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Materials Data on Pr23Cd4Ir7 by Materials Project

Pr23Ir7Cd4 crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are nine inequivalent Pr sites. In the first Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two equivalent Ir and two Cd atoms. Both Pr–Ir bond lengths are 2.91 Å. There are one shorter (3.68 Å) and one longer (3.71 Å) Pr–Cd bond lengths. In the second Pr site, Pr is bonded in a 3-coordinate geometry to three Ir atoms. There are two shorter (2.98 Å) and one longer (3.03 Å) Pr–Ir bond lengths. In the third Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two Ir and two equivalent Cd atoms. There are one shorter (2.87 Å) and one longer (2.92 Å) Pr–Ir bond lengths. Both Pr–Cd bond lengths are 3.66 Å. In the fourth Pr site, Pr is bonded in a 3-coordinate geometry to three Ir and three Cd atoms. There are two shorter (2.94 Å) and one longer (2.96 Å) Pr–Ir bond lengths. There are two shorter (3.59 Å) and one longer (3.62 Å) Pr–Cd bond lengths. In the fifth Pr site, Pr is bonded in a 3-coordinate geometry to two equivalent Ir and one Cd atom. Both Pr–Ir bond lengths are 3.65 Å. The Pr–Cd bond length is 3.40 Å. In the sixth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Ir atoms. All Pr–Ir bond lengths are 2.96 Å. In the seventh Pr site, Pr is bonded in a 2-coordinate geometry to four Ir and one Cd atom. There are two shorter (2.91 Å) and two longer (3.64 Å) Pr–Ir bond lengths. The Pr–Cd bond length is 3.42 Å. In the eighth Pr site, Pr is bonded in a 4-coordinate geometry to two Ir and two equivalent Cd atoms. There are one shorter (3.48 Å) and one longer (3.62 Å) Pr–Ir bond lengths. Both Pr–Cd bond lengths are 3.45 Å. In the ninth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Ir and three equivalent Cd atoms. All Pr–Ir bond lengths are 2.93 Å. All Pr–Cd bond lengths are 3.60 Å. There are three inequivalent Ir sites. In the first Ir site, Ir is bonded in a 6-coordinate geometry to nine Pr atoms. In the second Ir site, Ir is bonded in a 6-coordinate geometry to eight Pr atoms. In the third Ir site, Ir is bonded in a 6-coordinate geometry to nine Pr atoms. There are two inequivalent Cd sites. In the first Cd site, Cd is bonded to nine Pr and three equivalent Cd atoms to form face-sharing CdPr9Cd3 cuboctahedra. All Cd–Cd bond lengths are 3.20 Å. In the second Cd site, Cd is bonded to nine Pr and three Cd atoms to form a mixture of distorted corner and face-sharing CdPr9Cd3 cuboctahedra. Both Cd–Cd bond lengths are 3.24 Å.

36 MATERIALS SCIENCE↗

Materials Data on Pr23Cd4Ru7 by Materials Project

Pr23Ru7Cd4 crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are nine inequivalent Pr sites. In the first Pr site, Pr is bonded in a 2-coordinate geometry to four Ru and one Cd atom. There are two shorter (2.92 Å) and two longer (3.64 Å) Pr–Ru bond lengths. The Pr–Cd bond length is 3.41 Å. In the second Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Ru atoms. All Pr–Ru bond lengths are 2.98 Å. In the third Pr site, Pr is bonded in a 3-coordinate geometry to three Ru and three Cd atoms. There are two shorter (2.92 Å) and one longer (2.96 Å) Pr–Ru bond lengths. There are two shorter (3.59 Å) and one longer (3.64 Å) Pr–Cd bond lengths. In the fourth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Ru and three equivalent Cd atoms. All Pr–Ru bond lengths are 2.90 Å. All Pr–Cd bond lengths are 3.59 Å. In the fifth Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two equivalent Ru and two Cd atoms. Both Pr–Ru bond lengths are 2.84 Å. There are one shorter (3.67 Å) and one longer (3.69 Å) Pr–Cd bond lengths. In the sixth Pr site, Pr is bonded in a bent 150 degrees geometry to two Ru and two equivalent Cd atoms. There are one shorter (2.78 Å) and one longer (2.83 Å) Pr–Ru bond lengths. Both Pr–Cd bond lengths are 3.66 Å. In the seventh Pr site, Pr is bonded in a 3-coordinate geometry to two equivalent Ru and one Cd atom. Both Pr–Ru bond lengths are 3.58 Å. The Pr–Cd bond length is 3.39 Å. In the eighth Pr site, Pr is bonded in a 3-coordinate geometry to three Ru atoms. There are two shorter (2.93 Å) and one longer (3.01 Å) Pr–Ru bond lengths. In the ninth Pr site, Pr is bonded in a 4-coordinate geometry to two Ru and two equivalent Cd atoms. There are one shorter (3.40 Å) and one longer (3.61 Å) Pr–Ru bond lengths. Both Pr–Cd bond lengths are 3.44 Å. There are three inequivalent Ru sites. In the first Ru site, Ru is bonded in a 6-coordinate geometry to nine Pr atoms. In the second Ru site, Ru is bonded in a 6-coordinate geometry to nine Pr atoms. In the third Ru site, Ru is bonded in a 6-coordinate geometry to eight Pr atoms. There are two inequivalent Cd sites. In the first Cd site, Cd is bonded to nine Pr and three Cd atoms to form a mixture of distorted corner and face-sharing CdPr9Cd3 cuboctahedra. There are one shorter (3.13 Å) and two longer (3.19 Å) Cd–Cd bond lengths. In the second Cd site, Cd is bonded to nine Pr and three equivalent Cd atoms to form face-sharing CdPr9Cd3 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Pr9Ni24Sn49 by Materials Project

Pr9Ni24Sn49 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are four inequivalent Pr sites. In the first Pr site, Pr is bonded in a 12-coordinate geometry to six Ni and twelve Sn atoms. There are a spread of Pr–Ni bond distances ranging from 3.29–3.34 Å. There are a spread of Pr–Sn bond distances ranging from 3.32–3.65 Å. In the second Pr site, Pr is bonded in a 12-coordinate geometry to six Ni and twelve Sn atoms. There are four shorter (3.30 Å) and two longer (3.31 Å) Pr–Ni bond lengths. There are a spread of Pr–Sn bond distances ranging from 3.32–3.68 Å. In the third Pr site, Pr is bonded in a 12-coordinate geometry to six Ni and twelve Sn atoms. There are four shorter (3.30 Å) and two longer (3.32 Å) Pr–Ni bond lengths. There are a spread of Pr–Sn bond distances ranging from 3.35–3.64 Å. In the fourth Pr site, Pr is bonded in a cuboctahedral geometry to twelve Sn atoms. There are a spread of Pr–Sn bond distances ranging from 3.44–3.50 Å. There are eight inequivalent Ni sites. In the first Ni site, Ni is bonded in a 8-coordinate geometry to two Pr and six Sn atoms. There are a spread of Ni–Sn bond distances ranging from 2.56–2.68 Å. In the second Ni site, Ni is bonded in a 8-coordinate geometry to two Pr and six Sn atoms. There are a spread of Ni–Sn bond distances ranging from 2.58–2.69 Å. In the third Ni site, Ni is bonded in a 8-coordinate geometry to two Pr and six Sn atoms. There are a spread of Ni–Sn bond distances ranging from 2.58–2.73 Å. In the fourth Ni site, Ni is bonded in a 8-coordinate geometry to two Pr and six Sn atoms. There are a spread of Ni–Sn bond distances ranging from 2.57–2.69 Å. In the fifth Ni site, Ni is bonded in a 8-coordinate geometry to two equivalent Pr and six Sn atoms. There are a spread of Ni–Sn bond distances ranging from 2.57–2.72 Å. In the sixth Ni site, Ni is bonded in a 8-coordinate geometry to two equivalent Pr and six Sn atoms. There are a spread of Ni–Sn bond distances ranging from 2.56–2.68 Å. In the seventh Ni site, Ni is bonded in a 8-coordinate geometry to two equivalent Pr and six Sn atoms. There are a spread of Ni–Sn bond distances ranging from 2.55–2.67 Å. In the eighth Ni site, Ni is bonded in a 8-coordinate geometry to two equivalent Pr and six Sn atoms. There are a spread of Ni–Sn bond distances ranging from 2.56–2.70 Å. There are seventeen inequivalent Sn sites. In the first Sn site, Sn is bonded in a 5-coordinate geometry to two Pr, three Ni, and one Sn atom. The Sn–Sn bond length is 3.30 Å. In the second Sn site, Sn is bonded in a 6-coordinate geometry to three Pr and three Ni atoms. In the third Sn site, Sn is bonded in a 6-coordinate geometry to three Pr and three Ni atoms. In the fourth Sn site, Sn is bonded in a 5-coordinate geometry to two Pr, three Ni, and one Sn atom. The Sn–Sn bond length is 3.32 Å. In the fifth Sn site, Sn is bonded in a 5-coordinate geometry to two equivalent Pr, three Ni, and one Sn atom. The Sn–Sn bond length is 3.26 Å. In the sixth Sn site, Sn is bonded in a 6-coordinate geometry to three Pr and three Ni atoms. In the seventh Sn site, Sn is bonded in a 5-coordinate geometry to two equivalent Pr, three Ni, and one Sn atom. The Sn–Sn bond length is 3.34 Å. In the eighth Sn site, Sn is bonded in a 6-coordinate geometry to three Pr and three Ni atoms. In the ninth Sn site, Sn is bonded in a 3-coordinate geometry to two Pr and three Ni atoms. In the tenth Sn site, Sn is bonded in a 3-coordinate geometry to two Pr and three Ni atoms. In the eleventh Sn site, Sn is bonded in a 3-coordinate geometry to two Pr and three Ni atoms. In the twelfth Sn site, Sn is bonded in a 3-coordinate geometry to two Pr and three Ni atoms. In the thirteenth Sn site, Sn is bonded in a 3-coordinate geometry to two equivalent Pr and three Ni atoms. In the fourteenth Sn site, Sn is bonded in a 3-coordinate geometry to two equivalent Pr and three Ni atoms. In the fifteenth Sn site, Sn is bonded in a 3-coordinate geometry to two equivalent Pr and three Ni atoms. In the sixteenth Sn site, Sn is bonded in a 3-coordinate geometry to two equivalent Pr and three Ni atoms. In the seventeenth Sn site, Sn is bonded in a cuboctahedral geometry to twelve Sn atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr23Cd4Pt7 by Materials Project

Pr23Pt7Cd4 crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are nine inequivalent Pr sites. In the first Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two equivalent Pt and two Cd atoms. Both Pr–Pt bond lengths are 2.96 Å. There are one shorter (3.67 Å) and one longer (3.70 Å) Pr–Cd bond lengths. In the second Pr site, Pr is bonded in a distorted T-shaped geometry to three Pt atoms. There are two shorter (3.00 Å) and one longer (3.09 Å) Pr–Pt bond lengths. In the third Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two Pt and two equivalent Cd atoms. There are one shorter (2.96 Å) and one longer (2.97 Å) Pr–Pt bond lengths. Both Pr–Cd bond lengths are 3.66 Å. In the fourth Pr site, Pr is bonded in a 3-coordinate geometry to three Pt and three Cd atoms. There are one shorter (2.96 Å) and two longer (2.98 Å) Pr–Pt bond lengths. There are two shorter (3.55 Å) and one longer (3.60 Å) Pr–Cd bond lengths. In the fifth Pr site, Pr is bonded in a 1-coordinate geometry to two equivalent Pt and one Cd atom. Both Pr–Pt bond lengths are 3.72 Å. The Pr–Cd bond length is 3.44 Å. In the sixth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Pt atoms. All Pr–Pt bond lengths are 2.98 Å. In the seventh Pr site, Pr is bonded in a 2-coordinate geometry to four Pt and one Cd atom. There are two shorter (2.91 Å) and two longer (3.64 Å) Pr–Pt bond lengths. The Pr–Cd bond length is 3.44 Å. In the eighth Pr site, Pr is bonded in a 4-coordinate geometry to two Pt and two equivalent Cd atoms. There are one shorter (3.54 Å) and one longer (3.70 Å) Pr–Pt bond lengths. Both Pr–Cd bond lengths are 3.46 Å. In the ninth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Pt and three equivalent Cd atoms. All Pr–Pt bond lengths are 2.97 Å. All Pr–Cd bond lengths are 3.60 Å. There are three inequivalent Pt sites. In the first Pt site, Pt is bonded in a 6-coordinate geometry to nine Pr atoms. In the second Pt site, Pt is bonded in a 6-coordinate geometry to eight Pr atoms. In the third Pt site, Pt is bonded in a 6-coordinate geometry to nine Pr atoms. There are two inequivalent Cd sites. In the first Cd site, Cd is bonded to nine Pr and three equivalent Cd atoms to form distorted face-sharing CdPr9Cd3 cuboctahedra. All Cd–Cd bond lengths are 3.24 Å. In the second Cd site, Cd is bonded to nine Pr and three Cd atoms to form a mixture of distorted corner and face-sharing CdPr9Cd3 cuboctahedra. Both Cd–Cd bond lengths are 3.27 Å.

36 MATERIALS SCIENCE↗

Materials Data on Pr23Cd4Rh7 by Materials Project

Pr23Rh7Cd4 crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are nine inequivalent Pr sites. In the first Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two equivalent Rh and two Cd atoms. Both Pr–Rh bond lengths are 2.90 Å. There are one shorter (3.67 Å) and one longer (3.70 Å) Pr–Cd bond lengths. In the second Pr site, Pr is bonded in a distorted T-shaped geometry to three Rh atoms. There are two shorter (2.96 Å) and one longer (3.05 Å) Pr–Rh bond lengths. In the third Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two Rh and two equivalent Cd atoms. There are one shorter (2.87 Å) and one longer (2.91 Å) Pr–Rh bond lengths. Both Pr–Cd bond lengths are 3.65 Å. In the fourth Pr site, Pr is bonded in a 3-coordinate geometry to three Rh and three Cd atoms. There are two shorter (2.93 Å) and one longer (2.96 Å) Pr–Rh bond lengths. There are two shorter (3.56 Å) and one longer (3.59 Å) Pr–Cd bond lengths. In the fifth Pr site, Pr is bonded in a 3-coordinate geometry to two equivalent Rh and one Cd atom. Both Pr–Rh bond lengths are 3.65 Å. The Pr–Cd bond length is 3.40 Å. In the sixth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Rh atoms. All Pr–Rh bond lengths are 2.94 Å. In the seventh Pr site, Pr is bonded in a 2-coordinate geometry to four Rh and one Cd atom. There are two shorter (2.89 Å) and two longer (3.63 Å) Pr–Rh bond lengths. The Pr–Cd bond length is 3.41 Å. In the eighth Pr site, Pr is bonded in a 4-coordinate geometry to two Rh and two equivalent Cd atoms. There are one shorter (3.50 Å) and one longer (3.62 Å) Pr–Rh bond lengths. Both Pr–Cd bond lengths are 3.43 Å. In the ninth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Rh and three equivalent Cd atoms. All Pr–Rh bond lengths are 2.92 Å. All Pr–Cd bond lengths are 3.57 Å. There are three inequivalent Rh sites. In the first Rh site, Rh is bonded in a 6-coordinate geometry to nine Pr atoms. In the second Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr atoms. In the third Rh site, Rh is bonded in a 6-coordinate geometry to nine Pr atoms. There are two inequivalent Cd sites. In the first Cd site, Cd is bonded to nine Pr and three equivalent Cd atoms to form distorted face-sharing CdPr9Cd3 cuboctahedra. All Cd–Cd bond lengths are 3.20 Å. In the second Cd site, Cd is bonded to nine Pr and three Cd atoms to form a mixture of distorted corner and face-sharing CdPr9Cd3 cuboctahedra. Both Cd–Cd bond lengths are 3.22 Å.

36 MATERIALS SCIENCE↗

Materials Data on Pr23Cd4Ni7 by Materials Project

Pr23Ni7Cd4 crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are nine inequivalent Pr sites. In the first Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two equivalent Ni and two Cd atoms. Both Pr–Ni bond lengths are 2.86 Å. There are one shorter (3.60 Å) and one longer (3.64 Å) Pr–Cd bond lengths. In the second Pr site, Pr is bonded in a distorted T-shaped geometry to three Ni atoms. There are two shorter (2.93 Å) and one longer (2.99 Å) Pr–Ni bond lengths. In the third Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two Ni and two equivalent Cd atoms. There are one shorter (2.86 Å) and one longer (2.87 Å) Pr–Ni bond lengths. Both Pr–Cd bond lengths are 3.61 Å. In the fourth Pr site, Pr is bonded in a 3-coordinate geometry to three Ni and three Cd atoms. There are two shorter (2.87 Å) and one longer (2.88 Å) Pr–Ni bond lengths. There are two shorter (3.52 Å) and one longer (3.56 Å) Pr–Cd bond lengths. In the fifth Pr site, Pr is bonded in a 1-coordinate geometry to two equivalent Ni and one Cd atom. Both Pr–Ni bond lengths are 3.61 Å. The Pr–Cd bond length is 3.37 Å. In the sixth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Ni atoms. All Pr–Ni bond lengths are 2.89 Å. In the seventh Pr site, Pr is bonded in a 2-coordinate geometry to four Ni and one Cd atom. There are two shorter (2.80 Å) and two longer (3.60 Å) Pr–Ni bond lengths. The Pr–Cd bond length is 3.38 Å. In the eighth Pr site, Pr is bonded in a 4-coordinate geometry to two Ni and two equivalent Cd atoms. There are one shorter (3.43 Å) and one longer (3.60 Å) Pr–Ni bond lengths. Both Pr–Cd bond lengths are 3.38 Å. In the ninth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Ni and three equivalent Cd atoms. All Pr–Ni bond lengths are 2.86 Å. All Pr–Cd bond lengths are 3.55 Å. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded in a 6-coordinate geometry to nine Pr atoms. In the second Ni site, Ni is bonded in a 6-coordinate geometry to eight Pr atoms. In the third Ni site, Ni is bonded in a 6-coordinate geometry to nine Pr atoms. There are two inequivalent Cd sites. In the first Cd site, Cd is bonded to nine Pr and three equivalent Cd atoms to form face-sharing CdPr9Cd3 cuboctahedra. All Cd–Cd bond lengths are 3.15 Å. In the second Cd site, Cd is bonded to nine Pr and three Cd atoms to form a mixture of distorted face and corner-sharing CdPr9Cd3 cuboctahedra. Both Cd–Cd bond lengths are 3.17 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ca(Pr2Se3)4 by Materials Project

Ca(Pr2Se3)4 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. Ca is bonded to eight Se atoms to form distorted CaSe8 hexagonal bipyramids that share corners with eight PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, and faces with eight PrSe8 hexagonal bipyramids. There are a spread of Ca–Se bond distances ranging from 3.01–3.24 Å. There are eight inequivalent Pr sites. In the first Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven PrSe8 hexagonal bipyramids, an edgeedge with one CaSe8 hexagonal bipyramid, edges with three PrSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.23 Å. In the second Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.22 Å. In the third Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share corners with two equivalent CaSe8 hexagonal bipyramids, corners with six PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.22 Å. In the fourth Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share corners with two equivalent CaSe8 hexagonal bipyramids, corners with six PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.03–3.22 Å. In the fifth Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven PrSe8 hexagonal bipyramids, an edgeedge with one CaSe8 hexagonal bipyramid, edges with three PrSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.03–3.23 Å. In the sixth Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.22 Å. In the seventh Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share corners with eight PrSe8 hexagonal bipyramids, edges with two equivalent CaSe8 hexagonal bipyramids, edges with two PrSe8 hexagonal bipyramids, and faces with eight PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.03–3.22 Å. In the eighth Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share corners with eight PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, faces with two equivalent CaSe8 hexagonal bipyramids, and faces with six PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.03–3.21 Å. There are twelve inequivalent Se sites. In the first Se site, Se is bonded to one Ca and five Pr atoms to form distorted SeCaPr5 octahedra that share corners with fifteen SeCaPr5 octahedra, edges with six SeCaPr5 octahedra, and faces with five SePr6 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the second Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–51°. In the third Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the fourth Se site, Se is bonded to six Pr atoms to form a mixture of distorted edge, face, and corner-sharing SePr6 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the fifth Se site, Se is bonded to six Pr atoms to form a mixture of distorted edge, face, and corner-sharing SePr6 octahedra. The corner-sharing octahedra tilt angles range from 16–51°. In the sixth Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the seventh Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the eighth Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the ninth Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the tenth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with fifteen SeCaPr5 octahedra, edges with six SeCaPr5 octahedra, and faces with five SePr6 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. In the eleventh Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–51°. In the twelfth Se site, Se is bonded to six Pr atoms to form a mixture of distorted edge, face, and corner-sharing SePr6 octahedra. The corner-sharing octahedra tilt angles range from 16–51°.

36 MATERIALS SCIENCE↗

Materials Data on Pr16Si16N27Cl3O14 by Materials Project

Pr16Si16N27O14Cl3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded in a 4-coordinate geometry to three N3- and two O2- atoms. There are a spread of Pr–N bond distances ranging from 2.27–2.65 Å. There are one shorter (2.33 Å) and one longer (2.43 Å) Pr–O bond lengths. In the second Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to four N3- and three O2- atoms. There are a spread of Pr–N bond distances ranging from 2.48–2.61 Å. There are a spread of Pr–O bond distances ranging from 2.38–2.45 Å. In the third Pr3+ site, Pr3+ is bonded in a 6-coordinate geometry to three N3- and three O2- atoms. There are a spread of Pr–N bond distances ranging from 2.43–2.55 Å. There are a spread of Pr–O bond distances ranging from 2.31–2.37 Å. In the fourth Pr3+ site, Pr3+ is bonded in a 4-coordinate geometry to six N3- and two O2- atoms. There are a spread of Pr–N bond distances ranging from 2.43–3.09 Å. There are one shorter (2.46 Å) and one longer (2.80 Å) Pr–O bond lengths. In the fifth Pr3+ site, Pr3+ is bonded in a 5-coordinate geometry to four N3- and one Cl1- atom. There are a spread of Pr–N bond distances ranging from 2.39–2.64 Å. The Pr–Cl bond length is 3.25 Å. In the sixth Pr3+ site, Pr3+ is bonded to three N3- and one O2- atom to form distorted PrN3O trigonal pyramids that share corners with two SiN3O tetrahedra. There are two shorter (2.41 Å) and one longer (2.56 Å) Pr–N bond lengths. The Pr–O bond length is 2.30 Å. In the seventh Pr3+ site, Pr3+ is bonded in a 5-coordinate geometry to two N3- and three O2- atoms. There are one shorter (2.32 Å) and one longer (2.58 Å) Pr–N bond lengths. There are a spread of Pr–O bond distances ranging from 2.20–2.50 Å. In the eighth Pr3+ site, Pr3+ is bonded in a distorted rectangular see-saw-like geometry to three N3- and one O2- atom. There are a spread of Pr–N bond distances ranging from 2.41–2.84 Å. The Pr–O bond length is 2.24 Å. In the ninth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to four N3-, three O2-, and one Cl1- atom. There are a spread of Pr–N bond distances ranging from 2.40–2.77 Å. There are a spread of Pr–O bond distances ranging from 2.31–2.96 Å. The Pr–Cl bond length is 3.16 Å. In the tenth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to five N3-, two O2-, and one Cl1- atom. There are a spread of Pr–N bond distances ranging from 2.43–2.78 Å. There are one shorter (2.37 Å) and one longer (2.62 Å) Pr–O bond lengths. The Pr–Cl bond length is 2.95 Å. In the eleventh Pr3+ site, Pr3+ is bonded in a distorted pentagonal planar geometry to three N3- and two Cl1- atoms. There are a spread of Pr–N bond distances ranging from 2.31–2.55 Å. There are one shorter (2.78 Å) and one longer (2.85 Å) Pr–Cl bond lengths. In the twelfth Pr3+ site, Pr3+ is bonded in a 5-coordinate geometry to two N3-, two O2-, and one Cl1- atom. There are one shorter (2.39 Å) and one longer (2.64 Å) Pr–N bond lengths. There are one shorter (2.26 Å) and one longer (2.54 Å) Pr–O bond lengths. The Pr–Cl bond length is 2.93 Å. In the thirteenth Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to four N3-, two O2-, and one Cl1- atom. There are a spread of Pr–N bond distances ranging from 2.46–2.58 Å. There are one shorter (2.38 Å) and one longer (2.55 Å) Pr–O bond lengths. The Pr–Cl bond length is 3.00 Å. In the fourteenth Pr3+ site, Pr3+ is bonded in a 4-coordinate geometry to three N3-, two O2-, and two Cl1- atoms. There are a spread of Pr–N bond distances ranging from 2.41–2.65 Å. There are one shorter (2.31 Å) and one longer (2.95 Å) Pr–O bond lengths. There are one shorter (3.00 Å) and one longer (3.37 Å) Pr–Cl bond lengths. In the fifteenth Pr3+ site, Pr3+ is bonded in a 6-coordinate geometry to four N3- and two O2- atoms. There are a spread of Pr–N bond distances ranging from 2.55–2.61 Å. There are one shorter (2.34 Å) and one longer (2.42 Å) Pr–O bond lengths. In the sixteenth Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to three N3- and four O2- atoms. There are a spread of Pr–N bond distances ranging from 2.56–2.87 Å. There are a spread of Pr–O bond distances ranging from 2.38–2.64 Å. There are sixteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a 3-coordinate geometry to two N3- and one O2- atom. There is one shorter (1.78 Å) and one longer (2.01 Å) Si–N bond length. The Si–O bond length is 1.78 Å. In the second Si4+ site, Si4+ is bonded in a trigonal planar geometry to two N3- and one O2- atom. There is one shorter (1.66 Å) and one longer (1.67 Å) Si–N bond length. The Si–O bond length is 1.61 Å. In the third Si4+ site, Si4+ is bonded in a bent 120 degrees geometry to two N3- atoms. There is one shorter (1.78 Å) and one longer (1.82 Å) Si–N bond length. In the fourth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form distorted SiN3O trigonal pyramids that share a cornercorner with one SiN3O tetrahedra and an edgeedge with one SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.83 Å. The Si–O bond length is 1.70 Å. In the fifth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to three N3- atoms. There are a spread of Si–N bond distances ranging from 1.72–1.78 Å. In the sixth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to two N3- and one O2- atom. There is one shorter (1.72 Å) and one longer (1.79 Å) Si–N bond length. The Si–O bond length is 1.65 Å. In the seventh Si4+ site, Si4+ is bonded in a water-like geometry to two N3- atoms. There is one shorter (1.76 Å) and one longer (1.77 Å) Si–N bond length. In the eighth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to two N3- and one O2- atom. There is one shorter (1.78 Å) and one longer (1.79 Å) Si–N bond length. The Si–O bond length is 1.66 Å. In the ninth Si4+ site, Si4+ is bonded to four N3- atoms to form a mixture of corner and edge-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.79 Å. In the tenth Si4+ site, Si4+ is bonded in a bent 120 degrees geometry to two N3- atoms. There is one shorter (1.70 Å) and one longer (1.78 Å) Si–N bond length. In the eleventh Si4+ site, Si4+ is bonded in a distorted trigonal pyramidal geometry to three N3- and one Cl1- atom. There are a spread of Si–N bond distances ranging from 1.68–1.74 Å. The Si–Cl bond length is 2.55 Å. In the twelfth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form distorted SiN3O tetrahedra that share a cornercorner with one SiN4 tetrahedra, a cornercorner with one PrN3O trigonal pyramid, and a cornercorner with one SiN3O trigonal pyramid. There are a spread of Si–N bond distances ranging from 1.65–2.11 Å. The Si–O bond length is 1.65 Å. In the thirteenth Si4+ site, Si4+ is bonded in a single-bond geometry to one N3- atom. The Si–N bond length is 1.84 Å. In the fourteenth Si4+ site, Si4+ is bonded to three N3- and one O2- atom to form distorted SiN3O tetrahedra that share a cornercorner with one PrN3O trigonal pyramid. There is two shorter (1.69 Å) and one longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.76 Å. In the fifteenth Si4+ site, Si4+ is bonded in a trigonal non-coplanar geometry to two N3- and one O2- atom. There is one shorter (1.80 Å) and one longer (1.83 Å) Si–N bond length. The Si–O bond length is 1.74 Å. In the sixteenth Si4+ site, Si4+ is bonded in a distorted tetrahedral geometry to three N3- and one O2- atom. There is one shorter (1.73 Å) and two longer (1.74 Å) Si–N bond length. The Si–O bond length is 1.61 Å. There are twenty-seven inequivalent N3- sites. In the first N3- site, N3- is bonded in a 2-coordinate geometry to two Pr3+, one Si4+, and one N3- atom. The N–N bond length is 1.49 Å. In the second N3- site, N3- is bonded in a 3-coordinate geometry to one Pr3+, two Si4+, and one O2- atom. The N–O bond length is 1.46 Å. In the third N3- site, N3- is bonded in a 4-coordinate geometry to two Pr3+, one Si4+, and one O2- atom. The N–O bond length is 1.52 Å. In the fourth N3- site, N3- is bonded in a 1-coordinate geometry to two Pr3+, one Si4+, and one N3- atom. The N–N bond length is 1.44 Å. In the fifth N3- site, N3- is bonded in a 4-coordinate geometry to two Pr3+ and two Si4+ atoms. In the sixth N3- site, N3- is bonded in a 3-coordinate geometry to two Pr3+ and two Si4+ atoms. In the seventh N3- site, N3- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the eighth N3- site, N3- is bonded in a trigonal planar geometry to three Si4+ atoms. In the ninth N3- site, N3- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the tenth N3- site, N3- is bonded in a 1-coordinate geometry to two Pr3+, one Si4+, and one N3- atom. The N–N bond length is 1.42 Å. In the eleventh N3- site, N3- is bonded in a 3-coordinate geometry to one Pr3+ and three Si4+ atoms. In the twelfth N3- site, N3- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the thirteenth N3- site, N3- is bonded in a 2-coordinate geometry to one Pr3+, two Si4+, and one N3- atom. In the fourteenth N3- site, N3- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the fifteenth N3- site, N3- is bonded in a 4-coordinate geometry to two Pr3+ and two Si4+ atoms. In the sixteenth N3- site, N3- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the seventeenth N3- site, N3- is bonded in a distorted T-shaped geometry to two Pr3+ and one Si4+ atom. In the eighteenth N3- site, N3- is bonded in a 4-coordinate geometry to two Pr3+ and two Si4+ atoms. In the nineteenth N3- site, N3- is bonded in a 2-coordinate geometry to three Pr3+, one Si4+, and one O2- atom. The N–O bond length is 1.49 Å. In the twentieth N3- site, N3- is bonded in a 4-coordinate geometry to three Pr3+ and one Si4+ atom. In the twenty-first N3- site, N3- is bonded in a 3-coordinate geometry to one Pr3+, one Si4+, and one O2- atom. The N–O bond length is 1.68 Å. In the twenty-second N3- site, N3- is bonded in a 1-coordinate geometry to three Pr3+, one Si4+, and one N3- atom. The N–N bond length is 1.69 Å. In the twenty-third N3- site, N3- is bonded in a distorted T-shaped geometry to one Pr3+ and two Si4+ atoms. In the twenty-fourth N3- site, N3- is bonded in a 3-coordinate geometry to three Pr3+ and one Si4+ atom. In the twenty-fifth N3- site, N3- is bonded in a 3-coordinate geometry to one Pr3+, two Si4+, and one O2- atom. The N–O bond length is 1.48 Å. In the twenty-sixth N3- site, N3- is bonded in a 5-coordinate geometry to two Pr3+, one Si4+, and two N3- atoms. In the twenty-seventh N3- site, N3- is bonded in a 1-coordinate geometry to three Pr3+, one Si4+, and one N3- atom. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to three Pr3+ and one Si4+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to three Pr3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Pr3+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Pr3+ and one N3- atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Pr3+ and one N3- atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Pr3+ and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Pr3+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to three Pr3+ and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Pr3+, one Si4+, and one N3- atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Pr3+ and one N3- atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to four Pr3+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Pr3+ and one N3- a

36 MATERIALS SCIENCE↗

Materials Data on Pr4In5Cu19 by Materials Project

Pr4Cu19In5 is Bergman Structure: Mg32(Al,Zn)49 Bergman-like structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Pr sites. In the first Pr site, Pr is bonded in a 6-coordinate geometry to fifteen Cu and four In atoms. There are a spread of Pr–Cu bond distances ranging from 2.93–3.49 Å. There are a spread of Pr–In bond distances ranging from 3.35–3.48 Å. In the second Pr site, Pr is bonded in a 6-coordinate geometry to fourteen Cu and five In atoms. There are a spread of Pr–Cu bond distances ranging from 3.00–3.47 Å. There are a spread of Pr–In bond distances ranging from 3.30–3.52 Å. In the third Pr site, Pr is bonded in a 6-coordinate geometry to thirteen Cu and six In atoms. There are a spread of Pr–Cu bond distances ranging from 2.96–3.48 Å. There are a spread of Pr–In bond distances ranging from 3.34–3.62 Å. In the fourth Pr site, Pr is bonded in a 6-coordinate geometry to fifteen Cu and four In atoms. There are a spread of Pr–Cu bond distances ranging from 2.95–3.40 Å. There are one shorter (3.35 Å) and three longer (3.43 Å) Pr–In bond lengths. There are fifteen inequivalent Cu sites. In the first Cu site, Cu is bonded in a 10-coordinate geometry to three Pr, three Cu, and four In atoms. There are one shorter (2.57 Å) and two longer (2.63 Å) Cu–Cu bond lengths. There are a spread of Cu–In bond distances ranging from 2.70–3.02 Å. In the second Cu site, Cu is bonded in a 10-coordinate geometry to three Pr, three Cu, and four In atoms. There are one shorter (2.57 Å) and two longer (2.61 Å) Cu–Cu bond lengths. There are a spread of Cu–In bond distances ranging from 2.68–3.11 Å. In the third Cu site, Cu is bonded in a 10-coordinate geometry to three Pr, four Cu, and three In atoms. There are a spread of Cu–Cu bond distances ranging from 2.53–2.63 Å. There are one shorter (2.72 Å) and two longer (3.09 Å) Cu–In bond lengths. In the fourth Cu site, Cu is bonded in a 10-coordinate geometry to three Pr, four Cu, and three In atoms. There are a spread of Cu–Cu bond distances ranging from 2.51–2.62 Å. There are one shorter (2.67 Å) and two longer (3.08 Å) Cu–In bond lengths. In the fifth Cu site, Cu is bonded to three Pr, seven Cu, and two In atoms to form CuPr3In2Cu7 cuboctahedra that share a cornercorner with one InPr3In2Cu7 cuboctahedra, corners with ten CuPr3In2Cu7 cuboctahedra, edges with five CuPr3In2Cu7 cuboctahedra, and faces with nine CuPr3In2Cu7 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.54–2.58 Å. Both Cu–In bond lengths are 2.86 Å. In the sixth Cu site, Cu is bonded to three Pr, seven Cu, and two In atoms to form CuPr3In2Cu7 cuboctahedra that share corners with two equivalent InPr3In2Cu7 cuboctahedra, corners with nine CuPr3In2Cu7 cuboctahedra, an edgeedge with one InPr3In2Cu7 cuboctahedra, edges with four CuPr3In2Cu7 cuboctahedra, and faces with nine CuPr3In2Cu7 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.49–2.59 Å. There are one shorter (2.85 Å) and one longer (2.86 Å) Cu–In bond lengths. In the seventh Cu site, Cu is bonded to three Pr, six Cu, and three In atoms to form distorted CuPr3In3Cu6 cuboctahedra that share corners with eleven CuPr3In2Cu7 cuboctahedra, edges with five CuPr3In2Cu7 cuboctahedra, faces with two equivalent InPr3In2Cu7 cuboctahedra, and faces with seven CuPr3In2Cu7 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.51–2.63 Å. There are a spread of Cu–In bond distances ranging from 2.65–2.96 Å. In the eighth Cu site, Cu is bonded to three Pr, six Cu, and three In atoms to form distorted CuPr3In3Cu6 cuboctahedra that share corners with eleven CuPr3In2Cu7 cuboctahedra, edges with five CuPr3In2Cu7 cuboctahedra, faces with two equivalent InPr3In2Cu7 cuboctahedra, and faces with seven CuPr3In2Cu7 cuboctahedra. There are a spread of Cu–Cu bond distances ranging from 2.51–2.66 Å. There are a spread of Cu–In bond distances ranging from 2.66–2.95 Å. In the ninth Cu site, Cu is bonded in a 11-coordinate geometry to three Pr, six Cu, and two In atoms. Both Cu–Cu bond lengths are 2.91 Å. There are one shorter (2.67 Å) and one longer (2.88 Å) Cu–In bond lengths. In the tenth Cu site, Cu is bonded in a 12-coordinate geometry to three Pr, five Cu, and one In atom. The Cu–Cu bond length is 2.61 Å. The Cu–In bond length is 2.86 Å. In the eleventh Cu site, Cu is bonded in a 12-coordinate geometry to three Pr, seven Cu, and one In atom. The Cu–Cu bond length is 2.60 Å. The Cu–In bond length is 2.92 Å. In the twelfth Cu site, Cu is bonded in a 12-coordinate geometry to three Pr, five Cu, and one In atom. The Cu–Cu bond length is 2.58 Å. The Cu–In bond length is 2.86 Å. In the thirteenth Cu site, Cu is bonded to three Pr, seven Cu, and two equivalent In atoms to form distorted CuPr3In2Cu7 cuboctahedra that share corners with ten CuPr3In2Cu7 cuboctahedra, edges with four CuPr3In2Cu7 cuboctahedra, faces with two equivalent InPr3In2Cu7 cuboctahedra, and faces with eight CuPr3In3Cu6 cuboctahedra. Both Cu–In bond lengths are 2.90 Å. In the fourteenth Cu site, Cu is bonded to three Pr, seven Cu, and two equivalent In atoms to form CuPr3In2Cu7 cuboctahedra that share corners with ten CuPr3In3Cu6 cuboctahedra, edges with four CuPr3In3Cu6 cuboctahedra, and faces with ten CuPr3In2Cu7 cuboctahedra. Both Cu–In bond lengths are 2.89 Å. In the fifteenth Cu site, Cu is bonded to three Pr, seven Cu, and two equivalent In atoms to form CuPr3In2Cu7 cuboctahedra that share corners with four equivalent InPr3In2Cu7 cuboctahedra, corners with six CuPr3In3Cu6 cuboctahedra, edges with four CuPr3In3Cu6 cuboctahedra, and faces with ten CuPr3In2Cu7 cuboctahedra. Both Cu–In bond lengths are 2.89 Å. There are five inequivalent In sites. In the first In site, In is bonded in a 1-coordinate geometry to four Pr and ten Cu atoms. In the second In site, In is bonded in a 1-coordinate geometry to four Pr and ten Cu atoms. In the third In site, In is bonded in a 1-coordinate geometry to four Pr, eight Cu, and two equivalent In atoms. Both In–In bond lengths are 2.95 Å. In the fourth In site, In is bonded in a 1-coordinate geometry to four Pr and ten Cu atoms. In the fifth In site, In is bonded to three Pr, seven Cu, and two equivalent In atoms to form distorted InPr3In2Cu7 cuboctahedra that share corners with ten CuPr3In2Cu7 cuboctahedra, edges with two equivalent CuPr3In2Cu7 cuboctahedra, edges with two equivalent InPr3In2Cu7 cuboctahedra, and faces with ten CuPr3In3Cu6 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Pr8Ni18P11 by Materials Project

Pr8Ni18P11 crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are five inequivalent Pr sites. In the first Pr site, Pr is bonded in a 12-coordinate geometry to ten Ni and six P atoms. There are a spread of Pr–Ni bond distances ranging from 3.00–3.13 Å. There are two shorter (3.01 Å) and four longer (3.03 Å) Pr–P bond lengths. In the second 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 3.04–3.12 Å. There are four shorter (3.01 Å) and two longer (3.04 Å) Pr–P bond lengths. In the third Pr site, Pr is bonded in a 12-coordinate geometry to twelve Ni and four equivalent P atoms. There are a spread of Pr–Ni bond distances ranging from 2.95–3.16 Å. All Pr–P bond lengths are 3.09 Å. In the fourth 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 3.02–3.11 Å. There are a spread of Pr–P bond distances ranging from 2.99–3.05 Å. In the fifth Pr site, Pr is bonded to six equivalent Ni and six equivalent P atoms to form face-sharing PrNi6P6 cuboctahedra. All Pr–Ni bond lengths are 3.05 Å. All Pr–P bond lengths are 3.03 Å. There are nine inequivalent Ni sites. In the first Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. All Ni–P bond lengths are 2.30 Å. In the second Ni site, Ni is bonded in a 3-coordinate geometry to six Pr and three P atoms. There are one shorter (2.30 Å) and two longer (2.31 Å) Ni–P bond lengths. In the third Ni site, Ni is bonded in a 3-coordinate geometry to three Pr, one Ni, and three P atoms. The Ni–Ni bond length is 2.54 Å. There are one shorter (2.22 Å) and two longer (2.37 Å) Ni–P bond lengths. In the fourth Ni site, Ni is bonded in a distorted single-bond geometry to two equivalent Pr, four equivalent Ni, and one P atom. All Ni–Ni bond lengths are 2.47 Å. The Ni–P bond length is 2.16 Å. In the fifth Ni site, Ni is bonded in a 10-coordinate geometry to two equivalent Pr and eight Ni atoms. Both Ni–Ni bond lengths are 2.38 Å. In the sixth Ni site, Ni is bonded in a distorted trigonal planar geometry to six Pr and three P atoms. There are two shorter (2.26 Å) and one longer (2.32 Å) Ni–P bond lengths. In the seventh Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted corner, edge, and face-sharing NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.33–2.36 Å. In the eighth Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted corner, edge, and face-sharing NiPr4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.34–2.36 Å. In the ninth Ni site, Ni is bonded to four Pr and four P atoms to form a mixture of distorted edge and face-sharing NiPr4P4 tetrahedra. There are two shorter (2.32 Å) and two longer (2.35 Å) Ni–P bond lengths. There are six inequivalent P sites. In the first P site, P is bonded in a 9-coordinate geometry to four Pr and five 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 3-coordinate geometry to six equivalent Pr and three equivalent Ni atoms. In the fourth P site, P is bonded in a 9-coordinate geometry to four equivalent Pr and five Ni atoms. In the fifth P site, P is bonded in a 9-coordinate geometry to four Pr and five Ni atoms. In the sixth P site, P is bonded in a 9-coordinate geometry to two equivalent Pr and seven Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr4AlFe33 by Materials Project

Pr4Fe33Al crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Pr sites. In the first Pr site, Pr is bonded in a 10-coordinate geometry to eighteen Fe and one Al atom. There are a spread of Pr–Fe bond distances ranging from 3.08–3.36 Å. The Pr–Al bond length is 3.15 Å. In the second Pr site, Pr is bonded in a 10-coordinate geometry to nineteen Fe atoms. There are a spread of Pr–Fe bond distances ranging from 3.08–3.33 Å. In the third Pr site, Pr is bonded in a 10-coordinate geometry to nineteen Fe atoms. There are a spread of Pr–Fe bond distances ranging from 3.08–3.33 Å. In the fourth Pr site, Pr is bonded in a 10-coordinate geometry to nineteen Fe atoms. There are a spread of Pr–Fe bond distances ranging from 3.07–3.34 Å. There are twenty-one inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to two Pr, nine Fe, and one Al atom. There are a spread of Fe–Fe bond distances ranging from 2.45–2.76 Å. The Fe–Al bond length is 2.73 Å. In the second Fe site, Fe is bonded to two Pr and ten Fe atoms to form distorted FePr2Fe10 cuboctahedra that share corners with eighteen FePr3AlFe8 cuboctahedra, edges with five FePr3Fe9 cuboctahedra, and faces with twenty-one FePr3Fe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.76 Å. In the third Fe site, Fe is bonded to two Pr and ten Fe atoms to form distorted FePr2Fe10 cuboctahedra that share corners with eighteen FePr3AlFe8 cuboctahedra, edges with five FePr3AlFe8 cuboctahedra, and faces with nineteen FePr3Fe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.77 Å. In the fourth Fe site, Fe is bonded in a 12-coordinate geometry to two Pr, nine Fe, and one Al atom. There are a spread of Fe–Fe bond distances ranging from 2.46–2.75 Å. The Fe–Al bond length is 2.74 Å. In the fifth Fe site, Fe is bonded in a 12-coordinate geometry to two Pr, nine Fe, and one Al atom. There are a spread of Fe–Fe bond distances ranging from 2.46–2.76 Å. The Fe–Al bond length is 2.73 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 eighteen FePr3Fe9 cuboctahedra, edges with five FePr3AlFe8 cuboctahedra, and faces with nineteen FePr3Fe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.76 Å. In the seventh Fe site, Fe is bonded to two Pr, nine Fe, and one Al atom to form distorted FePr2AlFe9 cuboctahedra that share corners with eighteen FePr3Fe9 cuboctahedra, edges with eight FePr3AlFe8 cuboctahedra, and faces with fourteen FePr3Fe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.47–2.64 Å. The Fe–Al bond length is 2.65 Å. In the eighth Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with eighteen FePr3AlFe8 cuboctahedra, edges with eight FePr3Fe9 cuboctahedra, and faces with fourteen FePr3AlFe8 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.48–2.64 Å. In the ninth Fe site, Fe is bonded to two Pr, nine Fe, and one Al atom to form distorted FePr2AlFe9 cuboctahedra that share corners with sixteen FePr3Fe9 cuboctahedra, edges with eight FePr3AlFe8 cuboctahedra, and faces with ten FePr3AlFe8 cuboctahedra. There are four shorter (2.47 Å) and one longer (2.63 Å) Fe–Fe bond lengths. The Fe–Al bond length is 2.64 Å. In the tenth Fe site, Fe is bonded to two Pr and ten Fe atoms to form FePr2Fe10 cuboctahedra that share corners with twenty FePr3AlFe8 cuboctahedra, edges with eight FePr3Fe9 cuboctahedra, and faces with eighteen FePr3Fe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.47–2.64 Å. In the eleventh Fe site, Fe is bonded to three Pr and nine Fe atoms to form FePr3Fe9 cuboctahedra that share corners with twenty-one FePr3AlFe8 cuboctahedra, edges with ten FePr3Fe9 cuboctahedra, and faces with ten FePr3AlFe8 cuboctahedra. There are two shorter (2.51 Å) and one longer (2.64 Å) Fe–Fe bond lengths. In the twelfth Fe site, Fe is bonded to three Pr and nine Fe atoms to form FePr3Fe9 cuboctahedra that share corners with seventeen FePr3Fe9 cuboctahedra, edges with eight FePr3AlFe8 cuboctahedra, and faces with twenty FePr3Fe9 cuboctahedra. There are two shorter (2.52 Å) and one longer (2.65 Å) Fe–Fe bond lengths. In the thirteenth Fe site, Fe is bonded to three Pr and nine Fe atoms to form FePr3Fe9 cuboctahedra that share corners with twenty FePr3Fe9 cuboctahedra, edges with nine FePr3AlFe8 cuboctahedra, and faces with seventeen FePr3Fe9 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.52–2.66 Å. In the fourteenth Fe site, Fe is bonded to three Pr and nine Fe atoms to form FePr3Fe9 cuboctahedra that share corners with eighteen FePr3Fe9 cuboctahedra, edges with nine FePr3Fe9 cuboctahedra, and faces with thirteen FePr3AlFe8 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.52–2.64 Å. In the fifteenth Fe site, Fe is bonded to three Pr and nine Fe atoms to form a mixture of face, edge, and corner-sharing FePr3Fe9 cuboctahedra. The Fe–Fe bond length is 2.65 Å. In the sixteenth Fe site, Fe is bonded to three Pr, eight Fe, and one Al atom to form FePr3AlFe8 cuboctahedra that share corners with twenty-one FePr3Fe9 cuboctahedra, edges with ten FePr3AlFe8 cuboctahedra, and faces with ten FePr3AlFe8 cuboctahedra. The Fe–Al bond length is 2.66 Å. In the seventeenth Fe site, Fe is bonded to three Pr, eight Fe, and one Al atom to form FePr3AlFe8 cuboctahedra that share corners with eighteen FePr3AlFe8 cuboctahedra, edges with nine FePr3Fe9 cuboctahedra, and faces with thirteen FePr3AlFe8 cuboctahedra. The Fe–Al bond length is 2.67 Å. In the eighteenth Fe site, Fe is bonded to three Pr and nine Fe atoms to form a mixture of face, edge, and corner-sharing FePr3Fe9 cuboctahedra. The Fe–Fe bond length is 2.66 Å. In the nineteenth Fe site, Fe is bonded in a 2-coordinate geometry to one Pr and thirteen Fe atoms. The Fe–Fe bond length is 2.43 Å. In the twentieth Fe site, Fe is bonded in a 2-coordinate geometry to one Pr and thirteen Fe atoms. In the twenty-first Fe site, Fe is bonded in a 1-coordinate geometry to one Pr, twelve Fe, and one Al atom. The Fe–Al bond length is 2.45 Å. Al is bonded in a 1-coordinate geometry to one Pr and thirteen Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr7Si5Ni2 by Materials Project

Pr7Ni2Si5 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are seven 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 3.03 Å. There are a spread of Pr–Si bond distances ranging from 3.06–3.46 Å. In the second Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.09 Å. There are a spread of Pr–Si bond distances ranging from 3.12–3.15 Å. In the third Pr site, Pr is bonded in a 8-coordinate geometry to two equivalent Ni and six Si atoms. Both Pr–Ni bond lengths are 3.15 Å. There are a spread of Pr–Si bond distances ranging from 3.11–3.19 Å. In the fourth Pr site, Pr is bonded in a 7-coordinate geometry to two equivalent Ni and five Si atoms. Both Pr–Ni bond lengths are 3.03 Å. There are a spread of Pr–Si bond distances ranging from 3.11–3.32 Å. In the fifth Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 2.98 Å. There are three shorter (3.15 Å) and two longer (3.16 Å) Pr–Si bond lengths. In the sixth Pr site, Pr is bonded in a 6-coordinate geometry to one Ni and five Si atoms. The Pr–Ni bond length is 2.96 Å. There are a spread of Pr–Si bond distances ranging from 3.12–3.42 Å. In the seventh 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 3.15–3.26 Å. There are two 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 one shorter (2.42 Å) and two longer (2.52 Å) Ni–Si bond lengths. 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 2.40–2.53 Å. There are five inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. The Si–Si bond length is 2.50 Å. In the second Si site, Si is bonded in a 9-coordinate geometry to seven Pr, one Ni, and one Si atom. In the third Si site, Si is bonded in a 9-coordinate geometry to eight Pr and one Ni atom. 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.

36 MATERIALS SCIENCE↗

Materials Data on Pr12Fe2I17 by Materials Project

Pr12I17Fe2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Pr sites. In the first Pr site, Pr is bonded to one Fe and five I atoms to form a mixture of distorted edge and corner-sharing PrFeI5 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. The Pr–Fe bond length is 2.78 Å. There are a spread of Pr–I bond distances ranging from 3.22–3.48 Å. In the second Pr site, Pr is bonded to one Fe and five I atoms to form a mixture of edge and corner-sharing PrFeI5 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. The Pr–Fe bond length is 2.78 Å. There are a spread of Pr–I bond distances ranging from 3.22–3.52 Å. In the third Pr site, Pr is bonded to one Fe and five I atoms to form a mixture of distorted edge and corner-sharing PrFeI5 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. The Pr–Fe bond length is 2.71 Å. There are a spread of Pr–I bond distances ranging from 3.22–3.57 Å. In the fourth Pr site, Pr is bonded to one Fe and five I atoms to form a mixture of distorted edge and corner-sharing PrFeI5 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. The Pr–Fe bond length is 2.77 Å. There are a spread of Pr–I bond distances ranging from 3.26–3.46 Å. In the fifth Pr site, Pr is bonded to one Fe and five I atoms to form a mixture of distorted edge and corner-sharing PrFeI5 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. The Pr–Fe bond length is 2.77 Å. There are a spread of Pr–I bond distances ranging from 3.21–3.53 Å. In the sixth Pr site, Pr is bonded to one Fe and five I atoms to form a mixture of distorted edge and corner-sharing PrFeI5 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. The Pr–Fe bond length is 2.70 Å. There are a spread of Pr–I bond distances ranging from 3.20–3.59 Å. Fe is bonded in an octahedral geometry to six Pr atoms. There are nine inequivalent I sites. In the first I site, I is bonded in a rectangular see-saw-like geometry to four Pr atoms. In the second I site, I is bonded in a distorted T-shaped geometry to three 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 three Pr atoms. In the fifth I site, I is bonded in a rectangular see-saw-like geometry to four 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 rectangular see-saw-like geometry to four Pr atoms. In the eighth I site, I is bonded in a rectangular see-saw-like geometry to four Pr atoms. In the ninth I site, I is bonded in a distorted rectangular see-saw-like geometry to four Pr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr23Mg4Rh7 by Materials Project

Mg4Pr23Rh7 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 equivalent Mg and nine Pr atoms to form face-sharing MgPr9Mg3 cuboctahedra. All Mg–Mg bond lengths are 3.16 Å. There are a spread of Mg–Pr bond distances ranging from 3.47–3.71 Å. In the second Mg site, Mg is bonded to three Mg and nine Pr atoms to form a mixture of corner and face-sharing MgPr9Mg3 cuboctahedra. Both Mg–Mg bond lengths are 3.21 Å. There are a spread of Mg–Pr bond distances ranging from 3.46–3.74 Å. There are nine inequivalent Pr sites. In the first Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two Mg and two equivalent Rh atoms. Both Pr–Rh bond lengths are 2.91 Å. In the second Pr site, Pr is bonded in a distorted T-shaped geometry to three Rh atoms. There are two shorter (2.97 Å) and one longer (3.04 Å) Pr–Rh bond lengths. In the third Pr site, Pr is bonded in a bent 150 degrees geometry to two equivalent Mg and two Rh atoms. There are one shorter (2.87 Å) and one longer (2.92 Å) Pr–Rh bond lengths. In the fourth Pr site, Pr is bonded in a 3-coordinate geometry to three Mg and three Rh atoms. There are two shorter (2.92 Å) and one longer (2.93 Å) Pr–Rh bond lengths. In the fifth Pr site, Pr is bonded in a 3-coordinate geometry to one Mg and two equivalent Rh atoms. Both Pr–Rh bond lengths are 3.66 Å. In the sixth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Rh atoms. All Pr–Rh bond lengths are 2.95 Å. In the seventh Pr site, Pr is bonded in a distorted water-like geometry to one Mg and four Rh atoms. There are two shorter (2.89 Å) and two longer (3.63 Å) Pr–Rh bond lengths. In the eighth Pr site, Pr is bonded in a 4-coordinate geometry to two equivalent Mg and two Rh atoms. There are one shorter (3.52 Å) and one longer (3.65 Å) Pr–Rh bond lengths. In the ninth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Mg and three equivalent Rh atoms. All Pr–Rh bond lengths are 2.90 Å. There are three inequivalent Rh sites. In the first Rh site, Rh is bonded in a 6-coordinate geometry to nine Pr atoms. In the second Rh site, Rh is bonded in a 6-coordinate geometry to eight Pr atoms. In the third Rh site, Rh is bonded in a 6-coordinate geometry to nine Pr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr3ErMn6(FeCo13)2 by Materials Project

ErPr3Mn6(FeCo13)2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. Er is bonded in a 10-coordinate geometry to three Mn, one Fe, and fifteen Co atoms. All Er–Mn bond lengths are 3.26 Å. The Er–Fe bond length is 3.04 Å. There are a spread of Er–Co bond distances ranging from 3.01–3.23 Å. There are three inequivalent Pr sites. In the first Pr site, Pr is bonded in a 10-coordinate geometry to three Mn, one Fe, and fifteen Co atoms. All Pr–Mn bond lengths are 3.30 Å. The Pr–Fe bond length is 3.09 Å. There are a spread of Pr–Co bond distances ranging from 3.04–3.25 Å. In the second Pr site, Pr is bonded in a 10-coordinate geometry to three Mn and sixteen Co atoms. There are two shorter (3.24 Å) and one longer (3.26 Å) Pr–Mn bond lengths. There are a spread of Pr–Co bond distances ranging from 3.03–3.21 Å. In the third Pr site, Pr is bonded in a 10-coordinate geometry to three Mn and sixteen Co atoms. There are one shorter (3.23 Å) and two longer (3.25 Å) Pr–Mn bond lengths. There are a spread of Pr–Co bond distances ranging from 3.05–3.20 Å. There are four inequivalent Mn sites. In the first Mn site, Mn is bonded in a 10-coordinate geometry to one Er, one Pr, one Fe, and nine Co atoms. The Mn–Fe bond length is 2.62 Å. There are a spread of Mn–Co bond distances ranging from 2.40–2.56 Å. In the second Mn site, Mn is bonded in a 12-coordinate geometry to two Pr, one Fe, and nine Co atoms. The Mn–Fe bond length is 2.65 Å. There are a spread of Mn–Co bond distances ranging from 2.41–2.58 Å. In the third Mn site, Mn is bonded in a 10-coordinate geometry to one Er, one Pr, one Fe, and nine Co atoms. The Mn–Fe bond length is 2.63 Å. There are a spread of Mn–Co bond distances ranging from 2.40–2.57 Å. In the fourth Mn site, Mn is bonded in a 10-coordinate geometry to two Pr, one Fe, and nine Co atoms. The Mn–Fe bond length is 2.64 Å. There are a spread of Mn–Co bond distances ranging from 2.41–2.56 Å. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded in a 4-coordinate geometry to one Er, three Mn, and ten Co atoms. There are a spread of Fe–Co bond distances ranging from 2.33–2.69 Å. In the second Fe site, Fe is bonded in a 1-coordinate geometry to one Pr, three Mn, and ten Co atoms. There are a spread of Fe–Co bond distances ranging from 2.32–2.69 Å. There are sixteen inequivalent Co sites. In the first Co site, Co is bonded in a 2-coordinate geometry to one Er, one Pr, two equivalent Mn, one Fe, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.40–2.69 Å. In the second Co site, Co is bonded in a 2-coordinate geometry to two Pr, two equivalent Mn, one Fe, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.41–2.67 Å. In the third Co site, Co is bonded in a 2-coordinate geometry to one Er, one Pr, two Mn, one Fe, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.40–2.69 Å. In the fourth Co site, Co is bonded in a 2-coordinate geometry to two Pr, two Mn, one Fe, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.40–2.67 Å. In the fifth Co site, Co is bonded in a 2-coordinate geometry to one Er, one Pr, two Mn, one Fe, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.43–2.68 Å. In the sixth Co site, Co is bonded in a 2-coordinate geometry to two Pr, two Mn, one Fe, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.40–2.68 Å. In the seventh Co site, Co is bonded to one Er, two Pr, two equivalent Mn, and seven Co atoms to form distorted CoPr2ErMn2Co7 cuboctahedra that share corners with ten CoPr3Mn2Co7 cuboctahedra, edges with five CoPr2ErMn2Co7 cuboctahedra, and faces with seven CoPr2ErMn2Co7 cuboctahedra. There are two shorter (2.44 Å) and one longer (2.67 Å) Co–Co bond lengths. In the eighth Co site, Co is bonded to three Pr, two equivalent Mn, and seven Co atoms to form a mixture of distorted edge, face, and corner-sharing CoPr3Mn2Co7 cuboctahedra. There are two shorter (2.45 Å) and one longer (2.67 Å) Co–Co bond lengths. In the ninth Co site, Co is bonded to one Er, two equivalent Pr, two Mn, and seven Co atoms to form a mixture of distorted edge, face, and corner-sharing CoPr2ErMn2Co7 cuboctahedra. There are two shorter (2.43 Å) and one longer (2.68 Å) Co–Co bond lengths. In the tenth Co site, Co is bonded to three Pr, two Mn, and seven Co atoms to form distorted CoPr3Mn2Co7 cuboctahedra that share corners with ten CoPr3Mn2Co7 cuboctahedra, edges with five CoPr2ErMn2Co7 cuboctahedra, and faces with seven CoPr2ErMn2Co7 cuboctahedra. There are two shorter (2.45 Å) and one longer (2.66 Å) Co–Co bond lengths. In the eleventh Co site, Co is bonded to one Er, two Pr, two equivalent Mn, one Fe, and six Co atoms to form distorted CoPr2ErMn2FeCo6 cuboctahedra that share corners with ten CoPr3Mn2Co7 cuboctahedra, edges with five CoPr2ErMn2Co7 cuboctahedra, and faces with seven CoPr3Mn2Co7 cuboctahedra. In the twelfth Co site, Co is bonded to one Er, two Pr, two equivalent Mn, one Fe, and six Co atoms to form distorted CoPr2ErMn2FeCo6 cuboctahedra that share corners with ten CoPr2ErMn2Co7 cuboctahedra, edges with five CoPr3Mn2Co7 cuboctahedra, and faces with seven CoPr2ErMn2Co7 cuboctahedra. In the thirteenth Co site, Co is bonded to two equivalent Er, one Pr, two Mn, one Fe, and six Co atoms to form a mixture of distorted edge, face, and corner-sharing CoPrEr2Mn2FeCo6 cuboctahedra. In the fourteenth Co site, Co is bonded to three Pr, two Mn, one Fe, and six Co atoms to form distorted CoPr3Mn2FeCo6 cuboctahedra that share corners with ten CoPr2ErMn2Co7 cuboctahedra, edges with five CoPr3Mn2Co7 cuboctahedra, and faces with seven CoPr3Mn2Co7 cuboctahedra. In the fifteenth Co site, Co is bonded in a 4-coordinate geometry to one Pr, three Mn, one Fe, and nine Co atoms. In the sixteenth Co site, Co is bonded in a 4-coordinate geometry to one Pr, three Mn, one Fe, and nine Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr23Mg4Ru7 by Materials Project

Mg4Pr23Ru7 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 corner and face-sharing MgPr9Mg3 cuboctahedra. There are one shorter (3.14 Å) and two longer (3.19 Å) Mg–Mg bond lengths. There are a spread of Mg–Pr bond distances ranging from 3.46–3.76 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 3.46–3.73 Å. There are nine inequivalent Pr sites. In the first Pr site, Pr is bonded in a distorted water-like geometry to one Mg and four Ru atoms. There are two shorter (2.95 Å) and two longer (3.66 Å) Pr–Ru bond lengths. In the second Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Ru atoms. All Pr–Ru bond lengths are 3.00 Å. In the third Pr site, Pr is bonded in a 3-coordinate geometry to three Mg and three Ru atoms. There are two shorter (2.93 Å) and one longer (2.96 Å) Pr–Ru bond lengths. In the fourth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Mg and three equivalent Ru atoms. All Pr–Ru bond lengths are 2.91 Å. In the fifth Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two Mg and two equivalent Ru atoms. Both Pr–Ru bond lengths are 2.86 Å. In the sixth Pr site, Pr is bonded in a bent 150 degrees geometry to two equivalent Mg and two Ru atoms. There are one shorter (2.79 Å) and one longer (2.87 Å) Pr–Ru bond lengths. In the seventh Pr site, Pr is bonded in a 3-coordinate geometry to one Mg and two equivalent Ru atoms. Both Pr–Ru bond lengths are 3.62 Å. In the eighth Pr site, Pr is bonded in a 3-coordinate geometry to three Ru atoms. There are two shorter (2.93 Å) and one longer (3.02 Å) Pr–Ru bond lengths. In the ninth Pr site, Pr is bonded in a 4-coordinate geometry to two equivalent Mg and two Ru atoms. There are one shorter (3.49 Å) and one longer (3.65 Å) Pr–Ru bond lengths. There are three inequivalent Ru sites. In the first Ru site, Ru is bonded in a 6-coordinate geometry to nine Pr atoms. In the second Ru site, Ru is bonded in a 6-coordinate geometry to nine Pr atoms. In the third Ru site, Ru is bonded in a 6-coordinate geometry to eight Pr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr23Mg4Pt7 by Materials Project

Pr23Pt7Mg4 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 equivalent Mg and nine Pr atoms to form face-sharing MgPr9Mg3 cuboctahedra. All Mg–Mg bond lengths are 3.22 Å. There are a spread of Mg–Pr bond distances ranging from 3.50–3.71 Å. In the second Mg site, Mg is bonded to three Mg and nine Pr atoms to form a mixture of face and corner-sharing MgPr9Mg3 cuboctahedra. Both Mg–Mg bond lengths are 3.25 Å. There are a spread of Mg–Pr bond distances ranging from 3.49–3.75 Å. There are nine inequivalent Pr sites. In the first Pr site, Pr is bonded in a distorted bent 150 degrees geometry to two Mg and two equivalent Pt atoms. Both Pr–Pt bond lengths are 2.97 Å. In the second Pr site, Pr is bonded in a distorted T-shaped geometry to three Pt atoms. There are two shorter (3.01 Å) and one longer (3.08 Å) Pr–Pt bond lengths. In the third Pr site, Pr is bonded in a bent 150 degrees geometry to two equivalent Mg and two Pt atoms. There are one shorter (2.96 Å) and one longer (2.97 Å) Pr–Pt bond lengths. In the fourth Pr site, Pr is bonded in a 3-coordinate geometry to three Mg and three Pt atoms. There are one shorter (2.96 Å) and two longer (2.97 Å) Pr–Pt bond lengths. In the fifth Pr site, Pr is bonded in a 3-coordinate geometry to one Mg and two equivalent Pt atoms. Both Pr–Pt bond lengths are 3.74 Å. In the sixth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Pt atoms. All Pr–Pt bond lengths are 2.99 Å. In the seventh Pr site, Pr is bonded in a distorted water-like geometry to one Mg and four Pt atoms. There are two shorter (2.92 Å) and two longer (3.66 Å) Pr–Pt bond lengths. In the eighth Pr site, Pr is bonded in a 4-coordinate geometry to two equivalent Mg and two Pt atoms. There are one shorter (3.58 Å) and one longer (3.73 Å) Pr–Pt bond lengths. In the ninth Pr site, Pr is bonded in a 3-coordinate geometry to three equivalent Mg and three equivalent Pt atoms. All Pr–Pt bond lengths are 2.97 Å. There are three inequivalent Pt sites. In the first Pt site, Pt is bonded in a 6-coordinate geometry to nine Pr atoms. In the second Pt site, Pt is bonded in a 6-coordinate geometry to eight Pr atoms. In the third Pt site, Pt is bonded in a 6-coordinate geometry to nine Pr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr5Al4(AgGe2)2 by Materials Project

Pr5Al4(AgGe2)2 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 to two equivalent Ag, eight Al, and two equivalent Ge atoms to form a mixture of edge and face-sharing PrAl8Ag2Ge2 cuboctahedra. Both Pr–Ag bond lengths are 3.49 Å. There are four shorter (3.25 Å) and four longer (3.39 Å) Pr–Al bond lengths. Both Pr–Ge bond lengths are 3.22 Å. In the second Pr site, Pr is bonded to six Ag, two equivalent Al, and four equivalent Ge atoms to form a mixture of distorted edge and face-sharing PrAl2Ag6Ge4 cuboctahedra. There are two shorter (3.25 Å) and four longer (3.40 Å) Pr–Ag bond lengths. Both Pr–Al bond lengths are 3.51 Å. All Pr–Ge bond lengths are 3.24 Å. In the third Pr site, Pr is bonded to four equivalent Ag, two equivalent Al, and six Ge atoms to form a mixture of edge and face-sharing PrAl2Ag4Ge6 cuboctahedra. All Pr–Ag bond lengths are 3.33 Å. Both Pr–Al bond lengths are 3.26 Å. There are four shorter (3.29 Å) and two longer (3.44 Å) Pr–Ge bond lengths. In the fourth Pr site, Pr is bonded to six Al and six Ge atoms to form a mixture of edge and face-sharing PrAl6Ge6 cuboctahedra. There are two shorter (3.28 Å) and four longer (3.30 Å) Pr–Al bond lengths. There are two shorter (3.28 Å) and four longer (3.30 Å) Pr–Ge bond lengths. In the fifth Pr site, Pr is bonded to six Al and six Ge atoms to form a mixture of edge and face-sharing PrAl6Ge6 cuboctahedra. There are four shorter (3.29 Å) and two longer (3.33 Å) Pr–Al bond lengths. There are two shorter (3.26 Å) and four longer (3.30 Å) Pr–Ge bond lengths. There are two inequivalent Ag sites. In the first Ag site, Ag is bonded in a 3-coordinate geometry to six Pr, two equivalent Al, and one Ge atom. Both Ag–Al bond lengths are 2.51 Å. The Ag–Ge bond length is 2.58 Å. In the second Ag site, Ag is bonded in a 9-coordinate geometry to six Pr and three Ge atoms. All Ag–Ge bond lengths are 2.55 Å. There are four inequivalent Al sites. In the first Al site, Al is bonded in a distorted trigonal planar geometry to six Pr and three Ge atoms. There are two shorter (2.49 Å) and one longer (2.50 Å) Al–Ge bond lengths. In the second Al site, Al is bonded in a distorted trigonal planar geometry to six Pr and three Ge atoms. All Al–Ge bond lengths are 2.49 Å. In the third Al site, Al is bonded in a distorted bent 120 degrees geometry to six Pr, one Al, and two equivalent Ge atoms. The Al–Al bond length is 2.58 Å. Both Al–Ge bond lengths are 2.52 Å. In the fourth Al site, Al is bonded in a distorted bent 120 degrees geometry to six Pr, two equivalent Ag, and one Al atom. There are four inequivalent Ge sites. In the first Ge site, Ge is bonded in a 9-coordinate geometry to six Pr and three Ag atoms. In the second Ge site, Ge is bonded in a 3-coordinate geometry to six Pr, one Ag, and two equivalent Al atoms. In the third Ge site, Ge is bonded in a distorted trigonal planar geometry to six Pr and three Al atoms. In the fourth Ge site, Ge is bonded in a 3-coordinate geometry to six Pr and three Al atoms.

36 MATERIALS SCIENCE↗