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Materials Data on Pr14Si11Ni6 by Materials Project

Pr14Ni6Si11 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-eight inequivalent Pr sites. In the first Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.96 Å. There are a spread of Pr–Si bond distances ranging from 3.08–3.29 Å. In the second Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 3.00 Å. There are a spread of Pr–Si bond distances ranging from 3.12–3.18 Å. In the third Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.92 Å. There are a spread of Pr–Si bond distances ranging from 3.08–3.32 Å. In the fourth Pr site, Pr is bonded in a 7-coordinate geometry to two Ni and five Si atoms. There are one shorter (2.88 Å) and one longer (2.92 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 3.11–3.21 Å. In the fifth Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.07 Å. There are a spread of Pr–Si bond distances ranging from 3.11–3.13 Å. In the sixth Pr site, Pr is bonded to six Ni and six Si atoms to form PrSi6Ni6 cuboctahedra that share edges with two equivalent PrSi8Ni4 cuboctahedra and faces with three PrSi6Ni6 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.22–3.26 Å. There are a spread of Pr–Si bond distances ranging from 3.13–3.20 Å. In the seventh Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.08 Å. There are three shorter (3.12 Å) and three longer (3.13 Å) Pr–Si bond lengths. In the eighth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.93 Å. There are a spread of Pr–Si bond distances ranging from 3.09–3.34 Å. In the ninth Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 2.90 Å. There are a spread of Pr–Si bond distances ranging from 3.15–3.21 Å. In the tenth Pr site, Pr is bonded to six Ni and six Si atoms to form PrSi6Ni6 cuboctahedra that share edges with two equivalent PrSi8Ni4 cuboctahedra and faces with three PrSi6Ni6 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.21–3.26 Å. There are a spread of Pr–Si bond distances ranging from 3.12–3.30 Å. In the eleventh Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. There are one shorter (2.97 Å) and one longer (2.98 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 3.13–3.24 Å. In the twelfth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.93 Å. There are a spread of Pr–Si bond distances ranging from 3.08–3.34 Å. In the thirteenth Pr site, Pr is bonded in a 6-coordinate geometry to two equivalent Ni and four Si atoms. There are one shorter (2.96 Å) and one longer (2.97 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 2.99–3.31 Å. In the fourteenth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.98 Å. There are a spread of Pr–Si bond distances ranging from 3.13–3.23 Å. In the fifteenth Pr site, Pr is bonded to six Ni and six Si atoms to form PrSi6Ni6 cuboctahedra that share edges with two equivalent PrSi8Ni4 cuboctahedra and faces with three PrSi6Ni6 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.21–3.26 Å. There are a spread of Pr–Si bond distances ranging from 3.13–3.30 Å. In the sixteenth Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 3.00 Å. There are a spread of Pr–Si bond distances ranging from 3.11–3.18 Å. In the seventeenth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.88 Å. There are four shorter (3.15 Å) and one longer (3.35 Å) Pr–Si bond lengths. In the eighteenth Pr site, Pr 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 (2.91 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 3.08–3.33 Å. In the nineteenth Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 2.90 Å. There are a spread of Pr–Si bond distances ranging from 3.15–3.20 Å. In the twentieth Pr site, Pr is bonded in a 6-coordinate geometry to two equivalent Ni and four Si atoms. Both Pr–Ni bond lengths are 2.96 Å. There are a spread of Pr–Si bond distances ranging from 2.99–3.31 Å. In the twenty-first Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.88 Å. There are four shorter (3.15 Å) and one longer (3.35 Å) Pr–Si bond lengths. In the twenty-second Pr site, Pr is bonded in a 7-coordinate geometry to two Ni and five Si atoms. There are one shorter (2.88 Å) and one longer (2.91 Å) Pr–Ni bond lengths. There are a spread of Pr–Si bond distances ranging from 3.11–3.22 Å. In the twenty-third Pr site, Pr is bonded to four Ni and eight Si atoms to form a mixture of edge and face-sharing PrSi8Ni4 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.21–3.23 Å. There are a spread of Pr–Si bond distances ranging from 3.20–3.24 Å. In the twenty-fourth Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.05 Å. There are a spread of Pr–Si bond distances ranging from 3.04–3.32 Å. In the twenty-fifth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 2.95 Å. There are a spread of Pr–Si bond distances ranging from 3.06–3.28 Å. In the twenty-sixth Pr site, Pr is bonded to six Ni and six Si atoms to form PrSi6Ni6 cuboctahedra that share edges with two equivalent PrSi8Ni4 cuboctahedra and faces with three PrSi6Ni6 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.20–3.27 Å. There are a spread of Pr–Si bond distances ranging from 3.13–3.20 Å. In the twenty-seventh Pr site, Pr is bonded to four Ni and eight Si atoms to form a mixture of edge and face-sharing PrSi8Ni4 cuboctahedra. There are a spread of Pr–Ni bond distances ranging from 3.21–3.23 Å. There are a spread of Pr–Si bond distances ranging from 3.19–3.22 Å. In the twenty-eighth Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.06 Å. There are a spread of Pr–Si bond distances ranging from 3.04–3.33 Å. There are twelve inequivalent Ni sites. In the first Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.40–2.48 Å. In the second Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.40–2.48 Å. In the third Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are one shorter (2.45 Å) and two longer (2.50 Å) Ni–Si bond lengths. In the fourth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are one shorter (2.40 Å) and two longer (2.47 Å) Ni–Si bond lengths. In the fifth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.29–2.41 Å. In the sixth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are one shorter (2.39 Å) and two longer (2.47 Å) Ni–Si bond lengths. In the seventh Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.29–2.40 Å. In the eighth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.28–2.42 Å. In the ninth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.36–2.47 Å. In the tenth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.36–2.47 Å. In the eleventh Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are a spread of Ni–Si bond distances ranging from 2.29–2.39 Å. In the twelfth Ni site, Ni is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are one shorter (2.46 Å) and two longer (2.50 Å) Ni–Si bond lengths. There are twenty-two inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the second Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the third Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the fourth Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Ni atom. In the fifth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two equivalent Ni atoms. In the sixth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the seventh Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.52 Å. In the eighth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms. In the ninth Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.52 Å. In the tenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two equivalent Ni atoms. In the eleventh Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.54 Å. In the twelfth Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.52 Å. In the thirteenth Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Ni atom. In the fourteenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two equivalent Ni atoms. In the fifteenth Si site, Si is bonded in a 8-coordinate geometry to seven Pr and one Ni atom. In the sixteenth Si site, Si is bonded in a 8-coordinate geometry to seven Pr and one Ni atom. In the seventeenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the eighteenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the nineteenth Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the twentieth Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the twenty-first Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two equivalent Ni atoms. In the twenty-second Si site, Si is bonded in a 9-coordinate geometry to seven Pr and two Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr27Se40 by Materials Project

Pr27Se40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Pr sites. In the first Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.97–3.25 Å. In the second Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.99–3.26 Å. In the third Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.28 Å. In the fourth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.99–3.23 Å. In the fifth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.30 Å. In the sixth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.03–3.28 Å. In the seventh Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.29 Å. In the eighth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.27 Å. In the ninth Pr site, Pr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Pr–Se bond distances ranging from 2.96–3.35 Å. In the tenth Pr site, Pr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Pr–Se bond distances ranging from 2.97–3.35 Å. In the eleventh Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.28 Å. In the twelfth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.23 Å. In the thirteenth Pr site, Pr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Pr–Se bond distances ranging from 2.99–3.27 Å. In the fourteenth Pr site, Pr is bonded in a 8-coordinate geometry to eight Se atoms. There are a spread of Pr–Se bond distances ranging from 2.98–3.35 Å. In the fifteenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.23 Å. In the sixteenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.23 Å. In the seventeenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.99–3.24 Å. In the eighteenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.98–3.22 Å. In the nineteenth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.24 Å. In the twentieth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.28 Å. In the twenty-first Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.23 Å. In the twenty-second Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.22 Å. In the twenty-third Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.00–3.29 Å. In the twenty-fourth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.98–3.29 Å. In the twenty-fifth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 2.98–3.25 Å. In the twenty-sixth Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.29 Å. In the twenty-seventh Pr site, Pr is bonded to eight Se atoms to form a mixture of distorted edge, corner, and face-sharing PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.32 Å. There are forty inequivalent Se sites. In the first Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with nine SePr6 octahedra, corners with seven SePr5 square pyramids, edges with four SePr5 square pyramids, an edgeedge with one SePr5 trigonal bipyramid, and faces with three SePr6 octahedra. The corner-sharing octahedra tilt angles range from 13–52°. In the second Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with five SePr6 octahedra, corners with ten SePr5 square pyramids, edges with five SePr6 octahedra, an edgeedge with one SePr5 square pyramid, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 46–55°. In the third Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with five SePr6 octahedra, corners with eight SePr5 square pyramids, corners with two equivalent SePr5 trigonal bipyramids, edges with two SePr6 octahedra, edges with four SePr5 square pyramids, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 18–53°. In the fourth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with ten SePr6 octahedra, corners with three SePr5 square pyramids, edges with three SePr6 octahedra, edges with five SePr5 square pyramids, a faceface with one SePr6 octahedra, and a faceface with one SePr5 square pyramid. The corner-sharing octahedra tilt angles range from 20–49°. In the fifth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with five SePr6 octahedra, corners with nine SePr5 square pyramids, a cornercorner with one SePr5 trigonal bipyramid, edges with three SePr6 octahedra, edges with three SePr5 square pyramids, faces with three SePr6 octahedra, and faces with two SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 45–52°. In the sixth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with five SePr5 square pyramids, edges with four SePr6 octahedra, edges with four SePr5 square pyramids, and faces with two SePr6 octahedra. The corner-sharing octahedra tilt angles range from 19–50°. In the seventh Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with five SePr6 octahedra, corners with nine SePr5 square pyramids, a cornercorner with one SePr5 trigonal bipyramid, edges with three SePr6 octahedra, edges with three SePr5 square pyramids, faces with three SePr6 octahedra, and faces with two SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 21–48°. In the eighth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with five SePr5 square pyramids, edges with four SePr6 octahedra, edges with four SePr5 square pyramids, a faceface with one SePr6 octahedra, and a faceface with one SePr5 square pyramid. The corner-sharing octahedra tilt angles range from 17–51°. In the ninth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with seven SePr5 square pyramids, a cornercorner with one SePr5 trigonal bipyramid, edges with two SePr6 octahedra, edges with three SePr5 square pyramids, and faces with three SePr6 octahedra. The corner-sharing octahedra tilt angles range from 11–53°. In the tenth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with six SePr6 octahedra, corners with six SePr5 square pyramids, a cornercorner with one SePr5 trigonal bipyramid, edges with three SePr6 octahedra, edges with five SePr5 square pyramids, and faces with two SePr6 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the eleventh Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with five SePr5 square pyramids, edges with three SePr6 octahedra, edges with five SePr5 square pyramids, a faceface with one SePr5 square pyramid, and a faceface with one SePr5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 17–51°. In the twelfth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share a cornercorner with one SePr6 octahedra, corners with fourteen SePr5 square pyramids, edges with four SePr6 octahedra, edges with two SePr5 square pyramids, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedral tilt angles are 46°. In the thirteenth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with six SePr6 octahedra, corners with ten SePr5 square pyramids, edges with two SePr6 octahedra, edges with three SePr5 square pyramids, faces with two SePr6 octahedra, and a faceface with one SePr5 square pyramid. The corner-sharing octahedra tilt angles range from 18–52°. In the fourteenth Se site, Se is bonded to five Pr atoms to form SePr5 square pyramids that share corners with eight SePr6 octahedra, corners with eight SePr5 square pyramids, edges with two SePr6 octahedra, edges with three SePr5 square pyramids, faces with two SePr6 octahedra, and a faceface with one SePr5 square pyramid. The corner-sharing octahedra tilt angles range from 19–50°. In the fifteenth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with seven SePr6 octahedra, corners with eight SePr5 square pyramids, edges with two SePr6 octahedra, edges with four SePr5 square pyramids, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedra tilt angles range from 20–54°. In the sixteenth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with seven SePr6 octahedra, corners with eight SePr5 square pyramids, an edgeedge with one SePr6 octahedra, edges with five SePr5 square pyramids, faces with two SePr6 octahedra, and faces with three SePr5 square pyramids. The corner-sharing octahedra tilt angles

36 MATERIALS SCIENCE↗

Materials Data on Pr3Ni7P5 by Materials Project

Pr3Ni7P5 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Pr sites. In the first Pr site, Pr is bonded in a 2-coordinate geometry to nine Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.03–3.10 Å. There are two shorter (2.95 Å) and four longer (3.05 Å) Pr–P bond lengths. In the second Pr site, Pr is bonded in a 4-coordinate geometry to nine Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.02–3.11 Å. There are a spread of Pr–P bond distances ranging from 2.95–3.05 Å. In the third Pr site, Pr is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.00–3.14 Å. There are a spread of Pr–P bond distances ranging from 2.99–3.05 Å. In the fourth Pr site, Pr is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.00–3.15 Å. There are a spread of Pr–P bond distances ranging from 2.99–3.04 Å. In the fifth Pr site, Pr is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.03–3.12 Å. There are four shorter (3.04 Å) and two longer (3.05 Å) Pr–P bond lengths. In the sixth Pr site, Pr is bonded in a 9-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 2.91–3.14 Å. There are a spread of Pr–P bond distances ranging from 3.03–3.05 Å. In the seventh Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.04–3.14 Å. There are four shorter (3.01 Å) and two longer (3.04 Å) Pr–P bond lengths. In the eighth Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.04–3.15 Å. There are a spread of Pr–P bond distances ranging from 3.00–3.05 Å. In the ninth Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.05–3.13 Å. There are a spread of Pr–P bond distances ranging from 3.00–3.05 Å. In the tenth Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.04–3.10 Å. There are a spread of Pr–P bond distances ranging from 3.01–3.05 Å. In the eleventh Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.05–3.13 Å. There are four shorter (3.01 Å) and two longer (3.06 Å) Pr–P bond lengths. In the twelfth Pr site, Pr is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.05–3.10 Å. There are a spread of Pr–P bond distances ranging from 3.01–3.04 Å. There are twenty-eight inequivalent Ni sites. In the first Ni site, Ni is bonded to three Pr, two equivalent Ni, and four P atoms to form distorted NiPr3Ni2P4 tetrahedra that share corners with five NiPr4P4 tetrahedra, an edgeedge with one NiPr4P4 tetrahedra, and faces with five NiPr3Ni2P4 tetrahedra. Both Ni–Ni bond lengths are 2.59 Å. There are a spread of Ni–P bond distances ranging from 2.33–2.38 Å. In the second Ni site, Ni is bonded to three Pr and four P atoms to form distorted NiPr3P4 tetrahedra that share corners with five NiPr4P4 tetrahedra, edges with three NiPr3P4 tetrahedra, and faces with three NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.38 Å. In the third Ni site, Ni is bonded in a 4-coordinate geometry to three Pr and four P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.42 Å. In the fourth Ni site, Ni is bonded in a 4-coordinate geometry to three Pr and four P atoms. There are a spread of Ni–P bond distances ranging from 2.27–2.43 Å. In the fifth Ni site, Ni is bonded in a 4-coordinate geometry to three Pr and four P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.37 Å. In the sixth Ni site, Ni is bonded in a 4-coordinate geometry to three Pr, one Ni, and four P atoms. The Ni–Ni bond length is 2.42 Å. There are a spread of Ni–P bond distances ranging from 2.27–2.40 Å. In the seventh Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with six NiPr3Ni2P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with two equivalent NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.33–2.41 Å. In the eighth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with eight NiPr3Ni2P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with three NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.34–2.40 Å. In the ninth Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiPr4P4 tetrahedra. There are three shorter (2.35 Å) and one longer (2.38 Å) Ni–P bond lengths. In the tenth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with five NiPr4P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with four NiPr3P4 tetrahedra. There are two shorter (2.32 Å) and two longer (2.34 Å) Ni–P bond lengths. In the eleventh Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiPr4P4 tetrahedra. There are three shorter (2.34 Å) and one longer (2.39 Å) Ni–P bond lengths. In the twelfth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with five NiPr4P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with four NiPr3Ni2P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.35 Å. In the thirteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.32 Å. In the fourteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are two shorter (2.29 Å) and one longer (2.33 Å) Ni–P bond lengths. In the fifteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are two shorter (2.29 Å) and one longer (2.32 Å) Ni–P bond lengths. In the sixteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are a spread of Ni–P bond distances ranging from 2.29–2.31 Å. In the seventeenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are two shorter (2.29 Å) and one longer (2.33 Å) Ni–P bond lengths. In the eighteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three 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 to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share a cornercorner with one NiPr4P4 tetrahedra, edges with four NiPr3Ni2P4 tetrahedra, and faces with four NiPr4P4 tetrahedra. There are two shorter (2.32 Å) and two longer (2.35 Å) Ni–P bond lengths. In the twentieth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share a cornercorner with one NiPr4P4 tetrahedra, edges with four NiPr3P4 tetrahedra, and faces with four NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.36 Å. In the twenty-first Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.36 Å. In the twenty-second Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with three NiPr3P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with four NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.32–2.36 Å. In the twenty-third Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiPr4P4 tetrahedra. There are two shorter (2.32 Å) and two longer (2.34 Å) Ni–P bond lengths. In the twenty-fourth Ni site, Ni is bonded to four Pr and four P atoms to form distorted NiPr4P4 tetrahedra that share corners with three NiPr3Ni2P4 tetrahedra, edges with three NiPr4P4 tetrahedra, and faces with four NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.35 Å. In the twenty-fifth Ni site, Ni is bonded in a 3-coordinate geometry to one Pr and three P atoms. There are one shorter (2.17 Å) and two longer (2.39 Å) Ni–P bond lengths. In the twenty-sixth Ni site, Ni is bonded in a distorted trigonal non-coplanar geometry to one Pr and three P atoms. There are one shorter (2.19 Å) and two longer (2.36 Å) Ni–P bond lengths. In the twenty-seventh Ni site, Ni is bonded in a 3-coordinate geometry to one Pr and three P atoms. There are one shorter (2.16 Å) and two longer (2.38 Å) Ni–P bond lengths. In the twenty-eighth Ni site, Ni is bonded in a 3-coordinate geometry to one Pr, three Ni, and three P atoms. There are one shorter (2.18 Å) and two longer (2.32 Å) Ni–P bond lengths. There are twenty inequivalent P sites. In the first P site, P is bonded in a 3-coordinate geometry to six Pr and three Ni atoms. In the second P site, P is bonded in a 3-coordinate geometry to six Pr and three Ni atoms. In the third P site, P is bonded in a 6-coordinate geometry to two equivalent Pr and six Ni atoms. In the fourth P site, P is bonded in a 9-coordinate geometry to two equivalent Pr and seven Ni atoms. In the fifth P site, P is bonded in a 6-coordinate geometry to two equivalent Pr and six Ni atoms. In the sixth P site, P is bonded in a 9-coordinate geometry to two equivalent Pr and seven Ni atoms. In the seventh P site, P is bonded in a 7-coordinate geometry to two equivalent Pr and five Ni atoms. In the eighth P site, P is bonded in a 7-coordinate geometry to two equivalent Pr and five Ni atoms. In the ninth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the tenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the eleventh P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the twelfth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the thirteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the fourteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the fifteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the sixteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the seventeenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the eighteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the nineteenth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the twentieth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr20AlSi19N33Cl2O19 by Materials Project

Pr20AlSi19N33O19Cl2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are fourteen inequivalent Pr sites. In the first Pr site, Pr is bonded to five N and three O atoms to form distorted PrN5O3 hexagonal bipyramids that share corners with two PrN3O4 pentagonal bipyramids, an edgeedge with one PrN5O3 hexagonal bipyramid, an edgeedge with one AlN2O2 tetrahedra, and edges with five SiN4 tetrahedra. There are a spread of Pr–N bond distances ranging from 2.53–2.83 Å. There are a spread of Pr–O bond distances ranging from 2.58–2.62 Å. In the second Pr site, Pr is bonded to three N and four O atoms to form distorted PrN3O4 pentagonal bipyramids that share corners with two equivalent PrN5O3 hexagonal bipyramids, a cornercorner with one SiN3O tetrahedra, an edgeedge with one AlN2O2 tetrahedra, and edges with three SiN3O tetrahedra. There are one shorter (2.45 Å) and two longer (2.59 Å) Pr–N bond lengths. There are a spread of Pr–O bond distances ranging from 2.45–2.86 Å. In the third Pr site, Pr is bonded in a 9-coordinate geometry to six N, two equivalent O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.49–3.10 Å. Both Pr–O bond lengths are 2.71 Å. The Pr–Cl bond length is 3.23 Å. In the fourth Pr site, Pr is bonded in a 7-coordinate geometry to four N and three O atoms. There are a spread of Pr–N bond distances ranging from 2.36–2.68 Å. There are a spread of Pr–O bond distances ranging from 2.45–2.75 Å. In the fifth Pr site, Pr is bonded in a 8-coordinate geometry to three N, four O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.55–2.66 Å. There are a spread of Pr–O bond distances ranging from 2.36–2.87 Å. The Pr–Cl bond length is 3.16 Å. In the sixth Pr site, Pr is bonded in a 6-coordinate geometry to six N and two equivalent O atoms. There are a spread of Pr–N bond distances ranging from 2.40–3.06 Å. Both Pr–O bond lengths are 2.71 Å. In the seventh Pr site, Pr is bonded to three N and four O atoms to form distorted PrN3O4 pentagonal bipyramids that share corners with two equivalent PrN5O3 hexagonal bipyramids, a cornercorner with one SiN4 tetrahedra, an edgeedge with one AlN2O2 tetrahedra, and edges with three SiN2O2 tetrahedra. There are one shorter (2.46 Å) and two longer (2.63 Å) Pr–N bond lengths. There are a spread of Pr–O bond distances ranging from 2.39–2.71 Å. In the eighth Pr site, Pr is bonded in a 8-coordinate geometry to four N and four O atoms. There are a spread of Pr–N bond distances ranging from 2.55–2.83 Å. There are a spread of Pr–O bond distances ranging from 2.47–2.59 Å. In the ninth Pr site, Pr is bonded in a 7-coordinate geometry to four N and three O atoms. There are a spread of Pr–N bond distances ranging from 2.47–2.63 Å. There are two shorter (2.46 Å) and one longer (2.68 Å) Pr–O bond lengths. In the tenth Pr site, Pr is bonded in a 9-coordinate geometry to six N, two equivalent O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.51–3.16 Å. Both Pr–O bond lengths are 2.69 Å. The Pr–Cl bond length is 3.17 Å. In the eleventh Pr site, Pr is bonded in a 7-coordinate geometry to four N and three O atoms. There are a spread of Pr–N bond distances ranging from 2.49–2.70 Å. There are a spread of Pr–O bond distances ranging from 2.41–2.48 Å. In the twelfth Pr site, Pr is bonded in a 8-coordinate geometry to five N, two O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.37–2.78 Å. Both Pr–O bond lengths are 2.45 Å. The Pr–Cl bond length is 3.20 Å. In the thirteenth Pr site, Pr is bonded in a 6-coordinate geometry to six N and two equivalent O atoms. There are a spread of Pr–N bond distances ranging from 2.43–3.04 Å. Both Pr–O bond lengths are 2.72 Å. In the fourteenth Pr site, Pr is bonded in a 7-coordinate geometry to five N and two O atoms. There are a spread of Pr–N bond distances ranging from 2.42–2.62 Å. There are one shorter (2.64 Å) and one longer (2.79 Å) Pr–O bond lengths. Al is bonded to two equivalent N and two O atoms to form AlN2O2 tetrahedra that share corners with two equivalent SiN3O tetrahedra, edges with two equivalent PrN5O3 hexagonal bipyramids, and edges with two PrN3O4 pentagonal bipyramids. Both Al–N bond lengths are 1.82 Å. There is one shorter (1.79 Å) and one longer (1.80 Å) Al–O bond length. There are eleven inequivalent Si sites. In the first Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one AlN2O2 tetrahedra, corners with two SiN3O tetrahedra, an edgeedge with one PrN5O3 hexagonal bipyramid, and an edgeedge with one PrN3O4 pentagonal bipyramid. 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 second Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three SiN4 tetrahedra and an edgeedge with one PrN5O3 hexagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.74 Å. The Si–O bond length is 1.67 Å. In the third Si site, Si is bonded to two equivalent N and two O atoms to form SiN2O2 tetrahedra that share corners with two equivalent SiN3O tetrahedra and edges with two PrN3O4 pentagonal bipyramids. Both Si–N bond lengths are 1.71 Å. There is one shorter (1.67 Å) and one longer (1.69 Å) Si–O bond length. In the fourth Si site, Si is bonded to three N and one O 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 fifth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one PrN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.76 Å. The Si–O bond length is 1.68 Å. In the sixth Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There is two shorter (1.71 Å) and one longer (1.75 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the seventh Si site, Si is bonded to three N and one O 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 1.68 Å. In the eighth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one PrN3O4 pentagonal bipyramid and corners with two equivalent SiN3O tetrahedra. There is one shorter (1.72 Å) and two longer (1.74 Å) Si–N bond length. The Si–O bond length is 1.71 Å. In the ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one PrN3O4 pentagonal bipyramid, corners with two equivalent SiN4 tetrahedra, and edges with two equivalent PrN5O3 hexagonal bipyramids. There are a spread of Si–N bond distances ranging from 1.74–1.76 Å. In the tenth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one PrN5O3 hexagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.74 Å. The Si–O bond length is 1.68 Å. In the eleventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one PrN5O3 hexagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.77 Å. There are twenty inequivalent N sites. In the first N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the second N site, N is bonded to two Pr and two equivalent Si atoms to form a mixture of distorted edge and corner-sharing NPr2Si2 tetrahedra. In the third N site, N is bonded in a 5-coordinate geometry to three Pr, one Al, and one Si atom. In the fourth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share corners with three NPr2Si2 tetrahedra, corners with three OPr3Si tetrahedra, and a cornercorner with one NPr2Si2 trigonal pyramid. In the fifth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share corners with two OPr3Si tetrahedra, corners with four NPr3Si tetrahedra, and a cornercorner with one NPr2Si2 trigonal pyramid. In the sixth N site, N is bonded in a distorted linear geometry to three Pr and two Si atoms. In the seventh N site, N is bonded to two Pr and two equivalent Si atoms to form distorted NPr2Si2 tetrahedra that share corners with two equivalent OPr3Si tetrahedra, corners with six NPr2Si2 trigonal pyramids, and an edgeedge with one NPr2Si2 tetrahedra. In the eighth N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the ninth N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the tenth N site, N is bonded to two Pr and two equivalent Si atoms to form distorted NPr2Si2 tetrahedra that share corners with six NPr2Si2 trigonal pyramids, an edgeedge with one NPr2Si2 tetrahedra, and edges with two equivalent OPr3Si tetrahedra. In the eleventh N site, N is bonded to four Pr and one Si atom to form distorted NPr4Si square pyramids that share corners with two equivalent NPr3Si2 trigonal bipyramids, a cornercorner with one OPr3Al trigonal pyramid, corners with two equivalent NPr2Si2 trigonal pyramids, edges with four OPr3Si tetrahedra, edges with two equivalent NPr3Si2 trigonal bipyramids, and an edgeedge with one NPr3Si trigonal pyramid. In the twelfth N site, N is bonded to three Pr and two Si atoms to form distorted NPr3Si2 trigonal bipyramids that share a cornercorner with one NPr4Si square pyramid, a cornercorner with one NPr3Si tetrahedra, corners with two OPr3Si tetrahedra, a cornercorner with one NPr3Si trigonal pyramid, an edgeedge with one NPr4Si square pyramid, edges with two OPr3Si tetrahedra, an edgeedge with one NPr3Si2 trigonal bipyramid, an edgeedge with one NPr2Si2 trigonal pyramid, and an edgeedge with one OPr3Si trigonal pyramid. In the thirteenth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share a cornercorner with one NPr4Si square pyramid, corners with three OPr3Si tetrahedra, corners with four NPr2Si2 tetrahedra, a cornercorner with one NPr2Si2 trigonal pyramid, an edgeedge with one OPr3Si tetrahedra, and an edgeedge with one NPr3Si2 trigonal bipyramid. In the fourteenth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share a cornercorner with one NPr4Si square pyramid, corners with three OPr3Si tetrahedra, corners with four NPr2Si2 tetrahedra, a cornercorner with one NPr2Si2 trigonal pyramid, and an edgeedge with one NPr3Si2 trigonal bipyramid. In the fifteenth N site, N is bonded to three Pr and two Si atoms to form distorted NPr3Si2 trigonal bipyramids that share a cornercorner with one NPr4Si square pyramid, a cornercorner with one NPr3Si tetrahedra, corners with two OPr3Si tetrahedra, corners with two OPr3Al trigonal pyramids, an edgeedge with one NPr4Si square pyramid, an edgeedge with one NPr3Si tetrahedra, an edgeedge with one NPr3Si2 trigonal bipyramid, and edges with two NPr3Si trigonal pyramids. In the sixteenth N site, N is bonded to three Pr and one Si atom to form distorted NPr3Si trigonal pyramids that share corners with two equivalent OPr3Si tetrahedra, corners with two equivalent NPr3Si2 trigonal bipyramids, an edgeedge with one NPr4Si square pyramid, edges with two equivalent NPr3Si2 trigonal bipyramids, and an edgeedge with one OPr3Al trigonal pyramid. In the seventeenth N site, N is bonded to four Pr and one Si atom to form distorted NPr4Si square pyramids that share corners with two equivalent OPr3Si tetrahedra, corners with two equivalent NPr3Si2 trigonal bipyramids, corners with two equivalent NPr2Si2 trigonal pyramids, edges with two equivalent NPr3Si tetrahedra, edges with two equivalent OPr3Si tetrahedra, edges with two

36 MATERIALS SCIENCE↗

Materials Data on Pr6Fe13Ge by Materials Project

Pr6Fe13Ge crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Pr sites. In the first Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.00–3.31 Å. There are one shorter (3.31 Å) and one longer (3.35 Å) Pr–Ge bond lengths. In the second Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.02–3.36 Å. There are one shorter (3.31 Å) and one longer (3.34 Å) Pr–Ge bond lengths. In the third Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.00–3.32 Å. There are one shorter (3.31 Å) and one longer (3.33 Å) Pr–Ge bond lengths. In the fourth Pr site, Pr is bonded in a 1-coordinate geometry to twelve Fe and one Ge atom. There are a spread of Pr–Fe bond distances ranging from 3.06–3.28 Å. The Pr–Ge bond length is 3.29 Å. In the fifth Pr site, Pr is bonded in a 1-coordinate geometry to twelve Fe and one Ge atom. There are a spread of Pr–Fe bond distances ranging from 3.06–3.28 Å. The Pr–Ge bond length is 3.31 Å. In the sixth Pr site, Pr is bonded in a 1-coordinate geometry to twelve Fe and one Ge atom. There are a spread of Pr–Fe bond distances ranging from 3.05–3.27 Å. The Pr–Ge bond length is 3.30 Å. In the seventh Pr site, Pr is bonded in a 1-coordinate geometry to twelve Fe and one Ge atom. There are a spread of Pr–Fe bond distances ranging from 3.06–3.28 Å. The Pr–Ge bond length is 3.30 Å. In the eighth Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.02–3.34 Å. There are one shorter (3.31 Å) and one longer (3.34 Å) Pr–Ge bond lengths. In the ninth Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 2.99–3.30 Å. Both Pr–Ge bond lengths are 3.32 Å. In the tenth Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.01–3.34 Å. There are one shorter (3.30 Å) and one longer (3.35 Å) Pr–Ge bond lengths. In the eleventh Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.01–3.35 Å. There are one shorter (3.31 Å) and one longer (3.35 Å) Pr–Ge bond lengths. In the twelfth Pr site, Pr is bonded in a 6-coordinate geometry to four Fe and two Ge atoms. There are a spread of Pr–Fe bond distances ranging from 3.00–3.33 Å. There are one shorter (3.31 Å) and one longer (3.34 Å) Pr–Ge bond lengths. There are twenty-six inequivalent Fe sites. In the first Fe site, Fe is bonded to five Pr and seven Fe atoms to form a mixture of distorted face and corner-sharing FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.52–2.66 Å. In the second Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FeFe12 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.42–2.66 Å. In the third Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.42–2.66 Å. In the fourth Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.41–2.67 Å. In the fifth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.46–2.75 Å. In the sixth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.46–2.75 Å. In the seventh Fe site, Fe is bonded to five Pr and seven Fe atoms to form distorted FePr5Fe7 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with fifteen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.52–2.56 Å. In the eighth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.46–2.75 Å. In the ninth Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.39–2.65 Å. In the tenth Fe site, Fe is bonded to five Pr and seven Fe atoms to form distorted FePr5Fe7 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with fifteen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.53–2.66 Å. In the eleventh Fe site, Fe is bonded to five Pr and seven Fe atoms to form a mixture of distorted face and corner-sharing FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.54–2.65 Å. In the twelfth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.76 Å. In the thirteenth Fe site, Fe is bonded to five Pr and seven Fe atoms to form distorted FePr5Fe7 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with fifteen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.53–2.66 Å. In the fourteenth Fe site, Fe is bonded to five Pr and seven Fe atoms to form a mixture of distorted face and corner-sharing FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.51–2.66 Å. In the fifteenth Fe site, Fe is bonded to twelve Fe atoms to form FeFe12 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with twelve FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.39–2.55 Å. In the sixteenth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.48–2.54 Å. In the seventeenth Fe site, Fe is bonded to five Pr and seven Fe atoms to form distorted FePr5Fe7 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with fifteen FePr5Fe7 cuboctahedra. The Fe–Fe bond length is 2.64 Å. In the eighteenth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.46–2.57 Å. In the nineteenth Fe site, Fe is bonded to five Pr and seven Fe atoms to form a mixture of distorted face and corner-sharing FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.52–2.56 Å. In the twentieth Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.38–2.57 Å. In the twenty-first Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are one shorter (2.40 Å) and one longer (2.50 Å) Fe–Fe bond lengths. In the twenty-second Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FeFe12 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. The Fe–Fe bond length is 2.57 Å. In the twenty-third Fe site, Fe is bonded to twelve Fe atoms to form a mixture of face and corner-sharing FeFe12 cuboctahedra. The Fe–Fe bond length is 2.45 Å. In the twenty-fourth Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eight FePr2Fe10 cuboctahedra and faces with seventeen FePr5Fe7 cuboctahedra. There are one shorter (2.49 Å) and one longer (2.56 Å) Fe–Fe bond lengths. In the twenty-fifth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. In the twenty-sixth Fe site, Fe is bonded in a 12-coordinate geometry to three Pr and nine Fe atoms. There are two inequivalent Ge sites. In the first Ge site, Ge is bonded in a distorted q6 geometry to ten Pr atoms. In the second Ge site, Ge is bonded in a distorted q6 geometry to ten Pr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca2Pr19(CoI12)3 by Materials Project

Ca2Pr19(CoI12)3 is trigonal omega-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Ca is bonded to six I atoms to form CaI6 octahedra that share edges with six PrCoI5 octahedra. There are two shorter (3.15 Å) and four longer (3.16 Å) Ca–I bond lengths. There are ten inequivalent Pr sites. In the first Pr site, Pr is bonded to one Co and five I atoms to form PrCoI5 octahedra that share corners with three PrCoI5 octahedra, an edgeedge with one CaI6 octahedra, and edges with five PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. The Pr–Co bond length is 2.82 Å. There are a spread of Pr–I bond distances ranging from 3.20–3.49 Å. In the second Pr site, Pr is bonded to one Co and five I atoms to form PrCoI5 octahedra that share corners with three PrCoI5 octahedra, an edgeedge with one CaI6 octahedra, and edges with five PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. The Pr–Co bond length is 2.80 Å. There are a spread of Pr–I bond distances ranging from 3.21–3.51 Å. In the third Pr site, Pr is bonded to one Co and five I atoms to form a mixture of distorted edge and corner-sharing PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. The Pr–Co bond length is 2.79 Å. There are a spread of Pr–I bond distances ranging from 3.20–3.52 Å. In the fourth Pr site, Pr is bonded to one Co and five I atoms to form PrCoI5 octahedra that share corners with three PrCoI5 octahedra, an edgeedge with one CaI6 octahedra, and edges with five PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. The Pr–Co bond length is 2.82 Å. There are a spread of Pr–I bond distances ranging from 3.19–3.48 Å. In the fifth Pr site, Pr is bonded to one Co and five I atoms to form PrCoI5 octahedra that share corners with three PrCoI5 octahedra, an edgeedge with one CaI6 octahedra, and edges with five PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. The Pr–Co bond length is 2.81 Å. There are a spread of Pr–I bond distances ranging from 3.21–3.50 Å. In the sixth Pr site, Pr is bonded to one Co and five I atoms to form a mixture of edge and corner-sharing PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. The Pr–Co bond length is 2.80 Å. There are a spread of Pr–I bond distances ranging from 3.19–3.51 Å. In the seventh Pr site, Pr is bonded to one Co and five I atoms to form distorted PrCoI5 octahedra that share corners with three PrCoI5 octahedra, an edgeedge with one CaI6 octahedra, and edges with five PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. The Pr–Co bond length is 2.75 Å. There are a spread of Pr–I bond distances ranging from 3.21–3.53 Å. In the eighth Pr site, Pr is bonded to one Co and five I atoms to form distorted PrCoI5 octahedra that share corners with three PrCoI5 octahedra, an edgeedge with one CaI6 octahedra, and edges with five PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. The Pr–Co bond length is 2.77 Å. There are a spread of Pr–I bond distances ranging from 3.22–3.51 Å. In the ninth Pr site, Pr is bonded to one Co and five I atoms to form a mixture of distorted edge and corner-sharing PrCoI5 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. The Pr–Co bond length is 2.76 Å. There are a spread of Pr–I bond distances ranging from 3.20–3.51 Å. In the tenth Pr site, Pr is bonded to six I atoms to form edge-sharing PrI6 octahedra. All Pr–I bond lengths are 3.17 Å. There are two inequivalent Co sites. In the first Co site, Co is bonded in an octahedral geometry to six Pr atoms. In the second Co site, Co is bonded in an octahedral geometry to six Pr atoms. There are eighteen inequivalent I sites. In the first I site, I is bonded in a distorted T-shaped geometry to one Ca and two Pr atoms. In the second I site, I is bonded in a distorted T-shaped geometry to one Ca and two Pr atoms. In the third I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the fourth I site, I is bonded in a distorted T-shaped geometry to one Ca and two Pr atoms. In the fifth I site, I is bonded in a distorted T-shaped geometry to one Ca and two Pr atoms. In the sixth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the seventh I site, I is bonded in a distorted T-shaped geometry to one Ca and two Pr atoms. In the eighth I site, I is bonded in a distorted T-shaped geometry to one Ca and two Pr atoms. In the ninth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the tenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the eleventh I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the twelfth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the thirteenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the fourteenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the fifteenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the sixteenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the seventeenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms. In the eighteenth I site, I is bonded in a distorted T-shaped geometry to three Pr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr6O11 by Materials Project

Pr6O11 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twelve inequivalent Pr+3.67+ sites. In the first Pr+3.67+ site, Pr+3.67+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.46–2.57 Å. In the second Pr+3.67+ site, Pr+3.67+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.40–2.60 Å. In the third Pr+3.67+ site, Pr+3.67+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.40–2.61 Å. In the fourth Pr+3.67+ site, Pr+3.67+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.43–2.71 Å. In the fifth Pr+3.67+ site, Pr+3.67+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.42–2.60 Å. In the sixth Pr+3.67+ site, Pr+3.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.35–2.48 Å. In the seventh Pr+3.67+ site, Pr+3.67+ is bonded to seven O2- atoms to form distorted PrO7 pentagonal bipyramids that share a cornercorner with one PrO7 hexagonal pyramid, a cornercorner with one PrO6 octahedra, edges with two PrO7 hexagonal pyramids, an edgeedge with one PrO6 octahedra, and edges with two equivalent PrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Pr–O bond distances ranging from 2.40–2.55 Å. In the eighth Pr+3.67+ site, Pr+3.67+ is bonded to seven O2- atoms to form distorted PrO7 hexagonal pyramids that share a cornercorner with one PrO6 octahedra, a cornercorner with one PrO7 pentagonal bipyramid, an edgeedge with one PrO7 hexagonal pyramid, an edgeedge with one PrO6 octahedra, and an edgeedge with one PrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Pr–O bond distances ranging from 2.40–2.49 Å. In the ninth Pr+3.67+ site, Pr+3.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.38–2.51 Å. In the tenth Pr+3.67+ site, Pr+3.67+ is bonded to seven O2- atoms to form distorted PrO7 hexagonal pyramids that share a cornercorner with one PrO6 octahedra, an edgeedge with one PrO7 hexagonal pyramid, an edgeedge with one PrO6 octahedra, and an edgeedge with one PrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of Pr–O bond distances ranging from 2.40–2.54 Å. In the eleventh Pr+3.67+ site, Pr+3.67+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.35–2.53 Å. In the twelfth Pr+3.67+ site, Pr+3.67+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing PrO6 octahedra. There are a spread of Pr–O bond distances ranging from 2.36–2.40 Å. There are twenty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the second O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the third O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the nineteenth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Pr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Pr32In3Rh19 by Materials Project

Pr32Rh19In3 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are thirteen inequivalent Pr sites. In the first Pr site, Pr is bonded in a 4-coordinate geometry to six Rh atoms. There are a spread of Pr–Rh bond distances ranging from 2.97–3.62 Å. In the second Pr site, Pr is bonded in a 6-coordinate geometry to five Rh and one In atom. There are a spread of Pr–Rh bond distances ranging from 3.03–3.62 Å. The Pr–In bond length is 3.49 Å. In the third Pr site, Pr is bonded in a 6-coordinate geometry to six Rh atoms. There are a spread of Pr–Rh bond distances ranging from 2.90–3.24 Å. In the fourth Pr site, Pr is bonded in a 6-coordinate geometry to five Rh and one In atom. There are a spread of Pr–Rh bond distances ranging from 2.93–3.09 Å. The Pr–In bond length is 3.40 Å. In the fifth Pr site, Pr is bonded in a 6-coordinate geometry to five Rh and one In atom. There are a spread of Pr–Rh bond distances ranging from 2.93–3.16 Å. The Pr–In bond length is 3.36 Å. In the sixth Pr site, Pr is bonded in a 6-coordinate geometry to six Rh atoms. There are a spread of Pr–Rh bond distances ranging from 2.90–3.25 Å. In the seventh Pr site, Pr is bonded in a 3-coordinate geometry to five Rh and one In atom. There are a spread of Pr–Rh bond distances ranging from 3.00–3.59 Å. The Pr–In bond length is 3.32 Å. In the eighth Pr site, Pr is bonded in a 3-coordinate geometry to five Rh and one In atom. There are a spread of Pr–Rh bond distances ranging from 3.01–3.60 Å. The Pr–In bond length is 3.33 Å. In the ninth Pr site, Pr is bonded in a 3-coordinate geometry to four Rh and two In atoms. There are a spread of Pr–Rh bond distances ranging from 3.01–3.43 Å. There are one shorter (3.36 Å) and one longer (3.57 Å) Pr–In bond lengths. In the tenth Pr site, Pr is bonded in a 6-coordinate geometry to five Rh and one In atom. There are a spread of Pr–Rh bond distances ranging from 3.00–3.60 Å. The Pr–In bond length is 3.32 Å. In the eleventh Pr site, Pr is bonded in a 4-coordinate geometry to four Rh atoms. There are two shorter (2.86 Å) and two longer (2.97 Å) Pr–Rh bond lengths. In the twelfth Pr site, Pr is bonded in a 4-coordinate geometry to four Rh atoms. There are two shorter (2.90 Å) and two longer (2.95 Å) Pr–Rh bond lengths. In the thirteenth Pr site, Pr is bonded in a 4-coordinate geometry to four Rh atoms. There are a spread of Pr–Rh bond distances ranging from 2.87–2.96 Å. There are nine inequivalent Rh sites. In the first Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr atoms. In the second Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr and one In atom. The Rh–In bond length is 3.51 Å. In the third Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr atoms. In the fourth Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr atoms. In the fifth Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr atoms. In the sixth Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr atoms. In the seventh Rh site, Rh is bonded in a 8-coordinate geometry to eight Pr and one In atom. The Rh–In bond length is 3.46 Å. In the eighth Rh site, Rh is bonded in a 10-coordinate geometry to ten Pr atoms. In the ninth Rh site, Rh is bonded in a 10-coordinate geometry to ten Pr atoms. There are two inequivalent In sites. In the first In site, In is bonded in a distorted body-centered cubic geometry to eight Pr and two equivalent Rh atoms. In the second In site, In is bonded in a 12-coordinate geometry to ten Pr and two equivalent Rh atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr6Si3Ni2 by Materials Project

Pr6Ni2Si3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Pr sites. In the first Pr site, Pr is bonded in a 5-coordinate geometry to two equivalent Ni and three Si atoms. Both Pr–Ni bond lengths are 3.03 Å. There are two shorter (3.15 Å) and one longer (3.21 Å) Pr–Si bond lengths. In the second Pr site, Pr is bonded in a 5-coordinate geometry to three Ni and two equivalent Si atoms. There are two shorter (3.04 Å) and one longer (3.06 Å) Pr–Ni bond lengths. Both Pr–Si bond lengths are 3.19 Å. In the third Pr site, Pr is bonded in a 5-coordinate geometry to three Ni and two equivalent Si atoms. There are two shorter (3.01 Å) and one longer (3.12 Å) Pr–Ni bond lengths. Both Pr–Si bond lengths are 3.20 Å. In the fourth Pr site, Pr is bonded in a 5-coordinate geometry to four Ni and one Si atom. There are two shorter (3.02 Å) and two longer (3.16 Å) Pr–Ni bond lengths. The Pr–Si bond length is 3.18 Å. In the fifth Pr site, Pr is bonded in a 5-coordinate geometry to four Ni and one Si atom. There are two shorter (3.05 Å) and two longer (3.13 Å) Pr–Ni bond lengths. The Pr–Si bond length is 3.19 Å. In the sixth Pr site, Pr is bonded in a 5-coordinate geometry to two equivalent Ni and three Si atoms. Both Pr–Ni bond lengths are 3.03 Å. All Pr–Si bond lengths are 3.18 Å. In the seventh Pr site, Pr is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Pr–Si bond distances ranging from 3.12–3.26 Å. In the eighth Pr site, Pr is bonded in a 7-coordinate geometry to one Ni and six Si atoms. The Pr–Ni bond length is 3.22 Å. There are a spread of Pr–Si bond distances ranging from 3.14–3.30 Å. In the ninth Pr site, Pr is bonded in a 7-coordinate geometry to one Ni and six Si atoms. The Pr–Ni bond length is 3.17 Å. There are a spread of Pr–Si bond distances ranging from 3.14–3.29 Å. In the tenth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 3.35 Å. There are three shorter (3.15 Å) and two longer (3.22 Å) Pr–Si bond lengths. In the eleventh Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 3.23 Å. There are a spread of Pr–Si bond distances ranging from 3.15–3.32 Å. In the twelfth Pr site, Pr is bonded in a 7-coordinate geometry to four Ni and three Si atoms. There are two shorter (3.14 Å) and two longer (3.32 Å) Pr–Ni bond lengths. There are two shorter (3.09 Å) and one longer (3.24 Å) Pr–Si bond lengths. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded in a body-centered cubic geometry to six Pr and two equivalent Ni atoms. There are one shorter (2.28 Å) and one longer (2.29 Å) Ni–Ni bond lengths. In the second Ni site, Ni is bonded in a 9-coordinate geometry to eight Pr and one Si atom. The Ni–Si bond length is 2.44 Å. In the third Ni site, Ni is bonded in a 9-coordinate geometry to eight Pr and one Si atom. The Ni–Si bond length is 2.46 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to six Pr and three Si atoms. There are two shorter (2.47 Å) and one longer (2.48 Å) Si–Si bond lengths. In the second Si site, Si is bonded in a 9-coordinate geometry to six Pr, two Ni, and one Si atom. The Si–Si bond length is 2.54 Å. In the third Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Si atom. In the fourth Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Si atom. In the fifth Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Si atom. In the sixth Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on Pr23Mg4Ni7 by Materials Project

Mg4Pr23Ni7 crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded to three Mg and nine Pr atoms to form a mixture of face and corner-sharing MgPr9Mg3 cuboctahedra. There are one shorter (3.17 Å) and two longer (3.18 Å) Mg–Mg bond lengths. There are a spread of Mg–Pr bond distances ranging from 3.44–3.71 Å. In the second Mg site, Mg is bonded to three equivalent Mg and nine Pr atoms to form face-sharing MgPr9Mg3 cuboctahedra. There are a spread of Mg–Pr bond distances ranging from 3.46–3.66 Å. There are nine inequivalent Pr sites. In the first Pr site, Pr is bonded in a bent 150 degrees geometry to two equivalent Mg, four Pr, and two Ni atoms. There are two shorter (3.78 Å) and two longer (3.80 Å) Pr–Pr bond lengths. There are one shorter (2.85 Å) and one longer (2.93 Å) Pr–Ni bond lengths. In the second Pr site, Pr is bonded in a 3-coordinate geometry to two equivalent Pr and three Ni atoms. Both Pr–Pr bond lengths are 3.78 Å. There are two shorter (2.97 Å) and one longer (3.03 Å) Pr–Ni bond lengths. In the third Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Pr and three equivalent Ni atoms. All Pr–Pr bond lengths are 4.07 Å. All Pr–Ni bond lengths are 2.94 Å. In the fourth Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two Mg, two equivalent Pr, and two equivalent Ni atoms. Both Pr–Pr bond lengths are 3.79 Å. Both Pr–Ni bond lengths are 2.89 Å. In the fifth Pr site, Pr is bonded in a 3-coordinate geometry to one Mg, eleven Pr, and two equivalent Ni atoms. There are a spread of Pr–Pr bond distances ranging from 3.52–3.76 Å. Both Pr–Ni bond lengths are 3.63 Å. In the sixth Pr site, Pr is bonded in a distorted water-like geometry to one Mg, one Pr, and four Ni atoms. There are two shorter (2.84 Å) and two longer (3.64 Å) Pr–Ni bond lengths. In the seventh Pr site, Pr is bonded in a 4-coordinate geometry to two equivalent Mg, ten Pr, and two Ni atoms. There are two shorter (3.60 Å) and two longer (3.72 Å) Pr–Pr bond lengths. There are one shorter (3.49 Å) and one longer (3.65 Å) Pr–Ni bond lengths. In the eighth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Mg, three equivalent Pr, and three equivalent Ni atoms. All Pr–Ni bond lengths are 2.89 Å. In the ninth Pr site, Pr is bonded in a 3-coordinate geometry to three Mg, two equivalent Pr, and three Ni atoms. All Pr–Ni bond lengths are 2.89 Å. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded in a 6-coordinate geometry to eight Pr atoms. In the second Ni site, Ni is bonded in a 6-coordinate geometry to nine Pr atoms. In the third Ni site, Ni is bonded in a 6-coordinate geometry to nine Pr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr3Pr10Al12Si18(N2O)18 by Materials Project

Sr(SrPr5Al6Si9(N2O)9)2 is Chalcostibite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional and consists of two strontium molecules and one SrPr5Al6Si9(N2O)9 framework. In the SrPr5Al6Si9(N2O)9 framework, Sr is bonded in a 5-coordinate geometry to five N and five O atoms. There are a spread of Sr–N bond distances ranging from 2.62–3.10 Å. There are a spread of Sr–O bond distances ranging from 2.65–3.09 Å. There are six inequivalent Pr sites. In the first Pr site, Pr is bonded in a 5-coordinate geometry to five N and five O atoms. There are a spread of Pr–N bond distances ranging from 2.55–3.09 Å. There are a spread of Pr–O bond distances ranging from 2.43–3.13 Å. In the second Pr site, Pr is bonded in a 5-coordinate geometry to five N and five O atoms. There are a spread of Pr–N bond distances ranging from 2.55–3.05 Å. There are a spread of Pr–O bond distances ranging from 2.41–3.10 Å. In the third Pr site, Pr is bonded in a 5-coordinate geometry to five N and five O atoms. There are a spread of Pr–N bond distances ranging from 2.53–3.11 Å. There are a spread of Pr–O bond distances ranging from 2.40–3.17 Å. In the fourth Pr site, Pr is bonded in a 2-coordinate geometry to five N and five O atoms. There are a spread of Pr–N bond distances ranging from 2.53–3.11 Å. There are a spread of Pr–O bond distances ranging from 2.42–3.18 Å. In the fifth Pr site, Pr is bonded in a 5-coordinate geometry to five N and five O atoms. There are a spread of Pr–N bond distances ranging from 2.55–3.07 Å. There are a spread of Pr–O bond distances ranging from 2.42–3.13 Å. In the sixth Pr site, Pr is bonded in a 5-coordinate geometry to five N and five O atoms. There are a spread of Pr–N bond distances ranging from 2.55–3.05 Å. There are a spread of Pr–O bond distances ranging from 2.47–3.10 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two equivalent AlN3O tetrahedra and corners with five SiN4 tetrahedra. There is two shorter (1.83 Å) and one longer (1.88 Å) Al–N bond length. The Al–O bond length is 1.80 Å. In the second Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two equivalent AlN3O tetrahedra and corners with five SiN3O tetrahedra. There is two shorter (1.84 Å) and one longer (1.88 Å) Al–N bond length. The Al–O bond length is 1.81 Å. In the third Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.83–1.89 Å. The Al–O bond length is 1.80 Å. In the fourth Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with five SiN4 tetrahedra. There is two shorter (1.84 Å) and one longer (1.87 Å) Al–N bond length. The Al–O bond length is 1.79 Å. In the fifth Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.83–1.88 Å. The Al–O bond length is 1.80 Å. In the sixth Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with five SiN4 tetrahedra. There is two shorter (1.83 Å) and one longer (1.88 Å) Al–N bond length. The Al–O bond length is 1.80 Å. In the seventh Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with five SiN3O tetrahedra. There is two shorter (1.83 Å) and one longer (1.89 Å) Al–N bond length. The Al–O bond length is 1.80 Å. There are eleven inequivalent Si sites. In the first Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two SiN3O tetrahedra and corners with four AlN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.74 Å. In the second Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three AlN3O tetrahedra and corners with three SiN4 tetrahedra. There is one shorter (1.74 Å) and two longer (1.75 Å) Si–N bond length. The Si–O bond length is 1.66 Å. In the third Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three AlN3O tetrahedra and corners with three SiN4 tetrahedra. There is one shorter (1.73 Å) and two longer (1.75 Å) Si–N bond length. The Si–O bond length is 1.67 Å. In the fourth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two equivalent SiN3O tetrahedra and corners with four AlN3O tetrahedra. There is two shorter (1.72 Å) and two longer (1.74 Å) Si–N bond length. In the fifth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three AlN3O tetrahedra and corners with three SiN3O tetrahedra. There is one shorter (1.73 Å) and two longer (1.75 Å) Si–N bond length. The Si–O bond length is 1.66 Å. In the sixth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three AlN3O tetrahedra and corners with three SiN3O tetrahedra. There is one shorter (1.72 Å) and two longer (1.76 Å) Si–N bond length. The Si–O bond length is 1.65 Å. In the seventh Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three AlN3O tetrahedra and corners with three SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.76 Å. The Si–O bond length is 1.67 Å. In the eighth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three AlN3O tetrahedra and corners with three SiN4 tetrahedra. There is two shorter (1.74 Å) and one longer (1.76 Å) Si–N bond length. The Si–O bond length is 1.66 Å. In the ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two SiN3O tetrahedra and corners with four AlN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.74 Å. In the tenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two SiN3O tetrahedra and corners with four AlN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.74 Å. In the eleventh Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three AlN3O tetrahedra and corners with three SiN3O tetrahedra. There is one shorter (1.73 Å) and two longer (1.75 Å) Si–N bond length. The Si–O bond length is 1.66 Å. There are twenty-one inequivalent N sites. In the first N site, N is bonded in a 4-coordinate geometry to one Pr, one Al, and two Si atoms. In the second N site, N is bonded in a trigonal planar geometry to one Pr, two Al, and one Si atom. In the third N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the fourth N site, N is bonded in a 2-coordinate geometry to one Sr, two Pr, and two Si atoms. In the fifth N site, N is bonded in a 2-coordinate geometry to one Sr, two Pr, and two Si atoms. In the sixth N site, N is bonded to one Pr, one Al, and two Si atoms to form distorted NPrAlSi2 trigonal pyramids that share corners with two OPr4 tetrahedra and corners with two NPrAlSi2 trigonal pyramids. In the seventh N site, N is bonded in a trigonal planar geometry to one Sr, two Al, and one Si atom. In the eighth N site, N is bonded to one Pr, one Al, and two Si atoms to form distorted NPrAlSi2 tetrahedra that share a cornercorner with one NPrAlSi2 tetrahedra, corners with two OSrPr3 tetrahedra, and a cornercorner with one NSrAlSi2 trigonal pyramid. In the ninth N site, N is bonded in a 2-coordinate geometry to one Sr, two Pr, and two Si atoms. In the tenth N site, N is bonded in a trigonal planar geometry to one Pr, two Al, and one Si atom. In the eleventh N site, N is bonded in a trigonal planar geometry to one Pr, two Al, and one Si atom. In the twelfth N site, N is bonded to one Pr, one Al, and two Si atoms to form distorted NPrAlSi2 tetrahedra that share a cornercorner with one NPrAlSi2 tetrahedra, corners with two OPr4 tetrahedra, and a cornercorner with one NSrAlSi2 trigonal pyramid. In the thirteenth N site, N is bonded to one Sr, one Al, and two Si atoms to form distorted NSrAlSi2 trigonal pyramids that share corners with two NPrAlSi2 tetrahedra and corners with two OSrPr3 tetrahedra. In the fourteenth N site, N is bonded in a trigonal planar geometry to one Pr, two Al, and one Si atom. In the fifteenth N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the sixteenth N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the seventeenth N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the eighteenth N site, N is bonded to one Pr, one Al, and two equivalent Si atoms to form distorted NPrAlSi2 trigonal pyramids that share corners with two equivalent OSrPr3 tetrahedra and corners with two equivalent NPrAlSi2 trigonal pyramids. In the nineteenth N site, N is bonded to one Pr, one Al, and two equivalent Si atoms to form distorted NPrAlSi2 trigonal pyramids that share corners with two equivalent OPr4 tetrahedra. In the twentieth N site, N is bonded in a trigonal planar geometry to one Pr, two equivalent Al, and one Si atom. In the twenty-first N site, N is bonded in a trigonal planar geometry to one Pr, two equivalent Al, and one Si atom. There are ten inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to three Pr, one Al, and one Si atom. In the second O site, O is bonded in a 2-coordinate geometry to three Pr, one Al, and one Si atom. In the third O site, O is bonded in a 2-coordinate geometry to one Sr, two Pr, one Al, and one Si atom. In the fourth O site, O is bonded to four Pr atoms to form distorted OPr4 tetrahedra that share corners with two NPrAlSi2 tetrahedra, corners with four OPr4 tetrahedra, and corners with two NPrAlSi2 trigonal pyramids. In the fifth O site, O is bonded to one Sr and three Pr atoms to form distorted OSrPr3 tetrahedra that share a cornercorner with one NPrAlSi2 tetrahedra, corners with four OPr4 tetrahedra, and corners with two NSrAlSi2 trigonal pyramids. In the sixth O site, O is bonded in a 2-coordinate geometry to one Sr, two Pr, one Al, and one Si atom. In the seventh O site, O is bonded in a 2-coordinate geometry to three Pr, one Al, and one Si atom. In the eighth O site, O is bonded in a 2-coordinate geometry to one Sr, two Pr, one Al, and one Si atom. In the ninth O site, O is bonded in a 2-coordinate geometry to three Pr, one Al, and one Si atom. In the tenth O site, O is bonded to one Sr and three Pr atoms to form OSrPr3 tetrahedra that share a cornercorner with one NPrAlSi2 tetrahedra, corners with four OPr4 tetrahedra, and corners with two NSrAlSi2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Pr16(Mo3O8)7 by Materials Project

Pr16(Mo3O8)7 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are eight inequivalent Pr sites. In the first Pr site, Pr is bonded in a 9-coordinate geometry to seven O atoms. There are a spread of Pr–O bond distances ranging from 2.36–2.73 Å. In the second Pr site, Pr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Pr–O bond distances ranging from 2.38–3.03 Å. In the third Pr site, Pr is bonded in a 5-coordinate geometry to six O atoms. There are a spread of Pr–O bond distances ranging from 2.42–3.04 Å. In the fourth Pr site, Pr is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Pr–O bond distances ranging from 2.39–2.86 Å. In the fifth Pr site, Pr is bonded in a 4-coordinate geometry to six O atoms. There are a spread of Pr–O bond distances ranging from 2.30–2.76 Å. In the sixth Pr site, Pr is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Pr–O bond distances ranging from 2.29–3.08 Å. In the seventh Pr site, Pr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Pr–O bond distances ranging from 2.34–3.23 Å. In the eighth Pr site, Pr is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Pr–O bond distances ranging from 2.35–2.70 Å. There are eleven inequivalent Mo sites. In the first Mo site, Mo is bonded to five O atoms to form MoO5 square pyramids that share a cornercorner with one MoO6 octahedra and corners with three MoO5 square pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Mo–O bond distances ranging from 2.00–2.15 Å. In the second Mo site, Mo is bonded to five O atoms to form MoO5 square pyramids that share a cornercorner with one MoO6 octahedra and corners with three MoO5 square pyramids. The corner-sharing octahedral tilt angles are 38°. There are a spread of Mo–O bond distances ranging from 2.00–2.13 Å. In the third Mo site, Mo is bonded to five O atoms to form a mixture of corner and edge-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.07–2.19 Å. In the fourth Mo site, Mo is bonded to five O atoms to form a mixture of corner and edge-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 1.99–2.14 Å. In the fifth Mo site, Mo is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Mo–O bond distances ranging from 2.06–2.15 Å. In the sixth Mo site, Mo is bonded to five O atoms to form corner-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 1.98–2.15 Å. In the seventh Mo site, Mo is bonded to five O atoms to form MoO5 square pyramids that share a cornercorner with one MoO6 octahedra and corners with three MoO5 square pyramids. The corner-sharing octahedral tilt angles are 41°. There are a spread of Mo–O bond distances ranging from 2.11–2.16 Å. In the eighth Mo site, Mo is bonded to five O atoms to form a mixture of corner and edge-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.06–2.15 Å. In the ninth Mo site, Mo is bonded to five O atoms to form a mixture of corner and edge-sharing MoO5 square pyramids. There are a spread of Mo–O bond distances ranging from 2.02–2.16 Å. In the tenth Mo site, Mo is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Mo–O bond distances ranging from 2.08–2.20 Å. In the eleventh Mo site, Mo is bonded to six O atoms to form corner-sharing MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.06–2.11 Å. There are twenty-eight inequivalent O sites. In the first O site, O is bonded to two Pr and two Mo atoms to form OPr2Mo2 trigonal pyramids that share corners with five OPr3Mo tetrahedra, corners with two equivalent OPr2Mo3 trigonal bipyramids, a cornercorner with one OPr2Mo2 trigonal pyramid, an edgeedge with one OPr3Mo tetrahedra, and an edgeedge with one OPr2Mo2 trigonal pyramid. In the second O site, O is bonded to two Pr and two Mo atoms to form OPr2Mo2 trigonal pyramids that share corners with five OPr3Mo tetrahedra, a cornercorner with one OPr2Mo3 trigonal bipyramid, a cornercorner with one OPr2Mo2 trigonal pyramid, and an edgeedge with one OPr2Mo2 trigonal pyramid. In the third O site, O is bonded in a 2-coordinate geometry to one Pr and two Mo atoms. In the fourth O site, O is bonded in a 5-coordinate geometry to four Pr and one Mo atom. In the fifth O site, O is bonded in a 4-coordinate geometry to two Pr and two Mo atoms. In the sixth O site, O is bonded to two Pr and two Mo atoms to form distorted OPr2Mo2 trigonal pyramids that share corners with five OPr3Mo tetrahedra, a cornercorner with one OPr2Mo2 trigonal pyramid, an edgeedge with one OPr2Mo2 tetrahedra, an edgeedge with one OPr2Mo3 trigonal bipyramid, and an edgeedge with one OPr2Mo2 trigonal pyramid. In the seventh O site, O is bonded to two Pr and two Mo atoms to form OPr2Mo2 trigonal pyramids that share corners with five OPr4 tetrahedra, a cornercorner with one OPr2Mo2 trigonal pyramid, an edgeedge with one OPr2Mo3 trigonal bipyramid, and an edgeedge with one OPr2Mo2 trigonal pyramid. In the eighth O site, O is bonded to two Pr and two Mo atoms to form a mixture of distorted corner and edge-sharing OPr2Mo2 tetrahedra. In the ninth O site, O is bonded in a 4-coordinate geometry to one Pr and three Mo atoms. In the tenth O site, O is bonded to two Pr and three Mo atoms to form distorted OPr2Mo3 trigonal bipyramids that share corners with two OPr2Mo2 tetrahedra, corners with three OPr2Mo2 trigonal pyramids, edges with three OPr3Mo tetrahedra, and edges with two OPr2Mo2 trigonal pyramids. In the eleventh O site, O is bonded to three Pr and one Mo atom to form distorted OPr3Mo tetrahedra that share corners with four OPr4 tetrahedra, corners with four OPr2Mo2 trigonal pyramids, edges with two OPr3Mo tetrahedra, and an edgeedge with one OPr2Mo3 trigonal bipyramid. In the twelfth O site, O is bonded to three Pr and one Mo atom to form OPr3Mo tetrahedra that share corners with five OPr4 tetrahedra, a cornercorner with one OPr2Mo2 trigonal pyramid, an edgeedge with one OPr3Mo tetrahedra, an edgeedge with one OPr2Mo3 trigonal bipyramid, and an edgeedge with one OPr2Mo2 trigonal pyramid. In the thirteenth O site, O is bonded to four Pr atoms to form distorted OPr4 tetrahedra that share corners with eight OPr3Mo tetrahedra, corners with five OPr2Mo2 trigonal pyramids, and an edgeedge with one OPr2Mo3 trigonal bipyramid. In the fourteenth O site, O is bonded to four Pr atoms to form OPr4 tetrahedra that share corners with nine OPr3Mo tetrahedra and corners with three OPr2Mo2 trigonal pyramids. In the fifteenth O site, O is bonded in a distorted L-shaped geometry to one Pr and two Mo atoms. In the sixteenth O site, O is bonded to two Pr and two Mo atoms to form distorted OPr2Mo2 tetrahedra that share corners with four OPr4 tetrahedra, a cornercorner with one OPr2Mo2 trigonal pyramid, and edges with two OPr2Mo2 tetrahedra. In the seventeenth O site, O is bonded to two Pr and two Mo atoms to form distorted OPr2Mo2 tetrahedra that share corners with four OPr4 tetrahedra, a cornercorner with one OPr2Mo3 trigonal bipyramid, corners with two OPr2Mo2 trigonal pyramids, and an edgeedge with one OPr2Mo2 tetrahedra. In the eighteenth O site, O is bonded in a distorted T-shaped geometry to one Pr and two Mo atoms. In the nineteenth O site, O is bonded in a 4-coordinate geometry to two Pr and two Mo atoms. In the twentieth O site, O is bonded to two Pr and two Mo atoms to form distorted corner-sharing OPr2Mo2 tetrahedra. In the twenty-first O site, O is bonded in a distorted T-shaped geometry to two Pr and two Mo atoms. In the twenty-second O site, O is bonded in a distorted trigonal non-coplanar geometry to one Pr and two Mo atoms. In the twenty-third O site, O is bonded in a 3-coordinate geometry to one Pr and two Mo atoms. In the twenty-fourth O site, O is bonded in a 5-coordinate geometry to two Pr and three Mo atoms. In the twenty-fifth O site, O is bonded in a rectangular see-saw-like geometry to one Pr and three Mo atoms. In the twenty-sixth O site, O is bonded to three Pr and one Mo atom to form OPr3Mo tetrahedra that share corners with seven OPr3Mo tetrahedra, a cornercorner with one OPr2Mo3 trigonal bipyramid, corners with two OPr2Mo2 trigonal pyramids, and an edgeedge with one OPr3Mo tetrahedra. In the twenty-seventh O site, O is bonded in a 4-coordinate geometry to three Pr and one Mo atom. In the twenty-eighth O site, O is bonded in a 4-coordinate geometry to two Pr and two Mo atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr5O9 by Materials Project

Pr5O9 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are eleven inequivalent Pr+3.60+ sites. In the first Pr+3.60+ site, Pr+3.60+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pr–O bond distances ranging from 2.35–2.60 Å. In the second Pr+3.60+ site, Pr+3.60+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.43–2.89 Å. In the third Pr+3.60+ site, Pr+3.60+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.33–2.99 Å. In the fourth Pr+3.60+ site, Pr+3.60+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.38–2.96 Å. In the fifth Pr+3.60+ site, Pr+3.60+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.36–2.51 Å. In the sixth Pr+3.60+ site, Pr+3.60+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.33–2.58 Å. In the seventh Pr+3.60+ site, Pr+3.60+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.38–2.86 Å. In the eighth Pr+3.60+ site, Pr+3.60+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pr–O bond distances ranging from 2.27–2.54 Å. In the ninth Pr+3.60+ site, Pr+3.60+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.38–2.91 Å. In the tenth Pr+3.60+ site, Pr+3.60+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.33–2.57 Å. In the eleventh Pr+3.60+ site, Pr+3.60+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.44–2.83 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the second O2- site, O2- is bonded in a 5-coordinate geometry to four Pr+3.60+ and one O2- atom. The O–O bond length is 1.54 Å. In the third O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of distorted edge and corner-sharing OPr4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to four Pr+3.60+ and one O2- atom. The O–O bond length is 1.53 Å. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to four Pr+3.60+ and one O2- atom. The O–O bond length is 1.53 Å. In the ninth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to four Pr+3.60+ and one O2- atom. The O–O bond length is 1.53 Å. In the eleventh O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Pr+3.60+ and one O2- atom. In the fourteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Pr+3.60+ and one O2- atom. In the seventeenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Pr5O9 by Materials Project

Pr5O9 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are ten inequivalent Pr+3.60+ sites. In the first Pr+3.60+ site, Pr+3.60+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.41–2.72 Å. In the second Pr+3.60+ site, Pr+3.60+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.44–2.69 Å. In the third Pr+3.60+ site, Pr+3.60+ is bonded to seven O2- atoms to form distorted PrO7 pentagonal bipyramids that share a cornercorner with one PrO7 hexagonal pyramid, a cornercorner with one PrO6 octahedra, edges with two equivalent PrO7 hexagonal pyramids, an edgeedge with one PrO6 octahedra, and edges with two PrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of Pr–O bond distances ranging from 2.39–2.49 Å. In the fourth Pr+3.60+ site, Pr+3.60+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.45–2.63 Å. In the fifth Pr+3.60+ site, Pr+3.60+ is bonded to seven O2- atoms to form distorted PrO7 hexagonal pyramids that share a cornercorner with one PrO6 octahedra, a cornercorner with one PrO7 pentagonal bipyramid, an edgeedge with one PrO7 hexagonal pyramid, and edges with three PrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of Pr–O bond distances ranging from 2.37–2.52 Å. In the sixth Pr+3.60+ site, Pr+3.60+ is bonded to seven O2- atoms to form distorted PrO7 pentagonal bipyramids that share a cornercorner with one PrO6 octahedra, corners with two PrO7 pentagonal bipyramids, an edgeedge with one PrO6 octahedra, and edges with two PrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of Pr–O bond distances ranging from 2.37–2.56 Å. In the seventh Pr+3.60+ site, Pr+3.60+ is bonded to seven O2- atoms to form distorted PrO7 pentagonal bipyramids that share a cornercorner with one PrO6 octahedra, corners with two PrO7 pentagonal bipyramids, an edgeedge with one PrO6 octahedra, and edges with three PrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Pr–O bond distances ranging from 2.39–2.50 Å. In the eighth Pr+3.60+ site, Pr+3.60+ is bonded to seven O2- atoms to form distorted PrO7 pentagonal bipyramids that share a cornercorner with one PrO6 octahedra, corners with two PrO7 pentagonal bipyramids, an edgeedge with one PrO7 hexagonal pyramid, and an edgeedge with one PrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Pr–O bond distances ranging from 2.42–2.47 Å. In the ninth Pr+3.60+ site, Pr+3.60+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Pr–O bond distances ranging from 2.37–2.59 Å. In the tenth Pr+3.60+ site, Pr+3.60+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing PrO6 octahedra. There are a spread of Pr–O bond distances ranging from 2.35–2.41 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the second O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the third O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fourth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the eighth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the ninth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of distorted edge and corner-sharing OPr4 tetrahedra. In the tenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Pr+3.60+ atoms to form a mixture of edge and corner-sharing OPr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Pr8(BCl)7 by Materials Project

Pr8(BCl)7 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight inequivalent Pr+3.50+ sites. In the first Pr+3.50+ site, Pr+3.50+ is bonded in a 7-coordinate geometry to five B3- and four Cl1- atoms. There are a spread of Pr–B bond distances ranging from 2.61–3.01 Å. There are a spread of Pr–Cl bond distances ranging from 2.92–3.26 Å. In the second Pr+3.50+ site, Pr+3.50+ is bonded in a 7-coordinate geometry to five B3- and four Cl1- atoms. There are a spread of Pr–B bond distances ranging from 2.62–3.00 Å. There are a spread of Pr–Cl bond distances ranging from 2.91–3.26 Å. In the third Pr+3.50+ site, Pr+3.50+ is bonded to one B3- and five Cl1- atoms to form distorted PrBCl5 pentagonal pyramids that share corners with two BPr4B3 pentagonal bipyramids and an edgeedge with one PrBCl5 pentagonal pyramid. The Pr–B bond length is 2.66 Å. There are a spread of Pr–Cl bond distances ranging from 2.88–3.03 Å. In the fourth Pr+3.50+ site, Pr+3.50+ is bonded in a 6-coordinate geometry to one B3- and five Cl1- atoms. The Pr–B bond length is 2.49 Å. There are a spread of Pr–Cl bond distances ranging from 2.88–3.03 Å. In the fifth Pr+3.50+ site, Pr+3.50+ is bonded in a 9-coordinate geometry to five B3- and four Cl1- atoms. There are a spread of Pr–B bond distances ranging from 2.63–2.94 Å. There are a spread of Pr–Cl bond distances ranging from 3.13–3.28 Å. In the sixth Pr+3.50+ site, Pr+3.50+ is bonded in a 9-coordinate geometry to six B3- and three Cl1- atoms. There are a spread of Pr–B bond distances ranging from 2.71–2.74 Å. There are one shorter (2.97 Å) and two longer (3.06 Å) Pr–Cl bond lengths. In the seventh Pr+3.50+ site, Pr+3.50+ is bonded in a 7-coordinate geometry to eight B3- and three Cl1- atoms. There are a spread of Pr–B bond distances ranging from 2.70–3.06 Å. There are one shorter (2.96 Å) and two longer (3.15 Å) Pr–Cl bond lengths. In the eighth Pr+3.50+ site, Pr+3.50+ is bonded in a 9-coordinate geometry to five B3- and four Cl1- atoms. There are a spread of Pr–B bond distances ranging from 2.63–2.93 Å. There are a spread of Pr–Cl bond distances ranging from 3.13–3.35 Å. There are seven inequivalent B3- sites. In the first B3- site, B3- is bonded in a 5-coordinate geometry to six Pr+3.50+ and three B3- atoms. There are a spread of B–B bond distances ranging from 1.68–1.96 Å. In the second B3- site, B3- is bonded in a 9-coordinate geometry to six Pr+3.50+ and three B3- atoms. There is one shorter (1.68 Å) and one longer (1.90 Å) B–B bond length. In the third B3- site, B3- is bonded to four Pr+3.50+ and three B3- atoms to form distorted BPr4B3 pentagonal bipyramids that share a cornercorner with one PrBCl5 pentagonal pyramid, an edgeedge with one BPr5B octahedra, edges with two BPr4B3 pentagonal bipyramids, and a faceface with one BPr4B3 pentagonal bipyramid. There is one shorter (1.64 Å) and one longer (1.74 Å) B–B bond length. In the fourth B3- site, B3- is bonded in a 7-coordinate geometry to five Pr+3.50+ and two B3- atoms. The B–B bond length is 1.74 Å. In the fifth B3- site, B3- is bonded to five Pr+3.50+ and one B3- atom to form edge-sharing BPr5B octahedra. The B–B bond length is 1.74 Å. In the sixth B3- site, B3- is bonded in a 3-coordinate geometry to six Pr+3.50+ and three B3- atoms. In the seventh B3- site, B3- is bonded to four Pr+3.50+ and three B3- atoms to form distorted BPr4B3 pentagonal bipyramids that share a cornercorner with one PrBCl5 pentagonal pyramid, an edgeedge with one BPr5B octahedra, edges with two BPr4B3 pentagonal bipyramids, and a faceface with one BPr4B3 pentagonal bipyramid. There are eight inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five Pr+3.50+ atoms. In the second Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five Pr+3.50+ atoms. In the third Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three Pr+3.50+ atoms. In the fourth Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five Pr+3.50+ atoms. In the fifth Cl1- site, Cl1- is bonded in a 6-coordinate geometry to six Pr+3.50+ atoms. In the sixth Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five Pr+3.50+ atoms. In the seventh Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three Pr+3.50+ atoms. In the eighth Cl1- site, Cl1- is bonded in a 6-coordinate geometry to six Pr+3.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr9Be4O20 by Materials Project

Be4Pr9O20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Be2+ sites. In the first Be2+ site, Be2+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Be–O bond distances ranging from 1.57–1.68 Å. In the second Be2+ site, Be2+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Be–O bond distances ranging from 1.59–1.65 Å. In the third Be2+ site, Be2+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Be–O bond distances ranging from 1.63–1.69 Å. In the fourth Be2+ site, Be2+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Be–O bond distances ranging from 1.63–1.68 Å. There are nine inequivalent Pr+3.56+ sites. In the first Pr+3.56+ site, Pr+3.56+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pr–O bond distances ranging from 2.45–2.76 Å. In the second Pr+3.56+ site, Pr+3.56+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.42–2.66 Å. In the third Pr+3.56+ site, Pr+3.56+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.37–2.77 Å. In the fourth Pr+3.56+ site, Pr+3.56+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pr–O bond distances ranging from 2.43–2.96 Å. In the fifth Pr+3.56+ site, Pr+3.56+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pr–O bond distances ranging from 2.48–2.74 Å. In the sixth Pr+3.56+ site, Pr+3.56+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.34–2.66 Å. In the seventh Pr+3.56+ site, Pr+3.56+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.40–2.89 Å. In the eighth Pr+3.56+ site, Pr+3.56+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pr–O bond distances ranging from 2.41–2.86 Å. In the ninth Pr+3.56+ site, Pr+3.56+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Pr–O bond distances ranging from 2.45–2.82 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one Be2+ and four Pr+3.56+ atoms. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Be2+ and four Pr+3.56+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal bipyramidal geometry to five Pr+3.56+ atoms. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Be2+ and three Pr+3.56+ atoms. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Be2+ and four Pr+3.56+ atoms. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Be2+ and five Pr+3.56+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Be2+ and three Pr+3.56+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Pr+3.56+ atoms. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to one Be2+ and three Pr+3.56+ atoms. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one Be2+ and three Pr+3.56+ atoms. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to one Be2+ and three Pr+3.56+ atoms. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to one Be2+ and four Pr+3.56+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to five Pr+3.56+ atoms. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Be2+ and four Pr+3.56+ atoms. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Be2+ and four Pr+3.56+ atoms. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Be2+ and four Pr+3.56+ atoms. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to one Be2+ and four Pr+3.56+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Pr+3.56+ atoms. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Be2+ and three Pr+3.56+ atoms. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to one Be2+ and four Pr+3.56+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr4In21Pd10 by Materials Project

Pr4Pd10In21 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Pr sites. In the first Pr site, Pr is bonded in a 2-coordinate geometry to four Pd and ten In atoms. There are a spread of Pr–Pd bond distances ranging from 3.41–3.53 Å. There are a spread of Pr–In bond distances ranging from 3.23–3.63 Å. In the second Pr site, Pr is bonded in a 2-coordinate geometry to four Pd and eleven In atoms. There are a spread of Pr–Pd bond distances ranging from 3.35–3.46 Å. There are a spread of Pr–In bond distances ranging from 3.23–3.90 Å. In the third Pr site, Pr is bonded in a 2-coordinate geometry to four Pd and eleven In atoms. There are a spread of Pr–Pd bond distances ranging from 3.36–3.46 Å. There are a spread of Pr–In bond distances ranging from 3.23–3.93 Å. In the fourth Pr site, Pr is bonded in a 2-coordinate geometry to four Pd and ten In atoms. There are a spread of Pr–Pd bond distances ranging from 3.41–3.52 Å. There are a spread of Pr–In bond distances ranging from 3.22–3.61 Å. There are ten inequivalent Pd sites. In the first Pd site, Pd is bonded in a 7-coordinate geometry to two equivalent Pr and seven In atoms. There are a spread of Pd–In bond distances ranging from 2.71–2.88 Å. In the second Pd site, Pd is bonded in a 9-coordinate geometry to two equivalent Pr and seven In atoms. There are a spread of Pd–In bond distances ranging from 2.79–2.90 Å. In the third Pd site, Pd is bonded in a 10-coordinate geometry to two equivalent Pr and eight In atoms. There are a spread of Pd–In bond distances ranging from 2.80–3.25 Å. In the fourth Pd site, Pd is bonded in a 9-coordinate geometry to two equivalent Pr and seven In atoms. There are a spread of Pd–In bond distances ranging from 2.71–2.88 Å. In the fifth Pd site, Pd is bonded in a 9-coordinate geometry to two equivalent Pr and seven In atoms. There are a spread of Pd–In bond distances ranging from 2.78–2.90 Å. In the sixth Pd site, Pd is bonded in a 10-coordinate geometry to two equivalent Pr and eight In atoms. There are a spread of Pd–In bond distances ranging from 2.79–3.22 Å. In the seventh Pd site, Pd is bonded in a 9-coordinate geometry to two equivalent Pr and seven In atoms. There are a spread of Pd–In bond distances ranging from 2.76–2.92 Å. In the eighth Pd site, Pd is bonded in a 9-coordinate geometry to nine In atoms. There are a spread of Pd–In bond distances ranging from 2.83–2.93 Å. In the ninth Pd site, Pd is bonded in a 9-coordinate geometry to two equivalent Pr and seven In atoms. There are a spread of Pd–In bond distances ranging from 2.75–2.90 Å. In the tenth Pd site, Pd is bonded in a 9-coordinate geometry to nine In atoms. There are a spread of Pd–In bond distances ranging from 2.82–2.92 Å. There are twenty-one inequivalent In sites. In the first In site, In is bonded in a 3-coordinate geometry to one Pr and four Pd atoms. In the second In site, In is bonded in a 5-coordinate geometry to two equivalent Pr and three Pd atoms. In the third In site, In is bonded in a 4-coordinate geometry to three Pr and four Pd atoms. In the fourth In site, In is bonded in a 5-coordinate geometry to two equivalent Pr and three Pd atoms. In the fifth In site, In is bonded in a 4-coordinate geometry to one Pr and four Pd atoms. In the sixth In site, In is bonded in a 3-coordinate geometry to three Pr and three Pd atoms. In the seventh In site, In is bonded in a 5-coordinate geometry to two Pr and five Pd atoms. In the eighth In site, In is bonded in a 3-coordinate geometry to three Pr and three Pd atoms. In the ninth In site, In is bonded in a 4-coordinate geometry to three Pr and four Pd atoms. In the tenth In site, In is bonded in a 1-coordinate geometry to one Pr and three Pd atoms. In the eleventh In site, In is bonded in a 5-coordinate geometry to two Pr and five Pd atoms. In the twelfth In site, In is bonded in a 3-coordinate geometry to one Pr and three Pd atoms. In the thirteenth In site, In is bonded in a 4-coordinate geometry to three Pr and four Pd atoms. In the fourteenth In site, In is bonded in a 4-coordinate geometry to three Pr and four Pd atoms. In the fifteenth In site, In is bonded in a 12-coordinate geometry to four Pd atoms. In the sixteenth In site, In is bonded in a 3-coordinate geometry to three Pr and three Pd atoms. In the seventeenth In site, In is bonded in a 5-coordinate geometry to two equivalent Pr and three Pd atoms. In the eighteenth In site, In is bonded in a 3-coordinate geometry to one Pr and four Pd atoms. In the nineteenth In site, In is bonded in a 3-coordinate geometry to three Pr and three Pd atoms. In the twentieth In site, In is bonded in a 5-coordinate geometry to two equivalent Pr and three Pd atoms. In the twenty-first In site, In is bonded in a 4-coordinate geometry to one Pr and four Pd atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr7Y(Fe14B)4 by Materials Project

Pr7Y(Fe14B)4 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are five inequivalent Pr sites. In the first Pr site, Pr is bonded in a 1-coordinate geometry to one Y, sixteen Fe, and one B atom. The Pr–Y bond length is 3.78 Å. There are a spread of Pr–Fe bond distances ranging from 3.07–3.41 Å. The Pr–B bond length is 2.91 Å. In the second Pr site, Pr is bonded in a 1-coordinate geometry to sixteen Fe and one B atom. There are a spread of Pr–Fe bond distances ranging from 3.08–3.38 Å. The Pr–B bond length is 2.92 Å. In the third Pr site, Pr is bonded in a 1-coordinate geometry to sixteen Fe and one B atom. There are a spread of Pr–Fe bond distances ranging from 3.07–3.38 Å. The Pr–B bond length is 2.91 Å. In the fourth Pr site, Pr is bonded in a 12-coordinate geometry to sixteen Fe and two equivalent B atoms. There are a spread of Pr–Fe bond distances ranging from 3.04–3.27 Å. Both Pr–B bond lengths are 3.26 Å. In the fifth Pr site, Pr is bonded in a 12-coordinate geometry to sixteen Fe and two B atoms. There are a spread of Pr–Fe bond distances ranging from 3.05–3.27 Å. Both Pr–B bond lengths are 3.26 Å. Y is bonded in a 12-coordinate geometry to two equivalent Pr, sixteen Fe, and two equivalent B atoms. There are a spread of Y–Fe bond distances ranging from 3.02–3.27 Å. Both Y–B bond lengths are 3.24 Å. There are eighteen inequivalent Fe sites. In the first Fe site, Fe is bonded in a 2-coordinate geometry to one Pr, one Y, and twelve Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.62–2.76 Å. In the second Fe site, Fe is bonded in a 2-coordinate geometry to two Pr and twelve Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.64–2.78 Å. In the third Fe site, Fe is bonded in a 2-coordinate geometry to two Pr and twelve Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.64–2.78 Å. In the fourth Fe site, Fe is bonded in a distorted q6 geometry to one Pr, one Y, and ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.38–2.54 Å. In the fifth Fe site, Fe is bonded to two Pr and ten Fe atoms to form distorted FePr2Fe10 cuboctahedra that share corners with eight FePr3YFe8 cuboctahedra, an edgeedge with one FePr3Fe9 cuboctahedra, and faces with ten FePr2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.40–2.53 Å. In the sixth Fe site, Fe is bonded to two Pr and ten Fe atoms to form distorted FePr2Fe10 cuboctahedra that share corners with eight FePr4Fe8 cuboctahedra, edges with two FePr3Fe9 cuboctahedra, and faces with ten FePr2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.40–2.53 Å. In the seventh Fe site, Fe is bonded to two Pr and ten Fe atoms to form distorted FePr2Fe10 cuboctahedra that share corners with ten FePr4Fe8 cuboctahedra, edges with two FePr3Fe9 cuboctahedra, and faces with ten FePr2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.40–2.53 Å. In the eighth Fe site, Fe is bonded to two equivalent Pr, one Y, and nine Fe atoms to form distorted FePr2YFe9 cuboctahedra that share corners with fourteen FePr4Fe8 cuboctahedra, an edgeedge with one FePr3Fe9 cuboctahedra, and faces with ten FePr3YFe8 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.57 Å. In the ninth Fe site, Fe is bonded to three Pr and nine Fe atoms to form distorted FePr3Fe9 cuboctahedra that share corners with ten FePr3YFe8 cuboctahedra, edges with three FePr2YFe9 cuboctahedra, and faces with ten FePr3YFe8 cuboctahedra. There are one shorter (2.51 Å) and two longer (2.57 Å) Fe–Fe bond lengths. In the tenth Fe site, Fe is bonded to three Pr and nine Fe atoms to form distorted FePr3Fe9 cuboctahedra that share corners with thirteen FePr3YFe8 cuboctahedra, edges with three FePr3Fe9 cuboctahedra, and faces with ten FePr2Fe10 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.58 Å. In the eleventh Fe site, Fe is bonded in a distorted single-bond geometry to one Pr, one Y, seven Fe, and one B atom. The Fe–Fe bond length is 2.57 Å. The Fe–B bond length is 2.10 Å. In the twelfth Fe site, Fe is bonded in a distorted single-bond geometry to two Pr, seven Fe, and one B atom. The Fe–Fe bond length is 2.59 Å. The Fe–B bond length is 2.10 Å. In the thirteenth Fe site, Fe is bonded in a distorted single-bond geometry to two Pr, seven Fe, and one B atom. The Fe–Fe bond length is 2.58 Å. The Fe–B bond length is 2.10 Å. In the fourteenth Fe site, Fe is bonded in a distorted single-bond geometry to two Pr, seven Fe, and one B atom. The Fe–Fe bond length is 2.59 Å. The Fe–B bond length is 2.10 Å. In the fifteenth Fe site, Fe is bonded in a distorted L-shaped geometry to one Pr, one Y, four Fe, and two equivalent B atoms. Both Fe–B bond lengths are 2.07 Å. In the sixteenth Fe site, Fe is bonded in a distorted L-shaped geometry to two equivalent Pr, four Fe, and two B atoms. Both Fe–B bond lengths are 2.07 Å. In the seventeenth Fe site, Fe is bonded to three Pr, one Y, and eight Fe atoms to form FePr3YFe8 cuboctahedra that share corners with sixteen FePr3YFe8 cuboctahedra and faces with ten FePr2YFe9 cuboctahedra. In the eighteenth Fe site, Fe is bonded to four Pr and eight Fe atoms to form FePr4Fe8 cuboctahedra that share corners with twenty FePr4Fe8 cuboctahedra and faces with ten FePr3Fe9 cuboctahedra. There are three inequivalent B sites. In the first B site, B is bonded in a 6-coordinate geometry to two Pr, one Y, and six Fe atoms. In the second B site, B is bonded in a 6-coordinate geometry to three Pr and six Fe atoms. In the third B site, B is bonded in a 6-coordinate geometry to three Pr and six Fe atoms.

36 MATERIALS SCIENCE↗