Ce13O24 crystallizes in the triclinic P1 space group. There are thirteen inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 7-coordinate geometry to one O(1), one O(20), one O(22), one O(24), one O(3), one O(5), and one O(7) atom. In the second Ce site, Ce(2) is bonded to one O(1), one O(2), one O(23), one O(4), one O(5), one O(7), and one O(8) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. In the third Ce site, Ce(3) is bonded in a body-centered cubic geometry to one O(1), one O(10), one O(2), one O(24), one O(3), one O(6), one O(7), and one O(8) atom. In the fourth Ce site, Ce(4) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(2), one O(3), one O(4), one O(5), and one O(8) atom. In the fifth Ce site, Ce(5) is bonded in a body-centered cubic geometry to one O(10), one O(11), one O(13), one O(3), one O(4), one O(6), one O(7), and one O(9) atom. In the sixth Ce site, Ce(6) is bonded to one O(11), one O(12), one O(13), one O(15), one O(4), one O(6), and one O(8) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. In the seventh Ce site, Ce(7) is bonded to one O(10), one O(13), one O(14), one O(15), one O(17), one O(6), and one O(9) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. In the eighth Ce site, Ce(8) is bonded in a 7-coordinate geometry to one O(11), one O(12), one O(15), one O(16), one O(17), one O(19), and one O(9) atom. In the ninth Ce site, Ce(9) is bonded in a body-centered cubic geometry to one O(12), one O(13), one O(14), one O(17), one O(18), one O(19), one O(21), and one O(9) atom. In the tenth Ce site, Ce(10) is bonded in a body-centered cubic geometry to one O(12), one O(14), one O(15), one O(16), one O(19), one O(20), one O(21), and one O(22) atom. In the eleventh Ce site, Ce(11) is bonded to one O(14), one O(16), one O(17), one O(18), one O(21), one O(22), and one O(23) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. In the twelfth Ce site, Ce(12) is bonded in a body-centered cubic geometry to one O(1), one O(16), one O(18), one O(19), one O(20), one O(22), one O(23), and one O(24) atom. In the thirteenth Ce site, Ce(13) is bonded to one O(18), one O(2), one O(20), one O(21), one O(23), one O(24), and one O(5) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Ce(1), one Ce(12), one Ce(2), and one Ce(3) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the second O site, O(2) is bonded to one Ce(13), one Ce(2), one Ce(3), and one Ce(4) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the third O site, O(3) is bonded to one Ce(1), one Ce(3), one Ce(4), and one Ce(5) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fourth O site, O(4) is bonded to one Ce(2), one Ce(4), one Ce(5), and one Ce(6) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fifth O site, O(5) is bonded to one Ce(1), one Ce(13), one Ce(2), and one Ce(4) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the sixth O site, O(6) is bonded to one Ce(3), one Ce(5), one Ce(6), and one Ce(7) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the seventh O site, O(7) is bonded to one Ce(1), one Ce(2), one Ce(3), and one Ce(5) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the eighth O site, O(8) is bonded to one Ce(2), one Ce(3), one Ce(4), and one Ce(6) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the ninth O site, O(9) is bonded to one Ce(5), one Ce(7), one Ce(8), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the tenth O site, O(10) is bonded to one Ce(3), one Ce(4), one Ce(5), and one Ce(7) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the eleventh O site, O(11) is bonded to one Ce(4), one Ce(5), one Ce(6), and one Ce(8) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twelfth O site, O(12) is bonded to one Ce(10), one Ce(6), one Ce(8), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Ce(5), one Ce(6), one Ce(7), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fourteenth O site, O(14) is bonded to one Ce(10), one Ce(11), one Ce(7), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Ce(10), one Ce(6), one Ce(7), and one Ce(8) atom to form a mixture of distorted corner and edge-sharing OCe4 tetrahedra. In the sixteenth O site, O(16) is bonded to one Ce(10), one Ce(11), one Ce(12), and one Ce(8) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the seventeenth O site, O(17) is bonded to one Ce(11), one Ce(7), one Ce(8), and one Ce(9) atom to form a mixture of distorted corner and edge-sharing OCe4 tetrahedra. In the eighteenth O site, O(18) is bonded to one Ce(11), one Ce(12), one Ce(13), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the nineteenth O site, O(19) is bonded to one Ce(10), one Ce(12), one Ce(8), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twentieth O site, O(20) is bonded to one Ce(1), one Ce(10), one Ce(12), and one Ce(13) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-first O site, O(21) is bonded to one Ce(10), one Ce(11), one Ce(13), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-second O site, O(22) is bonded to one Ce(1), one Ce(10), one Ce(11), and one Ce(12) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-third O site, O(23) is bonded to one Ce(11), one Ce(12), one Ce(13), and one Ce(2) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-fourth O site, O(24) is bonded to one Ce(1), one Ce(12), one Ce(13), and one Ce(3) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra.
Ce13O24 crystallizes in the triclinic P1 space group. There are thirteen inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 7-coordinate geometry to one O(1), one O(20), one O(22), one O(24), one O(3), one O(5), and one O(7) atom. The Ce(1)-O(1) bond length is 2.46 Å. The Ce(1)-O(20) bond length is 2.42 Å. The Ce(1)-O(22) bond length is 2.27 Å. The Ce(1)-O(24) bond length is 2.37 Å. The Ce(1)-O(3) bond length is 2.33 Å. The Ce(1)-O(5) bond length is 2.34 Å. The Ce(1)-O(7) bond length is 2.33 Å. In the second Ce site, Ce(2) is bonded to one O(1), one O(2), one O(23), one O(4), one O(5), one O(7), and one O(8) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. The Ce(2)-O(1) bond length is 2.34 Å. The Ce(2)-O(2) bond length is 2.31 Å. The Ce(2)-O(23) bond length is 2.33 Å. The Ce(2)-O(4) bond length is 2.34 Å. The Ce(2)-O(5) bond length is 2.36 Å. The Ce(2)-O(7) bond length is 2.29 Å. The Ce(2)-O(8) bond length is 2.37 Å. In the third Ce site, Ce(3) is bonded in a body-centered cubic geometry to one O(1), one O(10), one O(2), one O(24), one O(3), one O(6), one O(7), and one O(8) atom. The Ce(3)-O(1) bond length is 2.28 Å. The Ce(3)-O(10) bond length is 2.42 Å. The Ce(3)-O(2) bond length is 2.37 Å. The Ce(3)-O(24) bond length is 2.56 Å. The Ce(3)-O(3) bond length is 2.40 Å. The Ce(3)-O(6) bond length is 2.40 Å. The Ce(3)-O(7) bond length is 2.53 Å. The Ce(3)-O(8) bond length is 2.60 Å. In the fourth Ce site, Ce(4) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(2), one O(3), one O(4), one O(5), and one O(8) atom. The Ce(4)-O(10) bond length is 2.37 Å. The Ce(4)-O(11) bond length is 2.33 Å. The Ce(4)-O(2) bond length is 2.31 Å. The Ce(4)-O(3) bond length is 2.35 Å. The Ce(4)-O(4) bond length is 2.31 Å. The Ce(4)-O(5) bond length is 2.39 Å. The Ce(4)-O(8) bond length is 2.32 Å. In the fifth Ce site, Ce(5) is bonded in a body-centered cubic geometry to one O(10), one O(11), one O(13), one O(3), one O(4), one O(6), one O(7), and one O(9) atom. The Ce(5)-O(10) bond length is 2.47 Å. The Ce(5)-O(11) bond length is 2.60 Å. The Ce(5)-O(13) bond length is 2.55 Å. The Ce(5)-O(3) bond length is 2.39 Å. The Ce(5)-O(4) bond length is 2.35 Å. The Ce(5)-O(6) bond length is 2.29 Å. The Ce(5)-O(7) bond length is 2.51 Å. The Ce(5)-O(9) bond length is 2.36 Å. In the sixth Ce site, Ce(6) is bonded to one O(11), one O(12), one O(13), one O(15), one O(4), one O(6), and one O(8) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. The Ce(6)-O(11) bond length is 2.35 Å. The Ce(6)-O(12) bond length is 2.39 Å. The Ce(6)-O(13) bond length is 2.29 Å. The Ce(6)-O(15) bond length is 2.32 Å. The Ce(6)-O(4) bond length is 2.33 Å. The Ce(6)-O(6) bond length is 2.36 Å. The Ce(6)-O(8) bond length is 2.34 Å. In the seventh Ce site, Ce(7) is bonded to one O(10), one O(13), one O(14), one O(15), one O(17), one O(6), and one O(9) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. The Ce(7)-O(10) bond length is 2.31 Å. The Ce(7)-O(13) bond length is 2.34 Å. The Ce(7)-O(14) bond length is 2.30 Å. The Ce(7)-O(15) bond length is 2.32 Å. The Ce(7)-O(17) bond length is 2.34 Å. The Ce(7)-O(6) bond length is 2.44 Å. The Ce(7)-O(9) bond length is 2.42 Å. In the eighth Ce site, Ce(8) is bonded in a 7-coordinate geometry to one O(11), one O(12), one O(15), one O(16), one O(17), one O(19), and one O(9) atom. The Ce(8)-O(11) bond length is 2.32 Å. The Ce(8)-O(12) bond length is 2.36 Å. The Ce(8)-O(15) bond length is 2.33 Å. The Ce(8)-O(16) bond length is 2.35 Å. The Ce(8)-O(17) bond length is 2.31 Å. The Ce(8)-O(19) bond length is 2.28 Å. The Ce(8)-O(9) bond length is 2.36 Å. In the ninth Ce site, Ce(9) is bonded in a body-centered cubic geometry to one O(12), one O(13), one O(14), one O(17), one O(18), one O(19), one O(21), and one O(9) atom. The Ce(9)-O(12) bond length is 2.35 Å. The Ce(9)-O(13) bond length is 2.46 Å. The Ce(9)-O(14) bond length is 2.42 Å. The Ce(9)-O(17) bond length is 2.66 Å. The Ce(9)-O(18) bond length is 2.35 Å. The Ce(9)-O(19) bond length is 2.37 Å. The Ce(9)-O(21) bond length is 2.47 Å. The Ce(9)-O(9) bond length is 2.32 Å. In the tenth Ce site, Ce(10) is bonded in a body-centered cubic geometry to one O(12), one O(14), one O(15), one O(16), one O(19), one O(20), one O(21), and one O(22) atom. The Ce(10)-O(12) bond length is 2.33 Å. The Ce(10)-O(14) bond length is 2.33 Å. The Ce(10)-O(15) bond length is 2.66 Å. The Ce(10)-O(16) bond length is 2.35 Å. The Ce(10)-O(19) bond length is 2.37 Å. The Ce(10)-O(20) bond length is 2.39 Å. The Ce(10)-O(21) bond length is 2.50 Å. The Ce(10)-O(22) bond length is 2.48 Å. In the eleventh Ce site, Ce(11) is bonded to one O(14), one O(16), one O(17), one O(18), one O(21), one O(22), and one O(23) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. The Ce(11)-O(14) bond length is 2.37 Å. The Ce(11)-O(16) bond length is 2.42 Å. The Ce(11)-O(17) bond length is 2.35 Å. The Ce(11)-O(18) bond length is 2.28 Å. The Ce(11)-O(21) bond length is 2.28 Å. The Ce(11)-O(22) bond length is 2.40 Å. The Ce(11)-O(23) bond length is 2.34 Å. In the twelfth Ce site, Ce(12) is bonded in a body-centered cubic geometry to one O(1), one O(16), one O(18), one O(19), one O(20), one O(22), one O(23), and one O(24) atom. The Ce(12)-O(1) bond length is 2.40 Å. The Ce(12)-O(16) bond length is 2.33 Å. The Ce(12)-O(18) bond length is 2.43 Å. The Ce(12)-O(19) bond length is 2.38 Å. The Ce(12)-O(20) bond length is 2.34 Å. The Ce(12)-O(22) bond length is 2.50 Å. The Ce(12)-O(23) bond length is 2.62 Å. The Ce(12)-O(24) bond length is 2.44 Å. In the thirteenth Ce site, Ce(13) is bonded to one O(18), one O(2), one O(20), one O(21), one O(23), one O(24), and one O(5) atom to form a mixture of distorted corner and edge-sharing CeO7 pentagonal bipyramids. The Ce(13)-O(18) bond length is 2.35 Å. The Ce(13)-O(2) bond length is 2.34 Å. The Ce(13)-O(20) bond length is 2.29 Å. The Ce(13)-O(21) bond length is 2.37 Å. The Ce(13)-O(23) bond length is 2.35 Å. The Ce(13)-O(24) bond length is 2.28 Å. The Ce(13)-O(5) bond length is 2.43 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Ce(1), one Ce(12), one Ce(2), and one Ce(3) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the second O site, O(2) is bonded to one Ce(13), one Ce(2), one Ce(3), and one Ce(4) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the third O site, O(3) is bonded to one Ce(1), one Ce(3), one Ce(4), and one Ce(5) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fourth O site, O(4) is bonded to one Ce(2), one Ce(4), one Ce(5), and one Ce(6) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fifth O site, O(5) is bonded to one Ce(1), one Ce(13), one Ce(2), and one Ce(4) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the sixth O site, O(6) is bonded to one Ce(3), one Ce(5), one Ce(6), and one Ce(7) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the seventh O site, O(7) is bonded to one Ce(1), one Ce(2), one Ce(3), and one Ce(5) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the eighth O site, O(8) is bonded to one Ce(2), one Ce(3), one Ce(4), and one Ce(6) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the ninth O site, O(9) is bonded to one Ce(5), one Ce(7), one Ce(8), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the tenth O site, O(10) is bonded to one Ce(3), one Ce(4), one Ce(5), and one Ce(7) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the eleventh O site, O(11) is bonded to one Ce(4), one Ce(5), one Ce(6), and one Ce(8) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twelfth O site, O(12) is bonded to one Ce(10), one Ce(6), one Ce(8), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Ce(5), one Ce(6), one Ce(7), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fourteenth O site, O(14) is bonded to one Ce(10), one Ce(11), one Ce(7), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Ce(10), one Ce(6), one Ce(7), and one Ce(8) atom to form a mixture of distorted corner and edge-sharing OCe4 tetrahedra. In the sixteenth O site, O(16) is bonded to one Ce(10), one Ce(11), one Ce(12), and one Ce(8) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the seventeenth O site, O(17) is bonded to one Ce(11), one Ce(7), one Ce(8), and one Ce(9) atom to form a mixture of distorted corner and edge-sharing OCe4 tetrahedra. In the eighteenth O site, O(18) is bonded to one Ce(11), one Ce(12), one Ce(13), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the nineteenth O site, O(19) is bonded to one Ce(10), one Ce(12), one Ce(8), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twentieth O site, O(20) is bonded to one Ce(1), one Ce(10), one Ce(12), and one Ce(13) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-first O site, O(21) is bonded to one Ce(10), one Ce(11), one Ce(13), and one Ce(9) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-second O site, O(22) is bonded to one Ce(1), one Ce(10), one Ce(11), and one Ce(12) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-third O site, O(23) is bonded to one Ce(11), one Ce(12), one Ce(13), and one Ce(2) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra. In the twenty-fourth O site, O(24) is bonded to one Ce(1), one Ce(12), one Ce(13), and one Ce(3) atom to form a mixture of corner and edge-sharing OCe4 tetrahedra.