Sm2Ce5O13 crystallizes in the trigonal R3m space group. There are two inequivalent Sm sites. In the first Sm site, Sm(1) is bonded in a 7-coordinate geometry to one O(1), three equivalent O(2), and three equivalent O(3) atoms. In the second Sm site, Sm(2) is bonded to one O(12), one O(3), and three equivalent O(13) atoms to form corner-sharing SmO5 trigonal bipyramids. There are five inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a body-centered cubic geometry to one O(2), one O(6), three equivalent O(1), and three equivalent O(5) atoms. In the second Ce site, Ce(2) is bonded in a body-centered cubic geometry to one O(4), one O(8), three equivalent O(7), and three equivalent O(9) atoms. In the third Ce site, Ce(3) is bonded in a body-centered cubic geometry to one O(5), one O(9), three equivalent O(4), and three equivalent O(6) atoms. In the fourth Ce site, Ce(4) is bonded in a body-centered cubic geometry to one O(10), one O(7), three equivalent O(11), and three equivalent O(8) atoms. In the fifth Ce site, Ce(5) is bonded in a body-centered cubic geometry to one O(11), one O(13), three equivalent O(10), and three equivalent O(12) atoms. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded to one Sm(1) and three equivalent Ce(1) atoms to form OCe3Sm tetrahedra that share corners with three equivalent O(5)Ce4 tetrahedra, corners with three equivalent O(6)Ce4 tetrahedra, corners with three equivalent O(3)Sm4 tetrahedra, corners with six equivalent O(1)Ce3Sm tetrahedra, edges with three equivalent O(5)Ce4 tetrahedra, and edges with three equivalent O(2)CeSm3 tetrahedra. In the second O site, O(2) is bonded to three equivalent Sm(1) and one Ce(1) atom to form OCeSm3 tetrahedra that share  a cornercorner with one O(6)Ce4 tetrahedra, corners with three equivalent O(5)Ce4 tetrahedra, corners with three equivalent O(3)Sm4 tetrahedra, corners with six equivalent O(2)CeSm3 tetrahedra, edges with three equivalent O(1)Ce3Sm tetrahedra, and edges with three equivalent O(3)Sm4 tetrahedra. In the third O site, O(3) is bonded to one Sm(2) and three equivalent Sm(1) atoms to form distorted OSm4 tetrahedra that share  a cornercorner with one O(12)Ce3Sm tetrahedra, corners with three equivalent O(1)Ce3Sm tetrahedra, corners with three equivalent O(13)CeSm3 tetrahedra, corners with three equivalent O(2)CeSm3 tetrahedra, corners with six equivalent O(3)Sm4 tetrahedra, and edges with three equivalent O(2)CeSm3 tetrahedra. In the fourth O site, O(4) is bonded to one Ce(2) and three equivalent Ce(3) atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the fifth O site, O(5) is bonded to one Ce(3) and three equivalent Ce(1) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(9)Ce4 tetrahedra, corners with three equivalent O(1)Ce3Sm tetrahedra, corners with three equivalent O(4)Ce4 tetrahedra, corners with three equivalent O(2)CeSm3 tetrahedra, corners with six equivalent O(5)Ce4 tetrahedra, edges with three equivalent O(1)Ce3Sm tetrahedra, and edges with three equivalent O(6)Ce4 tetrahedra. In the sixth O site, O(6) is bonded to one Ce(1) and three equivalent Ce(3) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(2)CeSm3 tetrahedra, corners with three equivalent O(1)Ce3Sm tetrahedra, corners with three equivalent O(4)Ce4 tetrahedra, corners with three equivalent O(9)Ce4 tetrahedra, corners with six equivalent O(6)Ce4 tetrahedra, edges with three equivalent O(4)Ce4 tetrahedra, and edges with three equivalent O(5)Ce4 tetrahedra. In the seventh O site, O(7) is bonded to one Ce(4) and three equivalent Ce(2) atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the eighth O site, O(8) is bonded to one Ce(2) and three equivalent Ce(4) atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the ninth O site, O(9) is bonded to one Ce(3) and three equivalent Ce(2) atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the tenth O site, O(10) is bonded to one Ce(4) and three equivalent Ce(5) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(7)Ce4 tetrahedra, corners with three equivalent O(12)Ce3Sm tetrahedra, corners with three equivalent O(8)Ce4 tetrahedra, corners with three equivalent O(13)CeSm3 tetrahedra, corners with six equivalent O(10)Ce4 tetrahedra, edges with three equivalent O(12)Ce3Sm tetrahedra, and edges with three equivalent O(11)Ce4 tetrahedra. In the eleventh O site, O(11) is bonded to one Ce(5) and three equivalent Ce(4) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(13)CeSm3 tetrahedra, corners with three equivalent O(12)Ce3Sm tetrahedra, corners with three equivalent O(7)Ce4 tetrahedra, corners with three equivalent O(8)Ce4 tetrahedra, corners with six equivalent O(11)Ce4 tetrahedra, edges with three equivalent O(10)Ce4 tetrahedra, and edges with three equivalent O(8)Ce4 tetrahedra. In the twelfth O site, O(12) is bonded to one Sm(2) and three equivalent Ce(5) atoms to form OCe3Sm tetrahedra that share  a cornercorner with one O(3)Sm4 tetrahedra, corners with three equivalent O(10)Ce4 tetrahedra, corners with three equivalent O(11)Ce4 tetrahedra, corners with six equivalent O(12)Ce3Sm tetrahedra, edges with three equivalent O(10)Ce4 tetrahedra, and edges with three equivalent O(13)CeSm3 tetrahedra. In the thirteenth O site, O(13) is bonded to three equivalent Sm(2) and one Ce(5) atom to form distorted OCeSm3 tetrahedra that share  a cornercorner with one O(11)Ce4 tetrahedra, corners with three equivalent O(10)Ce4 tetrahedra, corners with three equivalent O(3)Sm4 tetrahedra, corners with six equivalent O(13)CeSm3 tetrahedra, and edges with three equivalent O(12)Ce3Sm tetrahedra.
Sm2Ce5O13 crystallizes in the trigonal R3m space group. There are two inequivalent Sm sites. In the first Sm site, Sm(1) is bonded in a 7-coordinate geometry to one O(1), three equivalent O(2), and three equivalent O(3) atoms. The Sm(1)-O(1) bond length is 2.32 Å. All Sm(1)-O(2) bond lengths are 2.34 Å. All Sm(1)-O(3) bond lengths are 2.56 Å. In the second Sm site, Sm(2) is bonded to one O(12), one O(3), and three equivalent O(13) atoms to form corner-sharing SmO5 trigonal bipyramids. The Sm(2)-O(12) bond length is 2.38 Å. The Sm(2)-O(3) bond length is 2.19 Å. All Sm(2)-O(13) bond lengths are 2.27 Å. There are five inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a body-centered cubic geometry to one O(2), one O(6), three equivalent O(1), and three equivalent O(5) atoms. The Ce(1)-O(2) bond length is 2.32 Å. The Ce(1)-O(6) bond length is 2.44 Å. All Ce(1)-O(1) bond lengths are 2.34 Å. All Ce(1)-O(5) bond lengths are 2.38 Å. In the second Ce site, Ce(2) is bonded in a body-centered cubic geometry to one O(4), one O(8), three equivalent O(7), and three equivalent O(9) atoms. The Ce(2)-O(4) bond length is 2.33 Å. The Ce(2)-O(8) bond length is 2.46 Å. All Ce(2)-O(7) bond lengths are 2.39 Å. All Ce(2)-O(9) bond lengths are 2.34 Å. In the third Ce site, Ce(3) is bonded in a body-centered cubic geometry to one O(5), one O(9), three equivalent O(4), and three equivalent O(6) atoms. The Ce(3)-O(5) bond length is 2.32 Å. The Ce(3)-O(9) bond length is 2.46 Å. All Ce(3)-O(4) bond lengths are 2.39 Å. All Ce(3)-O(6) bond lengths are 2.34 Å. In the fourth Ce site, Ce(4) is bonded in a body-centered cubic geometry to one O(10), one O(7), three equivalent O(11), and three equivalent O(8) atoms. The Ce(4)-O(10) bond length is 2.43 Å. The Ce(4)-O(7) bond length is 2.33 Å. All Ce(4)-O(11) bond lengths are 2.39 Å. All Ce(4)-O(8) bond lengths are 2.34 Å. In the fifth Ce site, Ce(5) is bonded in a body-centered cubic geometry to one O(11), one O(13), three equivalent O(10), and three equivalent O(12) atoms. The Ce(5)-O(11) bond length is 2.29 Å. The Ce(5)-O(13) bond length is 2.75 Å. All Ce(5)-O(10) bond lengths are 2.34 Å. All Ce(5)-O(12) bond lengths are 2.37 Å. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded to one Sm(1) and three equivalent Ce(1) atoms to form OCe3Sm tetrahedra that share corners with three equivalent O(5)Ce4 tetrahedra, corners with three equivalent O(6)Ce4 tetrahedra, corners with three equivalent O(3)Sm4 tetrahedra, corners with six equivalent O(1)Ce3Sm tetrahedra, edges with three equivalent O(5)Ce4 tetrahedra, and edges with three equivalent O(2)CeSm3 tetrahedra. In the second O site, O(2) is bonded to three equivalent Sm(1) and one Ce(1) atom to form OCeSm3 tetrahedra that share  a cornercorner with one O(6)Ce4 tetrahedra, corners with three equivalent O(5)Ce4 tetrahedra, corners with three equivalent O(3)Sm4 tetrahedra, corners with six equivalent O(2)CeSm3 tetrahedra, edges with three equivalent O(1)Ce3Sm tetrahedra, and edges with three equivalent O(3)Sm4 tetrahedra. In the third O site, O(3) is bonded to one Sm(2) and three equivalent Sm(1) atoms to form distorted OSm4 tetrahedra that share  a cornercorner with one O(12)Ce3Sm tetrahedra, corners with three equivalent O(1)Ce3Sm tetrahedra, corners with three equivalent O(13)CeSm3 tetrahedra, corners with three equivalent O(2)CeSm3 tetrahedra, corners with six equivalent O(3)Sm4 tetrahedra, and edges with three equivalent O(2)CeSm3 tetrahedra. In the fourth O site, O(4) is bonded to one Ce(2) and three equivalent Ce(3) atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the fifth O site, O(5) is bonded to one Ce(3) and three equivalent Ce(1) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(9)Ce4 tetrahedra, corners with three equivalent O(1)Ce3Sm tetrahedra, corners with three equivalent O(4)Ce4 tetrahedra, corners with three equivalent O(2)CeSm3 tetrahedra, corners with six equivalent O(5)Ce4 tetrahedra, edges with three equivalent O(1)Ce3Sm tetrahedra, and edges with three equivalent O(6)Ce4 tetrahedra. In the sixth O site, O(6) is bonded to one Ce(1) and three equivalent Ce(3) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(2)CeSm3 tetrahedra, corners with three equivalent O(1)Ce3Sm tetrahedra, corners with three equivalent O(4)Ce4 tetrahedra, corners with three equivalent O(9)Ce4 tetrahedra, corners with six equivalent O(6)Ce4 tetrahedra, edges with three equivalent O(4)Ce4 tetrahedra, and edges with three equivalent O(5)Ce4 tetrahedra. In the seventh O site, O(7) is bonded to one Ce(4) and three equivalent Ce(2) atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the eighth O site, O(8) is bonded to one Ce(2) and three equivalent Ce(4) atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the ninth O site, O(9) is bonded to one Ce(3) and three equivalent Ce(2) atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the tenth O site, O(10) is bonded to one Ce(4) and three equivalent Ce(5) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(7)Ce4 tetrahedra, corners with three equivalent O(12)Ce3Sm tetrahedra, corners with three equivalent O(8)Ce4 tetrahedra, corners with three equivalent O(13)CeSm3 tetrahedra, corners with six equivalent O(10)Ce4 tetrahedra, edges with three equivalent O(12)Ce3Sm tetrahedra, and edges with three equivalent O(11)Ce4 tetrahedra. In the eleventh O site, O(11) is bonded to one Ce(5) and three equivalent Ce(4) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(13)CeSm3 tetrahedra, corners with three equivalent O(12)Ce3Sm tetrahedra, corners with three equivalent O(7)Ce4 tetrahedra, corners with three equivalent O(8)Ce4 tetrahedra, corners with six equivalent O(11)Ce4 tetrahedra, edges with three equivalent O(10)Ce4 tetrahedra, and edges with three equivalent O(8)Ce4 tetrahedra. In the twelfth O site, O(12) is bonded to one Sm(2) and three equivalent Ce(5) atoms to form OCe3Sm tetrahedra that share  a cornercorner with one O(3)Sm4 tetrahedra, corners with three equivalent O(10)Ce4 tetrahedra, corners with three equivalent O(11)Ce4 tetrahedra, corners with six equivalent O(12)Ce3Sm tetrahedra, edges with three equivalent O(10)Ce4 tetrahedra, and edges with three equivalent O(13)CeSm3 tetrahedra. In the thirteenth O site, O(13) is bonded to three equivalent Sm(2) and one Ce(5) atom to form distorted OCeSm3 tetrahedra that share  a cornercorner with one O(11)Ce4 tetrahedra, corners with three equivalent O(10)Ce4 tetrahedra, corners with three equivalent O(3)Sm4 tetrahedra, corners with six equivalent O(13)CeSm3 tetrahedra, and edges with three equivalent O(12)Ce3Sm tetrahedra.