MgCu4Cd4As4(HO5)4 crystallizes in the monoclinic Pm space group. Mg(1) is bonded to one O(16), one O(7), and two equivalent O(2) atoms to form distorted MgO4 tetrahedra that share corners with two equivalent Cd(1)O6 octahedra, corners with two equivalent Cu(2)O5 square pyramids,  a cornercorner with one As(3)O4 tetrahedra, and  an edgeedge with one As(4)O4 tetrahedra. The corner-sharing octahedral tilt angles are 72°. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(10), one O(12), one O(13), one O(15), and one O(3) atom to form distorted CuO5 square pyramids that share  a cornercorner with one Cd(1)O6 octahedra,  a cornercorner with one As(1)O4 tetrahedra,  a cornercorner with one As(2)O4 tetrahedra,  a cornercorner with one As(4)O4 tetrahedra, and edges with two equivalent Cu(1)O5 square pyramids. The corner-sharing octahedral tilt angles are 73°. In the second Cu site, Cu(2) is bonded to one O(11), one O(14), one O(16), one O(4), and one O(9) atom to form distorted CuO5 square pyramids that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one As(1)O4 tetrahedra,  a cornercorner with one As(2)O4 tetrahedra,  a cornercorner with one As(3)O4 tetrahedra, and edges with two equivalent Cu(2)O5 square pyramids. There are four inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one O(13), one O(5), two equivalent O(1), and two equivalent O(2) atoms to form CdO6 octahedra that share corners with two equivalent Cu(1)O5 square pyramids,  a cornercorner with one As(1)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent As(3)O4 tetrahedra, and corners with two equivalent As(4)O4 tetrahedra. In the second Cd site, Cd(2) is bonded in a distorted pentagonal planar geometry to one O(10), one O(14), one O(6), and two equivalent O(1) atoms. In the third Cd site, Cd(3) is bonded in a 6-coordinate geometry to one O(15), one O(7), two equivalent O(3), and two equivalent O(4) atoms. In the fourth Cd site, Cd(4) is bonded in a 5-coordinate geometry to one O(12), one O(16), one O(8), and two equivalent O(4) atoms. There are four inequivalent As sites. In the first As site, As(1) is bonded to one O(5), one O(9), and two equivalent O(3) atoms to form AsO4 tetrahedra that share  a cornercorner with one Cd(1)O6 octahedra, corners with two equivalent Cu(1)O5 square pyramids, and corners with two equivalent Cu(2)O5 square pyramids. The corner-sharing octahedral tilt angles are 58°. In the second As site, As(2) is bonded to one O(10), one O(6), and two equivalent O(4) atoms to form AsO4 tetrahedra that share corners with two equivalent Cu(1)O5 square pyramids and corners with two equivalent Cu(2)O5 square pyramids. In the third As site, As(3) is bonded to one O(11), one O(7), and two equivalent O(1) atoms to form AsO4 tetrahedra that share corners with two equivalent Cd(1)O6 octahedra, corners with two equivalent Cu(2)O5 square pyramids, and  a cornercorner with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 59°. In the fourth As site, As(4) is bonded to one O(12), one O(8), and two equivalent O(2) atoms to form AsO4 tetrahedra that share corners with two equivalent Cd(1)O6 octahedra, corners with two equivalent Cu(1)O5 square pyramids, and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are four inequivalent H sites. In the first H site, H(1) is bonded in a distorted single-bond geometry to one O(13) and one O(6) atom. In the second H site, H(2) is bonded in a single-bond geometry to one O(14) atom. In the third H site, H(3) is bonded in a single-bond geometry to one O(15) atom. In the fourth H site, H(4) is bonded in a single-bond geometry to one O(16) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Cd(1), one Cd(2), and one As(3) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Mg(1), one Cd(1), and one As(4) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Cu(1), one Cd(3), and one As(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Cu(2), one Cd(3), one Cd(4), and one As(2) atom. In the fifth O site, O(5) is bonded in a bent 120 degrees geometry to one Cd(1) and one As(1) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Cd(2), one As(2), and one H(1) atom. In the seventh O site, O(7) is bonded in a trigonal planar geometry to one Mg(1), one Cd(3), and one As(3) atom. In the eighth O site, O(8) is bonded in a distorted L-shaped geometry to one Cd(4) and one As(4) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to two equivalent Cu(2) and one As(1) atom. In the tenth O site, O(10) is bonded to two equivalent Cu(1), one Cd(2), and one As(2) atom to form distorted OCdCu2As tetrahedra that share corners with two equivalent O(12)CdCu2As tetrahedra and  an edgeedge with one O(13)CdCu2H tetrahedra. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to two equivalent Cu(2) and one As(3) atom. In the twelfth O site, O(12) is bonded to two equivalent Cu(1), one Cd(4), and one As(4) atom to form distorted OCdCu2As tetrahedra that share corners with two equivalent O(10)CdCu2As tetrahedra and corners with two equivalent O(13)CdCu2H tetrahedra. In the thirteenth O site, O(13) is bonded to two equivalent Cu(1), one Cd(1), and one H(1) atom to form a mixture of distorted corner and edge-sharing OCdCu2H tetrahedra. In the fourteenth O site, O(14) is bonded in a distorted single-bond geometry to two equivalent Cu(2), one Cd(2), and one H(2) atom. In the fifteenth O site, O(15) is bonded in a distorted single-bond geometry to two equivalent Cu(1), one Cd(3), and one H(3) atom. In the sixteenth O site, O(16) is bonded in a distorted single-bond geometry to one Mg(1), two equivalent Cu(2), one Cd(4), and one H(4) atom.
MgCu4Cd4As4(HO5)4 crystallizes in the monoclinic Pm space group. Mg(1) is bonded to one O(16), one O(7), and two equivalent O(2) atoms to form distorted MgO4 tetrahedra that share corners with two equivalent Cd(1)O6 octahedra, corners with two equivalent Cu(2)O5 square pyramids,  a cornercorner with one As(3)O4 tetrahedra, and  an edgeedge with one As(4)O4 tetrahedra. The corner-sharing octahedral tilt angles are 72°. The Mg(1)-O(16) bond length is 2.02 Å. The Mg(1)-O(7) bond length is 1.93 Å. Both Mg(1)-O(2) bond lengths are 2.03 Å. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(10), one O(12), one O(13), one O(15), and one O(3) atom to form distorted CuO5 square pyramids that share  a cornercorner with one Cd(1)O6 octahedra,  a cornercorner with one As(1)O4 tetrahedra,  a cornercorner with one As(2)O4 tetrahedra,  a cornercorner with one As(4)O4 tetrahedra, and edges with two equivalent Cu(1)O5 square pyramids. The corner-sharing octahedral tilt angles are 73°. The Cu(1)-O(10) bond length is 2.16 Å. The Cu(1)-O(12) bond length is 2.34 Å. The Cu(1)-O(13) bond length is 1.94 Å. The Cu(1)-O(15) bond length is 1.92 Å. The Cu(1)-O(3) bond length is 2.26 Å. In the second Cu site, Cu(2) is bonded to one O(11), one O(14), one O(16), one O(4), and one O(9) atom to form distorted CuO5 square pyramids that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one As(1)O4 tetrahedra,  a cornercorner with one As(2)O4 tetrahedra,  a cornercorner with one As(3)O4 tetrahedra, and edges with two equivalent Cu(2)O5 square pyramids. The Cu(2)-O(11) bond length is 2.08 Å. The Cu(2)-O(14) bond length is 1.97 Å. The Cu(2)-O(16) bond length is 2.09 Å. The Cu(2)-O(4) bond length is 2.39 Å. The Cu(2)-O(9) bond length is 2.04 Å. There are four inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one O(13), one O(5), two equivalent O(1), and two equivalent O(2) atoms to form CdO6 octahedra that share corners with two equivalent Cu(1)O5 square pyramids,  a cornercorner with one As(1)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent As(3)O4 tetrahedra, and corners with two equivalent As(4)O4 tetrahedra. The Cd(1)-O(13) bond length is 2.24 Å. The Cd(1)-O(5) bond length is 2.20 Å. Both Cd(1)-O(1) bond lengths are 2.51 Å. Both Cd(1)-O(2) bond lengths are 2.44 Å. In the second Cd site, Cd(2) is bonded in a distorted pentagonal planar geometry to one O(10), one O(14), one O(6), and two equivalent O(1) atoms. The Cd(2)-O(10) bond length is 2.47 Å. The Cd(2)-O(14) bond length is 2.27 Å. The Cd(2)-O(6) bond length is 2.34 Å. Both Cd(2)-O(1) bond lengths are 2.39 Å. In the third Cd site, Cd(3) is bonded in a 6-coordinate geometry to one O(15), one O(7), two equivalent O(3), and two equivalent O(4) atoms. The Cd(3)-O(15) bond length is 2.33 Å. The Cd(3)-O(7) bond length is 2.32 Å. Both Cd(3)-O(3) bond lengths are 2.34 Å. Both Cd(3)-O(4) bond lengths are 2.56 Å. In the fourth Cd site, Cd(4) is bonded in a 5-coordinate geometry to one O(12), one O(16), one O(8), and two equivalent O(4) atoms. The Cd(4)-O(12) bond length is 2.27 Å. The Cd(4)-O(16) bond length is 2.48 Å. The Cd(4)-O(8) bond length is 2.38 Å. Both Cd(4)-O(4) bond lengths are 2.26 Å. There are four inequivalent As sites. In the first As site, As(1) is bonded to one O(5), one O(9), and two equivalent O(3) atoms to form AsO4 tetrahedra that share  a cornercorner with one Cd(1)O6 octahedra, corners with two equivalent Cu(1)O5 square pyramids, and corners with two equivalent Cu(2)O5 square pyramids. The corner-sharing octahedral tilt angles are 58°. The As(1)-O(5) bond length is 1.73 Å. The As(1)-O(9) bond length is 1.75 Å. Both As(1)-O(3) bond lengths are 1.73 Å. In the second As site, As(2) is bonded to one O(10), one O(6), and two equivalent O(4) atoms to form AsO4 tetrahedra that share corners with two equivalent Cu(1)O5 square pyramids and corners with two equivalent Cu(2)O5 square pyramids. The As(2)-O(10) bond length is 1.74 Å. The As(2)-O(6) bond length is 1.73 Å. Both As(2)-O(4) bond lengths are 1.75 Å. In the third As site, As(3) is bonded to one O(11), one O(7), and two equivalent O(1) atoms to form AsO4 tetrahedra that share corners with two equivalent Cd(1)O6 octahedra, corners with two equivalent Cu(2)O5 square pyramids, and  a cornercorner with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 59°. The As(3)-O(11) bond length is 1.77 Å. The As(3)-O(7) bond length is 1.74 Å. Both As(3)-O(1) bond lengths are 1.72 Å. In the fourth As site, As(4) is bonded to one O(12), one O(8), and two equivalent O(2) atoms to form AsO4 tetrahedra that share corners with two equivalent Cd(1)O6 octahedra, corners with two equivalent Cu(1)O5 square pyramids, and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. The As(4)-O(12) bond length is 1.76 Å. The As(4)-O(8) bond length is 1.70 Å. Both As(4)-O(2) bond lengths are 1.75 Å. There are four inequivalent H sites. In the first H site, H(1) is bonded in a distorted single-bond geometry to one O(13) and one O(6) atom. The H(1)-O(13) bond length is 1.00 Å. The H(1)-O(6) bond length is 1.64 Å. In the second H site, H(2) is bonded in a single-bond geometry to one O(14) atom. The H(2)-O(14) bond length is 1.00 Å. In the third H site, H(3) is bonded in a single-bond geometry to one O(15) atom. The H(3)-O(15) bond length is 0.99 Å. In the fourth H site, H(4) is bonded in a single-bond geometry to one O(16) atom. The H(4)-O(16) bond length is 0.99 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Cd(1), one Cd(2), and one As(3) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Mg(1), one Cd(1), and one As(4) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Cu(1), one Cd(3), and one As(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Cu(2), one Cd(3), one Cd(4), and one As(2) atom. In the fifth O site, O(5) is bonded in a bent 120 degrees geometry to one Cd(1) and one As(1) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Cd(2), one As(2), and one H(1) atom. In the seventh O site, O(7) is bonded in a trigonal planar geometry to one Mg(1), one Cd(3), and one As(3) atom. In the eighth O site, O(8) is bonded in a distorted L-shaped geometry to one Cd(4) and one As(4) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to two equivalent Cu(2) and one As(1) atom. In the tenth O site, O(10) is bonded to two equivalent Cu(1), one Cd(2), and one As(2) atom to form distorted OCdCu2As tetrahedra that share corners with two equivalent O(12)CdCu2As tetrahedra and  an edgeedge with one O(13)CdCu2H tetrahedra. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to two equivalent Cu(2) and one As(3) atom. In the twelfth O site, O(12) is bonded to two equivalent Cu(1), one Cd(4), and one As(4) atom to form distorted OCdCu2As tetrahedra that share corners with two equivalent O(10)CdCu2As tetrahedra and corners with two equivalent O(13)CdCu2H tetrahedra. In the thirteenth O site, O(13) is bonded to two equivalent Cu(1), one Cd(1), and one H(1) atom to form a mixture of distorted corner and edge-sharing OCdCu2H tetrahedra. In the fourteenth O site, O(14) is bonded in a distorted single-bond geometry to two equivalent Cu(2), one Cd(2), and one H(2) atom. In the fifteenth O site, O(15) is bonded in a distorted single-bond geometry to two equivalent Cu(1), one Cd(3), and one H(3) atom. In the sixteenth O site, O(16) is bonded in a distorted single-bond geometry to one Mg(1), two equivalent Cu(2), one Cd(4), and one H(4) atom.