K4Cd(P3O10)2 crystallizes in the triclinic P-1 space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 9-coordinate geometry to one O(1), one O(2), one O(6), one O(7), one O(8), two equivalent O(3), and two equivalent O(4) atoms. In the second K site, K(2) is bonded in a 7-coordinate geometry to one O(10), one O(2), one O(4), two equivalent O(5), and two equivalent O(6) atoms. Cd(1) is bonded to two equivalent O(1), two equivalent O(10), and two equivalent O(5) atoms to form CdO6 octahedra that share corners with two equivalent P(1)O4 tetrahedra and corners with two equivalent P(3)O4 tetrahedra. There are three inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(2), one O(7), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Cd(1)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra, and  a cornercorner with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. In the second P site, P(2) is bonded to one O(3), one O(4), one O(7), and one O(8) atom to form corner-sharing PO4 tetrahedra. In the third P site, P(3) is bonded to one O(5), one O(6), one O(8), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Cd(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra, and  a cornercorner with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to one K(1), one Cd(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to one K(1), one K(2), and one P(1) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to two equivalent K(1) and one P(2) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one K(2), two equivalent K(1), and one P(2) atom. In the fifth O site, O(5) is bonded in a 1-coordinate geometry to two equivalent K(2), one Cd(1), and one P(3) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one K(1), two equivalent K(2), and one P(3) atom. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(1), one P(1), and one P(2) atom. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to one K(1), one P(2), and one P(3) atom. In the ninth O site, O(9) is bonded in a bent 120 degrees geometry to one P(1) and one P(3) atom. In the tenth O site, O(10) is bonded in a water-like geometry to one K(2) and one Cd(1) atom.
K4Cd(P3O10)2 crystallizes in the triclinic P-1 space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 9-coordinate geometry to one O(1), one O(2), one O(6), one O(7), one O(8), two equivalent O(3), and two equivalent O(4) atoms. The K(1)-O(1) bond length is 3.16 Å. The K(1)-O(2) bond length is 2.89 Å. The K(1)-O(6) bond length is 2.94 Å. The K(1)-O(7) bond length is 2.88 Å. The K(1)-O(8) bond length is 2.91 Å. There is one shorter (2.84 Å) and one longer (3.20 Å) K(1)-O(3) bond length. There is one shorter (2.88 Å) and one longer (3.27 Å) K(1)-O(4) bond length. In the second K site, K(2) is bonded in a 7-coordinate geometry to one O(10), one O(2), one O(4), two equivalent O(5), and two equivalent O(6) atoms. The K(2)-O(10) bond length is 2.91 Å. The K(2)-O(2) bond length is 2.79 Å. The K(2)-O(4) bond length is 2.69 Å. There is one shorter (2.97 Å) and one longer (3.13 Å) K(2)-O(5) bond length. There is one shorter (2.71 Å) and one longer (3.01 Å) K(2)-O(6) bond length. Cd(1) is bonded to two equivalent O(1), two equivalent O(10), and two equivalent O(5) atoms to form CdO6 octahedra that share corners with two equivalent P(1)O4 tetrahedra and corners with two equivalent P(3)O4 tetrahedra. Both Cd(1)-O(1) bond lengths are 2.29 Å. Both Cd(1)-O(10) bond lengths are 2.32 Å. Both Cd(1)-O(5) bond lengths are 2.35 Å. There are three inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(2), one O(7), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Cd(1)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra, and  a cornercorner with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. The P(1)-O(1) bond length is 1.51 Å. The P(1)-O(2) bond length is 1.50 Å. The P(1)-O(7) bond length is 1.63 Å. The P(1)-O(9) bond length is 1.62 Å. In the second P site, P(2) is bonded to one O(3), one O(4), one O(7), and one O(8) atom to form corner-sharing PO4 tetrahedra. The P(2)-O(3) bond length is 1.50 Å. The P(2)-O(4) bond length is 1.49 Å. The P(2)-O(7) bond length is 1.64 Å. The P(2)-O(8) bond length is 1.64 Å. In the third P site, P(3) is bonded to one O(5), one O(6), one O(8), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Cd(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra, and  a cornercorner with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. The P(3)-O(5) bond length is 1.51 Å. The P(3)-O(6) bond length is 1.49 Å. The P(3)-O(8) bond length is 1.63 Å. The P(3)-O(9) bond length is 1.62 Å. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to one K(1), one Cd(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to one K(1), one K(2), and one P(1) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to two equivalent K(1) and one P(2) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one K(2), two equivalent K(1), and one P(2) atom. In the fifth O site, O(5) is bonded in a 1-coordinate geometry to two equivalent K(2), one Cd(1), and one P(3) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one K(1), two equivalent K(2), and one P(3) atom. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(1), one P(1), and one P(2) atom. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to one K(1), one P(2), and one P(3) atom. In the ninth O site, O(9) is bonded in a bent 120 degrees geometry to one P(1) and one P(3) atom. In the tenth O site, O(10) is bonded in a water-like geometry to one K(2) and one Cd(1) atom.