The crystal structure described by MgCu2(WO4)2 crystallizes in the monoclinic P2_1/c space group. Mg(1) is bonded to one O(1), one O(4), one O(7), one O(8), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with three equivalent W(1)O4 tetrahedra, corners with three equivalent W(2)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra, and edges with two equivalent Cu(1)O5 trigonal bipyramids. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(1), one O(2), one O(4), and one O(7) atom to form WO4 tetrahedra that share corners with three equivalent Mg(1)O6 octahedra and corners with two equivalent Cu(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 26-46°. In the second W site, W(2) is bonded to one O(3), one O(5), one O(6), and one O(8) atom to form WO4 tetrahedra that share corners with three equivalent Mg(1)O6 octahedra and corners with three equivalent Cu(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 50-59°. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(1), one O(3), one O(5), one O(6), and one O(7) atom to form distorted CuO5 trigonal bipyramids that share corners with two equivalent W(1)O4 tetrahedra, corners with three equivalent W(2)O4 tetrahedra, and edges with two equivalent Mg(1)O6 octahedra. In the second Cu site, Cu(2) is bonded in a rectangular see-saw-like geometry to one O(2), one O(4), one O(6), and one O(8) atom. There are eight inequivalent O sites. In the first O site, O(7) is bonded in a distorted T-shaped geometry to one Mg(1), one W(1), and one Cu(1) atom. In the second O site, O(8) is bonded in a distorted trigonal planar geometry to one Mg(1), one W(2), and one Cu(2) atom. In the third O site, O(1) is bonded in a trigonal non-coplanar geometry to one Mg(1), one W(1), and one Cu(1) atom. In the fourth O site, O(2) is bonded in a bent 150 degrees geometry to one W(1) and one Cu(2) atom. In the fifth O site, O(3) is bonded in a rectangular see-saw-like geometry to two equivalent Mg(1), one W(2), and one Cu(1) atom. In the sixth O site, O(4) is bonded in a distorted trigonal planar geometry to one Mg(1), one W(1), and one Cu(2) atom. In the seventh O site, O(5) is bonded in a bent 120 degrees geometry to one W(2) and one Cu(1) atom. In the eighth O site, O(6) is bonded in a 3-coordinate geometry to one W(2), one Cu(1), and one Cu(2) atom. is represented by the CIF card [CIF]
data_MgCu2(WO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.658
_cell_length_b   6.677
_cell_length_c   12.686
_cell_angle_alpha   87.985
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   732.954
_cell_formula_units_Z   4
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  0.838  0.890  0.053  1.0
  Mg  Mg1  1  0.162  0.110  0.947  1.0
  Mg  Mg2  1  0.338  0.110  0.447  1.0
  Mg  Mg3  1  0.662  0.890  0.553  1.0
  Cu  Cu4  1  0.815  0.230  0.867  1.0
  Cu  Cu5  1  0.948  0.624  0.618  1.0
  Cu  Cu6  1  0.052  0.376  0.382  1.0
  Cu  Cu7  1  0.185  0.770  0.133  1.0
  Cu  Cu8  1  0.685  0.230  0.367  1.0
  Cu  Cu9  1  0.552  0.624  0.118  1.0
  Cu  Cu10  1  0.315  0.770  0.633  1.0
  Cu  Cu11  1  0.448  0.376  0.882  1.0
  W  W12  1  0.544  0.903  0.844  1.0
  W  W13  1  0.956  0.903  0.344  1.0
  W  W14  1  0.922  0.388  0.130  1.0
  W  W15  1  0.044  0.097  0.656  1.0
  W  W16  1  0.078  0.612  0.870  1.0
  W  W17  1  0.422  0.612  0.370  1.0
  W  W18  1  0.578  0.388  0.630  1.0
  W  W19  1  0.456  0.097  0.156  1.0
  O  O20  1  0.765  0.956  0.404  1.0
  O  O21  1  0.987  0.340  0.602  1.0
  O  O22  1  0.432  0.821  0.464  1.0
  O  O23  1  0.932  0.179  0.036  1.0
  O  O24  1  0.735  0.956  0.904  1.0
  O  O25  1  0.235  0.044  0.596  1.0
  O  O26  1  0.891  0.921  0.614  1.0
  O  O27  1  0.111  0.495  0.136  1.0
  O  O28  1  0.389  0.495  0.636  1.0
  O  O29  1  0.129  0.702  0.737  1.0
  O  O30  1  0.629  0.298  0.763  1.0
  O  O31  1  0.889  0.505  0.864  1.0
  O  O32  1  0.109  0.079  0.386  1.0
  O  O33  1  0.449  0.119  0.299  1.0
  O  O34  1  0.707  0.589  0.583  1.0
  O  O35  1  0.793  0.589  0.083  1.0
  O  O36  1  0.949  0.881  0.201  1.0
  O  O37  1  0.611  0.505  0.364  1.0
  O  O38  1  0.551  0.881  0.701  1.0
  O  O39  1  0.568  0.179  0.536  1.0
  O  O40  1  0.513  0.340  0.102  1.0
  O  O41  1  0.871  0.298  0.263  1.0
  O  O42  1  0.265  0.044  0.096  1.0
  O  O43  1  0.609  0.921  0.114  1.0
  O  O44  1  0.068  0.821  0.964  1.0
  O  O45  1  0.207  0.411  0.917  1.0
  O  O46  1  0.013  0.660  0.398  1.0
  O  O47  1  0.487  0.660  0.898  1.0
  O  O48  1  0.391  0.079  0.886  1.0
  O  O49  1  0.293  0.411  0.417  1.0
  O  O50  1  0.371  0.702  0.237  1.0
  O  O51  1  0.051  0.119  0.799  1.0
[/CIF]
.
The crystal structure described by MgCu2(WO4)2 crystallizes in the monoclinic P2_1/c space group. Mg(1) is bonded to one O(1), one O(4), one O(7), one O(8), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with three equivalent W(1)O4 tetrahedra, corners with three equivalent W(2)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra, and edges with two equivalent Cu(1)O5 trigonal bipyramids. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(1), one O(2), one O(4), and one O(7) atom to form WO4 tetrahedra that share corners with three equivalent Mg(1)O6 octahedra and corners with two equivalent Cu(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 26-46°. In the second W site, W(2) is bonded to one O(3), one O(5), one O(6), and one O(8) atom to form WO4 tetrahedra that share corners with three equivalent Mg(1)O6 octahedra and corners with three equivalent Cu(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 50-59°. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(1), one O(3), one O(5), one O(6), and one O(7) atom to form distorted CuO5 trigonal bipyramids that share corners with two equivalent W(1)O4 tetrahedra, corners with three equivalent W(2)O4 tetrahedra, and edges with two equivalent Mg(1)O6 octahedra. In the second Cu site, Cu(2) is bonded in a rectangular see-saw-like geometry to one O(2), one O(4), one O(6), and one O(8) atom. There are eight inequivalent O sites. In the first O site, O(7) is bonded in a distorted T-shaped geometry to one Mg(1), one W(1), and one Cu(1) atom. In the second O site, O(8) is bonded in a distorted trigonal planar geometry to one Mg(1), one W(2), and one Cu(2) atom. In the third O site, O(1) is bonded in a trigonal non-coplanar geometry to one Mg(1), one W(1), and one Cu(1) atom. In the fourth O site, O(2) is bonded in a bent 150 degrees geometry to one W(1) and one Cu(2) atom. In the fifth O site, O(3) is bonded in a rectangular see-saw-like geometry to two equivalent Mg(1), one W(2), and one Cu(1) atom. In the sixth O site, O(4) is bonded in a distorted trigonal planar geometry to one Mg(1), one W(1), and one Cu(2) atom. In the seventh O site, O(5) is bonded in a bent 120 degrees geometry to one W(2) and one Cu(1) atom. In the eighth O site, O(6) is bonded in a 3-coordinate geometry to one W(2), one Cu(1), and one Cu(2) atom. is represented by the CIF card [CIF]
data_MgCu2(WO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.658
_cell_length_b   6.677
_cell_length_c   12.686
_cell_angle_alpha   87.985
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   732.954
_cell_formula_units_Z   4
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  0.838  0.890  0.053  1.0
  Mg  Mg1  1  0.162  0.110  0.947  1.0
  Mg  Mg2  1  0.338  0.110  0.447  1.0
  Mg  Mg3  1  0.662  0.890  0.553  1.0
  Cu  Cu4  1  0.815  0.230  0.867  1.0
  Cu  Cu5  1  0.948  0.624  0.618  1.0
  Cu  Cu6  1  0.052  0.376  0.382  1.0
  Cu  Cu7  1  0.185  0.770  0.133  1.0
  Cu  Cu8  1  0.685  0.230  0.367  1.0
  Cu  Cu9  1  0.552  0.624  0.118  1.0
  Cu  Cu10  1  0.315  0.770  0.633  1.0
  Cu  Cu11  1  0.448  0.376  0.882  1.0
  W  W12  1  0.544  0.903  0.844  1.0
  W  W13  1  0.956  0.903  0.344  1.0
  W  W14  1  0.922  0.388  0.130  1.0
  W  W15  1  0.044  0.097  0.656  1.0
  W  W16  1  0.078  0.612  0.870  1.0
  W  W17  1  0.422  0.612  0.370  1.0
  W  W18  1  0.578  0.388  0.630  1.0
  W  W19  1  0.456  0.097  0.156  1.0
  O  O20  1  0.765  0.956  0.404  1.0
  O  O21  1  0.987  0.340  0.602  1.0
  O  O22  1  0.432  0.821  0.464  1.0
  O  O23  1  0.932  0.179  0.036  1.0
  O  O24  1  0.735  0.956  0.904  1.0
  O  O25  1  0.235  0.044  0.596  1.0
  O  O26  1  0.891  0.921  0.614  1.0
  O  O27  1  0.111  0.495  0.136  1.0
  O  O28  1  0.389  0.495  0.636  1.0
  O  O29  1  0.129  0.702  0.737  1.0
  O  O30  1  0.629  0.298  0.763  1.0
  O  O31  1  0.889  0.505  0.864  1.0
  O  O32  1  0.109  0.079  0.386  1.0
  O  O33  1  0.449  0.119  0.299  1.0
  O  O34  1  0.707  0.589  0.583  1.0
  O  O35  1  0.793  0.589  0.083  1.0
  O  O36  1  0.949  0.881  0.201  1.0
  O  O37  1  0.611  0.505  0.364  1.0
  O  O38  1  0.551  0.881  0.701  1.0
  O  O39  1  0.568  0.179  0.536  1.0
  O  O40  1  0.513  0.340  0.102  1.0
  O  O41  1  0.871  0.298  0.263  1.0
  O  O42  1  0.265  0.044  0.096  1.0
  O  O43  1  0.609  0.921  0.114  1.0
  O  O44  1  0.068  0.821  0.964  1.0
  O  O45  1  0.207  0.411  0.917  1.0
  O  O46  1  0.013  0.660  0.398  1.0
  O  O47  1  0.487  0.660  0.898  1.0
  O  O48  1  0.391  0.079  0.886  1.0
  O  O49  1  0.293  0.411  0.417  1.0
  O  O50  1  0.371  0.702  0.237  1.0
  O  O51  1  0.051  0.119  0.799  1.0
[/CIF]
.