Pr4CeO10 is Fluorite-derived structured and crystallizes in the trigonal R-3m space group. There are two inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a body-centered cubic geometry to one O(3), one O(4), three equivalent O(1), and three equivalent O(5) atoms. In the second Pr site, Pr(2) is bonded in a body-centered cubic geometry to one O(5), three equivalent O(3), and four equivalent O(2) atoms. Ce(1) is bonded in a body-centered cubic geometry to two equivalent O(1) and six equivalent O(4) atoms. There are five inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Pr(1) and one Ce(1) atom to form OCePr3 tetrahedra that share corners with three equivalent O(4)Ce3Pr tetrahedra, corners with three equivalent O(3)Pr4 tetrahedra, corners with three equivalent O(5)Pr4 tetrahedra, corners with seven equivalent O(1)CePr3 tetrahedra, edges with three equivalent O(4)Ce3Pr tetrahedra, and edges with three equivalent O(5)Pr4 tetrahedra. In the second O site, O(2) is bonded to four equivalent Pr(2) atoms to form a mixture of corner and edge-sharing OPr4 tetrahedra. In the third O site, O(3) is bonded to one Pr(1) and three equivalent Pr(2) atoms to form OPr4 tetrahedra that share  a cornercorner with one O(4)Ce3Pr tetrahedra, corners with three equivalent O(1)CePr3 tetrahedra, corners with six equivalent O(2)Pr4 tetrahedra, corners with six equivalent O(3)Pr4 tetrahedra, edges with three equivalent O(2)Pr4 tetrahedra, and edges with three equivalent O(5)Pr4 tetrahedra. In the fourth O site, O(4) is bonded to one Pr(1) and three equivalent Ce(1) atoms to form OCe3Pr tetrahedra that share  a cornercorner with one O(3)Pr4 tetrahedra, corners with three equivalent O(1)CePr3 tetrahedra, corners with three equivalent O(5)Pr4 tetrahedra, corners with nine equivalent O(4)Ce3Pr tetrahedra, edges with three equivalent O(4)Ce3Pr tetrahedra, and edges with three equivalent O(1)CePr3 tetrahedra. In the fifth O site, O(5) is bonded to one Pr(2) and three equivalent Pr(1) atoms to form OPr4 tetrahedra that share corners with three equivalent O(4)Ce3Pr tetrahedra, corners with three equivalent O(1)CePr3 tetrahedra, corners with four equivalent O(2)Pr4 tetrahedra, corners with six equivalent O(5)Pr4 tetrahedra, edges with three equivalent O(1)CePr3 tetrahedra, and edges with three equivalent O(3)Pr4 tetrahedra.
Pr4CeO10 is Fluorite-derived structured and crystallizes in the trigonal R-3m space group. There are two inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a body-centered cubic geometry to one O(3), one O(4), three equivalent O(1), and three equivalent O(5) atoms. The Pr(1)-O(3) bond length is 2.50 Å. The Pr(1)-O(4) bond length is 2.50 Å. All Pr(1)-O(1) bond lengths are 2.49 Å. All Pr(1)-O(5) bond lengths are 2.48 Å. In the second Pr site, Pr(2) is bonded in a body-centered cubic geometry to one O(5), three equivalent O(3), and four equivalent O(2) atoms. The Pr(2)-O(5) bond length is 2.45 Å. All Pr(2)-O(3) bond lengths are 2.46 Å. There are three shorter (2.47 Å) and one longer (2.48 Å) Pr(2)-O(2) bond length. Ce(1) is bonded in a body-centered cubic geometry to two equivalent O(1) and six equivalent O(4) atoms. Both Ce(1)-O(1) bond lengths are 2.28 Å. All Ce(1)-O(4) bond lengths are 2.42 Å. There are five inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Pr(1) and one Ce(1) atom to form OCePr3 tetrahedra that share corners with three equivalent O(4)Ce3Pr tetrahedra, corners with three equivalent O(3)Pr4 tetrahedra, corners with three equivalent O(5)Pr4 tetrahedra, corners with seven equivalent O(1)CePr3 tetrahedra, edges with three equivalent O(4)Ce3Pr tetrahedra, and edges with three equivalent O(5)Pr4 tetrahedra. In the second O site, O(2) is bonded to four equivalent Pr(2) atoms to form a mixture of corner and edge-sharing OPr4 tetrahedra. In the third O site, O(3) is bonded to one Pr(1) and three equivalent Pr(2) atoms to form OPr4 tetrahedra that share  a cornercorner with one O(4)Ce3Pr tetrahedra, corners with three equivalent O(1)CePr3 tetrahedra, corners with six equivalent O(2)Pr4 tetrahedra, corners with six equivalent O(3)Pr4 tetrahedra, edges with three equivalent O(2)Pr4 tetrahedra, and edges with three equivalent O(5)Pr4 tetrahedra. In the fourth O site, O(4) is bonded to one Pr(1) and three equivalent Ce(1) atoms to form OCe3Pr tetrahedra that share  a cornercorner with one O(3)Pr4 tetrahedra, corners with three equivalent O(1)CePr3 tetrahedra, corners with three equivalent O(5)Pr4 tetrahedra, corners with nine equivalent O(4)Ce3Pr tetrahedra, edges with three equivalent O(4)Ce3Pr tetrahedra, and edges with three equivalent O(1)CePr3 tetrahedra. In the fifth O site, O(5) is bonded to one Pr(2) and three equivalent Pr(1) atoms to form OPr4 tetrahedra that share corners with three equivalent O(4)Ce3Pr tetrahedra, corners with three equivalent O(1)CePr3 tetrahedra, corners with four equivalent O(2)Pr4 tetrahedra, corners with six equivalent O(5)Pr4 tetrahedra, edges with three equivalent O(1)CePr3 tetrahedra, and edges with three equivalent O(3)Pr4 tetrahedra.