ThCe4O10 is Fluorite-derived structured and crystallizes in the monoclinic C2/m space group. Th(1) is bonded in a body-centered cubic geometry to one O(1), one O(4), one O(5), one O(7), two equivalent O(2), and two equivalent O(8) atoms. There are five inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a body-centered cubic geometry to two equivalent O(2), two equivalent O(3), and four equivalent O(1) atoms. In the second Ce site, Ce(2) is bonded in a body-centered cubic geometry to one O(5), one O(7), one O(9), two equivalent O(10), and three equivalent O(6) atoms. In the third Ce site, Ce(3) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(4), and four equivalent O(3) atoms. In the fourth Ce site, Ce(4) is bonded in a body-centered cubic geometry to one O(10), one O(2), one O(3), one O(8), two equivalent O(4), and two equivalent O(5) atoms. In the fifth Ce site, Ce(5) is bonded in a body-centered cubic geometry to one O(10), one O(6), one O(8), two equivalent O(7), and three equivalent O(9) atoms. There are ten inequivalent O sites. In the first O site, O(9) is bonded to one Ce(2) and three equivalent Ce(5) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(5)Ce3Th tetrahedra,  a cornercorner with one O(10)Ce4 tetrahedra, corners with two equivalent O(9)Ce4 tetrahedra, corners with three equivalent O(8)Ce2Th2 tetrahedra, corners with four equivalent O(6)Ce4 tetrahedra, corners with five equivalent O(7)Ce3Th tetrahedra,  an edgeedge with one O(7)Ce3Th tetrahedra,  an edgeedge with one O(6)Ce4 tetrahedra, edges with two equivalent O(10)Ce4 tetrahedra, and edges with two equivalent O(9)Ce4 tetrahedra. In the second O site, O(10) is bonded to one Ce(4), one Ce(5), and two equivalent Ce(2) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(2)Ce2Th2 tetrahedra,  a cornercorner with one O(3)Ce4 tetrahedra,  a cornercorner with one O(9)Ce4 tetrahedra, corners with two equivalent O(4)Ce3Th tetrahedra, corners with two equivalent O(10)Ce4 tetrahedra, corners with four equivalent O(7)Ce3Th tetrahedra, corners with five equivalent O(6)Ce4 tetrahedra,  an edgeedge with one O(8)Ce2Th2 tetrahedra,  an edgeedge with one O(6)Ce4 tetrahedra, edges with two equivalent O(5)Ce3Th tetrahedra, and edges with two equivalent O(9)Ce4 tetrahedra. In the third O site, O(1) is bonded to one Th(1), one Ce(3), and two equivalent Ce(1) atoms to form OCe3Th tetrahedra that share  a cornercorner with one O(4)Ce3Th tetrahedra,  a cornercorner with one O(5)Ce3Th tetrahedra,  a cornercorner with one O(7)Ce3Th tetrahedra, corners with two equivalent O(2)Ce2Th2 tetrahedra, corners with two equivalent O(8)Ce2Th2 tetrahedra, corners with four equivalent O(3)Ce4 tetrahedra, corners with five equivalent O(1)Ce3Th tetrahedra,  an edgeedge with one O(1)Ce3Th tetrahedra,  an edgeedge with one O(4)Ce3Th tetrahedra, edges with two equivalent O(2)Ce2Th2 tetrahedra, and edges with two equivalent O(3)Ce4 tetrahedra. In the fourth O site, O(2) is bonded to two equivalent Th(1), one Ce(1), and one Ce(4) atom to form OCe2Th2 tetrahedra that share  a cornercorner with one O(10)Ce4 tetrahedra,  a cornercorner with one O(3)Ce4 tetrahedra, corners with two equivalent O(1)Ce3Th tetrahedra, corners with two equivalent O(7)Ce3Th tetrahedra, corners with three equivalent O(2)Ce2Th2 tetrahedra, corners with three equivalent O(8)Ce2Th2 tetrahedra, corners with four equivalent O(4)Ce3Th tetrahedra,  an edgeedge with one O(8)Ce2Th2 tetrahedra,  an edgeedge with one O(3)Ce4 tetrahedra, edges with two equivalent O(1)Ce3Th tetrahedra, and edges with two equivalent O(5)Ce3Th tetrahedra. In the fifth O site, O(3) is bonded to one Ce(1), one Ce(4), and two equivalent Ce(3) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(2)Ce2Th2 tetrahedra,  a cornercorner with one O(8)Ce2Th2 tetrahedra,  a cornercorner with one O(10)Ce4 tetrahedra, corners with two equivalent O(4)Ce3Th tetrahedra, corners with two equivalent O(5)Ce3Th tetrahedra, corners with four equivalent O(1)Ce3Th tetrahedra, corners with five equivalent O(3)Ce4 tetrahedra,  an edgeedge with one O(2)Ce2Th2 tetrahedra,  an edgeedge with one O(3)Ce4 tetrahedra, edges with two equivalent O(1)Ce3Th tetrahedra, and edges with two equivalent O(4)Ce3Th tetrahedra. In the sixth O site, O(4) is bonded to one Th(1), one Ce(3), and two equivalent Ce(4) atoms to form OCe3Th tetrahedra that share  a cornercorner with one O(1)Ce3Th tetrahedra,  a cornercorner with one O(7)Ce3Th tetrahedra, corners with two equivalent O(10)Ce4 tetrahedra, corners with two equivalent O(3)Ce4 tetrahedra, corners with three equivalent O(4)Ce3Th tetrahedra, corners with three equivalent O(5)Ce3Th tetrahedra, corners with four equivalent O(2)Ce2Th2 tetrahedra,  an edgeedge with one O(1)Ce3Th tetrahedra,  an edgeedge with one O(5)Ce3Th tetrahedra, edges with two equivalent O(8)Ce2Th2 tetrahedra, and edges with two equivalent O(3)Ce4 tetrahedra. In the seventh O site, O(5) is bonded to one Th(1), one Ce(2), and two equivalent Ce(4) atoms to form OCe3Th tetrahedra that share  a cornercorner with one O(1)Ce3Th tetrahedra,  a cornercorner with one O(9)Ce4 tetrahedra, corners with two equivalent O(5)Ce3Th tetrahedra, corners with two equivalent O(3)Ce4 tetrahedra, corners with three equivalent O(4)Ce3Th tetrahedra, corners with three equivalent O(6)Ce4 tetrahedra, corners with four equivalent O(8)Ce2Th2 tetrahedra,  an edgeedge with one O(4)Ce3Th tetrahedra,  an edgeedge with one O(7)Ce3Th tetrahedra, edges with two equivalent O(2)Ce2Th2 tetrahedra, and edges with two equivalent O(10)Ce4 tetrahedra. In the eighth O site, O(6) is bonded to one Ce(5) and three equivalent Ce(2) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(8)Ce2Th2 tetrahedra,  a cornercorner with one O(7)Ce3Th tetrahedra, corners with two equivalent O(6)Ce4 tetrahedra, corners with three equivalent O(5)Ce3Th tetrahedra, corners with four equivalent O(9)Ce4 tetrahedra, corners with five equivalent O(10)Ce4 tetrahedra,  an edgeedge with one O(10)Ce4 tetrahedra,  an edgeedge with one O(9)Ce4 tetrahedra, edges with two equivalent O(7)Ce3Th tetrahedra, and edges with two equivalent O(6)Ce4 tetrahedra. In the ninth O site, O(7) is bonded to one Th(1), one Ce(2), and two equivalent Ce(5) atoms to form OCe3Th tetrahedra that share  a cornercorner with one O(1)Ce3Th tetrahedra,  a cornercorner with one O(4)Ce3Th tetrahedra,  a cornercorner with one O(6)Ce4 tetrahedra, corners with two equivalent O(2)Ce2Th2 tetrahedra, corners with two equivalent O(7)Ce3Th tetrahedra, corners with four equivalent O(10)Ce4 tetrahedra, corners with five equivalent O(9)Ce4 tetrahedra,  an edgeedge with one O(5)Ce3Th tetrahedra,  an edgeedge with one O(9)Ce4 tetrahedra, edges with two equivalent O(8)Ce2Th2 tetrahedra, and edges with two equivalent O(6)Ce4 tetrahedra. In the tenth O site, O(8) is bonded to two equivalent Th(1), one Ce(4), and one Ce(5) atom to form OCe2Th2 tetrahedra that share  a cornercorner with one O(3)Ce4 tetrahedra,  a cornercorner with one O(6)Ce4 tetrahedra, corners with two equivalent O(8)Ce2Th2 tetrahedra, corners with two equivalent O(1)Ce3Th tetrahedra, corners with three equivalent O(2)Ce2Th2 tetrahedra, corners with three equivalent O(9)Ce4 tetrahedra, corners with four equivalent O(5)Ce3Th tetrahedra,  an edgeedge with one O(2)Ce2Th2 tetrahedra,  an edgeedge with one O(10)Ce4 tetrahedra, edges with two equivalent O(4)Ce3Th tetrahedra, and edges with two equivalent O(7)Ce3Th tetrahedra.
ThCe4O10 is Fluorite-derived structured and crystallizes in the monoclinic C2/m space group. Th(1) is bonded in a body-centered cubic geometry to one O(1), one O(4), one O(5), one O(7), two equivalent O(2), and two equivalent O(8) atoms. The Th(1)-O(1) bond length is 2.40 Å. The Th(1)-O(4) bond length is 2.40 Å. The Th(1)-O(5) bond length is 2.40 Å. The Th(1)-O(7) bond length is 2.40 Å. Both Th(1)-O(2) bond lengths are 2.39 Å. Both Th(1)-O(8) bond lengths are 2.39 Å. There are five inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a body-centered cubic geometry to two equivalent O(2), two equivalent O(3), and four equivalent O(1) atoms. Both Ce(1)-O(2) bond lengths are 2.36 Å. Both Ce(1)-O(3) bond lengths are 2.37 Å. All Ce(1)-O(1) bond lengths are 2.36 Å. In the second Ce site, Ce(2) is bonded in a body-centered cubic geometry to one O(5), one O(7), one O(9), two equivalent O(10), and three equivalent O(6) atoms. The Ce(2)-O(5) bond length is 2.36 Å. The Ce(2)-O(7) bond length is 2.36 Å. The Ce(2)-O(9) bond length is 2.36 Å. Both Ce(2)-O(10) bond lengths are 2.36 Å. There is one shorter (2.34 Å) and two longer (2.37 Å) Ce(2)-O(6) bond lengths. In the third Ce site, Ce(3) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(4), and four equivalent O(3) atoms. Both Ce(3)-O(1) bond lengths are 2.36 Å. Both Ce(3)-O(4) bond lengths are 2.36 Å. All Ce(3)-O(3) bond lengths are 2.37 Å. In the fourth Ce site, Ce(4) is bonded in a body-centered cubic geometry to one O(10), one O(2), one O(3), one O(8), two equivalent O(4), and two equivalent O(5) atoms. The Ce(4)-O(10) bond length is 2.39 Å. The Ce(4)-O(2) bond length is 2.35 Å. The Ce(4)-O(3) bond length is 2.37 Å. The Ce(4)-O(8) bond length is 2.35 Å. Both Ce(4)-O(4) bond lengths are 2.36 Å. Both Ce(4)-O(5) bond lengths are 2.36 Å. In the fifth Ce site, Ce(5) is bonded in a body-centered cubic geometry to one O(10), one O(6), one O(8), two equivalent O(7), and three equivalent O(9) atoms. The Ce(5)-O(10) bond length is 2.37 Å. The Ce(5)-O(6) bond length is 2.37 Å. The Ce(5)-O(8) bond length is 2.37 Å. Both Ce(5)-O(7) bond lengths are 2.37 Å. There is one shorter (2.33 Å) and two longer (2.36 Å) Ce(5)-O(9) bond lengths. There are ten inequivalent O sites. In the first O site, O(9) is bonded to one Ce(2) and three equivalent Ce(5) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(5)Ce3Th tetrahedra,  a cornercorner with one O(10)Ce4 tetrahedra, corners with two equivalent O(9)Ce4 tetrahedra, corners with three equivalent O(8)Ce2Th2 tetrahedra, corners with four equivalent O(6)Ce4 tetrahedra, corners with five equivalent O(7)Ce3Th tetrahedra,  an edgeedge with one O(7)Ce3Th tetrahedra,  an edgeedge with one O(6)Ce4 tetrahedra, edges with two equivalent O(10)Ce4 tetrahedra, and edges with two equivalent O(9)Ce4 tetrahedra. In the second O site, O(10) is bonded to one Ce(4), one Ce(5), and two equivalent Ce(2) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(2)Ce2Th2 tetrahedra,  a cornercorner with one O(3)Ce4 tetrahedra,  a cornercorner with one O(9)Ce4 tetrahedra, corners with two equivalent O(4)Ce3Th tetrahedra, corners with two equivalent O(10)Ce4 tetrahedra, corners with four equivalent O(7)Ce3Th tetrahedra, corners with five equivalent O(6)Ce4 tetrahedra,  an edgeedge with one O(8)Ce2Th2 tetrahedra,  an edgeedge with one O(6)Ce4 tetrahedra, edges with two equivalent O(5)Ce3Th tetrahedra, and edges with two equivalent O(9)Ce4 tetrahedra. In the third O site, O(1) is bonded to one Th(1), one Ce(3), and two equivalent Ce(1) atoms to form OCe3Th tetrahedra that share  a cornercorner with one O(4)Ce3Th tetrahedra,  a cornercorner with one O(5)Ce3Th tetrahedra,  a cornercorner with one O(7)Ce3Th tetrahedra, corners with two equivalent O(2)Ce2Th2 tetrahedra, corners with two equivalent O(8)Ce2Th2 tetrahedra, corners with four equivalent O(3)Ce4 tetrahedra, corners with five equivalent O(1)Ce3Th tetrahedra,  an edgeedge with one O(1)Ce3Th tetrahedra,  an edgeedge with one O(4)Ce3Th tetrahedra, edges with two equivalent O(2)Ce2Th2 tetrahedra, and edges with two equivalent O(3)Ce4 tetrahedra. In the fourth O site, O(2) is bonded to two equivalent Th(1), one Ce(1), and one Ce(4) atom to form OCe2Th2 tetrahedra that share  a cornercorner with one O(10)Ce4 tetrahedra,  a cornercorner with one O(3)Ce4 tetrahedra, corners with two equivalent O(1)Ce3Th tetrahedra, corners with two equivalent O(7)Ce3Th tetrahedra, corners with three equivalent O(2)Ce2Th2 tetrahedra, corners with three equivalent O(8)Ce2Th2 tetrahedra, corners with four equivalent O(4)Ce3Th tetrahedra,  an edgeedge with one O(8)Ce2Th2 tetrahedra,  an edgeedge with one O(3)Ce4 tetrahedra, edges with two equivalent O(1)Ce3Th tetrahedra, and edges with two equivalent O(5)Ce3Th tetrahedra. In the fifth O site, O(3) is bonded to one Ce(1), one Ce(4), and two equivalent Ce(3) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(2)Ce2Th2 tetrahedra,  a cornercorner with one O(8)Ce2Th2 tetrahedra,  a cornercorner with one O(10)Ce4 tetrahedra, corners with two equivalent O(4)Ce3Th tetrahedra, corners with two equivalent O(5)Ce3Th tetrahedra, corners with four equivalent O(1)Ce3Th tetrahedra, corners with five equivalent O(3)Ce4 tetrahedra,  an edgeedge with one O(2)Ce2Th2 tetrahedra,  an edgeedge with one O(3)Ce4 tetrahedra, edges with two equivalent O(1)Ce3Th tetrahedra, and edges with two equivalent O(4)Ce3Th tetrahedra. In the sixth O site, O(4) is bonded to one Th(1), one Ce(3), and two equivalent Ce(4) atoms to form OCe3Th tetrahedra that share  a cornercorner with one O(1)Ce3Th tetrahedra,  a cornercorner with one O(7)Ce3Th tetrahedra, corners with two equivalent O(10)Ce4 tetrahedra, corners with two equivalent O(3)Ce4 tetrahedra, corners with three equivalent O(4)Ce3Th tetrahedra, corners with three equivalent O(5)Ce3Th tetrahedra, corners with four equivalent O(2)Ce2Th2 tetrahedra,  an edgeedge with one O(1)Ce3Th tetrahedra,  an edgeedge with one O(5)Ce3Th tetrahedra, edges with two equivalent O(8)Ce2Th2 tetrahedra, and edges with two equivalent O(3)Ce4 tetrahedra. In the seventh O site, O(5) is bonded to one Th(1), one Ce(2), and two equivalent Ce(4) atoms to form OCe3Th tetrahedra that share  a cornercorner with one O(1)Ce3Th tetrahedra,  a cornercorner with one O(9)Ce4 tetrahedra, corners with two equivalent O(5)Ce3Th tetrahedra, corners with two equivalent O(3)Ce4 tetrahedra, corners with three equivalent O(4)Ce3Th tetrahedra, corners with three equivalent O(6)Ce4 tetrahedra, corners with four equivalent O(8)Ce2Th2 tetrahedra,  an edgeedge with one O(4)Ce3Th tetrahedra,  an edgeedge with one O(7)Ce3Th tetrahedra, edges with two equivalent O(2)Ce2Th2 tetrahedra, and edges with two equivalent O(10)Ce4 tetrahedra. In the eighth O site, O(6) is bonded to one Ce(5) and three equivalent Ce(2) atoms to form OCe4 tetrahedra that share  a cornercorner with one O(8)Ce2Th2 tetrahedra,  a cornercorner with one O(7)Ce3Th tetrahedra, corners with two equivalent O(6)Ce4 tetrahedra, corners with three equivalent O(5)Ce3Th tetrahedra, corners with four equivalent O(9)Ce4 tetrahedra, corners with five equivalent O(10)Ce4 tetrahedra,  an edgeedge with one O(10)Ce4 tetrahedra,  an edgeedge with one O(9)Ce4 tetrahedra, edges with two equivalent O(7)Ce3Th tetrahedra, and edges with two equivalent O(6)Ce4 tetrahedra. In the ninth O site, O(7) is bonded to one Th(1), one Ce(2), and two equivalent Ce(5) atoms to form OCe3Th tetrahedra that share  a cornercorner with one O(1)Ce3Th tetrahedra,  a cornercorner with one O(4)Ce3Th tetrahedra,  a cornercorner with one O(6)Ce4 tetrahedra, corners with two equivalent O(2)Ce2Th2 tetrahedra, corners with two equivalent O(7)Ce3Th tetrahedra, corners with four equivalent O(10)Ce4 tetrahedra, corners with five equivalent O(9)Ce4 tetrahedra,  an edgeedge with one O(5)Ce3Th tetrahedra,  an edgeedge with one O(9)Ce4 tetrahedra, edges with two equivalent O(8)Ce2Th2 tetrahedra, and edges with two equivalent O(6)Ce4 tetrahedra. In the tenth O site, O(8) is bonded to two equivalent Th(1), one Ce(4), and one Ce(5) atom to form OCe2Th2 tetrahedra that share  a cornercorner with one O(3)Ce4 tetrahedra,  a cornercorner with one O(6)Ce4 tetrahedra, corners with two equivalent O(8)Ce2Th2 tetrahedra, corners with two equivalent O(1)Ce3Th tetrahedra, corners with three equivalent O(2)Ce2Th2 tetrahedra, corners with three equivalent O(9)Ce4 tetrahedra, corners with four equivalent O(5)Ce3Th tetrahedra,  an edgeedge with one O(2)Ce2Th2 tetrahedra,  an edgeedge with one O(10)Ce4 tetrahedra, edges with two equivalent O(4)Ce3Th tetrahedra, and edges with two equivalent O(7)Ce3Th tetrahedra.