TbCeO4 is Fluorite-derived structured and crystallizes in the tetragonal I4_1/amd space group. Tb(1) is bonded in a body-centered cubic geometry to two equivalent O(2), two equivalent O(4), and four equivalent O(1) atoms. 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. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Tb(1) and two equivalent Ce(1) atoms to form OTb2Ce2 tetrahedra that share corners with two equivalent O(3)Ce4 tetrahedra, corners with two equivalent O(4)Tb4 tetrahedra, corners with four equivalent O(2)Tb2Ce2 tetrahedra, corners with eight equivalent O(1)Tb2Ce2 tetrahedra,  an edgeedge with one O(3)Ce4 tetrahedra,  an edgeedge with one O(4)Tb4 tetrahedra, edges with two equivalent O(1)Tb2Ce2 tetrahedra, and edges with two equivalent O(2)Tb2Ce2 tetrahedra. In the second O site, O(2) is bonded to two equivalent Tb(1) and two equivalent Ce(1) atoms to form OTb2Ce2 tetrahedra that share corners with two equivalent O(3)Ce4 tetrahedra, corners with two equivalent O(4)Tb4 tetrahedra, corners with four equivalent O(2)Tb2Ce2 tetrahedra, corners with eight equivalent O(1)Tb2Ce2 tetrahedra,  an edgeedge with one O(3)Ce4 tetrahedra,  an edgeedge with one O(4)Tb4 tetrahedra, and edges with four equivalent O(1)Tb2Ce2 tetrahedra. In the third O site, O(3) is bonded to four equivalent Ce(1) atoms to form OCe4 tetrahedra that share corners with four equivalent O(3)Ce4 tetrahedra, corners with four equivalent O(2)Tb2Ce2 tetrahedra, corners with eight equivalent O(1)Tb2Ce2 tetrahedra, edges with two equivalent O(2)Tb2Ce2 tetrahedra, and edges with four equivalent O(1)Tb2Ce2 tetrahedra. In the fourth O site, O(4) is bonded to four equivalent Tb(1) atoms to form OTb4 tetrahedra that share corners with four equivalent O(2)Tb2Ce2 tetrahedra, corners with four equivalent O(4)Tb4 tetrahedra, corners with eight equivalent O(1)Tb2Ce2 tetrahedra, edges with two equivalent O(2)Tb2Ce2 tetrahedra, and edges with four equivalent O(1)Tb2Ce2 tetrahedra.
TbCeO4 is Fluorite-derived structured and crystallizes in the tetragonal I4_1/amd space group. Tb(1) is bonded in a body-centered cubic geometry to two equivalent O(2), two equivalent O(4), and four equivalent O(1) atoms. Both Tb(1)-O(2) bond lengths are 2.35 Å. Both Tb(1)-O(4) bond lengths are 2.37 Å. All Tb(1)-O(1) bond lengths are 2.40 Å. 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 2.39 Å. Both Ce(1)-O(3) bond lengths are 2.37 Å. All Ce(1)-O(1) bond lengths are 2.35 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Tb(1) and two equivalent Ce(1) atoms to form OTb2Ce2 tetrahedra that share corners with two equivalent O(3)Ce4 tetrahedra, corners with two equivalent O(4)Tb4 tetrahedra, corners with four equivalent O(2)Tb2Ce2 tetrahedra, corners with eight equivalent O(1)Tb2Ce2 tetrahedra,  an edgeedge with one O(3)Ce4 tetrahedra,  an edgeedge with one O(4)Tb4 tetrahedra, edges with two equivalent O(1)Tb2Ce2 tetrahedra, and edges with two equivalent O(2)Tb2Ce2 tetrahedra. In the second O site, O(2) is bonded to two equivalent Tb(1) and two equivalent Ce(1) atoms to form OTb2Ce2 tetrahedra that share corners with two equivalent O(3)Ce4 tetrahedra, corners with two equivalent O(4)Tb4 tetrahedra, corners with four equivalent O(2)Tb2Ce2 tetrahedra, corners with eight equivalent O(1)Tb2Ce2 tetrahedra,  an edgeedge with one O(3)Ce4 tetrahedra,  an edgeedge with one O(4)Tb4 tetrahedra, and edges with four equivalent O(1)Tb2Ce2 tetrahedra. In the third O site, O(3) is bonded to four equivalent Ce(1) atoms to form OCe4 tetrahedra that share corners with four equivalent O(3)Ce4 tetrahedra, corners with four equivalent O(2)Tb2Ce2 tetrahedra, corners with eight equivalent O(1)Tb2Ce2 tetrahedra, edges with two equivalent O(2)Tb2Ce2 tetrahedra, and edges with four equivalent O(1)Tb2Ce2 tetrahedra. In the fourth O site, O(4) is bonded to four equivalent Tb(1) atoms to form OTb4 tetrahedra that share corners with four equivalent O(2)Tb2Ce2 tetrahedra, corners with four equivalent O(4)Tb4 tetrahedra, corners with eight equivalent O(1)Tb2Ce2 tetrahedra, edges with two equivalent O(2)Tb2Ce2 tetrahedra, and edges with four equivalent O(1)Tb2Ce2 tetrahedra.