The material structure described by Mg3Fe4(WO4)6 crystallizes in the triclinic P-1 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a square co-planar geometry to two equivalent O(1) and two equivalent O(3) atoms. In the second Mg site, Mg(2) is bonded to one O(11), one O(2), one O(5), one O(6), and one O(7) atom to form MgO5 trigonal bipyramids that share  a cornercorner with one W(2)O4 tetrahedra, corners with two equivalent W(1)O4 tetrahedra, corners with two equivalent W(3)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, and  an edgeedge with one Fe(2)O6 octahedra. There are three inequivalent W sites. In the first W site, W(1) is bonded to one O(10), one O(11), one O(3), and one O(6) atom to form WO4 tetrahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, and corners with two equivalent Mg(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 20-69°. In the second W site, W(2) is bonded to one O(1), one O(4), one O(7), and one O(8) atom to form WO4 tetrahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra, and  a cornercorner with one Mg(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 44-56°. In the third W site, W(3) is bonded to one O(12), one O(2), one O(5), and one O(9) atom to form WO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, and corners with two equivalent Mg(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 22-57°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(6), one O(7), one O(9), and two equivalent O(4) atoms to form FeO6 octahedra that share  a cornercorner with one W(3)O4 tetrahedra, corners with two equivalent W(1)O4 tetrahedra, corners with three equivalent W(2)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, and  an edgeedge with one Mg(2)O5 trigonal bipyramid. In the second Fe site, Fe(2) is bonded to one O(10), one O(11), one O(12), one O(5), and two equivalent O(8) atoms to form FeO6 octahedra that share corners with two equivalent W(1)O4 tetrahedra, corners with two equivalent W(2)O4 tetrahedra, corners with two equivalent W(3)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, and  an edgeedge with one Mg(2)O5 trigonal bipyramid. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a bent 150 degrees geometry to one Mg(1) and one W(2) atom. In the second O site, O(2) is bonded in a distorted bent 120 degrees geometry to one Mg(2) and one W(3) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mg(1), one W(1), and one Fe(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one W(2) and two equivalent Fe(1) atoms. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Mg(2), one W(3), and one Fe(2) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Mg(2), one W(1), and one Fe(1) atom. In the seventh O site, O(7) is bonded in a trigonal planar geometry to one Mg(2), one W(2), and one Fe(1) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one W(2) and two equivalent Fe(2) atoms. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one W(3) and one Fe(1) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one W(1) and one Fe(2) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Mg(2), one W(1), and one Fe(2) atom. In the twelfth O site, O(12) is bonded in a bent 150 degrees geometry to one W(3) and one Fe(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg3Fe4(WO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.136
_cell_length_b   8.464
_cell_length_c   10.330
_cell_angle_alpha   103.844
_cell_angle_beta   104.490
_cell_angle_gamma   101.463
_symmetry_Int_Tables_number   1
_cell_volume   563.948
_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  0.000  0.500  0.500  1.0
  Mg  Mg1  1  0.271  0.272  0.785  1.0
  Mg  Mg2  1  0.729  0.728  0.215  1.0
  Fe  Fe3  1  0.382  0.960  0.606  1.0
  Fe  Fe4  1  0.618  0.040  0.394  1.0
  Fe  Fe5  1  0.047  0.200  0.014  1.0
  Fe  Fe6  1  0.953  0.800  0.986  1.0
  W  W7  1  0.777  0.344  0.730  1.0
  W  W8  1  0.223  0.656  0.270  1.0
  W  W9  1  0.900  0.903  0.666  1.0
  W  W10  1  0.406  0.719  0.878  1.0
  W  W11  1  0.100  0.097  0.334  1.0
  W  W12  1  0.594  0.281  0.122  1.0
  O  O13  1  0.896  0.691  0.566  1.0
  O  O14  1  0.104  0.309  0.434  1.0
  O  O15  1  0.285  0.503  0.761  1.0
  O  O16  1  0.715  0.497  0.239  1.0
  O  O17  1  0.790  0.327  0.553  1.0
  O  O18  1  0.210  0.673  0.447  1.0
  O  O19  1  0.671  0.976  0.586  1.0
  O  O20  1  0.329  0.024  0.414  1.0
  O  O21  1  0.641  0.731  0.012  1.0
  O  O22  1  0.359  0.269  0.988  1.0
  O  O23  1  0.474  0.759  0.268  1.0
  O  O24  1  0.526  0.241  0.732  1.0
  O  O25  1  0.146  0.038  0.659  1.0
  O  O26  1  0.067  0.046  0.140  1.0
  O  O27  1  0.933  0.954  0.860  1.0
  O  O28  1  0.553  0.146  0.228  1.0
  O  O29  1  0.447  0.854  0.772  1.0
  O  O30  1  0.174  0.437  0.179  1.0
  O  O31  1  0.826  0.563  0.821  1.0
  O  O32  1  0.988  0.277  0.825  1.0
  O  O33  1  0.012  0.723  0.175  1.0
  O  O34  1  0.233  0.778  0.967  1.0
  O  O35  1  0.767  0.222  0.033  1.0
  O  O36  1  0.854  0.962  0.341  1.0
[/CIF]
.
The material structure described by Mg3Fe4(WO4)6 crystallizes in the triclinic P-1 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a square co-planar geometry to two equivalent O(1) and two equivalent O(3) atoms. In the second Mg site, Mg(2) is bonded to one O(11), one O(2), one O(5), one O(6), and one O(7) atom to form MgO5 trigonal bipyramids that share  a cornercorner with one W(2)O4 tetrahedra, corners with two equivalent W(1)O4 tetrahedra, corners with two equivalent W(3)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, and  an edgeedge with one Fe(2)O6 octahedra. There are three inequivalent W sites. In the first W site, W(1) is bonded to one O(10), one O(11), one O(3), and one O(6) atom to form WO4 tetrahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, and corners with two equivalent Mg(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 20-69°. In the second W site, W(2) is bonded to one O(1), one O(4), one O(7), and one O(8) atom to form WO4 tetrahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra, and  a cornercorner with one Mg(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 44-56°. In the third W site, W(3) is bonded to one O(12), one O(2), one O(5), and one O(9) atom to form WO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, and corners with two equivalent Mg(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 22-57°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(6), one O(7), one O(9), and two equivalent O(4) atoms to form FeO6 octahedra that share  a cornercorner with one W(3)O4 tetrahedra, corners with two equivalent W(1)O4 tetrahedra, corners with three equivalent W(2)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, and  an edgeedge with one Mg(2)O5 trigonal bipyramid. In the second Fe site, Fe(2) is bonded to one O(10), one O(11), one O(12), one O(5), and two equivalent O(8) atoms to form FeO6 octahedra that share corners with two equivalent W(1)O4 tetrahedra, corners with two equivalent W(2)O4 tetrahedra, corners with two equivalent W(3)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, and  an edgeedge with one Mg(2)O5 trigonal bipyramid. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a bent 150 degrees geometry to one Mg(1) and one W(2) atom. In the second O site, O(2) is bonded in a distorted bent 120 degrees geometry to one Mg(2) and one W(3) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mg(1), one W(1), and one Fe(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one W(2) and two equivalent Fe(1) atoms. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Mg(2), one W(3), and one Fe(2) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Mg(2), one W(1), and one Fe(1) atom. In the seventh O site, O(7) is bonded in a trigonal planar geometry to one Mg(2), one W(2), and one Fe(1) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one W(2) and two equivalent Fe(2) atoms. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one W(3) and one Fe(1) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one W(1) and one Fe(2) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Mg(2), one W(1), and one Fe(2) atom. In the twelfth O site, O(12) is bonded in a bent 150 degrees geometry to one W(3) and one Fe(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg3Fe4(WO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.136
_cell_length_b   8.464
_cell_length_c   10.330
_cell_angle_alpha   103.844
_cell_angle_beta   104.490
_cell_angle_gamma   101.463
_symmetry_Int_Tables_number   1
_cell_volume   563.948
_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  0.000  0.500  0.500  1.0
  Mg  Mg1  1  0.271  0.272  0.785  1.0
  Mg  Mg2  1  0.729  0.728  0.215  1.0
  Fe  Fe3  1  0.382  0.960  0.606  1.0
  Fe  Fe4  1  0.618  0.040  0.394  1.0
  Fe  Fe5  1  0.047  0.200  0.014  1.0
  Fe  Fe6  1  0.953  0.800  0.986  1.0
  W  W7  1  0.777  0.344  0.730  1.0
  W  W8  1  0.223  0.656  0.270  1.0
  W  W9  1  0.900  0.903  0.666  1.0
  W  W10  1  0.406  0.719  0.878  1.0
  W  W11  1  0.100  0.097  0.334  1.0
  W  W12  1  0.594  0.281  0.122  1.0
  O  O13  1  0.896  0.691  0.566  1.0
  O  O14  1  0.104  0.309  0.434  1.0
  O  O15  1  0.285  0.503  0.761  1.0
  O  O16  1  0.715  0.497  0.239  1.0
  O  O17  1  0.790  0.327  0.553  1.0
  O  O18  1  0.210  0.673  0.447  1.0
  O  O19  1  0.671  0.976  0.586  1.0
  O  O20  1  0.329  0.024  0.414  1.0
  O  O21  1  0.641  0.731  0.012  1.0
  O  O22  1  0.359  0.269  0.988  1.0
  O  O23  1  0.474  0.759  0.268  1.0
  O  O24  1  0.526  0.241  0.732  1.0
  O  O25  1  0.146  0.038  0.659  1.0
  O  O26  1  0.067  0.046  0.140  1.0
  O  O27  1  0.933  0.954  0.860  1.0
  O  O28  1  0.553  0.146  0.228  1.0
  O  O29  1  0.447  0.854  0.772  1.0
  O  O30  1  0.174  0.437  0.179  1.0
  O  O31  1  0.826  0.563  0.821  1.0
  O  O32  1  0.988  0.277  0.825  1.0
  O  O33  1  0.012  0.723  0.175  1.0
  O  O34  1  0.233  0.778  0.967  1.0
  O  O35  1  0.767  0.222  0.033  1.0
  O  O36  1  0.854  0.962  0.341  1.0
[/CIF]
.