The material structure described by MgCr2Cu2(WO4)4 crystallizes in the monoclinic C2 space group. Mg(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with four equivalent W(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cu(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 37-52°. There are two inequivalent W sites. In the first W site, W(1) is bonded in a 6-coordinate geometry to one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom. In the second W site, W(2) is bonded to one O(1), one O(3), one O(4), one O(6), one O(7), and one O(8) atom to form distorted WO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, and corners with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 37-56°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with four equivalent W(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra, and edges with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-54°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with four equivalent W(2)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, and edges with two equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-52°. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to two equivalent O(2), two equivalent O(6), and two equivalent O(7) atoms to form CuO6 octahedra that share corners with four equivalent W(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. In the second Cu site, Cu(2) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(8) atoms to form distorted CuO6 octahedra that share corners with four equivalent W(2)O6 octahedra and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one W(2), one Cr(1), and one Cu(2) atom. In the second O site, O(2) is bonded to one Mg(1), one W(1), one Cr(2), and one Cu(1) atom to form a mixture of distorted corner and edge-sharing OMgCrCuW trigonal pyramids. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Mg(1), one W(1), one W(2), and one Cr(1) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Mg(1), one W(1), one W(2), and one Cr(2) atom. In the fifth O site, O(5) is bonded in a trigonal planar geometry to one W(1), one Cr(1), and one Cu(2) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one W(2), one Cr(2), and one Cu(1) atom. In the seventh O site, O(7) is bonded in a trigonal planar geometry to one W(1), one W(2), and one Cu(1) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one W(1), one W(2), and one Cu(2) atom. is represented by the CIF card [CIF]
data_MgCr2Cu2(WO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.027
_cell_length_b   7.616
_cell_length_c   7.616
_cell_angle_alpha   100.996
_cell_angle_beta   90.405
_cell_angle_gamma   90.405
_symmetry_Int_Tables_number   1
_cell_volume   286.185
_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  0.054  0.946  1.0
  Cr  Cr1  1  0.750  0.822  0.178  1.0
  Cr  Cr2  1  0.250  0.180  0.820  1.0
  Cu  Cu3  1  0.750  0.333  0.667  1.0
  Cu  Cu4  1  0.250  0.660  0.340  1.0
  W  W5  1  0.762  0.364  0.185  1.0
  W  W6  1  0.246  0.664  0.835  1.0
  W  W7  1  0.738  0.815  0.636  1.0
  W  W8  1  0.254  0.165  0.336  1.0
  O  O9  1  0.422  0.702  0.055  1.0
  O  O10  1  0.584  0.292  0.945  1.0
  O  O11  1  0.078  0.945  0.298  1.0
  O  O12  1  0.916  0.055  0.708  1.0
  O  O13  1  0.921  0.807  0.927  1.0
  O  O14  1  0.065  0.195  0.075  1.0
  O  O15  1  0.579  0.073  0.193  1.0
  O  O16  1  0.435  0.925  0.805  1.0
  O  O17  1  0.909  0.587  0.193  1.0
  O  O18  1  0.113  0.433  0.819  1.0
  O  O19  1  0.591  0.807  0.413  1.0
  O  O20  1  0.387  0.181  0.567  1.0
  O  O21  1  0.565  0.591  0.696  1.0
  O  O22  1  0.415  0.400  0.308  1.0
  O  O23  1  0.935  0.304  0.409  1.0
  O  O24  1  0.085  0.692  0.600  1.0
[/CIF]
.
The material structure described by MgCr2Cu2(WO4)4 crystallizes in the monoclinic C2 space group. Mg(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with four equivalent W(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cu(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 37-52°. There are two inequivalent W sites. In the first W site, W(1) is bonded in a 6-coordinate geometry to one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom. In the second W site, W(2) is bonded to one O(1), one O(3), one O(4), one O(6), one O(7), and one O(8) atom to form distorted WO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, and corners with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 37-56°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with four equivalent W(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra, and edges with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-54°. In the second Cr site, Cr(2) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with four equivalent W(2)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, and edges with two equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-52°. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to two equivalent O(2), two equivalent O(6), and two equivalent O(7) atoms to form CuO6 octahedra that share corners with four equivalent W(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-56°. In the second Cu site, Cu(2) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(8) atoms to form distorted CuO6 octahedra that share corners with four equivalent W(2)O6 octahedra and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one W(2), one Cr(1), and one Cu(2) atom. In the second O site, O(2) is bonded to one Mg(1), one W(1), one Cr(2), and one Cu(1) atom to form a mixture of distorted corner and edge-sharing OMgCrCuW trigonal pyramids. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Mg(1), one W(1), one W(2), and one Cr(1) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Mg(1), one W(1), one W(2), and one Cr(2) atom. In the fifth O site, O(5) is bonded in a trigonal planar geometry to one W(1), one Cr(1), and one Cu(2) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one W(2), one Cr(2), and one Cu(1) atom. In the seventh O site, O(7) is bonded in a trigonal planar geometry to one W(1), one W(2), and one Cu(1) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one W(1), one W(2), and one Cu(2) atom. is represented by the CIF card [CIF]
data_MgCr2Cu2(WO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.027
_cell_length_b   7.616
_cell_length_c   7.616
_cell_angle_alpha   100.996
_cell_angle_beta   90.405
_cell_angle_gamma   90.405
_symmetry_Int_Tables_number   1
_cell_volume   286.185
_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  0.054  0.946  1.0
  Cr  Cr1  1  0.750  0.822  0.178  1.0
  Cr  Cr2  1  0.250  0.180  0.820  1.0
  Cu  Cu3  1  0.750  0.333  0.667  1.0
  Cu  Cu4  1  0.250  0.660  0.340  1.0
  W  W5  1  0.762  0.364  0.185  1.0
  W  W6  1  0.246  0.664  0.835  1.0
  W  W7  1  0.738  0.815  0.636  1.0
  W  W8  1  0.254  0.165  0.336  1.0
  O  O9  1  0.422  0.702  0.055  1.0
  O  O10  1  0.584  0.292  0.945  1.0
  O  O11  1  0.078  0.945  0.298  1.0
  O  O12  1  0.916  0.055  0.708  1.0
  O  O13  1  0.921  0.807  0.927  1.0
  O  O14  1  0.065  0.195  0.075  1.0
  O  O15  1  0.579  0.073  0.193  1.0
  O  O16  1  0.435  0.925  0.805  1.0
  O  O17  1  0.909  0.587  0.193  1.0
  O  O18  1  0.113  0.433  0.819  1.0
  O  O19  1  0.591  0.807  0.413  1.0
  O  O20  1  0.387  0.181  0.567  1.0
  O  O21  1  0.565  0.591  0.696  1.0
  O  O22  1  0.415  0.400  0.308  1.0
  O  O23  1  0.935  0.304  0.409  1.0
  O  O24  1  0.085  0.692  0.600  1.0
[/CIF]
.