (1.63 Å) and three longer (1.65 Å) Si–O bond length. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 11–43°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–44°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. There are eight inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three ZrO6 octahedra and a cornercorner with one NaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 18–28°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 10–46°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 17–36°. There is one shorter (1.54 Å) and three longer (1.56 Å) P–O bond length. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–42°. There is three shorter (1.55 Å) and one longer (1.57 Å) P–O bond length. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 16–41°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–35°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 13–44°. There is three shorter (1.55 Å) and one longer (1.57 Å) P–O bond length. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–37°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. There are seventy-two inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the second O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the third O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the fourth O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the sixth O site, O is bonded in a distorted trigonal planar geometry to one Na, one Zr, and one Si atom. In the seventh O site, O is bonded in a 3-coordinate geometry to three Na and one Si atom. In the eighth O site, O is bonded to four Na and one Si atom to form distorted edge-sharing ONa4Si trigonal bipyramids. In the ninth O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the tenth O site, O is bonded in a distorted see-saw-like geometry to three Na and one Si atom. In the eleventh O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the twelfth O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one

36 MATERIALS SCIENCE↗

Materials Data on Na17Zr12Si11P7O72 by Materials Project

Na17Zr12Si11P7O72 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Na sites. In the first Na site, Na is bonded in a distorted pentagonal planar geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.35–2.56 Å. In the second Na site, Na is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.40–3.04 Å. In the third Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.50–2.86 Å. In the fourth Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.43–2.59 Å. In the fifth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.47–2.86 Å. In the sixth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.45–2.71 Å. In the seventh Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.34–3.01 Å. In the eighth Na site, Na is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Na–O bond distances ranging from 2.51–2.93 Å. In the ninth Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.48–2.64 Å. In the tenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.35–2.86 Å. In the eleventh Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.34–2.98 Å. In the twelfth Na site, Na is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Na–O bond distances ranging from 2.46–2.85 Å. In the thirteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.35–2.98 Å. In the fourteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.34–2.84 Å. In the fifteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.39–2.76 Å. In the sixteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.36–2.80 Å. In the seventeenth Na site, Na is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Na–O bond distances ranging from 2.35–2.42 Å. There are twelve inequivalent Zr sites. In the first Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.30 Å. In the second Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.23 Å. In the third Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.26 Å. In the fourth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.27 Å. In the fifth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.23 Å. In the sixth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.29 Å. In the seventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.28 Å. In the eighth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.26 Å. In the ninth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.30 Å. In the tenth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.26 Å. In the eleventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.28 Å. In the twelfth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with three SiO4 tetrahedra and corners with three PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.25 Å. There are eleven inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–41°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–37°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–30°. There is three shorter (1.63 Å) and one longer (1.65 Å) Si–O bond length. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–43°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–34°. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 28–39°. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 29–36°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–42°. There is two shorter (1.63 Å) and two longer (1.66 Å) Si–O bond length. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–35°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–34°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–36°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. There are seven inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–34°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–34°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–41°. There is two shorter (1.55 Å) and two longer (1.57 Å) P–O bond length. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–34°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 18–35°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–42°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–36°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are seventy-two inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one P atom. In the second O site, O is bonded in a distorted bent 150 degrees geometry to one Zr and one P atom. In the third O site, O is bonded in a distorted T-shaped geometry to one Na, one Zr, and one Si atom. In the fourth O site, O is bonded in a 1-coordinate geometry to two Na, one Zr, and one P atom. In the fifth O site, O is bonded in a distorted T-shaped geometry to one Na, one Zr, and one Si atom. In the sixth O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the seventh O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the eighth O site, O is bonded in a 4-coordinate geometry to two Na, one Zr, and one Si atom. In the ninth O site, O is bonded in a distorted T-shaped geometry to one Na, one Zr, and one Si atom. In the tenth O site, O is bonded in a 3-coordinate geometry to one Na, one Zr, and one Si atom. In the eleventh O site, O is bonded in a distorted trigonal bipyramidal geometry to three Na, one Zr, and one Si atom. In the twelfth O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one P atom. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to one Na, one Zr, and one Si atom. In the fourteenth O site, O is bonded in a 2-coordinate geometry to one Na, one Zr, and one P atom. In the fifteenth O site, O is bonded in a distorted T-shaped geometry to one Na, one Zr, and one Si atom. In the sixteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Zr, and one Si atom. In the seventeenth O site, O is bonded in a 5-coordinate geometry to three Na, one Zr, and one Si atom. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the nineteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na, one Zr, and one P atom. In the twentieth O site, O is

36 MATERIALS SCIENCE↗

Materials Data on LiFe5O8 by Materials Project

LiFe5O8 is Spinel-like structured and 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 to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.12 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.03–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.14 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.16 Å. There are forty inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Fe–O bond distances ranging from 1.88–2.00 Å. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.83–1.99 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three LiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.90–2.18 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.10 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.06 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.01 Å. In the seventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four LiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Fe–O bond distances ranging from 1.92–1.94 Å. In the eighth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four LiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–65°. There is one shorter (1.92 Å) and three longer (1.93 Å) Fe–O bond length. In the ninth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Fe–O bond distances ranging from 1.91–1.93 Å. In the tenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Fe–O bond distances ranging from 1.91–1.98 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.11 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three LiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.17 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.00 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three LiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.10 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three LiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.14 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.01 Å. In the seventeenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Fe–O bond distances ranging from 1.91–1.98 Å. In the eighteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Fe–O bond distances ranging from 1.87–1.99 Å. In the nineteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–61°. There are a spread of Fe–O bond distances ranging from 1.84–1.99 Å. In the twentieth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Fe–O bond distances ranging from 1.89–1.99 Å. In the twenty-first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.01 Å. In the twenty-second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.12 Å. In the twenty-third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.07 Å. In the twenty-fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–1.99 Å. In the twenty-fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.12 Å. In the twenty-sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–1.99 Å. In the twenty-seventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.89–1.96 Å. In the twenty-eighth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Fe–O bond distances ranging from 1.91–1.96 Å. In the twenty-ninth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Fe–O bond distances ranging from 1.89–1.92 Å. In the thirtieth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Fe–O bond distances ranging from 1.89–1.97 Å. In the thirty-first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.07 Å. In the thirty-second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.05 Å. In the thirty-third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the thirty-fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.00 Å. In the thirty-fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.02 Å. In the thirty-sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra t

36 MATERIALS SCIENCE↗

Materials Data on Li6Zn3(PS4)4 by Materials Project

Li6Zn3(PS4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with three ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.51–2.63 Å. In the second Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.53–2.67 Å. In the third Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.52–2.68 Å. In the fourth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.55–2.64 Å. In the fifth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.46–2.51 Å. In the sixth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.49 Å. In the seventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.48 Å. In the eighth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.50 Å. In the ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.47–2.49 Å. In the tenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with four ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.48 Å. In the eleventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.46 Å. In the twelfth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.45 Å. In the thirteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.43–2.48 Å. In the fourteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.49 Å. In the fifteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.45 Å. In the sixteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.52 Å. In the seventeenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.36–2.50 Å. In the eighteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.46 Å. In the nineteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.45–2.50 Å. In the twentieth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.48 Å. In the twenty-first Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.45 Å. In the twenty-second Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.41 Å. In the twenty-third Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.44 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.44 Å. There are twelve inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.39 Å. In the second Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are one shorter (2.35 Å) and three longer (2.38 Å) Zn–S bond lengths. In the third Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.40 Å. In the fourth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.38 Å. In the fifth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.39 Å. In the sixth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.34–2.41 Å. In the seventh Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.39 Å. In the eighth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.34–2.41 Å. In the ninth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.40 Å. In the tenth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.33–2.40 Å. In the eleventh Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.34–2.38 Å. In the twelfth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.36–2.40 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are two shorter (2.06 Å) and two longer (2.07 Å) P–S bond lengths. In the second P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are two shorter (2.06 Å) and two longer (2.07 Å) P–S bond lengths. In the third P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.02–2.08 Å. In the fourth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four ZnS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.07 Å) P–S bond lengths. In the fifth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with five LiS4 tetrahedra. There are three shorter (2.06 Å) and one longer (2.10 Å) P–S bond lengths. In the sixth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with four ZnS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.05–2.10 Å. In the seventh P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra and corners with nine LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.03–2.08 Å. In the eighth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.01–2.10 Å. In the ninth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two ZnS4 tetrahedra and corners with eight LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.05–2.07 Å. In the tenth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with three ZnS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.04–2.11 Å. In the eleventh P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two ZnS4 tetrahedra and corners with eight LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.05–2.07 Å. In the twelfth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahe

36 MATERIALS SCIENCE↗

Materials Data on Li4Zn(PS4)2 by Materials Project

Li4Zn(PS4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.52–2.66 Å. In the second Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with eight LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.54–2.71 Å. In the third Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.52–2.64 Å. In the fourth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.52–2.64 Å. In the fifth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.50–2.63 Å. In the sixth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.54–2.75 Å. In the seventh Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.52–2.67 Å. In the eighth Li1+ site, Li1+ is bonded to four S2- atoms to form distorted LiS4 tetrahedra that share corners with three ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with five LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.53–2.61 Å. In the ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.43 Å. In the tenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.46 Å. In the eleventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.40–2.45 Å. In the twelfth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.45 Å. In the thirteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with eight LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.41 Å. In the fourteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.44 Å. In the fifteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.38–2.45 Å. In the sixteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.43 Å. In the seventeenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.51 Å. In the eighteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.48 Å. In the nineteenth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.45 Å. In the twentieth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.45 Å. In the twenty-first Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with six LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.46 Å. In the twenty-second Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra, corners with four PS4 tetrahedra, and corners with seven LiS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.38–2.42 Å. In the twenty-third Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with three LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.51 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with three LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.52 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.39–2.45 Å. In the twenty-sixth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.45 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.37–2.48 Å. In the twenty-eighth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.42–2.50 Å. In the twenty-ninth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.44–2.47 Å. In the thirtieth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with three LiS4 tetrahedra, corners with three ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are three shorter (2.42 Å) and one longer (2.43 Å) Li–S bond lengths. In the thirty-first Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two LiS4 tetrahedra, corners with two ZnS4 tetrahedra, and corners with four PS4 tetrahedra. There are a spread of Li–S bond distances ranging from 2.41–2.51 Å. In the thirty-second Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with two ZnS4 tetrahedra, corners with four LiS4 tetrahedra, and corners with four PS4 tetrahedra. There are two shorter (2.41 Å) and two longer (2.52 Å) Li–S bond lengths. There are eight inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with eight LiS4 tetrahedra. There are three shorter (2.35 Å) and one longer (2.37 Å) Zn–S bond lengths. In the second Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.39 Å. In the third Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.35–2.39 Å. In the fourth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.33–2.41 Å. In the fifth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.34–2.40 Å. In the sixth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four LiS4 tetrahedra and corners with four PS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.38–2.40 Å. In the seventh Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with five LiS4 tetrahedra. There are two shorter (2.36 Å) and two longer (2.39 Å) Zn–S bond lengths. In the eighth Zn2+ site, Zn2+ is bonded to four S2- atoms to form ZnS4 tetrahedra that share corners with four PS4 tetrahedra and corners with six LiS4 tetrahedra. There are a spread of Zn–S bond distances ranging from 2.34–2.39 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra and corners with ten LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.01–2.12 Å. In the second P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with two ZnS4 tetrahedra and corners with nine LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.04–2.11 Å. In the third P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra and corners with nine LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.02–2.09 Å. In the fourth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra and corners with nine LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.02–2.09 Å. In the fifth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share corners with eleven LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.02–2.08 Å. In the sixth P5+ site, P5+ is bonded to four S2- atoms to form PS4 tetrahedra that share a cornercorner with one ZnS4 tetrahedra and corners with ten LiS4 tetrahedra. There are a spread of P–S bond distances ranging from 2.01–2.12 Å. In the seventh P5+ site,

36 MATERIALS SCIENCE↗

Materials Data on Fe4Ni5P3 by Materials Project

Fe4Ni5P3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Fe sites. In the first Fe site, Fe is bonded in a 2-coordinate geometry to five Ni and two P atoms. There are a spread of Fe–Ni bond distances ranging from 2.50–2.77 Å. There are one shorter (2.25 Å) and one longer (2.38 Å) Fe–P bond lengths. In the second Fe site, Fe is bonded in a 2-coordinate geometry to five Ni and two P atoms. There are a spread of Fe–Ni bond distances ranging from 2.50–2.77 Å. There are one shorter (2.24 Å) and one longer (2.38 Å) Fe–P bond lengths. In the third Fe site, Fe is bonded in a 2-coordinate geometry to five Ni and two P atoms. There are a spread of Fe–Ni bond distances ranging from 2.51–2.77 Å. There are one shorter (2.25 Å) and one longer (2.38 Å) Fe–P bond lengths. In the fourth Fe site, Fe is bonded in a 2-coordinate geometry to five Ni and two P atoms. There are a spread of Fe–Ni bond distances ranging from 2.49–2.78 Å. There are one shorter (2.25 Å) and one longer (2.37 Å) Fe–P bond lengths. In the fifth Fe site, Fe is bonded in a 2-coordinate geometry to five Ni and two P atoms. There are a spread of Fe–Ni bond distances ranging from 2.49–2.78 Å. There are one shorter (2.25 Å) and one longer (2.36 Å) Fe–P bond lengths. In the sixth Fe site, Fe is bonded in a 2-coordinate geometry to five Ni and two P atoms. There are a spread of Fe–Ni bond distances ranging from 2.50–2.77 Å. There are one shorter (2.25 Å) and one longer (2.37 Å) Fe–P bond lengths. In the seventh Fe site, Fe is bonded in a 2-coordinate geometry to five Ni and two P atoms. There are a spread of Fe–Ni bond distances ranging from 2.49–2.80 Å. There are one shorter (2.29 Å) and one longer (2.34 Å) Fe–P bond lengths. In the eighth Fe site, Fe is bonded in a 2-coordinate geometry to five Ni and two P atoms. There are a spread of Fe–Ni bond distances ranging from 2.50–2.76 Å. There are one shorter (2.27 Å) and one longer (2.35 Å) Fe–P bond lengths. In the ninth Fe site, Fe is bonded in a 2-coordinate geometry to five Ni and two P atoms. There are a spread of Fe–Ni bond distances ranging from 2.50–2.77 Å. There are one shorter (2.27 Å) and one longer (2.34 Å) Fe–P bond lengths. In the tenth Fe site, Fe is bonded in a 2-coordinate geometry to five Ni and two P atoms. There are a spread of Fe–Ni bond distances ranging from 2.49–2.79 Å. There are one shorter (2.28 Å) and one longer (2.34 Å) Fe–P bond lengths. In the eleventh Fe site, Fe is bonded in a 2-coordinate geometry to five Ni and two P atoms. There are a spread of Fe–Ni bond distances ranging from 2.49–2.79 Å. There are one shorter (2.29 Å) and one longer (2.35 Å) Fe–P bond lengths. In the twelfth Fe site, Fe is bonded in a 2-coordinate geometry to five Ni and two P atoms. There are a spread of Fe–Ni bond distances ranging from 2.49–2.79 Å. There are one shorter (2.29 Å) and one longer (2.35 Å) Fe–P bond lengths. In the thirteenth Fe site, Fe is bonded in a 4-coordinate geometry to three Ni and four P atoms. There are two shorter (2.53 Å) and one longer (2.62 Å) Fe–Ni bond lengths. There are a spread of Fe–P bond distances ranging from 2.27–2.33 Å. In the fourteenth Fe site, Fe is bonded in a 4-coordinate geometry to three Ni and four P atoms. There are a spread of Fe–Ni bond distances ranging from 2.52–2.61 Å. There are a spread of Fe–P bond distances ranging from 2.27–2.32 Å. In the fifteenth Fe site, Fe is bonded in a 4-coordinate geometry to three Ni and four P atoms. There are two shorter (2.52 Å) and one longer (2.61 Å) Fe–Ni bond lengths. There are a spread of Fe–P bond distances ranging from 2.28–2.31 Å. In the sixteenth Fe site, Fe is bonded in a 4-coordinate geometry to three Ni and four P atoms. There are two shorter (2.52 Å) and one longer (2.61 Å) Fe–Ni bond lengths. There are a spread of Fe–P bond distances ranging from 2.28–2.32 Å. There are twenty inequivalent Ni sites. In the first Ni site, Ni is bonded in a 3-coordinate geometry to seven Fe, three Ni, and three P atoms. There are one shorter (2.52 Å) and two longer (2.69 Å) Ni–Ni bond lengths. There are a spread of Ni–P bond distances ranging from 2.22–2.34 Å. In the second Ni site, Ni is bonded in a 3-coordinate geometry to six Fe, four Ni, and three P atoms. There are a spread of Ni–Ni bond distances ranging from 2.51–2.71 Å. There are a spread of Ni–P bond distances ranging from 2.22–2.33 Å. In the third Ni site, Ni is bonded in a 3-coordinate geometry to six Fe, four Ni, and three P atoms. There are a spread of Ni–Ni bond distances ranging from 2.51–2.71 Å. There are a spread of Ni–P bond distances ranging from 2.22–2.34 Å. In the fourth Ni site, Ni is bonded in a 3-coordinate geometry to six Fe, four Ni, and three P atoms. There are one shorter (2.51 Å) and one longer (2.61 Å) Ni–Ni bond lengths. There are a spread of Ni–P bond distances ranging from 2.21–2.35 Å. In the fifth Ni site, Ni is bonded in a 3-coordinate geometry to six Fe, four Ni, and three P atoms. There are one shorter (2.52 Å) and one longer (2.61 Å) Ni–Ni bond lengths. There are a spread of Ni–P bond distances ranging from 2.21–2.35 Å. In the sixth Ni site, Ni is bonded in a 3-coordinate geometry to seven Fe, three Ni, and three P atoms. The Ni–Ni bond length is 2.52 Å. There are a spread of Ni–P bond distances ranging from 2.21–2.35 Å. In the seventh Ni site, Ni is bonded in a 3-coordinate geometry to six Fe, four Ni, and three P atoms. There are a spread of Ni–Ni bond distances ranging from 2.54–2.70 Å. There are a spread of Ni–P bond distances ranging from 2.20–2.34 Å. In the eighth Ni site, Ni is bonded in a 4-coordinate geometry to five Fe, five Ni, and three P atoms. There are a spread of Ni–Ni bond distances ranging from 2.51–2.70 Å. There are a spread of Ni–P bond distances ranging from 2.21–2.34 Å. In the ninth Ni site, Ni is bonded in a 4-coordinate geometry to five Fe, five Ni, and three P atoms. There are a spread of Ni–Ni bond distances ranging from 2.51–2.70 Å. There are a spread of Ni–P bond distances ranging from 2.21–2.34 Å. In the tenth Ni site, Ni is bonded in a 3-coordinate geometry to six Fe, four Ni, and three P atoms. There are one shorter (2.53 Å) and one longer (2.62 Å) Ni–Ni bond lengths. There are a spread of Ni–P bond distances ranging from 2.21–2.34 Å. In the eleventh Ni site, Ni is bonded in a 3-coordinate geometry to six Fe, four Ni, and three P atoms. There are one shorter (2.54 Å) and one longer (2.62 Å) Ni–Ni bond lengths. There are a spread of Ni–P bond distances ranging from 2.21–2.34 Å. In the twelfth Ni site, Ni is bonded in a 3-coordinate geometry to six Fe, four Ni, and three P atoms. There are one shorter (2.54 Å) and one longer (2.62 Å) Ni–Ni bond lengths. There are a spread of Ni–P bond distances ranging from 2.21–2.34 Å. In the thirteenth Ni site, Ni is bonded in a 4-coordinate geometry to three Ni and four P atoms. There are a spread of Ni–P bond distances ranging from 2.28–2.33 Å. In the fourteenth Ni site, Ni is bonded in a 4-coordinate geometry to three Ni and four P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.32 Å. In the fifteenth Ni site, Ni is bonded in a 4-coordinate geometry to three Ni and four P atoms. There are a spread of Ni–P bond distances ranging from 2.28–2.32 Å. In the sixteenth Ni site, Ni is bonded in a 4-coordinate geometry to three Ni and four P atoms. There are a spread of Ni–P bond distances ranging from 2.28–2.33 Å. In the seventeenth Ni site, Ni is bonded in a 4-coordinate geometry to three Ni and four P atoms. There are a spread of Ni–P bond distances ranging from 2.28–2.33 Å. In the eighteenth Ni site, Ni is bonded in a 4-coordinate geometry to three Ni and four P atoms. There are a spread of Ni–P bond distances ranging from 2.28–2.32 Å. In the nineteenth Ni site, Ni is bonded in a 4-coordinate geometry to three Ni and four P atoms. There are a spread of Ni–P bond distances ranging from 2.28–2.32 Å. In the twentieth Ni site, Ni is bonded in a 4-coordinate geometry to three Ni and four P atoms. There are a spread of Ni–P bond distances ranging from 2.28–2.32 Å. There are twelve inequivalent P sites. In the first P site, P is bonded in a 9-coordinate geometry to four Fe and five Ni atoms. In the second P site, P is bonded in a 9-coordinate geometry to four Fe and five Ni atoms. In the third P site, P is bonded in a 9-coordinate geometry to four Fe and five Ni atoms. In the fourth P site, P is bonded in a 9-coordinate geometry to four Fe and five Ni atoms. In the fifth P site, P is bonded in a 9-coordinate geometry to two Fe and seven Ni atoms. In the sixth P site, P is bonded in a 9-coordinate geometry to two Fe and seven Ni atoms. In the seventh P site, P is bonded in a 9-coordinate geometry to four Fe and five Ni atoms. In the eighth P site, P is bonded in a 9-coordinate geometry to three Fe and six Ni atoms. In the ninth P site, P is bonded in a 9-coordinate geometry to three Fe and six Ni atoms. In the tenth P site, P is bonded in a 9-coordinate geometry to four Fe and five Ni atoms. In the eleventh P site, P is bonded in a 9-coordinate geometry to three Fe and six Ni atoms. In the twelfth P site, P is bonded in a 9-coordinate geometry to three Fe and six Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on Tl8Sb21As19(PbS17)4 by Materials Project

(Tl)7TlSb21As19(PbS17)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of seven thallium molecules and one TlSb21As19(PbS17)4 framework. In the TlSb21As19(PbS17)4 framework, Tl is bonded in a 1-coordinate geometry to one S atom. The Tl–S bond length is 3.26 Å. There are four inequivalent Pb sites. In the first Pb site, Pb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Pb–S bond distances ranging from 2.94–3.16 Å. In the second Pb site, Pb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Pb–S bond distances ranging from 2.83–3.30 Å. In the third Pb site, Pb is bonded in a 5-coordinate geometry to five S atoms. There are a spread of Pb–S bond distances ranging from 2.84–3.20 Å. In the fourth Pb site, Pb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Pb–S bond distances ranging from 2.90–3.23 Å. There are twenty-one inequivalent Sb sites. In the first Sb site, Sb is bonded in a rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.44–2.87 Å. In the second Sb site, Sb is bonded in a square pyramidal geometry to five S atoms. There are a spread of Sb–S bond distances ranging from 2.52–2.98 Å. In the third Sb site, Sb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.52–3.11 Å. In the fourth Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.94 Å. In the fifth Sb site, Sb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.51–2.95 Å. In the sixth Sb site, Sb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.52–3.10 Å. In the seventh Sb site, Sb is bonded in a distorted square pyramidal geometry to five S atoms. There are a spread of Sb–S bond distances ranging from 2.52–2.99 Å. In the eighth Sb site, Sb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Sb–S bond distances ranging from 2.52–3.19 Å. In the ninth Sb site, Sb is bonded in a 3-coordinate geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.54–3.14 Å. In the tenth Sb site, Sb is bonded in a 5-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.47–2.61 Å. In the eleventh Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.42–2.95 Å. In the twelfth Sb site, Sb is bonded in a distorted square pyramidal geometry to five S atoms. There are a spread of Sb–S bond distances ranging from 2.47–3.03 Å. In the thirteenth Sb site, Sb is bonded in a 5-coordinate geometry to five S atoms. There are a spread of Sb–S bond distances ranging from 2.49–3.11 Å. In the fourteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.54–2.60 Å. In the fifteenth Sb site, Sb is bonded in a distorted octahedral geometry to six S atoms. There are a spread of Sb–S bond distances ranging from 2.55–3.10 Å. In the sixteenth Sb site, Sb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.52–3.01 Å. In the seventeenth Sb site, Sb is bonded in a distorted octahedral geometry to six S atoms. There are a spread of Sb–S bond distances ranging from 2.57–3.06 Å. In the eighteenth Sb site, Sb is bonded in a 5-coordinate geometry to five S atoms. There are a spread of Sb–S bond distances ranging from 2.50–3.13 Å. In the nineteenth Sb site, Sb is bonded in a distorted square pyramidal geometry to five S atoms. There are a spread of Sb–S bond distances ranging from 2.46–3.04 Å. In the twentieth Sb site, Sb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.51–3.05 Å. In the twenty-first Sb site, Sb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.51–3.07 Å. There are nineteen inequivalent As sites. In the first As site, As is bonded in a distorted T-shaped geometry to three S atoms. There are one shorter (2.30 Å) and two longer (2.31 Å) As–S bond lengths. In the second As site, As is bonded in a distorted trigonal non-coplanar geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.24–2.37 Å. In the third As site, As is bonded in a distorted trigonal non-coplanar geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.29–2.34 Å. In the fourth As site, As is bonded in a distorted trigonal non-coplanar geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.26–2.37 Å. In the fifth As site, As is bonded in a distorted T-shaped geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.26–2.35 Å. In the sixth As site, As is bonded in a 3-coordinate geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.28–2.35 Å. In the seventh As site, As is bonded in a 3-coordinate geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.30–2.36 Å. In the eighth As site, As is bonded in a distorted T-shaped geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.26–2.37 Å. In the ninth As site, As is bonded in a 4-coordinate geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.25–2.42 Å. In the tenth As site, As is bonded in a trigonal non-coplanar geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.25–2.37 Å. In the eleventh As site, As is bonded in a 3-coordinate geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.24–2.39 Å. In the twelfth As site, As is bonded in a rectangular see-saw-like geometry to four S atoms. There are a spread of As–S bond distances ranging from 2.27–2.84 Å. In the thirteenth As site, As is bonded in a distorted trigonal non-coplanar geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.27–2.36 Å. In the fourteenth As site, As is bonded in a distorted trigonal non-coplanar geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.29–2.35 Å. In the fifteenth As site, As is bonded in a distorted T-shaped geometry to three S atoms. All As–S bond lengths are 2.31 Å. In the sixteenth As site, As is bonded in a distorted T-shaped geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.25–2.35 Å. In the seventeenth As site, As is bonded in a distorted T-shaped geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.30–2.32 Å. In the eighteenth As site, As is bonded in a distorted T-shaped geometry to three S atoms. There are two shorter (2.31 Å) and one longer (2.32 Å) As–S bond lengths. In the nineteenth As site, As is bonded in a distorted trigonal non-coplanar geometry to three S atoms. There are a spread of As–S bond distances ranging from 2.26–2.37 Å. There are sixty-eight inequivalent S sites. In the first S site, S is bonded in an L-shaped geometry to one Sb and one As atom. In the second S site, S is bonded in a 3-coordinate geometry to one Pb, one Sb, and one As atom. In the third S site, S is bonded in an L-shaped geometry to two Sb atoms. In the fourth S site, S is bonded in a distorted single-bond geometry to one Pb and one As atom. In the fifth S site, S is bonded in a distorted L-shaped geometry to one Sb and one As atom. In the sixth S site, S is bonded in an L-shaped geometry to two Sb atoms. In the seventh S site, S is bonded in a distorted trigonal non-coplanar geometry to two Sb and one As atom. In the eighth S site, S is bonded in a distorted water-like geometry to one Sb and two As atoms. In the ninth S site, S is bonded in a distorted L-shaped geometry to one Sb and one As atom. In the tenth S site, S is bonded in a distorted see-saw-like geometry to one Pb, two Sb, and one As atom. In the eleventh S site, S is bonded in a 3-coordinate geometry to two Sb and one As atom. In the twelfth S site, S is bonded in a water-like geometry to one Sb and one As atom. In the thirteenth S site, S is bonded in an L-shaped geometry to one Sb and one As atom. In the fourteenth S site, S is bonded in a distorted trigonal non-coplanar geometry to one Pb and two Sb atoms. In the fifteenth S site, S is bonded in an L-shaped geometry to one Sb and one As atom. In the sixteenth S site, S is bonded in a 3-coordinate geometry to three Sb atoms. In the seventeenth S site, S is bonded in an L-shaped geometry to one Sb and one As atom. In the eighteenth S site, S is bonded in an L-shaped geometry to one Sb and one As atom. In the nineteenth S site, S is bonded in a water-like geometry to one Sb and one As atom. In the twentieth S site, S is bonded in a distorted L-shaped geometry to one Pb and two As atoms. In the twenty-first S site, S is bonded in a water-like geometry to two As atoms. In the twenty-second S site, S is bonded in a distorted L-shaped geometry to one Sb and one As atom. In the twenty-third S site, S is bonded in a distorted water-like geometry to two As atoms. In the twenty-fourth S site, S is bonded in a distorted L-shaped geometry to two Sb atoms. In the twenty-fifth S site, S is bonded in a water-like geometry to one Sb and one As atom. In the twenty-sixth S site, S is bonded in a distorted trigonal non-coplanar geometry to one Sb and two As atoms. In the twenty-seventh S site, S is bonded in an L-shaped geometry to one Sb and one As atom. In the twenty-eighth S site, S is bonded in an L-shaped geometry to two Sb atoms. In the twenty-ninth S site, S is bonded in a 4-coordinate geometry to three Sb and one As atom. In the thirtieth S site, S is bonded in a distorted water-like geometry to one Pb and two Sb atoms. In the thirty-first S site, S is bonded in a distorted water-like geometry to one Pb, one Sb, and one As atom. In the thirty-second S site, S is bonded in a water-like geometry to one Sb and one As atom. In the thirty-third S site, S is bonded in a 2-coordinate geometry to two Sb and one As atom. In the thirty-fourth S site, S is bonded in a distorted trigonal non-coplanar geometry to one Pb and two Sb atoms. In the thirty-fifth S site, S is bonded in a distorted trigonal non-coplanar geometry to two Sb and one As atom. In the thirty-sixth S site, S is bonded in a 4-coordinate geometry to one Tl, one Pb, and two Sb atoms. In the thirty-seventh S site, S is bonded in a distorted single-bond geometry to one Pb and one As atom. In the thirty-eighth S site, S is bonded in an L-shaped geometry to one Sb and one As atom. In the thirty-ninth S site, S is bonded in an L-shaped geometry to one Sb and one As atom. In the fortieth S site, S is bonded in an L-shaped geometry to one Sb and one As atom. In the forty-first S site, S is bonded in an L-shaped geometry to one Sb and one As atom. In the forty-second S site, S is bonded in an L-shaped geometry to one Sb and one As atom. In the forty-third S site, S is bonded in a distorted trigonal non-coplanar geometry to two Sb and one As atom. In the forty-fourth S site, S is bonded in a distorted trigonal non-coplanar geometry to two Sb and one As atom. In the forty-fifth S site, S is bonded in an L-shaped geometry to one Sb and one As atom. In the forty-sixth S site, S is bonded in a distorted see-saw-like geometry to one Pb, two Sb, and one As atom. In the forty-seventh S site, S is bonded in a distorted water-like geometry to one Pb and one As atom. In the forty-eighth S site, S is bonded in a 2-coordinate geometry to two Sb atoms. In the forty-ninth S site, S is bonded in a distorted trigonal non-coplanar geometry t

36 MATERIALS SCIENCE↗

Materials Data on NaLi3Ti2Fe2(PO4)6 by Materials Project

NaLi3Ti2Fe2(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.69 Å. In the second Na1+ site, Na1+ is bonded in a hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.65–2.71 Å. In the third Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.44–2.63 Å. There are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two TiO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 62–69°. There are a spread of Li–O bond distances ranging from 1.94–2.13 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 61–70°. There are a spread of Li–O bond distances ranging from 1.95–2.11 Å. In the third 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 2.03–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 61–71°. There are a spread of Li–O bond distances ranging from 1.95–2.13 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.28 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 63–68°. There are a spread of Li–O bond distances ranging from 1.94–2.11 Å. In the seventh 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 2.01–2.20 Å. In the eighth 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 2.05–2.13 Å. In the ninth 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 1.97–2.14 Å. There are six inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.92–1.97 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a cornercorner with one LiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.02 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.92–1.98 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and corners with two LiO4 trigonal pyramids. There are a spread of Ti–O bond distances ranging from 1.85–2.13 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.03 Å. There are six inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and corners with two LiO4 trigonal pyramids. There are a spread of Fe–O bond distances ranging from 1.94–2.15 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 trigonal pyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.07 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.96–2.11 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and a cornercorner with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.92–2.15 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.14 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.08 Å. There are eighteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–41°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with three TiO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 24–41°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 25–43°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 26–47°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 23–44°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–44°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with three TiO6 octahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 24–47°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 27–46°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 22–42°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 24–47°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 26–48°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 26–42°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 26–48°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 27–39°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 30–41°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 26–45°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the seventeenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 26–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 25–44°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are seventy-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one P5+ atom. In the fourth O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Sc15(In5Rh2)4 by Materials Project

Sc15(Rh2In5)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are thirty inequivalent Sc sites. In the first Sc site, Sc is bonded in a 3-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.75 Å) and one longer (2.97 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.13–3.41 Å. In the second Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.74 Å) and one longer (2.99 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.13–3.41 Å. In the third Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.74 Å) and one longer (2.98 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.13–3.41 Å. In the fourth Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.75 Å) and one longer (2.99 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.11–3.40 Å. In the fifth Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.75 Å) and one longer (3.05 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.10–3.37 Å. In the sixth Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.74 Å) and one longer (3.10 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.10–3.38 Å. In the seventh Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.74 Å) and one longer (2.99 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.11–3.41 Å. In the eighth Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.74 Å) and one longer (2.99 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.12–3.40 Å. In the ninth Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.74 Å) and one longer (2.99 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.12–3.41 Å. In the tenth Sc site, Sc is bonded in a 3-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.79 Å) and one longer (2.98 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.12–3.38 Å. In the eleventh Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.75 Å) and one longer (3.01 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.14–3.40 Å. In the twelfth Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.72 Å) and one longer (3.00 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.13–3.42 Å. In the thirteenth Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.72 Å) and one longer (3.00 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.13–3.42 Å. In the fourteenth Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.72 Å) and one longer (3.00 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.12–3.42 Å. In the fifteenth Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.74 Å) and one longer (3.06 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.11–3.36 Å. In the sixteenth Sc site, Sc is bonded in a 2-coordinate geometry to two equivalent Rh and eight In atoms. Both Sc–Rh bond lengths are 2.73 Å. There are a spread of Sc–In bond distances ranging from 3.04–3.42 Å. In the seventeenth Sc site, Sc is bonded in a 2-coordinate geometry to two equivalent Rh and eight In atoms. Both Sc–Rh bond lengths are 2.74 Å. There are a spread of Sc–In bond distances ranging from 3.04–3.43 Å. In the eighteenth Sc site, Sc is bonded in a 2-coordinate geometry to two equivalent Rh and eight In atoms. Both Sc–Rh bond lengths are 2.74 Å. There are a spread of Sc–In bond distances ranging from 3.04–3.43 Å. In the nineteenth Sc site, Sc is bonded in a 2-coordinate geometry to two equivalent Rh and six In atoms. Both Sc–Rh bond lengths are 2.73 Å. There are a spread of Sc–In bond distances ranging from 3.04–3.45 Å. In the twentieth Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.78 Å) and one longer (3.04 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.12–3.40 Å. In the twenty-first Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.79 Å) and one longer (3.14 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.12–3.41 Å. In the twenty-second Sc site, Sc is bonded in a 2-coordinate geometry to two equivalent Rh and eight In atoms. Both Sc–Rh bond lengths are 2.74 Å. There are a spread of Sc–In bond distances ranging from 3.03–3.43 Å. In the twenty-third Sc site, Sc is bonded in a 2-coordinate geometry to two equivalent Rh and eight In atoms. Both Sc–Rh bond lengths are 2.74 Å. There are a spread of Sc–In bond distances ranging from 3.04–3.42 Å. In the twenty-fourth Sc site, Sc is bonded in a 2-coordinate geometry to two equivalent Rh and six In atoms. Both Sc–Rh bond lengths are 2.74 Å. There are a spread of Sc–In bond distances ranging from 3.11–3.42 Å. In the twenty-fifth Sc site, Sc is bonded in a 2-coordinate geometry to two equivalent Rh and eight In atoms. Both Sc–Rh bond lengths are 2.73 Å. There are a spread of Sc–In bond distances ranging from 3.06–3.40 Å. In the twenty-sixth Sc site, Sc is bonded in a 2-coordinate geometry to two equivalent Rh and eight In atoms. Both Sc–Rh bond lengths are 2.73 Å. There are a spread of Sc–In bond distances ranging from 3.07–3.42 Å. In the twenty-seventh Sc site, Sc is bonded in a 2-coordinate geometry to two equivalent Rh and eight In atoms. Both Sc–Rh bond lengths are 2.74 Å. There are a spread of Sc–In bond distances ranging from 3.04–3.42 Å. In the twenty-eighth Sc site, Sc is bonded in a 2-coordinate geometry to two equivalent Rh and eight In atoms. Both Sc–Rh bond lengths are 2.74 Å. There are a spread of Sc–In bond distances ranging from 3.04–3.42 Å. In the twenty-ninth Sc site, Sc is bonded in a 2-coordinate geometry to two equivalent Rh and six In atoms. Both Sc–Rh bond lengths are 2.74 Å. There are a spread of Sc–In bond distances ranging from 3.04–3.22 Å. In the thirtieth Sc site, Sc is bonded in a 2-coordinate geometry to three Rh and eight In atoms. There are two shorter (2.77 Å) and one longer (3.12 Å) Sc–Rh bond lengths. There are a spread of Sc–In bond distances ranging from 3.13–3.39 Å. There are eleven inequivalent Rh sites. In the first Rh site, Rh is bonded in a 9-coordinate geometry to six Sc and three In atoms. There are a spread of Rh–In bond distances ranging from 2.88–2.96 Å. In the second Rh site, Rh is bonded in a 9-coordinate geometry to six Sc and three In atoms. There are one shorter (2.95 Å) and two longer (2.96 Å) Rh–In bond lengths. In the third Rh site, Rh is bonded in a 9-coordinate geometry to six Sc and three In atoms. There are one shorter (2.95 Å) and two longer (2.96 Å) Rh–In bond lengths. In the fourth Rh site, Rh is bonded in a 9-coordinate geometry to six Sc and three In atoms. There are one shorter (2.95 Å) and two longer (2.96 Å) Rh–In bond lengths. In the fifth Rh site, Rh is bonded in a 9-coordinate geometry to six Sc and three In atoms. There are a spread of Rh–In bond distances ranging from 2.87–2.94 Å. In the sixth Rh site, Rh is bonded in a 9-coordinate geometry to three Sc and six In atoms. There are a spread of Rh–In bond distances ranging from 2.70–2.73 Å. In the seventh Rh site, Rh is bonded in a 9-coordinate geometry to three Sc and six In atoms. There are two shorter (2.73 Å) and four longer (2.74 Å) Rh–In bond lengths. In the eighth Rh site, Rh is bonded in a 9-coordinate geometry to three Sc and six In atoms. All Rh–In bond lengths are 2.73 Å. In the ninth Rh site, Rh is bonded in a 9-coordinate geometry to three Sc and six In atoms. There are four shorter (2.73 Å) and two longer (2.74 Å) Rh–In bond lengths. In the tenth Rh site, Rh is bonded in a 9-coordinate geometry to three Sc and six In atoms. There are a spread of Rh–In bond distances ranging from 2.72–2.74 Å. In the eleventh Rh site, Rh is bonded in a 9-coordinate geometry to three Sc and six In atoms. All Rh–In bond lengths are 2.72 Å. There are twenty inequivalent In sites. In the first In site, In is bonded in a 10-coordinate geometry to six Sc, three Rh, and one In atom. The In–In bond length is 2.87 Å. In the second In site, In is bonded in a 1-coordinate geometry to six Sc, two Rh, and four In atoms. There are a spread of In–In bond distances ranging from 2.93–3.37 Å. In the third In site, In is bonded in a 1-coordinate geometry to six Sc, two Rh, and four In atoms. There are a spread of In–In bond distances ranging from 2.94–3.36 Å. In the fourth In site, In is bonded in a 1-coordinate geometry to six Sc, two Rh, and four In atoms. There are a spread of In–In bond distances ranging from 2.94–3.36 Å. In the fifth In site, In is bonded in a 1-coordinate geometry to six Sc, two Rh, and four In atoms. There are a spread of In–In bond distances ranging from 2.92–3.36 Å. In the sixth In site, In is bonded in a 1-coordinate geometry to six Sc, two Rh, and four In atoms. There are a spread of In–In bond distances ranging from 2.91–3.36 Å. In the seventh In site, In is bonded in a 1-coordinate geometry to six Sc, two Rh, and four In atoms. There are a spread of In–In bond distances ranging from 2.94–3.36 Å. In the eighth In site, In is bonded in a 1-coordinate geometry to six Sc, two Rh, and four In atoms. There are a spread of In–In bond distances ranging from 2.95–3.36 Å. In the ninth In site, In is bonded in a 1-coordinate geometry to three Sc, two Rh, and three In atoms. There are one shorter (2.95 Å) and one longer (3.38 Å) In–In bond lengths. In the tenth In site, In is bonded in a 10-coordinate geometry to six Sc, three Rh, and one In atom. The In–In bond length is 2.89 Å. In the eleventh In site, In is bonded in a 10-coordinate geometry to six Sc, three Rh, and one In atom. The In–In bond length is 2.89 Å. In the twelfth In site, In is bonded in a 1-coordinate geometry to six Sc, two Rh, and four In atoms. There are one shorter (2.96 Å) and one longer (3.26 Å) In–In bond lengths. In the thirteenth In site, In is bonded in a 1-coordinate geometry to six Sc, two Rh, and four In atoms. There are one shorter (2.96 Å) and one longer (3.26 Å) In–In bond lengths. In the fourteenth In site, In is bonded in a 1-coordinate geometry to six Sc, two Rh, and four In atoms. There are one shorter (2.96 Å) and one longer (3.26 Å) In–In bond lengths. In the fifteenth In site, In is bonded in a 1-coordinate geometry to six Sc, two Rh, and four In atoms. There are one shorter (2.93 Å) and one longer (3.25 Å) In–In bond lengths. In the sixteenth In site, In is bonded in a 9-coordinate geometry to six Sc and three In atoms. In the seventeenth In site, In is bonded in a 10-coordinate geometry to six Sc and four In atoms. The In–In bond length is 3.35 Å. In the eighteenth In site, In is bonded in a 10-coordinate geometry to six Sc and four In atoms. The In–In bond length is 3.35 Å. In the nineteenth In site, In is bonded in a 10-coordinate geometry to six Sc and four In atoms. The In–In bond length is 3.34 Å. In the twentieth In site, In is bonded in a 9-coordinate geometry to six Sc and three In atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cr23Ga26Fe3 by Materials Project

Cr23Fe3Ga26 is Bergman Structure: Mg32(Al,Zn)49 Bergman-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Cr sites. In the first Cr site, Cr is bonded in a 12-coordinate geometry to three Cr, two Fe, and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.74–2.81 Å. Both Cr–Fe bond lengths are 2.57 Å. There are a spread of Cr–Ga bond distances ranging from 2.54–2.69 Å. In the second Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.55–2.84 Å. The Cr–Fe bond length is 2.58 Å. There are a spread of Cr–Ga bond distances ranging from 2.54–2.70 Å. In the third Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.52–2.82 Å. The Cr–Fe bond length is 2.58 Å. There are a spread of Cr–Ga bond distances ranging from 2.56–2.71 Å. In the fourth Cr site, Cr is bonded in a 12-coordinate geometry to five Cr and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.52–2.82 Å. There are a spread of Cr–Ga bond distances ranging from 2.56–2.73 Å. In the fifth Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.50–2.82 Å. The Cr–Fe bond length is 2.56 Å. There are a spread of Cr–Ga bond distances ranging from 2.55–2.70 Å. In the sixth Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.56–2.83 Å. The Cr–Fe bond length is 2.61 Å. There are a spread of Cr–Ga bond distances ranging from 2.55–2.70 Å. In the seventh Cr site, Cr is bonded in a 12-coordinate geometry to five Cr and seven Ga atoms. There are two shorter (2.52 Å) and one longer (2.80 Å) Cr–Cr bond lengths. There are a spread of Cr–Ga bond distances ranging from 2.61–2.71 Å. In the eighth Cr site, Cr is bonded in a 12-coordinate geometry to five Cr and seven Ga atoms. There are a spread of Cr–Cr bond distances ranging from 2.50–2.80 Å. There are a spread of Cr–Ga bond distances ranging from 2.59–2.71 Å. In the ninth Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. There are one shorter (2.57 Å) and one longer (2.58 Å) Cr–Cr bond lengths. The Cr–Fe bond length is 2.72 Å. There are a spread of Cr–Ga bond distances ranging from 2.54–2.73 Å. In the tenth Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. There are one shorter (2.54 Å) and one longer (2.56 Å) Cr–Cr bond lengths. The Cr–Fe bond length is 2.74 Å. There are a spread of Cr–Ga bond distances ranging from 2.55–2.73 Å. In the eleventh Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, one Fe, and seven Ga atoms. Both Cr–Cr bond lengths are 2.54 Å. The Cr–Fe bond length is 2.75 Å. There are a spread of Cr–Ga bond distances ranging from 2.56–2.69 Å. In the twelfth Cr site, Cr is bonded in a 12-coordinate geometry to five Cr and seven Ga atoms. There are two shorter (2.53 Å) and one longer (2.79 Å) Cr–Cr bond lengths. There are a spread of Cr–Ga bond distances ranging from 2.58–2.72 Å. In the thirteenth Cr site, Cr is bonded to four Cr, two Fe, and six Ga atoms to form CrCr4Ga6Fe2 cuboctahedra that share faces with two GaCr11Fe cuboctahedra. There are a spread of Cr–Cr bond distances ranging from 2.44–2.58 Å. There are one shorter (2.57 Å) and one longer (2.58 Å) Cr–Fe bond lengths. There are a spread of Cr–Ga bond distances ranging from 2.62–2.64 Å. In the fourteenth Cr site, Cr is bonded to five Cr, one Fe, and six Ga atoms to form CrCr5Ga6Fe cuboctahedra that share a faceface with one FeCr6Ga6 cuboctahedra and faces with two GaCr11Fe cuboctahedra. There are a spread of Cr–Cr bond distances ranging from 2.47–2.55 Å. The Cr–Fe bond length is 2.56 Å. There are a spread of Cr–Ga bond distances ranging from 2.62–2.65 Å. In the fifteenth Cr site, Cr is bonded in a 12-coordinate geometry to five Cr, one Fe, and six Ga atoms. The Cr–Cr bond length is 2.75 Å. The Cr–Fe bond length is 2.71 Å. There are a spread of Cr–Ga bond distances ranging from 2.51–2.73 Å. In the sixteenth Cr site, Cr is bonded in a 12-coordinate geometry to four Cr, two Fe, and six Ga atoms. Both Cr–Fe bond lengths are 2.73 Å. There are a spread of Cr–Ga bond distances ranging from 2.50–2.71 Å. In the seventeenth Cr site, Cr is bonded in a 12-coordinate geometry to five Cr, one Fe, and six Ga atoms. The Cr–Fe bond length is 2.72 Å. There are a spread of Cr–Ga bond distances ranging from 2.52–2.71 Å. In the eighteenth Cr site, Cr is bonded in a 12-coordinate geometry to six Cr and six Ga atoms. There are one shorter (2.74 Å) and one longer (2.75 Å) Cr–Cr bond lengths. There are a spread of Cr–Ga bond distances ranging from 2.55–2.72 Å. In the nineteenth Cr site, Cr is bonded in a 12-coordinate geometry to six Cr and six Ga atoms. There are one shorter (2.72 Å) and one longer (2.73 Å) Cr–Cr bond lengths. There are a spread of Cr–Ga bond distances ranging from 2.54–2.72 Å. In the twentieth Cr site, Cr is bonded in a 12-coordinate geometry to six Cr and six Ga atoms. The Cr–Cr bond length is 2.75 Å. There are a spread of Cr–Ga bond distances ranging from 2.52–2.70 Å. In the twenty-first Cr site, Cr is bonded in a 12-coordinate geometry to six Cr and six Ga atoms. The Cr–Cr bond length is 2.71 Å. There are a spread of Cr–Ga bond distances ranging from 2.53–2.72 Å. In the twenty-second Cr site, Cr is bonded in a 12-coordinate geometry to six Cr and six Ga atoms. There are a spread of Cr–Ga bond distances ranging from 2.51–2.72 Å. In the twenty-third Cr site, Cr is bonded in a 12-coordinate geometry to six Cr and six Ga atoms. There are a spread of Cr–Ga bond distances ranging from 2.51–2.71 Å. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to five Cr, one Fe, and six Ga atoms. The Fe–Fe bond length is 2.69 Å. There are a spread of Fe–Ga bond distances ranging from 2.47–2.71 Å. In the second Fe site, Fe is bonded to six Cr and six Ga atoms to form distorted FeCr6Ga6 cuboctahedra that share a faceface with one CrCr5Ga6Fe cuboctahedra and a faceface with one GaCr11Fe cuboctahedra. There are a spread of Fe–Ga bond distances ranging from 2.48–2.71 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to five Cr, one Fe, and six Ga atoms. There are a spread of Fe–Ga bond distances ranging from 2.47–2.69 Å. There are twenty-six inequivalent Ga sites. In the first Ga site, Ga is bonded in a 1-coordinate geometry to six Cr and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.62–3.01 Å. In the second Ga site, Ga is bonded in a 1-coordinate geometry to six Cr and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.62–3.04 Å. In the third Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.65–3.02 Å. In the fourth Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.65–3.02 Å. In the fifth Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.64–3.03 Å. In the sixth Ga site, Ga is bonded in a 1-coordinate geometry to six Cr and five Ga atoms. There are a spread of Ga–Ga bond distances ranging from 2.62–3.04 Å. In the seventh Ga site, Ga is bonded in a 9-coordinate geometry to four Cr, two Fe, and three Ga atoms. In the eighth Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and three Ga atoms. In the ninth Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and three Ga atoms. In the tenth Ga site, Ga is bonded in a 1-coordinate geometry to six Cr and five Ga atoms. Both Ga–Ga bond lengths are 3.01 Å. In the eleventh Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and three Ga atoms. In the twelfth Ga site, Ga is bonded in a 1-coordinate geometry to five Cr, one Fe, and three Ga atoms. In the thirteenth Ga site, Ga is bonded in a 6-coordinate geometry to five Cr, one Fe, and one Ga atom. In the fourteenth Ga site, Ga is bonded in a 6-coordinate geometry to five Cr, one Fe, and one Ga atom. In the fifteenth Ga site, Ga is bonded in a 6-coordinate geometry to five Cr, one Fe, and one Ga atom. In the sixteenth Ga site, Ga is bonded in a 6-coordinate geometry to six Cr and one Ga atom. In the seventeenth Ga site, Ga is bonded in a 6-coordinate geometry to six Cr and one Ga atom. In the eighteenth Ga site, Ga is bonded in a 6-coordinate geometry to six Cr and two Ga atoms. In the nineteenth Ga site, Ga is bonded in a 6-coordinate geometry to five Cr, one Fe, and one Ga atom. In the twentieth Ga site, Ga is bonded in a 6-coordinate geometry to five Cr, one Fe, and one Ga atom. In the twenty-first Ga site, Ga is bonded in a 6-coordinate geometry to five Cr, one Fe, and one Ga atom. In the twenty-second Ga site, Ga is bonded in a 6-coordinate geometry to six Cr and two Ga atoms. In the twenty-third Ga site, Ga is bonded in a 6-coordinate geometry to six Cr and one Ga atom. In the twenty-fourth Ga site, Ga is bonded in a 11-coordinate geometry to six Cr and one Ga atom. In the twenty-fifth Ga site, Ga is bonded to eleven Cr and one Fe atom to form GaCr11Fe cuboctahedra that share a faceface with one FeCr6Ga6 cuboctahedra and faces with two CrCr4Ga6Fe2 cuboctahedra. In the twenty-sixth Ga site, Ga is bonded to ten Cr and two Fe atoms to form GaCr10Fe2 cuboctahedra that share faces with two CrCr4Ga6Fe2 cuboctahedra.

36 MATERIALS SCIENCE↗