The compound described by MgCr4(WO6)2 crystallizes in the monoclinic P2 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form distorted MgO6 octahedra that share corners with two equivalent W(2)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, edges with two equivalent W(1)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and faces with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-48°. There are two inequivalent W sites. In the first W site, W(1) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(6) atoms to form WO6 octahedra that share corners with four equivalent Cr(2)O6 octahedra, corners with four equivalent Cr(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-56°. In the second W site, W(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form WO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with four equivalent Cr(4)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-54°. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with four equivalent W(2)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. In the second Cr site, Cr(2) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent W(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. In the third Cr site, Cr(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with four equivalent W(1)O6 octahedra, corners with four equivalent Cr(4)O6 octahedra,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and faces with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-52°. In the fourth Cr site, Cr(4) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with four equivalent W(2)O6 octahedra, corners with four equivalent Cr(3)O6 octahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-54°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one W(1), one Cr(2), and one Cr(3) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one W(2), one Cr(1), and one Cr(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one W(2), one Cr(3), and one Cr(4) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one W(2), one Cr(1), and one Cr(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one W(1), one Cr(1), and one Cr(2) atom. In the sixth O site, O(6) is bonded to one Mg(1), one W(1), one Cr(3), and one Cr(4) atom to form a mixture of distorted edge and corner-sharing OMgCr2W trigonal pyramids. is represented by the CIF file [CIF]
data_MgCr4(WO6)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.755
_cell_length_b   4.781
_cell_length_c   9.205
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   89.226
_symmetry_Int_Tables_number   1
_cell_volume   209.258
_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  0.500  0.000  0.815  1.0
  Cr  Cr1  1  0.000  0.000  0.342  1.0
  Cr  Cr2  1  0.500  0.500  0.172  1.0
  Cr  Cr3  1  0.500  0.500  0.839  1.0
  Cr  Cr4  1  0.000  0.000  0.664  1.0
  W  W5  1  0.000  1.000  0.015  1.0
  W  W6  1  0.500  0.500  0.499  1.0
  O  O7  1  0.322  0.264  0.994  1.0
  O  O8  1  0.190  0.784  0.508  1.0
  O  O9  1  0.810  0.216  0.508  1.0
  O  O10  1  0.678  0.736  0.994  1.0
  O  O11  1  0.670  0.723  0.676  1.0
  O  O12  1  0.330  0.277  0.676  1.0
  O  O13  1  0.684  0.699  0.337  1.0
  O  O14  1  0.183  0.794  0.173  1.0
  O  O15  1  0.817  0.206  0.173  1.0
  O  O16  1  0.827  0.218  0.838  1.0
  O  O17  1  0.316  0.300  0.337  1.0
  O  O18  1  0.173  0.782  0.838  1.0
[/CIF]
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The compound described by MgCr4(WO6)2 crystallizes in the monoclinic P2 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form distorted MgO6 octahedra that share corners with two equivalent W(2)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, edges with two equivalent W(1)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and faces with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-48°. There are two inequivalent W sites. In the first W site, W(1) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(6) atoms to form WO6 octahedra that share corners with four equivalent Cr(2)O6 octahedra, corners with four equivalent Cr(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-56°. In the second W site, W(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form WO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with four equivalent Cr(4)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-54°. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with four equivalent W(2)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. In the second Cr site, Cr(2) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent W(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. In the third Cr site, Cr(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with four equivalent W(1)O6 octahedra, corners with four equivalent Cr(4)O6 octahedra,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and faces with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-52°. In the fourth Cr site, Cr(4) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with four equivalent W(2)O6 octahedra, corners with four equivalent Cr(3)O6 octahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-54°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one W(1), one Cr(2), and one Cr(3) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one W(2), one Cr(1), and one Cr(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one W(2), one Cr(3), and one Cr(4) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one W(2), one Cr(1), and one Cr(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one W(1), one Cr(1), and one Cr(2) atom. In the sixth O site, O(6) is bonded to one Mg(1), one W(1), one Cr(3), and one Cr(4) atom to form a mixture of distorted edge and corner-sharing OMgCr2W trigonal pyramids. is represented by the CIF file [CIF]
data_MgCr4(WO6)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.755
_cell_length_b   4.781
_cell_length_c   9.205
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   89.226
_symmetry_Int_Tables_number   1
_cell_volume   209.258
_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  0.500  0.000  0.815  1.0
  Cr  Cr1  1  0.000  0.000  0.342  1.0
  Cr  Cr2  1  0.500  0.500  0.172  1.0
  Cr  Cr3  1  0.500  0.500  0.839  1.0
  Cr  Cr4  1  0.000  0.000  0.664  1.0
  W  W5  1  0.000  1.000  0.015  1.0
  W  W6  1  0.500  0.500  0.499  1.0
  O  O7  1  0.322  0.264  0.994  1.0
  O  O8  1  0.190  0.784  0.508  1.0
  O  O9  1  0.810  0.216  0.508  1.0
  O  O10  1  0.678  0.736  0.994  1.0
  O  O11  1  0.670  0.723  0.676  1.0
  O  O12  1  0.330  0.277  0.676  1.0
  O  O13  1  0.684  0.699  0.337  1.0
  O  O14  1  0.183  0.794  0.173  1.0
  O  O15  1  0.817  0.206  0.173  1.0
  O  O16  1  0.827  0.218  0.838  1.0
  O  O17  1  0.316  0.300  0.337  1.0
  O  O18  1  0.173  0.782  0.838  1.0
[/CIF]
.