TbCeO4 is Fluorite-derived structured and crystallizes in the cubic P2_13 space group. There are two inequivalent Tb sites. In the first Tb site, Tb(1) is bonded in a body-centered cubic geometry to one O(1), one O(2), one O(5), one O(7), two equivalent O(3), and two equivalent O(6) atoms. In the second Tb site, Tb(2) is bonded in a body-centered cubic geometry to one O(5), one O(7), three equivalent O(1), and three equivalent O(2) atoms. There are two inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a body-centered cubic geometry to one O(1), one O(2), one O(4), one O(8), two equivalent O(3), and two equivalent O(6) 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(1), and three equivalent O(2) atoms. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Tb(1), one Tb(2), one Ce(1), and one Ce(2) atom to form OTb2Ce2 tetrahedra that share corners with two equivalent O(4)Ce4 tetrahedra, corners with two equivalent O(2)Tb2Ce2 tetrahedra, corners with two equivalent O(3)Tb2Ce2 tetrahedra, corners with two equivalent O(5)Tb4 tetrahedra, corners with four equivalent O(1)Tb2Ce2 tetrahedra, corners with four equivalent O(6)Tb2Ce2 tetrahedra,  an edgeedge with one O(8)Ce4 tetrahedra,  an edgeedge with one O(3)Tb2Ce2 tetrahedra,  an edgeedge with one O(7)Tb4 tetrahedra, and edges with three equivalent O(2)Tb2Ce2 tetrahedra. In the second O site, O(2) is bonded to one Tb(1), one Tb(2), one Ce(1), and one Ce(2) atom to form OTb2Ce2 tetrahedra that share corners with two equivalent O(8)Ce4 tetrahedra, corners with two equivalent O(1)Tb2Ce2 tetrahedra, corners with two equivalent O(6)Tb2Ce2 tetrahedra, corners with two equivalent O(7)Tb4 tetrahedra, corners with four equivalent O(2)Tb2Ce2 tetrahedra, corners with four equivalent O(3)Tb2Ce2 tetrahedra,  an edgeedge with one O(4)Ce4 tetrahedra,  an edgeedge with one O(6)Tb2Ce2 tetrahedra,  an edgeedge with one O(5)Tb4 tetrahedra, and edges with three equivalent O(1)Tb2Ce2 tetrahedra. In the third O site, O(3) is bonded to two equivalent Tb(1) and two equivalent Ce(1) atoms to form OTb2Ce2 tetrahedra that share corners with two equivalent O(8)Ce4 tetrahedra, corners with two equivalent O(1)Tb2Ce2 tetrahedra, corners with two equivalent O(6)Tb2Ce2 tetrahedra, corners with two equivalent O(7)Tb4 tetrahedra, corners with four equivalent O(2)Tb2Ce2 tetrahedra, corners with four equivalent O(3)Tb2Ce2 tetrahedra,  an edgeedge with one O(4)Ce4 tetrahedra,  an edgeedge with one O(1)Tb2Ce2 tetrahedra,  an edgeedge with one O(5)Tb4 tetrahedra, and edges with three equivalent O(6)Tb2Ce2 tetrahedra. In the fourth O site, O(4) is bonded to one Ce(2) and three equivalent Ce(1) atoms to form OCe4 tetrahedra that share corners with four equivalent O(8)Ce4 tetrahedra, corners with six equivalent O(1)Tb2Ce2 tetrahedra, corners with six equivalent O(6)Tb2Ce2 tetrahedra, edges with three equivalent O(2)Tb2Ce2 tetrahedra, and edges with three equivalent O(3)Tb2Ce2 tetrahedra. In the fifth O site, O(5) is bonded to one Tb(2) and three equivalent Tb(1) atoms to form OTb4 tetrahedra that share corners with four equivalent O(7)Tb4 tetrahedra, corners with six equivalent O(1)Tb2Ce2 tetrahedra, corners with six equivalent O(6)Tb2Ce2 tetrahedra, edges with three equivalent O(2)Tb2Ce2 tetrahedra, and edges with three equivalent O(3)Tb2Ce2 tetrahedra. In the sixth O site, O(6) is bonded to two equivalent Tb(1) and two equivalent Ce(1) atoms to form OTb2Ce2 tetrahedra that share corners with two equivalent O(4)Ce4 tetrahedra, corners with two equivalent O(2)Tb2Ce2 tetrahedra, corners with two equivalent O(3)Tb2Ce2 tetrahedra, corners with two equivalent O(5)Tb4 tetrahedra, corners with four equivalent O(1)Tb2Ce2 tetrahedra, corners with four equivalent O(6)Tb2Ce2 tetrahedra,  an edgeedge with one O(8)Ce4 tetrahedra,  an edgeedge with one O(2)Tb2Ce2 tetrahedra,  an edgeedge with one O(7)Tb4 tetrahedra, and edges with three equivalent O(3)Tb2Ce2 tetrahedra. In the seventh O site, O(7) is bonded to one Tb(2) and three equivalent Tb(1) atoms to form OTb4 tetrahedra that share corners with four equivalent O(5)Tb4 tetrahedra, corners with six equivalent O(2)Tb2Ce2 tetrahedra, corners with six equivalent O(3)Tb2Ce2 tetrahedra, edges with three equivalent O(1)Tb2Ce2 tetrahedra, and edges with three equivalent O(6)Tb2Ce2 tetrahedra. In the eighth O site, O(8) is bonded to one Ce(2) and three equivalent Ce(1) atoms to form OCe4 tetrahedra that share corners with four equivalent O(4)Ce4 tetrahedra, corners with six equivalent O(2)Tb2Ce2 tetrahedra, corners with six equivalent O(3)Tb2Ce2 tetrahedra, edges with three equivalent O(1)Tb2Ce2 tetrahedra, and edges with three equivalent O(6)Tb2Ce2 tetrahedra.
TbCeO4 is Fluorite-derived structured and crystallizes in the cubic P2_13 space group. There are two inequivalent Tb sites. In the first Tb site, Tb(1) is bonded in a body-centered cubic geometry to one O(1), one O(2), one O(5), one O(7), two equivalent O(3), and two equivalent O(6) atoms. The Tb(1)-O(1) bond length is 2.40 Å. The Tb(1)-O(2) bond length is 2.42 Å. The Tb(1)-O(5) bond length is 2.39 Å. The Tb(1)-O(7) bond length is 2.35 Å. Both Tb(1)-O(3) bond lengths are 2.39 Å. There is one shorter (2.38 Å) and one longer (2.39 Å) Tb(1)-O(6) bond length. In the second Tb site, Tb(2) is bonded in a body-centered cubic geometry to one O(5), one O(7), three equivalent O(1), and three equivalent O(2) atoms. The Tb(2)-O(5) bond length is 2.41 Å. The Tb(2)-O(7) bond length is 2.36 Å. All Tb(2)-O(1) bond lengths are 2.39 Å. All Tb(2)-O(2) bond lengths are 2.39 Å. There are two inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a body-centered cubic geometry to one O(1), one O(2), one O(4), one O(8), two equivalent O(3), and two equivalent O(6) atoms. The Ce(1)-O(1) bond length is 2.35 Å. The Ce(1)-O(2) bond length is 2.35 Å. The Ce(1)-O(4) bond length is 2.38 Å. The Ce(1)-O(8) bond length is 2.37 Å. There is one shorter (2.33 Å) and one longer (2.37 Å) Ce(1)-O(3) bond length. There is one shorter (2.32 Å) and one longer (2.36 Å) Ce(1)-O(6) bond length. 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(1), and three equivalent O(2) atoms. The Ce(2)-O(4) bond length is 2.35 Å. The Ce(2)-O(8) bond length is 2.35 Å. All Ce(2)-O(1) bond lengths are 2.35 Å. All Ce(2)-O(2) bond lengths are 2.36 Å. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Tb(1), one Tb(2), one Ce(1), and one Ce(2) atom to form OTb2Ce2 tetrahedra that share corners with two equivalent O(4)Ce4 tetrahedra, corners with two equivalent O(2)Tb2Ce2 tetrahedra, corners with two equivalent O(3)Tb2Ce2 tetrahedra, corners with two equivalent O(5)Tb4 tetrahedra, corners with four equivalent O(1)Tb2Ce2 tetrahedra, corners with four equivalent O(6)Tb2Ce2 tetrahedra,  an edgeedge with one O(8)Ce4 tetrahedra,  an edgeedge with one O(3)Tb2Ce2 tetrahedra,  an edgeedge with one O(7)Tb4 tetrahedra, and edges with three equivalent O(2)Tb2Ce2 tetrahedra. In the second O site, O(2) is bonded to one Tb(1), one Tb(2), one Ce(1), and one Ce(2) atom to form OTb2Ce2 tetrahedra that share corners with two equivalent O(8)Ce4 tetrahedra, corners with two equivalent O(1)Tb2Ce2 tetrahedra, corners with two equivalent O(6)Tb2Ce2 tetrahedra, corners with two equivalent O(7)Tb4 tetrahedra, corners with four equivalent O(2)Tb2Ce2 tetrahedra, corners with four equivalent O(3)Tb2Ce2 tetrahedra,  an edgeedge with one O(4)Ce4 tetrahedra,  an edgeedge with one O(6)Tb2Ce2 tetrahedra,  an edgeedge with one O(5)Tb4 tetrahedra, and edges with three equivalent O(1)Tb2Ce2 tetrahedra. In the third O site, O(3) is bonded to two equivalent Tb(1) and two equivalent Ce(1) atoms to form OTb2Ce2 tetrahedra that share corners with two equivalent O(8)Ce4 tetrahedra, corners with two equivalent O(1)Tb2Ce2 tetrahedra, corners with two equivalent O(6)Tb2Ce2 tetrahedra, corners with two equivalent O(7)Tb4 tetrahedra, corners with four equivalent O(2)Tb2Ce2 tetrahedra, corners with four equivalent O(3)Tb2Ce2 tetrahedra,  an edgeedge with one O(4)Ce4 tetrahedra,  an edgeedge with one O(1)Tb2Ce2 tetrahedra,  an edgeedge with one O(5)Tb4 tetrahedra, and edges with three equivalent O(6)Tb2Ce2 tetrahedra. In the fourth O site, O(4) is bonded to one Ce(2) and three equivalent Ce(1) atoms to form OCe4 tetrahedra that share corners with four equivalent O(8)Ce4 tetrahedra, corners with six equivalent O(1)Tb2Ce2 tetrahedra, corners with six equivalent O(6)Tb2Ce2 tetrahedra, edges with three equivalent O(2)Tb2Ce2 tetrahedra, and edges with three equivalent O(3)Tb2Ce2 tetrahedra. In the fifth O site, O(5) is bonded to one Tb(2) and three equivalent Tb(1) atoms to form OTb4 tetrahedra that share corners with four equivalent O(7)Tb4 tetrahedra, corners with six equivalent O(1)Tb2Ce2 tetrahedra, corners with six equivalent O(6)Tb2Ce2 tetrahedra, edges with three equivalent O(2)Tb2Ce2 tetrahedra, and edges with three equivalent O(3)Tb2Ce2 tetrahedra. In the sixth O site, O(6) is bonded to two equivalent Tb(1) and two equivalent Ce(1) atoms to form OTb2Ce2 tetrahedra that share corners with two equivalent O(4)Ce4 tetrahedra, corners with two equivalent O(2)Tb2Ce2 tetrahedra, corners with two equivalent O(3)Tb2Ce2 tetrahedra, corners with two equivalent O(5)Tb4 tetrahedra, corners with four equivalent O(1)Tb2Ce2 tetrahedra, corners with four equivalent O(6)Tb2Ce2 tetrahedra,  an edgeedge with one O(8)Ce4 tetrahedra,  an edgeedge with one O(2)Tb2Ce2 tetrahedra,  an edgeedge with one O(7)Tb4 tetrahedra, and edges with three equivalent O(3)Tb2Ce2 tetrahedra. In the seventh O site, O(7) is bonded to one Tb(2) and three equivalent Tb(1) atoms to form OTb4 tetrahedra that share corners with four equivalent O(5)Tb4 tetrahedra, corners with six equivalent O(2)Tb2Ce2 tetrahedra, corners with six equivalent O(3)Tb2Ce2 tetrahedra, edges with three equivalent O(1)Tb2Ce2 tetrahedra, and edges with three equivalent O(6)Tb2Ce2 tetrahedra. In the eighth O site, O(8) is bonded to one Ce(2) and three equivalent Ce(1) atoms to form OCe4 tetrahedra that share corners with four equivalent O(4)Ce4 tetrahedra, corners with six equivalent O(2)Tb2Ce2 tetrahedra, corners with six equivalent O(3)Tb2Ce2 tetrahedra, edges with three equivalent O(1)Tb2Ce2 tetrahedra, and edges with three equivalent O(6)Tb2Ce2 tetrahedra.