YPr is beta-derived structured and crystallizes in the trigonal R3m space group. There are four inequivalent Pr sites. In the first Pr site, Pr(1) is bonded to three equivalent Pr(3), six equivalent Pr(1), and three equivalent Y(3) atoms to form PrPr9Y3 cuboctahedra that share corners with six equivalent Pr(1)Pr9Y3 cuboctahedra, corners with six equivalent Y(1)Pr3Y9 cuboctahedra, corners with six equivalent Y(2)Pr6Y6 cuboctahedra, edges with six equivalent Pr(1)Pr9Y3 cuboctahedra, edges with six equivalent Pr(3)Pr9Y3 cuboctahedra, edges with six equivalent Y(3)Pr3Y9 cuboctahedra,  a faceface with one Y(1)Pr3Y9 cuboctahedra,  a faceface with one Y(2)Pr6Y6 cuboctahedra, faces with six equivalent Pr(1)Pr9Y3 cuboctahedra, faces with six equivalent Pr(3)Pr9Y3 cuboctahedra, and faces with six equivalent Y(3)Pr3Y9 cuboctahedra. In the second Pr site, Pr(2) is bonded to six equivalent Pr(2), three equivalent Y(1), and three equivalent Y(2) atoms to form PrPr6Y6 cuboctahedra that share corners with six equivalent Pr(2)Pr6Y6 cuboctahedra, corners with six equivalent Pr(3)Pr9Y3 cuboctahedra, corners with six equivalent Y(3)Pr3Y9 cuboctahedra, edges with six equivalent Pr(2)Pr6Y6 cuboctahedra, edges with six equivalent Y(1)Pr3Y9 cuboctahedra, edges with six equivalent Y(2)Pr6Y6 cuboctahedra,  a faceface with one Pr(3)Pr9Y3 cuboctahedra,  a faceface with one Y(3)Pr3Y9 cuboctahedra, faces with six equivalent Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Y(1)Pr3Y9 cuboctahedra, and faces with six equivalent Y(2)Pr6Y6 cuboctahedra. In the third Pr site, Pr(3) is bonded to three equivalent Pr(1), six equivalent Pr(3), and three equivalent Y(2) atoms to form PrPr9Y3 cuboctahedra that share corners with three equivalent Y(3)Pr3Y9 cuboctahedra, corners with six equivalent Pr(2)Pr6Y6 cuboctahedra, corners with six equivalent Pr(3)Pr9Y3 cuboctahedra, edges with three equivalent Y(3)Pr3Y9 cuboctahedra, edges with six equivalent Pr(1)Pr9Y3 cuboctahedra, edges with six equivalent Pr(3)Pr9Y3 cuboctahedra, edges with six equivalent Y(2)Pr6Y6 cuboctahedra,  a faceface with one Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Pr(1)Pr9Y3 cuboctahedra, faces with six equivalent Pr(3)Pr9Y3 cuboctahedra, and faces with six equivalent Y(2)Pr6Y6 cuboctahedra. In the fourth Pr site, Pr(2) is bonded to six equivalent Pr(2), three equivalent Y(1), and three equivalent Y(2) atoms to form PrPr6Y6 cuboctahedra that share corners with six equivalent Pr(2)Pr6Y6 cuboctahedra, corners with six equivalent Pr(3)Pr9Y3 cuboctahedra, corners with six equivalent Y(3)Pr3Y9 cuboctahedra, edges with six equivalent Pr(2)Pr6Y6 cuboctahedra, edges with six equivalent Y(1)Pr3Y9 cuboctahedra, edges with six equivalent Y(2)Pr6Y6 cuboctahedra,  a faceface with one Pr(3)Pr9Y3 cuboctahedra,  a faceface with one Y(3)Pr3Y9 cuboctahedra, faces with six equivalent Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Y(1)Pr3Y9 cuboctahedra, and faces with six equivalent Y(2)Pr6Y6 cuboctahedra. There are four inequivalent Y sites. In the first Y site, Y(1) is bonded to three equivalent Pr(2), three equivalent Y(3), and six equivalent Y(1) atoms to form YPr3Y9 cuboctahedra that share corners with three equivalent Y(2)Pr6Y6 cuboctahedra, corners with six equivalent Pr(1)Pr9Y3 cuboctahedra, corners with six equivalent Y(1)Pr3Y9 cuboctahedra, edges with three equivalent Y(2)Pr6Y6 cuboctahedra, edges with six equivalent Pr(2)Pr6Y6 cuboctahedra, edges with six equivalent Y(1)Pr3Y9 cuboctahedra, edges with six equivalent Y(3)Pr3Y9 cuboctahedra,  a faceface with one Pr(1)Pr9Y3 cuboctahedra, faces with six equivalent Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Y(1)Pr3Y9 cuboctahedra, and faces with six equivalent Y(3)Pr3Y9 cuboctahedra. In the second Y site, Y(2) is bonded to three equivalent Pr(2), three equivalent Pr(3), and six equivalent Y(2) atoms to form YPr6Y6 cuboctahedra that share corners with three equivalent Y(1)Pr3Y9 cuboctahedra, corners with six equivalent Pr(1)Pr9Y3 cuboctahedra, corners with six equivalent Y(2)Pr6Y6 cuboctahedra, edges with three equivalent Y(1)Pr3Y9 cuboctahedra, edges with six equivalent Pr(2)Pr6Y6 cuboctahedra, edges with six equivalent Pr(3)Pr9Y3 cuboctahedra, edges with six equivalent Y(2)Pr6Y6 cuboctahedra,  a faceface with one Pr(1)Pr9Y3 cuboctahedra, faces with six equivalent Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Pr(3)Pr9Y3 cuboctahedra, and faces with six equivalent Y(2)Pr6Y6 cuboctahedra. In the third Y site, Y(3) is bonded to three equivalent Pr(1), three equivalent Y(1), and six equivalent Y(3) atoms to form YPr3Y9 cuboctahedra that share corners with three equivalent Pr(3)Pr9Y3 cuboctahedra, corners with six equivalent Pr(2)Pr6Y6 cuboctahedra, corners with six equivalent Y(3)Pr3Y9 cuboctahedra, edges with three equivalent Pr(3)Pr9Y3 cuboctahedra, edges with six equivalent Pr(1)Pr9Y3 cuboctahedra, edges with six equivalent Y(1)Pr3Y9 cuboctahedra, edges with six equivalent Y(3)Pr3Y9 cuboctahedra,  a faceface with one Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Pr(1)Pr9Y3 cuboctahedra, faces with six equivalent Y(1)Pr3Y9 cuboctahedra, and faces with six equivalent Y(3)Pr3Y9 cuboctahedra. In the fourth Y site, Y(2) is bonded to three equivalent Pr(2), three equivalent Pr(3), and six equivalent Y(2) atoms to form YPr6Y6 cuboctahedra that share corners with three equivalent Y(1)Pr3Y9 cuboctahedra, corners with six equivalent Pr(1)Pr9Y3 cuboctahedra, corners with six equivalent Y(2)Pr6Y6 cuboctahedra, edges with three equivalent Y(1)Pr3Y9 cuboctahedra, edges with six equivalent Pr(2)Pr6Y6 cuboctahedra, edges with six equivalent Pr(3)Pr9Y3 cuboctahedra, edges with six equivalent Y(2)Pr6Y6 cuboctahedra,  a faceface with one Pr(1)Pr9Y3 cuboctahedra, faces with six equivalent Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Pr(3)Pr9Y3 cuboctahedra, and faces with six equivalent Y(2)Pr6Y6 cuboctahedra.
YPr is beta-derived structured and crystallizes in the trigonal R3m space group. There are four inequivalent Pr sites. In the first Pr site, Pr(1) is bonded to three equivalent Pr(3), six equivalent Pr(1), and three equivalent Y(3) atoms to form PrPr9Y3 cuboctahedra that share corners with six equivalent Pr(1)Pr9Y3 cuboctahedra, corners with six equivalent Y(1)Pr3Y9 cuboctahedra, corners with six equivalent Y(2)Pr6Y6 cuboctahedra, edges with six equivalent Pr(1)Pr9Y3 cuboctahedra, edges with six equivalent Pr(3)Pr9Y3 cuboctahedra, edges with six equivalent Y(3)Pr3Y9 cuboctahedra,  a faceface with one Y(1)Pr3Y9 cuboctahedra,  a faceface with one Y(2)Pr6Y6 cuboctahedra, faces with six equivalent Pr(1)Pr9Y3 cuboctahedra, faces with six equivalent Pr(3)Pr9Y3 cuboctahedra, and faces with six equivalent Y(3)Pr3Y9 cuboctahedra. All Pr(1)-Pr(3) bond lengths are 3.75 Å. All Pr(1)-Pr(1) bond lengths are 3.69 Å. All Pr(1)-Y(3) bond lengths are 3.65 Å. In the second Pr site, Pr(2) is bonded to six equivalent Pr(2), three equivalent Y(1), and three equivalent Y(2) atoms to form PrPr6Y6 cuboctahedra that share corners with six equivalent Pr(2)Pr6Y6 cuboctahedra, corners with six equivalent Pr(3)Pr9Y3 cuboctahedra, corners with six equivalent Y(3)Pr3Y9 cuboctahedra, edges with six equivalent Pr(2)Pr6Y6 cuboctahedra, edges with six equivalent Y(1)Pr3Y9 cuboctahedra, edges with six equivalent Y(2)Pr6Y6 cuboctahedra,  a faceface with one Pr(3)Pr9Y3 cuboctahedra,  a faceface with one Y(3)Pr3Y9 cuboctahedra, faces with six equivalent Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Y(1)Pr3Y9 cuboctahedra, and faces with six equivalent Y(2)Pr6Y6 cuboctahedra. All Pr(2)-Pr(2) bond lengths are 3.69 Å. All Pr(2)-Y(1) bond lengths are 3.67 Å. All Pr(2)-Y(2) bond lengths are 3.65 Å. In the third Pr site, Pr(3) is bonded to three equivalent Pr(1), six equivalent Pr(3), and three equivalent Y(2) atoms to form PrPr9Y3 cuboctahedra that share corners with three equivalent Y(3)Pr3Y9 cuboctahedra, corners with six equivalent Pr(2)Pr6Y6 cuboctahedra, corners with six equivalent Pr(3)Pr9Y3 cuboctahedra, edges with three equivalent Y(3)Pr3Y9 cuboctahedra, edges with six equivalent Pr(1)Pr9Y3 cuboctahedra, edges with six equivalent Pr(3)Pr9Y3 cuboctahedra, edges with six equivalent Y(2)Pr6Y6 cuboctahedra,  a faceface with one Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Pr(1)Pr9Y3 cuboctahedra, faces with six equivalent Pr(3)Pr9Y3 cuboctahedra, and faces with six equivalent Y(2)Pr6Y6 cuboctahedra. All Pr(3)-Pr(3) bond lengths are 3.69 Å. All Pr(3)-Y(2) bond lengths are 3.66 Å. In the fourth Pr site, Pr(2) is bonded to six equivalent Pr(2), three equivalent Y(1), and three equivalent Y(2) atoms to form PrPr6Y6 cuboctahedra that share corners with six equivalent Pr(2)Pr6Y6 cuboctahedra, corners with six equivalent Pr(3)Pr9Y3 cuboctahedra, corners with six equivalent Y(3)Pr3Y9 cuboctahedra, edges with six equivalent Pr(2)Pr6Y6 cuboctahedra, edges with six equivalent Y(1)Pr3Y9 cuboctahedra, edges with six equivalent Y(2)Pr6Y6 cuboctahedra,  a faceface with one Pr(3)Pr9Y3 cuboctahedra,  a faceface with one Y(3)Pr3Y9 cuboctahedra, faces with six equivalent Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Y(1)Pr3Y9 cuboctahedra, and faces with six equivalent Y(2)Pr6Y6 cuboctahedra. All Pr(2)-Pr(2) bond lengths are 3.69 Å. All Pr(2)-Y(1) bond lengths are 3.67 Å. All Pr(2)-Y(2) bond lengths are 3.65 Å. There are four inequivalent Y sites. In the first Y site, Y(1) is bonded to three equivalent Pr(2), three equivalent Y(3), and six equivalent Y(1) atoms to form YPr3Y9 cuboctahedra that share corners with three equivalent Y(2)Pr6Y6 cuboctahedra, corners with six equivalent Pr(1)Pr9Y3 cuboctahedra, corners with six equivalent Y(1)Pr3Y9 cuboctahedra, edges with three equivalent Y(2)Pr6Y6 cuboctahedra, edges with six equivalent Pr(2)Pr6Y6 cuboctahedra, edges with six equivalent Y(1)Pr3Y9 cuboctahedra, edges with six equivalent Y(3)Pr3Y9 cuboctahedra,  a faceface with one Pr(1)Pr9Y3 cuboctahedra, faces with six equivalent Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Y(1)Pr3Y9 cuboctahedra, and faces with six equivalent Y(3)Pr3Y9 cuboctahedra. All Y(1)-Y(3) bond lengths are 3.59 Å. All Y(1)-Y(1) bond lengths are 3.69 Å. In the second Y site, Y(2) is bonded to three equivalent Pr(2), three equivalent Pr(3), and six equivalent Y(2) atoms to form YPr6Y6 cuboctahedra that share corners with three equivalent Y(1)Pr3Y9 cuboctahedra, corners with six equivalent Pr(1)Pr9Y3 cuboctahedra, corners with six equivalent Y(2)Pr6Y6 cuboctahedra, edges with three equivalent Y(1)Pr3Y9 cuboctahedra, edges with six equivalent Pr(2)Pr6Y6 cuboctahedra, edges with six equivalent Pr(3)Pr9Y3 cuboctahedra, edges with six equivalent Y(2)Pr6Y6 cuboctahedra,  a faceface with one Pr(1)Pr9Y3 cuboctahedra, faces with six equivalent Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Pr(3)Pr9Y3 cuboctahedra, and faces with six equivalent Y(2)Pr6Y6 cuboctahedra. All Y(2)-Y(2) bond lengths are 3.69 Å. In the third Y site, Y(3) is bonded to three equivalent Pr(1), three equivalent Y(1), and six equivalent Y(3) atoms to form YPr3Y9 cuboctahedra that share corners with three equivalent Pr(3)Pr9Y3 cuboctahedra, corners with six equivalent Pr(2)Pr6Y6 cuboctahedra, corners with six equivalent Y(3)Pr3Y9 cuboctahedra, edges with three equivalent Pr(3)Pr9Y3 cuboctahedra, edges with six equivalent Pr(1)Pr9Y3 cuboctahedra, edges with six equivalent Y(1)Pr3Y9 cuboctahedra, edges with six equivalent Y(3)Pr3Y9 cuboctahedra,  a faceface with one Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Pr(1)Pr9Y3 cuboctahedra, faces with six equivalent Y(1)Pr3Y9 cuboctahedra, and faces with six equivalent Y(3)Pr3Y9 cuboctahedra. All Y(3)-Y(3) bond lengths are 3.69 Å. In the fourth Y site, Y(2) is bonded to three equivalent Pr(2), three equivalent Pr(3), and six equivalent Y(2) atoms to form YPr6Y6 cuboctahedra that share corners with three equivalent Y(1)Pr3Y9 cuboctahedra, corners with six equivalent Pr(1)Pr9Y3 cuboctahedra, corners with six equivalent Y(2)Pr6Y6 cuboctahedra, edges with three equivalent Y(1)Pr3Y9 cuboctahedra, edges with six equivalent Pr(2)Pr6Y6 cuboctahedra, edges with six equivalent Pr(3)Pr9Y3 cuboctahedra, edges with six equivalent Y(2)Pr6Y6 cuboctahedra,  a faceface with one Pr(1)Pr9Y3 cuboctahedra, faces with six equivalent Pr(2)Pr6Y6 cuboctahedra, faces with six equivalent Pr(3)Pr9Y3 cuboctahedra, and faces with six equivalent Y(2)Pr6Y6 cuboctahedra. All Y(2)-Pr(2) bond lengths are 3.65 Å. All Y(2)-Pr(3) bond lengths are 3.66 Å. All Y(2)-Y(2) bond lengths are 3.69 Å.