The structure described by Na2MgW4O13 crystallizes in the triclinic P1 space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded in a 6-coordinate geometry to one O(13), one O(6), two equivalent O(12), and two equivalent O(7) atoms. In the second Na site, Na(2) is bonded in a 6-coordinate geometry to one O(7), one O(9), two equivalent O(6), and two equivalent O(8) atoms. Mg(1) is bonded in a distorted rectangular see-saw-like geometry to one O(3), one O(4), and two equivalent O(5) atoms. There are four inequivalent W sites. In the first W site, W(1) is bonded to one O(1), one O(13), one O(5), one O(6), and two equivalent O(3) atoms to form a mixture of distorted corner and edge-sharing WO6 octahedra. The corner-sharing octahedral tilt angles range from 16-21°. In the second W site, W(2) is bonded to one O(11), one O(5), one O(7), one O(9), and two equivalent O(4) atoms to form a mixture of distorted corner and edge-sharing WO6 octahedra. The corner-sharing octahedral tilt angles range from 16-25°. In the third W site, W(3) is bonded to one O(1), one O(11), one O(13), one O(8), and two equivalent O(10) atoms to form a mixture of distorted corner and edge-sharing WO6 octahedra. The corner-sharing octahedral tilt angles range from 6-25°. In the fourth W site, W(4) is bonded to one O(1), one O(11), one O(12), one O(9), and two equivalent O(2) atoms to form a mixture of distorted corner and edge-sharing WO6 octahedra. The corner-sharing octahedral tilt angles range from 6-21°. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one W(1), one W(3), and one W(4) atom. In the second O site, O(2) is bonded in a linear geometry to two equivalent W(4) atoms. In the third O site, O(3) is bonded in a T-shaped geometry to one Mg(1) and two equivalent W(1) atoms. In the fourth O site, O(4) is bonded in a T-shaped geometry to one Mg(1) and two equivalent W(2) atoms. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to two equivalent Mg(1), one W(1), and one W(2) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Na(1), two equivalent Na(2), and one W(1) atom. In the seventh O site, O(7) is bonded to one Na(2), two equivalent Na(1), and one W(2) atom to form distorted corner-sharing ONa3W tetrahedra. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to two equivalent Na(2) and one W(3) atom. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Na(2), one W(2), and one W(4) atom. In the tenth O site, O(10) is bonded in a linear geometry to two equivalent W(3) atoms. In the eleventh O site, O(11) is bonded in a distorted T-shaped geometry to one W(2), one W(3), and one W(4) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to two equivalent Na(1) and one W(4) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one Na(1), one W(1), and one W(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na2MgW4O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.949
_cell_length_b   8.507
_cell_length_c   9.038
_cell_angle_alpha   97.653
_cell_angle_beta   102.306
_cell_angle_gamma   90.609
_symmetry_Int_Tables_number   1
_cell_volume   293.801
_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
  Na  Na0  1  0.715  0.695  0.422  1.0
  Na  Na1  1  0.271  0.322  0.550  1.0
  Mg  Mg2  1  0.469  0.425  0.944  1.0
  W  W3  1  0.907  0.635  0.810  1.0
  W  W4  1  0.087  0.355  0.182  1.0
  W  W5  1  0.874  0.022  0.811  1.0
  W  W6  1  0.129  0.967  0.183  1.0
  O  O7  1  0.989  0.837  0.979  1.0
  O  O8  1  0.595  0.971  0.172  1.0
  O  O9  1  0.423  0.618  0.845  1.0
  O  O10  1  0.567  0.353  0.142  1.0
  O  O11  1  0.985  0.465  0.974  1.0
  O  O12  1  0.817  0.496  0.636  1.0
  O  O13  1  0.169  0.506  0.345  1.0
  O  O14  1  0.849  0.172  0.688  1.0
  O  O15  1  0.157  0.171  0.308  1.0
  O  O16  1  0.405  0.020  0.823  1.0
  O  O17  1  0.009  0.143  0.017  1.0
  O  O18  1  0.158  0.832  0.320  1.0
  O  O19  1  0.841  0.822  0.685  1.0
[/CIF]
.
The structure described by Na2MgW4O13 crystallizes in the triclinic P1 space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded in a 6-coordinate geometry to one O(13), one O(6), two equivalent O(12), and two equivalent O(7) atoms. In the second Na site, Na(2) is bonded in a 6-coordinate geometry to one O(7), one O(9), two equivalent O(6), and two equivalent O(8) atoms. Mg(1) is bonded in a distorted rectangular see-saw-like geometry to one O(3), one O(4), and two equivalent O(5) atoms. There are four inequivalent W sites. In the first W site, W(1) is bonded to one O(1), one O(13), one O(5), one O(6), and two equivalent O(3) atoms to form a mixture of distorted corner and edge-sharing WO6 octahedra. The corner-sharing octahedral tilt angles range from 16-21°. In the second W site, W(2) is bonded to one O(11), one O(5), one O(7), one O(9), and two equivalent O(4) atoms to form a mixture of distorted corner and edge-sharing WO6 octahedra. The corner-sharing octahedral tilt angles range from 16-25°. In the third W site, W(3) is bonded to one O(1), one O(11), one O(13), one O(8), and two equivalent O(10) atoms to form a mixture of distorted corner and edge-sharing WO6 octahedra. The corner-sharing octahedral tilt angles range from 6-25°. In the fourth W site, W(4) is bonded to one O(1), one O(11), one O(12), one O(9), and two equivalent O(2) atoms to form a mixture of distorted corner and edge-sharing WO6 octahedra. The corner-sharing octahedral tilt angles range from 6-21°. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one W(1), one W(3), and one W(4) atom. In the second O site, O(2) is bonded in a linear geometry to two equivalent W(4) atoms. In the third O site, O(3) is bonded in a T-shaped geometry to one Mg(1) and two equivalent W(1) atoms. In the fourth O site, O(4) is bonded in a T-shaped geometry to one Mg(1) and two equivalent W(2) atoms. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to two equivalent Mg(1), one W(1), and one W(2) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Na(1), two equivalent Na(2), and one W(1) atom. In the seventh O site, O(7) is bonded to one Na(2), two equivalent Na(1), and one W(2) atom to form distorted corner-sharing ONa3W tetrahedra. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to two equivalent Na(2) and one W(3) atom. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Na(2), one W(2), and one W(4) atom. In the tenth O site, O(10) is bonded in a linear geometry to two equivalent W(3) atoms. In the eleventh O site, O(11) is bonded in a distorted T-shaped geometry to one W(2), one W(3), and one W(4) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to two equivalent Na(1) and one W(4) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one Na(1), one W(1), and one W(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na2MgW4O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.949
_cell_length_b   8.507
_cell_length_c   9.038
_cell_angle_alpha   97.653
_cell_angle_beta   102.306
_cell_angle_gamma   90.609
_symmetry_Int_Tables_number   1
_cell_volume   293.801
_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
  Na  Na0  1  0.715  0.695  0.422  1.0
  Na  Na1  1  0.271  0.322  0.550  1.0
  Mg  Mg2  1  0.469  0.425  0.944  1.0
  W  W3  1  0.907  0.635  0.810  1.0
  W  W4  1  0.087  0.355  0.182  1.0
  W  W5  1  0.874  0.022  0.811  1.0
  W  W6  1  0.129  0.967  0.183  1.0
  O  O7  1  0.989  0.837  0.979  1.0
  O  O8  1  0.595  0.971  0.172  1.0
  O  O9  1  0.423  0.618  0.845  1.0
  O  O10  1  0.567  0.353  0.142  1.0
  O  O11  1  0.985  0.465  0.974  1.0
  O  O12  1  0.817  0.496  0.636  1.0
  O  O13  1  0.169  0.506  0.345  1.0
  O  O14  1  0.849  0.172  0.688  1.0
  O  O15  1  0.157  0.171  0.308  1.0
  O  O16  1  0.405  0.020  0.823  1.0
  O  O17  1  0.009  0.143  0.017  1.0
  O  O18  1  0.158  0.832  0.320  1.0
  O  O19  1  0.841  0.822  0.685  1.0
[/CIF]
.