The crystal structure described by Na4MgSnSi2SO12 crystallizes in the monoclinic Cc space group. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(2), one O(3), one O(5), one O(7), and one O(8) atom. In the second Na site, Na(2) is bonded in a 8-coordinate geometry to one O(11), one O(12), one O(5), one O(6), one O(7), one O(9), and two equivalent O(1) atoms. In the third Na site, Na(3) is bonded in a 7-coordinate geometry to one O(10), one O(12), one O(3), one O(8), one O(9), and two equivalent O(4) atoms. In the fourth Na site, Na(4) is bonded in a 6-coordinate geometry to one O(10), one O(11), one O(12), one O(7), one O(8), and one O(9) atom. Mg(1) is bonded to one O(1), one O(2), one O(3), one O(7), one O(8), and one O(9) atom to form MgO6 octahedra that share corners with two equivalent Si(1)O4 tetrahedra, corners with two equivalent Si(2)O4 tetrahedra, and corners with two equivalent S(1)O4 tetrahedra. Sn(1) is bonded to one O(10), one O(11), one O(12), one O(4), one O(5), and one O(6) atom to form distorted SnO6 octahedra that share corners with two equivalent Si(1)O4 tetrahedra, corners with two equivalent Si(2)O4 tetrahedra, and corners with two equivalent S(1)O4 tetrahedra. There are two inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(1), one O(10), one O(4), and one O(7) atom to form SiO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 29-46°. In the second Si site, Si(2) is bonded to one O(12), one O(3), one O(5), and one O(8) atom to form SiO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 29-44°. S(1) is bonded to one O(11), one O(2), one O(6), and one O(9) atom to form SO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-35°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to two equivalent Na(2), one Mg(1), and one Si(1) atom. In the second O site, O(2) is bonded in a 2-coordinate geometry to one Na(1), one Mg(1), and one S(1) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Na(1), one Na(3), one Mg(1), and one Si(2) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to two equivalent Na(3), one Sn(1), and one Si(1) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Na(1), one Na(2), one Sn(1), and one Si(2) atom. In the sixth O site, O(6) is bonded in a 1-coordinate geometry to one Na(2), one Sn(1), and one S(1) atom. In the seventh O site, O(7) is bonded to one Na(1), one Na(2), one Na(4), one Mg(1), and one Si(1) atom to form distorted ONa3MgSi trigonal bipyramids that share  a cornercorner with one O(10)Na3SiSn trigonal bipyramid,  an edgeedge with one O(10)Na3SiSn trigonal bipyramid, and  a faceface with one O(8)Na3MgSi trigonal bipyramid. In the eighth O site, O(8) is bonded to one Na(1), one Na(3), one Na(4), one Mg(1), and one Si(2) atom to form distorted ONa3MgSi trigonal bipyramids that share corners with three equivalent O(10)Na3SiSn trigonal bipyramids and  a faceface with one O(7)Na3MgSi trigonal bipyramid. In the ninth O site, O(9) is bonded in a 5-coordinate geometry to one Na(2), one Na(3), one Na(4), one Mg(1), and one S(1) atom. In the tenth O site, O(10) is bonded to one Na(1), one Na(3), one Na(4), one Sn(1), and one Si(1) atom to form a mixture of distorted corner and edge-sharing ONa3SiSn trigonal bipyramids. In the eleventh O site, O(11) is bonded in a distorted single-bond geometry to one Na(1), one Na(2), one Na(4), one Sn(1), and one S(1) atom. In the twelfth O site, O(12) is bonded in a 5-coordinate geometry to one Na(2), one Na(3), one Na(4), one Sn(1), and one Si(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na4MgSi2SnSO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.095
_cell_length_b   9.095
_cell_length_c   9.106
_cell_angle_alpha   91.033
_cell_angle_beta   119.430
_cell_angle_gamma   119.340
_symmetry_Int_Tables_number   1
_cell_volume   537.674
_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
  Mg  Mg0  1  0.299  0.648  0.946  1.0
  Mg  Mg1  1  0.298  0.147  0.446  1.0
  Na  Na2  1  0.129  0.365  0.236  1.0
  Na  Na3  1  0.874  0.767  0.267  1.0
  Na  Na4  1  0.511  0.128  0.270  1.0
  Na  Na5  1  0.141  0.259  0.770  1.0
  Na  Na6  1  0.500  0.894  0.767  1.0
  Na  Na7  1  0.872  0.607  0.736  1.0
  Na  Na8  1  0.992  0.498  0.513  1.0
  Na  Na9  1  0.015  0.021  0.013  1.0
  O  O10  1  0.588  0.870  0.069  1.0
  O  O11  1  0.204  0.716  0.088  1.0
  O  O12  1  0.350  0.484  0.070  1.0
  O  O13  1  0.586  0.220  0.570  1.0
  O  O14  1  0.372  0.384  0.588  1.0
  O  O15  1  0.199  0.980  0.569  1.0
  O  O16  1  0.389  0.130  0.924  1.0
  O  O17  1  0.797  0.277  0.929  1.0
  O  O18  1  0.644  0.524  0.913  1.0
  O  O19  1  0.388  0.769  0.413  1.0
  O  O20  1  0.652  0.632  0.429  1.0
  O  O21  1  0.794  0.035  0.424  1.0
  O  O22  1  0.192  0.768  0.764  1.0
  O  O23  1  0.991  0.414  0.762  1.0
  O  O24  1  0.359  0.565  0.766  1.0
  O  O25  1  0.200  0.906  0.266  1.0
  O  O26  1  0.348  0.271  0.262  1.0
  O  O27  1  0.997  0.072  0.264  1.0
  O  O28  1  0.814  0.238  0.242  1.0
  O  O29  1  0.023  0.591  0.234  1.0
  O  O30  1  0.675  0.450  0.234  1.0
  O  O31  1  0.784  0.059  0.734  1.0
  O  O32  1  0.643  0.710  0.734  1.0
  O  O33  1  0.004  0.929  0.742  1.0
  S  S34  1  0.204  0.747  0.247  1.0
  S  S35  1  0.500  0.543  0.747  1.0
  Si  Si36  1  0.794  0.044  0.240  1.0
  Si  Si37  1  0.492  0.452  0.239  1.0
  Si  Si38  1  0.787  0.248  0.739  1.0
  Si  Si39  1  0.196  0.946  0.740  1.0
  Sn  Sn40  1  0.684  0.329  0.048  1.0
  Sn  Sn41  1  0.720  0.864  0.548  1.0
[/CIF]
.
The crystal structure described by Na4MgSnSi2SO12 crystallizes in the monoclinic Cc space group. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(2), one O(3), one O(5), one O(7), and one O(8) atom. In the second Na site, Na(2) is bonded in a 8-coordinate geometry to one O(11), one O(12), one O(5), one O(6), one O(7), one O(9), and two equivalent O(1) atoms. In the third Na site, Na(3) is bonded in a 7-coordinate geometry to one O(10), one O(12), one O(3), one O(8), one O(9), and two equivalent O(4) atoms. In the fourth Na site, Na(4) is bonded in a 6-coordinate geometry to one O(10), one O(11), one O(12), one O(7), one O(8), and one O(9) atom. Mg(1) is bonded to one O(1), one O(2), one O(3), one O(7), one O(8), and one O(9) atom to form MgO6 octahedra that share corners with two equivalent Si(1)O4 tetrahedra, corners with two equivalent Si(2)O4 tetrahedra, and corners with two equivalent S(1)O4 tetrahedra. Sn(1) is bonded to one O(10), one O(11), one O(12), one O(4), one O(5), and one O(6) atom to form distorted SnO6 octahedra that share corners with two equivalent Si(1)O4 tetrahedra, corners with two equivalent Si(2)O4 tetrahedra, and corners with two equivalent S(1)O4 tetrahedra. There are two inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(1), one O(10), one O(4), and one O(7) atom to form SiO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 29-46°. In the second Si site, Si(2) is bonded to one O(12), one O(3), one O(5), and one O(8) atom to form SiO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 29-44°. S(1) is bonded to one O(11), one O(2), one O(6), and one O(9) atom to form SO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-35°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to two equivalent Na(2), one Mg(1), and one Si(1) atom. In the second O site, O(2) is bonded in a 2-coordinate geometry to one Na(1), one Mg(1), and one S(1) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Na(1), one Na(3), one Mg(1), and one Si(2) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to two equivalent Na(3), one Sn(1), and one Si(1) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Na(1), one Na(2), one Sn(1), and one Si(2) atom. In the sixth O site, O(6) is bonded in a 1-coordinate geometry to one Na(2), one Sn(1), and one S(1) atom. In the seventh O site, O(7) is bonded to one Na(1), one Na(2), one Na(4), one Mg(1), and one Si(1) atom to form distorted ONa3MgSi trigonal bipyramids that share  a cornercorner with one O(10)Na3SiSn trigonal bipyramid,  an edgeedge with one O(10)Na3SiSn trigonal bipyramid, and  a faceface with one O(8)Na3MgSi trigonal bipyramid. In the eighth O site, O(8) is bonded to one Na(1), one Na(3), one Na(4), one Mg(1), and one Si(2) atom to form distorted ONa3MgSi trigonal bipyramids that share corners with three equivalent O(10)Na3SiSn trigonal bipyramids and  a faceface with one O(7)Na3MgSi trigonal bipyramid. In the ninth O site, O(9) is bonded in a 5-coordinate geometry to one Na(2), one Na(3), one Na(4), one Mg(1), and one S(1) atom. In the tenth O site, O(10) is bonded to one Na(1), one Na(3), one Na(4), one Sn(1), and one Si(1) atom to form a mixture of distorted corner and edge-sharing ONa3SiSn trigonal bipyramids. In the eleventh O site, O(11) is bonded in a distorted single-bond geometry to one Na(1), one Na(2), one Na(4), one Sn(1), and one S(1) atom. In the twelfth O site, O(12) is bonded in a 5-coordinate geometry to one Na(2), one Na(3), one Na(4), one Sn(1), and one Si(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na4MgSi2SnSO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.095
_cell_length_b   9.095
_cell_length_c   9.106
_cell_angle_alpha   91.033
_cell_angle_beta   119.430
_cell_angle_gamma   119.340
_symmetry_Int_Tables_number   1
_cell_volume   537.674
_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
  Mg  Mg0  1  0.299  0.648  0.946  1.0
  Mg  Mg1  1  0.298  0.147  0.446  1.0
  Na  Na2  1  0.129  0.365  0.236  1.0
  Na  Na3  1  0.874  0.767  0.267  1.0
  Na  Na4  1  0.511  0.128  0.270  1.0
  Na  Na5  1  0.141  0.259  0.770  1.0
  Na  Na6  1  0.500  0.894  0.767  1.0
  Na  Na7  1  0.872  0.607  0.736  1.0
  Na  Na8  1  0.992  0.498  0.513  1.0
  Na  Na9  1  0.015  0.021  0.013  1.0
  O  O10  1  0.588  0.870  0.069  1.0
  O  O11  1  0.204  0.716  0.088  1.0
  O  O12  1  0.350  0.484  0.070  1.0
  O  O13  1  0.586  0.220  0.570  1.0
  O  O14  1  0.372  0.384  0.588  1.0
  O  O15  1  0.199  0.980  0.569  1.0
  O  O16  1  0.389  0.130  0.924  1.0
  O  O17  1  0.797  0.277  0.929  1.0
  O  O18  1  0.644  0.524  0.913  1.0
  O  O19  1  0.388  0.769  0.413  1.0
  O  O20  1  0.652  0.632  0.429  1.0
  O  O21  1  0.794  0.035  0.424  1.0
  O  O22  1  0.192  0.768  0.764  1.0
  O  O23  1  0.991  0.414  0.762  1.0
  O  O24  1  0.359  0.565  0.766  1.0
  O  O25  1  0.200  0.906  0.266  1.0
  O  O26  1  0.348  0.271  0.262  1.0
  O  O27  1  0.997  0.072  0.264  1.0
  O  O28  1  0.814  0.238  0.242  1.0
  O  O29  1  0.023  0.591  0.234  1.0
  O  O30  1  0.675  0.450  0.234  1.0
  O  O31  1  0.784  0.059  0.734  1.0
  O  O32  1  0.643  0.710  0.734  1.0
  O  O33  1  0.004  0.929  0.742  1.0
  S  S34  1  0.204  0.747  0.247  1.0
  S  S35  1  0.500  0.543  0.747  1.0
  Si  Si36  1  0.794  0.044  0.240  1.0
  Si  Si37  1  0.492  0.452  0.239  1.0
  Si  Si38  1  0.787  0.248  0.739  1.0
  Si  Si39  1  0.196  0.946  0.740  1.0
  Sn  Sn40  1  0.684  0.329  0.048  1.0
  Sn  Sn41  1  0.720  0.864  0.548  1.0
[/CIF]
.