CrCdO4 crystallizes in the monoclinic C2/m space group. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(3), one O(4), and two equivalent O(1) atoms to form CrO4 tetrahedra that share corners with two equivalent Cd(1)O6 octahedra and corners with four equivalent Cd(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 15-66°. In the second Cr site, Cr(2) is bonded to two equivalent O(2) and two equivalent O(5) atoms to form CrO4 tetrahedra that share corners with two equivalent Cd(2)O6 octahedra and corners with four equivalent Cd(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 21-54°. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one O(3), one O(4), two equivalent O(2), and two equivalent O(5) atoms to form CdO6 octahedra that share corners with two equivalent Cr(1)O4 tetrahedra, corners with four equivalent Cr(2)O4 tetrahedra, and edges with two equivalent Cd(2)O6 octahedra. In the second Cd site, Cd(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form CdO6 octahedra that share corners with two equivalent Cr(2)O4 tetrahedra, corners with four equivalent Cr(1)O4 tetrahedra,  an edgeedge with one Cd(2)O6 octahedra, and edges with two equivalent Cd(1)O6 octahedra. There are five inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to one Cr(1) and one Cd(2) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Cr(2), one Cd(1), and one Cd(2) atom. In the third O site, O(3) is bonded to one Cr(1), one Cd(1), and two equivalent Cd(2) atoms to form distorted edge-sharing OCrCd3 tetrahedra. In the fourth O site, O(4) is bonded in a distorted bent 150 degrees geometry to one Cr(1) and one Cd(1) atom. In the fifth O site, O(5) is bonded in a distorted bent 150 degrees geometry to one Cr(2) and one Cd(1) atom.
CrCdO4 crystallizes in the monoclinic C2/m space group. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(3), one O(4), and two equivalent O(1) atoms to form CrO4 tetrahedra that share corners with two equivalent Cd(1)O6 octahedra and corners with four equivalent Cd(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 15-66°. The Cr(1)-O(3) bond length is 1.73 Å. The Cr(1)-O(4) bond length is 1.62 Å. Both Cr(1)-O(1) bond lengths are 1.62 Å. In the second Cr site, Cr(2) is bonded to two equivalent O(2) and two equivalent O(5) atoms to form CrO4 tetrahedra that share corners with two equivalent Cd(2)O6 octahedra and corners with four equivalent Cd(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 21-54°. Both Cr(2)-O(2) bond lengths are 1.68 Å. Both Cr(2)-O(5) bond lengths are 1.62 Å. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one O(3), one O(4), two equivalent O(2), and two equivalent O(5) atoms to form CdO6 octahedra that share corners with two equivalent Cr(1)O4 tetrahedra, corners with four equivalent Cr(2)O4 tetrahedra, and edges with two equivalent Cd(2)O6 octahedra. The Cd(1)-O(3) bond length is 2.34 Å. The Cd(1)-O(4) bond length is 2.22 Å. Both Cd(1)-O(2) bond lengths are 2.30 Å. Both Cd(1)-O(5) bond lengths are 2.25 Å. In the second Cd site, Cd(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form CdO6 octahedra that share corners with two equivalent Cr(2)O4 tetrahedra, corners with four equivalent Cr(1)O4 tetrahedra,  an edgeedge with one Cd(2)O6 octahedra, and edges with two equivalent Cd(1)O6 octahedra. Both Cd(2)-O(1) bond lengths are 2.24 Å. Both Cd(2)-O(2) bond lengths are 2.30 Å. Both Cd(2)-O(3) bond lengths are 2.35 Å. There are five inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to one Cr(1) and one Cd(2) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Cr(2), one Cd(1), and one Cd(2) atom. In the third O site, O(3) is bonded to one Cr(1), one Cd(1), and two equivalent Cd(2) atoms to form distorted edge-sharing OCrCd3 tetrahedra. In the fourth O site, O(4) is bonded in a distorted bent 150 degrees geometry to one Cr(1) and one Cd(1) atom. In the fifth O site, O(5) is bonded in a distorted bent 150 degrees geometry to one Cr(2) and one Cd(1) atom.