The material structure described by MgGa4(WO6)2 crystallizes in the monoclinic P2 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(5) atoms to form distorted MgO6 octahedra that share corners with two equivalent W(2)O6 octahedra, corners with two equivalent Ga(4)O6 octahedra, edges with two equivalent W(1)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and faces with two equivalent Ga(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-49°. There are two inequivalent W sites. In the first W site, W(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form WO6 octahedra that share corners with four equivalent Ga(3)O6 octahedra, corners with four equivalent Ga(4)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(2)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(3), two equivalent O(5), and two equivalent O(6) atoms to form WO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent Ga(1)O6 octahedra, corners with four equivalent Ga(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and  an edgeedge with one Ga(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. There are four inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form GaO6 octahedra that share corners with four equivalent W(2)O6 octahedra, corners with four equivalent Ga(3)O6 octahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. In the second Ga site, Ga(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms to form GaO6 octahedra that share corners with four equivalent W(2)O6 octahedra, corners with four equivalent Ga(4)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, and  an edgeedge with one Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. In the third Ga site, Ga(3) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(5) atoms to form GaO6 octahedra that share corners with four equivalent W(1)O6 octahedra, corners with four equivalent Ga(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one Ga(4)O6 octahedra, and faces with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-53°. In the fourth Ga site, Ga(4) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form GaO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent W(1)O6 octahedra, corners with four equivalent Ga(2)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, and  an edgeedge with one Ga(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-56°. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one W(1), one Ga(1), and one Ga(3) atom to form a mixture of distorted corner and edge-sharing OMgGa2W trigonal pyramids. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one W(1), one Ga(2), and one Ga(4) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one W(2), one Ga(1), and one Ga(2) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one W(1), one Ga(3), and one Ga(4) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Mg(1), one W(2), one Ga(1), and one Ga(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one W(2), one Ga(2), and one Ga(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgGa4(WO6)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.748
_cell_length_b   4.771
_cell_length_c   9.182
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.887
_symmetry_Int_Tables_number   1
_cell_volume   207.944
_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  0.189  1.0
  Ga  Ga1  1  0.000  0.000  0.341  1.0
  Ga  Ga2  1  0.000  0.000  0.659  1.0
  Ga  Ga3  1  0.500  0.500  0.157  1.0
  Ga  Ga4  1  0.500  0.500  0.824  1.0
  W  W5  1  0.000  0.000  0.986  1.0
  W  W6  1  0.500  0.500  0.499  1.0
  O  O7  1  0.172  0.216  0.162  1.0
  O  O8  1  0.183  0.208  0.827  1.0
  O  O9  1  0.190  0.212  0.493  1.0
  O  O10  1  0.324  0.732  0.005  1.0
  O  O11  1  0.328  0.720  0.323  1.0
  O  O12  1  0.314  0.701  0.662  1.0
  O  O13  1  0.672  0.280  0.323  1.0
  O  O14  1  0.686  0.299  0.662  1.0
  O  O15  1  0.676  0.268  0.005  1.0
  O  O16  1  0.810  0.788  0.493  1.0
  O  O17  1  0.828  0.784  0.162  1.0
  O  O18  1  0.817  0.792  0.827  1.0
[/CIF]
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The material structure described by MgGa4(WO6)2 crystallizes in the monoclinic P2 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(5) atoms to form distorted MgO6 octahedra that share corners with two equivalent W(2)O6 octahedra, corners with two equivalent Ga(4)O6 octahedra, edges with two equivalent W(1)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and faces with two equivalent Ga(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-49°. There are two inequivalent W sites. In the first W site, W(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form WO6 octahedra that share corners with four equivalent Ga(3)O6 octahedra, corners with four equivalent Ga(4)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(2)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(3), two equivalent O(5), and two equivalent O(6) atoms to form WO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent Ga(1)O6 octahedra, corners with four equivalent Ga(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and  an edgeedge with one Ga(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. There are four inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form GaO6 octahedra that share corners with four equivalent W(2)O6 octahedra, corners with four equivalent Ga(3)O6 octahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. In the second Ga site, Ga(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms to form GaO6 octahedra that share corners with four equivalent W(2)O6 octahedra, corners with four equivalent Ga(4)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, and  an edgeedge with one Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. In the third Ga site, Ga(3) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(5) atoms to form GaO6 octahedra that share corners with four equivalent W(1)O6 octahedra, corners with four equivalent Ga(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one Ga(4)O6 octahedra, and faces with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-53°. In the fourth Ga site, Ga(4) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form GaO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent W(1)O6 octahedra, corners with four equivalent Ga(2)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, and  an edgeedge with one Ga(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-56°. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one W(1), one Ga(1), and one Ga(3) atom to form a mixture of distorted corner and edge-sharing OMgGa2W trigonal pyramids. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one W(1), one Ga(2), and one Ga(4) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one W(2), one Ga(1), and one Ga(2) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one W(1), one Ga(3), and one Ga(4) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Mg(1), one W(2), one Ga(1), and one Ga(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one W(2), one Ga(2), and one Ga(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgGa4(WO6)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.748
_cell_length_b   4.771
_cell_length_c   9.182
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.887
_symmetry_Int_Tables_number   1
_cell_volume   207.944
_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  0.189  1.0
  Ga  Ga1  1  0.000  0.000  0.341  1.0
  Ga  Ga2  1  0.000  0.000  0.659  1.0
  Ga  Ga3  1  0.500  0.500  0.157  1.0
  Ga  Ga4  1  0.500  0.500  0.824  1.0
  W  W5  1  0.000  0.000  0.986  1.0
  W  W6  1  0.500  0.500  0.499  1.0
  O  O7  1  0.172  0.216  0.162  1.0
  O  O8  1  0.183  0.208  0.827  1.0
  O  O9  1  0.190  0.212  0.493  1.0
  O  O10  1  0.324  0.732  0.005  1.0
  O  O11  1  0.328  0.720  0.323  1.0
  O  O12  1  0.314  0.701  0.662  1.0
  O  O13  1  0.672  0.280  0.323  1.0
  O  O14  1  0.686  0.299  0.662  1.0
  O  O15  1  0.676  0.268  0.005  1.0
  O  O16  1  0.810  0.788  0.493  1.0
  O  O17  1  0.828  0.784  0.162  1.0
  O  O18  1  0.817  0.792  0.827  1.0
[/CIF]
.