The material structure described by MgCu4Cd4As4(HO5)4 crystallizes in the monoclinic Pm space group. Mg(1) is bonded in a 4-coordinate geometry to one O(15), one O(8), and two equivalent O(1) atoms. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded in a 5-coordinate geometry to 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 in a distorted square co-planar geometry to one O(11), one O(14), one O(16), and one O(9) atom. 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  a cornercorner with one As(1)O4 tetrahedra, corners with two equivalent As(3)O4 tetrahedra, corners with two equivalent As(4)O4 tetrahedra, and  an edgeedge with one Cd(2)O5 square pyramid. In the second Cd site, Cd(2) is bonded to one O(10), one O(14), one O(6), and two equivalent O(2) atoms to form distorted CdO5 square pyramids that share corners with two equivalent As(4)O4 tetrahedra,  an edgeedge with one Cd(1)O6 octahedra, and  an edgeedge with one As(2)O4 tetrahedra. In the third Cd site, Cd(3) is bonded in a 8-coordinate geometry to one H(3), one O(11), 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 4-coordinate geometry to one O(12), one O(16), 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. The corner-sharing octahedral tilt angles are 60°. 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  an edgeedge with one Cd(2)O5 square pyramid. 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. The corner-sharing octahedral tilt angles are 66°. 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 and corners with two equivalent Cd(2)O5 square pyramids. The corner-sharing octahedral tilt angles are 47°. There are four inequivalent H sites. In the first H site, H(1) is bonded in a linear 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 Cd(3) and one O(15) atom. In the fourth H site, H(4) is bonded in a distorted single-bond geometry to one O(16) and one O(7) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Mg(1), one Cd(1), and one As(3) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Cd(1), one Cd(2), and one As(4) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Cu(1), one Cd(3), and one As(1) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to 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 T-shaped geometry to one Cd(2), one As(2), and one H(1) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Cd(3), one As(3), and one H(4) 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 distorted T-shaped geometry to two equivalent Cu(2) 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 distorted tetrahedral 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 single-bond 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), one Cd(3), 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   6.017
_cell_length_b   7.722
_cell_length_c   9.862
_cell_angle_alpha   88.488
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   458.059
_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  0.303  0.125  1.0
  Cd  Cd1  1  0.250  0.600  0.290  1.0
  Cd  Cd2  1  0.250  0.048  0.191  1.0
  Cd  Cd3  1  0.750  0.393  0.684  1.0
  Cd  Cd4  1  0.750  0.881  0.816  1.0
  Cu  Cu5  1  0.472  0.501  0.955  1.0
  Cu  Cu6  1  0.005  0.008  0.517  1.0
  Cu  Cu7  1  0.028  0.501  0.955  1.0
  Cu  Cu8  1  0.495  0.008  0.517  1.0
  As  As9  1  0.250  0.626  0.642  1.0
  As  As10  1  0.250  0.111  0.873  1.0
  As  As11  1  0.750  0.393  0.385  1.0
  As  As12  1  0.750  0.853  0.155  1.0
  H  H13  1  0.250  0.741  0.023  1.0
  H  H14  1  0.250  0.245  0.423  1.0
  H  H15  1  0.750  0.246  0.901  1.0
  H  H16  1  0.750  0.764  0.550  1.0
  O  O17  1  0.533  0.379  0.268  1.0
  O  O18  1  0.987  0.832  0.254  1.0
  O  O19  1  0.018  0.594  0.747  1.0
  O  O20  1  0.493  0.118  0.778  1.0
  O  O21  1  0.482  0.594  0.747  1.0
  O  O22  1  0.007  0.118  0.778  1.0
  O  O23  1  0.967  0.379  0.268  1.0
  O  O24  1  0.513  0.832  0.254  1.0
  O  O25  1  0.250  0.488  0.507  1.0
  O  O26  1  0.250  0.932  0.980  1.0
  O  O27  1  0.750  0.566  0.485  1.0
  O  O28  1  0.750  0.061  0.088  1.0
  O  O29  1  0.250  0.839  0.578  1.0
  O  O30  1  0.250  0.273  0.996  1.0
  O  O31  1  0.750  0.211  0.497  1.0
  O  O32  1  0.750  0.721  0.013  1.0
  O  O33  1  0.250  0.616  0.055  1.0
  O  O34  1  0.250  0.118  0.414  1.0
  O  O35  1  0.750  0.369  0.927  1.0
  O  O36  1  0.750  0.883  0.587  1.0
[/CIF]
.
The material structure described by MgCu4Cd4As4(HO5)4 crystallizes in the monoclinic Pm space group. Mg(1) is bonded in a 4-coordinate geometry to one O(15), one O(8), and two equivalent O(1) atoms. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded in a 5-coordinate geometry to 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 in a distorted square co-planar geometry to one O(11), one O(14), one O(16), and one O(9) atom. 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  a cornercorner with one As(1)O4 tetrahedra, corners with two equivalent As(3)O4 tetrahedra, corners with two equivalent As(4)O4 tetrahedra, and  an edgeedge with one Cd(2)O5 square pyramid. In the second Cd site, Cd(2) is bonded to one O(10), one O(14), one O(6), and two equivalent O(2) atoms to form distorted CdO5 square pyramids that share corners with two equivalent As(4)O4 tetrahedra,  an edgeedge with one Cd(1)O6 octahedra, and  an edgeedge with one As(2)O4 tetrahedra. In the third Cd site, Cd(3) is bonded in a 8-coordinate geometry to one H(3), one O(11), 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 4-coordinate geometry to one O(12), one O(16), 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. The corner-sharing octahedral tilt angles are 60°. 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  an edgeedge with one Cd(2)O5 square pyramid. 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. The corner-sharing octahedral tilt angles are 66°. 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 and corners with two equivalent Cd(2)O5 square pyramids. The corner-sharing octahedral tilt angles are 47°. There are four inequivalent H sites. In the first H site, H(1) is bonded in a linear 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 Cd(3) and one O(15) atom. In the fourth H site, H(4) is bonded in a distorted single-bond geometry to one O(16) and one O(7) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Mg(1), one Cd(1), and one As(3) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Cd(1), one Cd(2), and one As(4) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Cu(1), one Cd(3), and one As(1) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to 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 T-shaped geometry to one Cd(2), one As(2), and one H(1) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Cd(3), one As(3), and one H(4) 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 distorted T-shaped geometry to two equivalent Cu(2) 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 distorted tetrahedral 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 single-bond 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), one Cd(3), 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   6.017
_cell_length_b   7.722
_cell_length_c   9.862
_cell_angle_alpha   88.488
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   458.059
_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  0.303  0.125  1.0
  Cd  Cd1  1  0.250  0.600  0.290  1.0
  Cd  Cd2  1  0.250  0.048  0.191  1.0
  Cd  Cd3  1  0.750  0.393  0.684  1.0
  Cd  Cd4  1  0.750  0.881  0.816  1.0
  Cu  Cu5  1  0.472  0.501  0.955  1.0
  Cu  Cu6  1  0.005  0.008  0.517  1.0
  Cu  Cu7  1  0.028  0.501  0.955  1.0
  Cu  Cu8  1  0.495  0.008  0.517  1.0
  As  As9  1  0.250  0.626  0.642  1.0
  As  As10  1  0.250  0.111  0.873  1.0
  As  As11  1  0.750  0.393  0.385  1.0
  As  As12  1  0.750  0.853  0.155  1.0
  H  H13  1  0.250  0.741  0.023  1.0
  H  H14  1  0.250  0.245  0.423  1.0
  H  H15  1  0.750  0.246  0.901  1.0
  H  H16  1  0.750  0.764  0.550  1.0
  O  O17  1  0.533  0.379  0.268  1.0
  O  O18  1  0.987  0.832  0.254  1.0
  O  O19  1  0.018  0.594  0.747  1.0
  O  O20  1  0.493  0.118  0.778  1.0
  O  O21  1  0.482  0.594  0.747  1.0
  O  O22  1  0.007  0.118  0.778  1.0
  O  O23  1  0.967  0.379  0.268  1.0
  O  O24  1  0.513  0.832  0.254  1.0
  O  O25  1  0.250  0.488  0.507  1.0
  O  O26  1  0.250  0.932  0.980  1.0
  O  O27  1  0.750  0.566  0.485  1.0
  O  O28  1  0.750  0.061  0.088  1.0
  O  O29  1  0.250  0.839  0.578  1.0
  O  O30  1  0.250  0.273  0.996  1.0
  O  O31  1  0.750  0.211  0.497  1.0
  O  O32  1  0.750  0.721  0.013  1.0
  O  O33  1  0.250  0.616  0.055  1.0
  O  O34  1  0.250  0.118  0.414  1.0
  O  O35  1  0.750  0.369  0.927  1.0
  O  O36  1  0.750  0.883  0.587  1.0
[/CIF]
.