The crystal structure described by MgCu4Cd4As4(HO5)4 crystallizes in the monoclinic Pm space group. Mg(1) is bonded to one O(15), one O(8), and two equivalent O(4) atoms to form MgO4 tetrahedra that share corners with two equivalent Cu(2)O6 octahedra,  a cornercorner with one As(4)O4 tetrahedra, and corners with two equivalent As(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 59°. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(12), one O(13), one O(15), and one O(3) atom. In the second Cu site, Cu(2) is bonded to one O(11), one O(14), one O(16), one O(2), one O(4), and one O(9) atom to form distorted CuO6 octahedra 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,  a cornercorner with one As(4)O4 tetrahedra,  a cornercorner with one Cd(3)O4 trigonal pyramid, edges with two equivalent Cu(2)O6 octahedra, and  an edgeedge with one Cd(2)O7 pentagonal bipyramid. There are four inequivalent Cd sites. In the first Cd site, Cd(1) is bonded in a 5-coordinate geometry to one O(13), one O(5), one O(9), and two equivalent O(2) atoms. In the second Cd site, Cd(2) is bonded to one O(10), one O(14), one O(6), two equivalent O(1), and two equivalent O(2) atoms to form distorted CdO7 pentagonal bipyramids that share corners with two equivalent As(3)O4 tetrahedra, corners with two equivalent As(4)O4 tetrahedra, edges with two equivalent Cu(2)O6 octahedra, and  an edgeedge with one As(2)O4 tetrahedra. In the third Cd site, Cd(3) is bonded to one O(11), one O(7), and two equivalent O(3) atoms to form distorted CdO4 trigonal pyramids that share corners with two equivalent Cu(2)O6 octahedra, corners with two equivalent As(1)O4 tetrahedra, and  an edgeedge with one As(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. In the fourth Cd site, Cd(4) is bonded in a rectangular see-saw-like geometry to one O(12), one O(16), and two equivalent O(3) 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 corners with two equivalent Cu(2)O6 octahedra and corners with two equivalent Cd(3)O4 trigonal pyramids. The corner-sharing octahedral tilt angles are 45°. 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(2)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, and  an edgeedge with one Cd(2)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 55°. 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 Cu(2)O6 octahedra, corners with two equivalent Cd(2)O7 pentagonal bipyramids, and  an edgeedge with one Cd(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. 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 Cu(2)O6 octahedra, corners with two equivalent Cd(2)O7 pentagonal bipyramids, and  a cornercorner with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. 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 Cu(1), one Cd(2), and one As(3) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Cu(2), one Cd(1), one Cd(2), and one As(4) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Cu(1), one Cd(3), one Cd(4), and one As(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Mg(1), one Cu(2), and one As(2) atom. In the fifth O site, O(5) is bonded in a water-like geometry to one Cd(1) and one As(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Cd(2), one As(2), and one H(1) atom. In the seventh O site, O(7) is bonded in an L-shaped geometry to one Cd(3) and one As(3) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one Mg(1) and one As(4) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to two equivalent Cu(2), one Cd(1), and one As(1) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Cu(1), one Cd(2), and one As(2) atom. In the eleventh O site, O(11) is bonded in a distorted tetrahedral geometry to two equivalent Cu(2), one Cd(3), and one As(3) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to two equivalent Cu(1), one Cd(4), and one As(4) atom. In the thirteenth O site, O(13) is bonded in a distorted tetrahedral geometry to two equivalent Cu(1), one Cd(1), and one H(1) atom. 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 one Mg(1), two equivalent Cu(1), and one H(3) atom. In the sixteenth O site, O(16) is bonded in a distorted single-bond geometry to two equivalent Cu(2), one Cd(4), and one H(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgCd4Cu4As4(HO5)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.082
_cell_length_b   7.941
_cell_length_c   9.430
_cell_angle_alpha   88.861
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   455.364
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Mg  Mg0  1  0.750  0.153  0.870  1.0
  Cd  Cd1  1  0.250  0.662  0.306  1.0
  Cd  Cd2  1  0.250  0.120  0.194  1.0
  Cd  Cd3  1  0.750  0.419  0.629  1.0
  Cd  Cd4  1  0.750  0.771  0.809  1.0
  Cu  Cu5  1  0.485  0.502  0.004  1.0
  Cu  Cu6  1  0.994  0.012  0.510  1.0
  Cu  Cu7  1  0.015  0.502  0.004  1.0
  Cu  Cu8  1  0.506  0.012  0.510  1.0
  As  As9  1  0.250  0.616  0.633  1.0
  As  As10  1  0.250  0.130  0.858  1.0
  As  As11  1  0.750  0.360  0.324  1.0
  As  As12  1  0.750  0.868  0.160  1.0
  H  H13  1  0.250  0.760  0.026  1.0
  H  H14  1  0.250  0.252  0.461  1.0
  H  H15  1  0.750  0.318  0.057  1.0
  H  H16  1  0.750  0.769  0.522  1.0
  O  O17  1  0.518  0.341  0.222  1.0
  O  O18  1  0.985  0.876  0.263  1.0
  O  O19  1  0.016  0.576  0.739  1.0
  O  O20  1  0.486  0.129  0.754  1.0
  O  O21  1  0.484  0.576  0.739  1.0
  O  O22  1  0.014  0.129  0.754  1.0
  O  O23  1  0.982  0.341  0.222  1.0
  O  O24  1  0.515  0.876  0.263  1.0
  O  O25  1  0.250  0.480  0.493  1.0
  O  O26  1  0.250  0.964  0.978  1.0
  O  O27  1  0.750  0.549  0.412  1.0
  O  O28  1  0.750  0.038  0.047  1.0
  O  O29  1  0.250  0.819  0.560  1.0
  O  O30  1  0.250  0.305  0.966  1.0
  O  O31  1  0.750  0.209  0.470  1.0
  O  O32  1  0.750  0.695  0.040  1.0
  O  O33  1  0.250  0.643  0.067  1.0
  O  O34  1  0.250  0.130  0.440  1.0
  O  O35  1  0.750  0.373  0.961  1.0
  O  O36  1  0.750  0.869  0.582  1.0
[/CIF]
.
The crystal structure described by MgCu4Cd4As4(HO5)4 crystallizes in the monoclinic Pm space group. Mg(1) is bonded to one O(15), one O(8), and two equivalent O(4) atoms to form MgO4 tetrahedra that share corners with two equivalent Cu(2)O6 octahedra,  a cornercorner with one As(4)O4 tetrahedra, and corners with two equivalent As(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 59°. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(12), one O(13), one O(15), and one O(3) atom. In the second Cu site, Cu(2) is bonded to one O(11), one O(14), one O(16), one O(2), one O(4), and one O(9) atom to form distorted CuO6 octahedra 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,  a cornercorner with one As(4)O4 tetrahedra,  a cornercorner with one Cd(3)O4 trigonal pyramid, edges with two equivalent Cu(2)O6 octahedra, and  an edgeedge with one Cd(2)O7 pentagonal bipyramid. There are four inequivalent Cd sites. In the first Cd site, Cd(1) is bonded in a 5-coordinate geometry to one O(13), one O(5), one O(9), and two equivalent O(2) atoms. In the second Cd site, Cd(2) is bonded to one O(10), one O(14), one O(6), two equivalent O(1), and two equivalent O(2) atoms to form distorted CdO7 pentagonal bipyramids that share corners with two equivalent As(3)O4 tetrahedra, corners with two equivalent As(4)O4 tetrahedra, edges with two equivalent Cu(2)O6 octahedra, and  an edgeedge with one As(2)O4 tetrahedra. In the third Cd site, Cd(3) is bonded to one O(11), one O(7), and two equivalent O(3) atoms to form distorted CdO4 trigonal pyramids that share corners with two equivalent Cu(2)O6 octahedra, corners with two equivalent As(1)O4 tetrahedra, and  an edgeedge with one As(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. In the fourth Cd site, Cd(4) is bonded in a rectangular see-saw-like geometry to one O(12), one O(16), and two equivalent O(3) 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 corners with two equivalent Cu(2)O6 octahedra and corners with two equivalent Cd(3)O4 trigonal pyramids. The corner-sharing octahedral tilt angles are 45°. 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(2)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, and  an edgeedge with one Cd(2)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 55°. 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 Cu(2)O6 octahedra, corners with two equivalent Cd(2)O7 pentagonal bipyramids, and  an edgeedge with one Cd(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. 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 Cu(2)O6 octahedra, corners with two equivalent Cd(2)O7 pentagonal bipyramids, and  a cornercorner with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. 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 Cu(1), one Cd(2), and one As(3) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Cu(2), one Cd(1), one Cd(2), and one As(4) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Cu(1), one Cd(3), one Cd(4), and one As(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Mg(1), one Cu(2), and one As(2) atom. In the fifth O site, O(5) is bonded in a water-like geometry to one Cd(1) and one As(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Cd(2), one As(2), and one H(1) atom. In the seventh O site, O(7) is bonded in an L-shaped geometry to one Cd(3) and one As(3) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one Mg(1) and one As(4) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to two equivalent Cu(2), one Cd(1), and one As(1) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Cu(1), one Cd(2), and one As(2) atom. In the eleventh O site, O(11) is bonded in a distorted tetrahedral geometry to two equivalent Cu(2), one Cd(3), and one As(3) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to two equivalent Cu(1), one Cd(4), and one As(4) atom. In the thirteenth O site, O(13) is bonded in a distorted tetrahedral geometry to two equivalent Cu(1), one Cd(1), and one H(1) atom. 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 one Mg(1), two equivalent Cu(1), and one H(3) atom. In the sixteenth O site, O(16) is bonded in a distorted single-bond geometry to two equivalent Cu(2), one Cd(4), and one H(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgCd4Cu4As4(HO5)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.082
_cell_length_b   7.941
_cell_length_c   9.430
_cell_angle_alpha   88.861
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   455.364
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Mg  Mg0  1  0.750  0.153  0.870  1.0
  Cd  Cd1  1  0.250  0.662  0.306  1.0
  Cd  Cd2  1  0.250  0.120  0.194  1.0
  Cd  Cd3  1  0.750  0.419  0.629  1.0
  Cd  Cd4  1  0.750  0.771  0.809  1.0
  Cu  Cu5  1  0.485  0.502  0.004  1.0
  Cu  Cu6  1  0.994  0.012  0.510  1.0
  Cu  Cu7  1  0.015  0.502  0.004  1.0
  Cu  Cu8  1  0.506  0.012  0.510  1.0
  As  As9  1  0.250  0.616  0.633  1.0
  As  As10  1  0.250  0.130  0.858  1.0
  As  As11  1  0.750  0.360  0.324  1.0
  As  As12  1  0.750  0.868  0.160  1.0
  H  H13  1  0.250  0.760  0.026  1.0
  H  H14  1  0.250  0.252  0.461  1.0
  H  H15  1  0.750  0.318  0.057  1.0
  H  H16  1  0.750  0.769  0.522  1.0
  O  O17  1  0.518  0.341  0.222  1.0
  O  O18  1  0.985  0.876  0.263  1.0
  O  O19  1  0.016  0.576  0.739  1.0
  O  O20  1  0.486  0.129  0.754  1.0
  O  O21  1  0.484  0.576  0.739  1.0
  O  O22  1  0.014  0.129  0.754  1.0
  O  O23  1  0.982  0.341  0.222  1.0
  O  O24  1  0.515  0.876  0.263  1.0
  O  O25  1  0.250  0.480  0.493  1.0
  O  O26  1  0.250  0.964  0.978  1.0
  O  O27  1  0.750  0.549  0.412  1.0
  O  O28  1  0.750  0.038  0.047  1.0
  O  O29  1  0.250  0.819  0.560  1.0
  O  O30  1  0.250  0.305  0.966  1.0
  O  O31  1  0.750  0.209  0.470  1.0
  O  O32  1  0.750  0.695  0.040  1.0
  O  O33  1  0.250  0.643  0.067  1.0
  O  O34  1  0.250  0.130  0.440  1.0
  O  O35  1  0.750  0.373  0.961  1.0
  O  O36  1  0.750  0.869  0.582  1.0
[/CIF]
.