K2Cd3S3O16 crystallizes in the orthorhombic Cmc2_1 space group. K(1) is bonded in a 9-coordinate geometry to one O(4), one O(7), one O(8), two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one O(10), one O(2), one O(4), one O(7), one O(8), and one O(9) atom to form CdO6 octahedra that share corners with two equivalent Cd(2)O6 octahedra,  a cornercorner with one S(2)O4 tetrahedra, corners with two equivalent S(1)O4 tetrahedra, and  an edgeedge with one Cd(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-59°. In the second Cd site, Cd(2) is bonded to one O(10), one O(5), one O(6), one O(9), and two equivalent O(1) atoms to form CdO6 octahedra that share corners with four equivalent Cd(1)O6 octahedra, corners with two equivalent S(1)O4 tetrahedra, and corners with two equivalent S(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-59°. There are two inequivalent S sites. In the first S site, S(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form SO4 tetrahedra that share  a cornercorner with one Cd(2)O6 octahedra and corners with two equivalent Cd(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-58°. In the second S site, S(2) is bonded to one O(5), one O(6), and two equivalent O(7) atoms to form SO4 tetrahedra that share corners with two equivalent Cd(1)O6 octahedra and corners with two equivalent Cd(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-59°. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a 1-coordinate geometry to two equivalent K(1), one Cd(2), and one S(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to two equivalent K(1), one Cd(1), and one S(1) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to two equivalent K(1) and one S(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(1), one Cd(1), and one S(1) atom. In the fifth O site, O(5) is bonded in a distorted bent 120 degrees geometry to one Cd(2) and one S(2) atom. In the sixth O site, O(6) is bonded in a bent 120 degrees geometry to one Cd(2) and one S(2) atom. In the seventh O site, O(7) is bonded in a 1-coordinate geometry to one K(1), one Cd(1), and one S(2) atom. In the eighth O site, O(8) is bonded in a bent 120 degrees geometry to one K(1) and one Cd(1) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Cd(2) and two equivalent Cd(1) atoms. In the tenth O site, O(10) is bonded in a trigonal planar geometry to one Cd(2) and two equivalent Cd(1) atoms.
K2Cd3S3O16 crystallizes in the orthorhombic Cmc2_1 space group. K(1) is bonded in a 9-coordinate geometry to one O(4), one O(7), one O(8), two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms. The K(1)-O(4) bond length is 2.98 Å. The K(1)-O(7) bond length is 3.23 Å. The K(1)-O(8) bond length is 2.95 Å. There is one shorter (2.98 Å) and one longer (3.21 Å) K(1)-O(1) bond length. There is one shorter (3.03 Å) and one longer (3.15 Å) K(1)-O(2) bond length. There is one shorter (2.89 Å) and one longer (3.07 Å) K(1)-O(3) bond length. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one O(10), one O(2), one O(4), one O(7), one O(8), and one O(9) atom to form CdO6 octahedra that share corners with two equivalent Cd(2)O6 octahedra,  a cornercorner with one S(2)O4 tetrahedra, corners with two equivalent S(1)O4 tetrahedra, and  an edgeedge with one Cd(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-59°. The Cd(1)-O(10) bond length is 2.23 Å. The Cd(1)-O(2) bond length is 2.32 Å. The Cd(1)-O(4) bond length is 2.27 Å. The Cd(1)-O(7) bond length is 2.38 Å. The Cd(1)-O(8) bond length is 2.31 Å. The Cd(1)-O(9) bond length is 2.25 Å. In the second Cd site, Cd(2) is bonded to one O(10), one O(5), one O(6), one O(9), and two equivalent O(1) atoms to form CdO6 octahedra that share corners with four equivalent Cd(1)O6 octahedra, corners with two equivalent S(1)O4 tetrahedra, and corners with two equivalent S(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-59°. The Cd(2)-O(10) bond length is 2.25 Å. The Cd(2)-O(5) bond length is 2.28 Å. The Cd(2)-O(6) bond length is 2.30 Å. The Cd(2)-O(9) bond length is 2.25 Å. Both Cd(2)-O(1) bond lengths are 2.39 Å. There are two inequivalent S sites. In the first S site, S(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form SO4 tetrahedra that share  a cornercorner with one Cd(2)O6 octahedra and corners with two equivalent Cd(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-58°. The S(1)-O(1) bond length is 1.50 Å. The S(1)-O(2) bond length is 1.50 Å. The S(1)-O(3) bond length is 1.48 Å. The S(1)-O(4) bond length is 1.49 Å. In the second S site, S(2) is bonded to one O(5), one O(6), and two equivalent O(7) atoms to form SO4 tetrahedra that share corners with two equivalent Cd(1)O6 octahedra and corners with two equivalent Cd(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-59°. The S(2)-O(5) bond length is 1.48 Å. The S(2)-O(6) bond length is 1.49 Å. Both S(2)-O(7) bond lengths are 1.49 Å. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a 1-coordinate geometry to two equivalent K(1), one Cd(2), and one S(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to two equivalent K(1), one Cd(1), and one S(1) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to two equivalent K(1) and one S(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(1), one Cd(1), and one S(1) atom. In the fifth O site, O(5) is bonded in a distorted bent 120 degrees geometry to one Cd(2) and one S(2) atom. In the sixth O site, O(6) is bonded in a bent 120 degrees geometry to one Cd(2) and one S(2) atom. In the seventh O site, O(7) is bonded in a 1-coordinate geometry to one K(1), one Cd(1), and one S(2) atom. In the eighth O site, O(8) is bonded in a bent 120 degrees geometry to one K(1) and one Cd(1) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Cd(2) and two equivalent Cd(1) atoms. In the tenth O site, O(10) is bonded in a trigonal planar geometry to one Cd(2) and two equivalent Cd(1) atoms.