The compound described by Na3Mg2(WO4)3 crystallizes in the monoclinic C2/c space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded in a 6-coordinate geometry to two equivalent O(2), two equivalent O(3), and two equivalent O(5) atoms. In the second Na site, Na(2) is bonded in a distorted hexagonal planar geometry to two equivalent O(4) and four equivalent O(3) atoms. In the third Na site, Na(3) is bonded to two equivalent O(5) and four equivalent O(6) atoms to form distorted NaO6 pentagonal pyramids that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent W(2)O4 tetrahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Na(3)O6 pentagonal pyramids, and  an edgeedge with one W(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. Mg(1) is bonded to one O(2), one O(4), one O(5), one O(6), and two equivalent O(1) atoms to form MgO6 octahedra that share  a cornercorner with one Na(3)O6 pentagonal pyramid, corners with two equivalent W(1)O4 tetrahedra, corners with four equivalent W(2)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra, and  an edgeedge with one Na(3)O6 pentagonal pyramid. There are two inequivalent W sites. In the first W site, W(1) is bonded to two equivalent O(4) and two equivalent O(5) atoms to form distorted WO4 tetrahedra that share corners with four equivalent Mg(1)O6 octahedra and  an edgeedge with one Na(3)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 60-65°. In the second W site, W(2) is bonded to one O(1), one O(2), one O(3), and one O(6) atom to form WO4 tetrahedra that share corners with four equivalent Mg(1)O6 octahedra and corners with two equivalent Na(3)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 39-64°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to two equivalent Mg(1) and one W(2) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Na(1), one Mg(1), and one W(2) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), two equivalent Na(2), and one W(2) atom. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Na(2), one Mg(1), and one W(1) atom. In the fifth O site, O(5) is bonded in a distorted see-saw-like geometry to one Na(1), one Na(3), one Mg(1), and one W(1) atom. In the sixth O site, O(6) is bonded to two equivalent Na(3), one Mg(1), and one W(2) atom to form a mixture of distorted edge and corner-sharing ONa2MgW trigonal pyramids. is represented by the CIF file [CIF]
data_Na3Mg2(WO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.177
_cell_length_b   9.177
_cell_length_c   7.267
_cell_angle_alpha   74.614
_cell_angle_beta   74.614
_cell_angle_gamma   95.680
_symmetry_Int_Tables_number   1
_cell_volume   559.369
_cell_formula_units_Z   2
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
  Na  Na0  1  0.235  0.765  0.250  1.0
  Na  Na1  1  0.765  0.235  0.750  1.0
  Na  Na2  1  0.000  0.000  0.000  1.0
  Na  Na3  1  0.000  0.000  0.500  1.0
  Na  Na4  1  0.530  0.470  0.250  1.0
  Na  Na5  1  0.470  0.530  0.750  1.0
  Mg  Mg6  1  0.555  0.867  0.373  1.0
  Mg  Mg7  1  0.445  0.133  0.627  1.0
  Mg  Mg8  1  0.133  0.445  0.127  1.0
  Mg  Mg9  1  0.867  0.555  0.873  1.0
  W  W10  1  0.780  0.220  0.250  1.0
  W  W11  1  0.220  0.780  0.750  1.0
  W  W12  1  0.386  0.158  0.125  1.0
  W  W13  1  0.614  0.842  0.875  1.0
  W  W14  1  0.842  0.614  0.375  1.0
  W  W15  1  0.158  0.386  0.625  1.0
  O  O16  1  0.459  0.095  0.341  1.0
  O  O17  1  0.541  0.905  0.659  1.0
  O  O18  1  0.905  0.541  0.159  1.0
  O  O19  1  0.095  0.459  0.841  1.0
  O  O20  1  0.501  0.852  0.118  1.0
  O  O21  1  0.499  0.148  0.882  1.0
  O  O22  1  0.148  0.499  0.382  1.0
  O  O23  1  0.852  0.501  0.618  1.0
  O  O24  1  0.206  0.033  0.195  1.0
  O  O25  1  0.794  0.967  0.805  1.0
  O  O26  1  0.967  0.794  0.305  1.0
  O  O27  1  0.033  0.206  0.695  1.0
  O  O28  1  0.758  0.021  0.225  1.0
  O  O29  1  0.242  0.979  0.775  1.0
  O  O30  1  0.979  0.242  0.275  1.0
  O  O31  1  0.021  0.758  0.725  1.0
  O  O32  1  0.659  0.276  0.469  1.0
  O  O33  1  0.341  0.724  0.531  1.0
  O  O34  1  0.724  0.341  0.031  1.0
  O  O35  1  0.276  0.659  0.969  1.0
  O  O36  1  0.648  0.659  0.404  1.0
  O  O37  1  0.352  0.341  0.596  1.0
  O  O38  1  0.341  0.352  0.096  1.0
  O  O39  1  0.659  0.648  0.904  1.0
[/CIF]
.
The compound described by Na3Mg2(WO4)3 crystallizes in the monoclinic C2/c space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded in a 6-coordinate geometry to two equivalent O(2), two equivalent O(3), and two equivalent O(5) atoms. In the second Na site, Na(2) is bonded in a distorted hexagonal planar geometry to two equivalent O(4) and four equivalent O(3) atoms. In the third Na site, Na(3) is bonded to two equivalent O(5) and four equivalent O(6) atoms to form distorted NaO6 pentagonal pyramids that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent W(2)O4 tetrahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Na(3)O6 pentagonal pyramids, and  an edgeedge with one W(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. Mg(1) is bonded to one O(2), one O(4), one O(5), one O(6), and two equivalent O(1) atoms to form MgO6 octahedra that share  a cornercorner with one Na(3)O6 pentagonal pyramid, corners with two equivalent W(1)O4 tetrahedra, corners with four equivalent W(2)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra, and  an edgeedge with one Na(3)O6 pentagonal pyramid. There are two inequivalent W sites. In the first W site, W(1) is bonded to two equivalent O(4) and two equivalent O(5) atoms to form distorted WO4 tetrahedra that share corners with four equivalent Mg(1)O6 octahedra and  an edgeedge with one Na(3)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 60-65°. In the second W site, W(2) is bonded to one O(1), one O(2), one O(3), and one O(6) atom to form WO4 tetrahedra that share corners with four equivalent Mg(1)O6 octahedra and corners with two equivalent Na(3)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 39-64°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to two equivalent Mg(1) and one W(2) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Na(1), one Mg(1), and one W(2) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), two equivalent Na(2), and one W(2) atom. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Na(2), one Mg(1), and one W(1) atom. In the fifth O site, O(5) is bonded in a distorted see-saw-like geometry to one Na(1), one Na(3), one Mg(1), and one W(1) atom. In the sixth O site, O(6) is bonded to two equivalent Na(3), one Mg(1), and one W(2) atom to form a mixture of distorted edge and corner-sharing ONa2MgW trigonal pyramids. is represented by the CIF file [CIF]
data_Na3Mg2(WO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.177
_cell_length_b   9.177
_cell_length_c   7.267
_cell_angle_alpha   74.614
_cell_angle_beta   74.614
_cell_angle_gamma   95.680
_symmetry_Int_Tables_number   1
_cell_volume   559.369
_cell_formula_units_Z   2
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
  Na  Na0  1  0.235  0.765  0.250  1.0
  Na  Na1  1  0.765  0.235  0.750  1.0
  Na  Na2  1  0.000  0.000  0.000  1.0
  Na  Na3  1  0.000  0.000  0.500  1.0
  Na  Na4  1  0.530  0.470  0.250  1.0
  Na  Na5  1  0.470  0.530  0.750  1.0
  Mg  Mg6  1  0.555  0.867  0.373  1.0
  Mg  Mg7  1  0.445  0.133  0.627  1.0
  Mg  Mg8  1  0.133  0.445  0.127  1.0
  Mg  Mg9  1  0.867  0.555  0.873  1.0
  W  W10  1  0.780  0.220  0.250  1.0
  W  W11  1  0.220  0.780  0.750  1.0
  W  W12  1  0.386  0.158  0.125  1.0
  W  W13  1  0.614  0.842  0.875  1.0
  W  W14  1  0.842  0.614  0.375  1.0
  W  W15  1  0.158  0.386  0.625  1.0
  O  O16  1  0.459  0.095  0.341  1.0
  O  O17  1  0.541  0.905  0.659  1.0
  O  O18  1  0.905  0.541  0.159  1.0
  O  O19  1  0.095  0.459  0.841  1.0
  O  O20  1  0.501  0.852  0.118  1.0
  O  O21  1  0.499  0.148  0.882  1.0
  O  O22  1  0.148  0.499  0.382  1.0
  O  O23  1  0.852  0.501  0.618  1.0
  O  O24  1  0.206  0.033  0.195  1.0
  O  O25  1  0.794  0.967  0.805  1.0
  O  O26  1  0.967  0.794  0.305  1.0
  O  O27  1  0.033  0.206  0.695  1.0
  O  O28  1  0.758  0.021  0.225  1.0
  O  O29  1  0.242  0.979  0.775  1.0
  O  O30  1  0.979  0.242  0.275  1.0
  O  O31  1  0.021  0.758  0.725  1.0
  O  O32  1  0.659  0.276  0.469  1.0
  O  O33  1  0.341  0.724  0.531  1.0
  O  O34  1  0.724  0.341  0.031  1.0
  O  O35  1  0.276  0.659  0.969  1.0
  O  O36  1  0.648  0.659  0.404  1.0
  O  O37  1  0.352  0.341  0.596  1.0
  O  O38  1  0.341  0.352  0.096  1.0
  O  O39  1  0.659  0.648  0.904  1.0
[/CIF]
.