The material structure described by MgCr(WO4)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(2), one O(5), and one O(6) atom to form MgO4 tetrahedra that share corners with two equivalent Cr(1)O6 octahedra and  an edgeedge with one W(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-62°. There are two inequivalent W sites. In the first W site, W(1) is bonded in a 6-coordinate geometry to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom. In the second W site, W(2) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form distorted WO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 25°. Cr(1) is bonded to one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form CrO6 octahedra that share  a cornercorner with one W(2)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, and edges with two equivalent W(2)O6 octahedra. The corner-sharing octahedral tilt angles are 25°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a bent 120 degrees geometry to one Mg(1) and one W(1) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Mg(1), one W(1), and one Cr(1) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one W(1), one W(2), and one Cr(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one W(1), one W(2), and one Cr(1) atom. In the fifth O site, O(5) is bonded in a T-shaped geometry to one Mg(1), one W(2), and one Cr(1) atom. In the sixth O site, O(6) is bonded in a water-like geometry to one Mg(1) and one W(2) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one W(1), one W(2), and one Cr(1) atom. In the eighth O site, O(8) is bonded in a trigonal non-coplanar geometry to one W(1), one W(2), and one Cr(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgCr(WO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.019
_cell_length_b   7.408
_cell_length_c   6.291
_cell_angle_alpha   109.280
_cell_angle_beta   124.458
_cell_angle_gamma   92.365
_symmetry_Int_Tables_number   1
_cell_volume   174.038
_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  0.387  0.684  0.600  1.0
  Cr  Cr1  1  0.098  0.212  0.085  1.0
  W  W2  1  0.882  0.365  0.608  1.0
  W  W3  1  0.326  0.070  0.562  1.0
  O  O4  1  0.186  0.598  0.757  1.0
  O  O5  1  0.480  0.460  0.402  1.0
  O  O6  1  0.188  0.191  0.800  1.0
  O  O7  1  0.439  0.086  0.319  1.0
  O  O8  1  0.681  0.970  0.793  1.0
  O  O9  1  0.059  0.816  0.360  1.0
  O  O10  1  0.999  0.215  0.353  1.0
  O  O11  1  0.757  0.335  0.851  1.0
[/CIF]
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The material structure described by MgCr(WO4)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(2), one O(5), and one O(6) atom to form MgO4 tetrahedra that share corners with two equivalent Cr(1)O6 octahedra and  an edgeedge with one W(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-62°. There are two inequivalent W sites. In the first W site, W(1) is bonded in a 6-coordinate geometry to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom. In the second W site, W(2) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form distorted WO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 25°. Cr(1) is bonded to one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form CrO6 octahedra that share  a cornercorner with one W(2)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, and edges with two equivalent W(2)O6 octahedra. The corner-sharing octahedral tilt angles are 25°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a bent 120 degrees geometry to one Mg(1) and one W(1) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Mg(1), one W(1), and one Cr(1) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one W(1), one W(2), and one Cr(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one W(1), one W(2), and one Cr(1) atom. In the fifth O site, O(5) is bonded in a T-shaped geometry to one Mg(1), one W(2), and one Cr(1) atom. In the sixth O site, O(6) is bonded in a water-like geometry to one Mg(1) and one W(2) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one W(1), one W(2), and one Cr(1) atom. In the eighth O site, O(8) is bonded in a trigonal non-coplanar geometry to one W(1), one W(2), and one Cr(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgCr(WO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.019
_cell_length_b   7.408
_cell_length_c   6.291
_cell_angle_alpha   109.280
_cell_angle_beta   124.458
_cell_angle_gamma   92.365
_symmetry_Int_Tables_number   1
_cell_volume   174.038
_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  0.387  0.684  0.600  1.0
  Cr  Cr1  1  0.098  0.212  0.085  1.0
  W  W2  1  0.882  0.365  0.608  1.0
  W  W3  1  0.326  0.070  0.562  1.0
  O  O4  1  0.186  0.598  0.757  1.0
  O  O5  1  0.480  0.460  0.402  1.0
  O  O6  1  0.188  0.191  0.800  1.0
  O  O7  1  0.439  0.086  0.319  1.0
  O  O8  1  0.681  0.970  0.793  1.0
  O  O9  1  0.059  0.816  0.360  1.0
  O  O10  1  0.999  0.215  0.353  1.0
  O  O11  1  0.757  0.335  0.851  1.0
[/CIF]
.