Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “Pr”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 325 records · Page 18

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↗

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↗