The material structure described by Na4HfZnSi2SO12 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. Hf(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 HfO6 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. Zn(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 distorted ZnO6 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 Hf(1)O6 octahedra and corners with two equivalent Zn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 28-43°. 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 Hf(1)O6 octahedra and corners with two equivalent Zn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-40°. 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 Hf(1)O6 octahedra and corners with two equivalent Zn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 29-36°. 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 Zn(1), and one Si(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Na(1), one Zn(1), and one S(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Na(1), one Na(3), one Zn(1), and one Si(2) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to two equivalent Na(3), one Hf(1), and one Si(1) atom. In the fifth O site, O(5) is bonded in a 2-coordinate geometry to one Na(1), one Na(2), one Hf(1), and one Si(2) atom. In the sixth O site, O(6) is bonded in a distorted bent 150 degrees geometry to one Na(2), one Hf(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 Zn(1), and one Si(1) atom to form distorted ONa3ZnSi trigonal bipyramids that share  a cornercorner with one O(10)Na3HfSi trigonal bipyramid,  an edgeedge with one O(10)Na3HfSi trigonal bipyramid, and  a faceface with one O(8)Na3ZnSi trigonal bipyramid. In the eighth O site, O(8) is bonded to one Na(1), one Na(3), one Na(4), one Zn(1), and one Si(2) atom to form distorted ONa3ZnSi trigonal bipyramids that share corners with three equivalent O(10)Na3HfSi trigonal bipyramids and  a faceface with one O(7)Na3ZnSi 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 Zn(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 Hf(1), and one Si(1) atom to form a mixture of distorted corner and edge-sharing ONa3HfSi trigonal bipyramids. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Na(1), one Na(2), one Na(4), one Hf(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 Hf(1), and one Si(2) atom. is represented by the CIF card [CIF]
data_Na4HfZnSi2SO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.104
_cell_length_b   9.201
_cell_length_c   9.201
_cell_angle_alpha   60.016
_cell_angle_beta   60.525
_cell_angle_gamma   60.525
_symmetry_Int_Tables_number   1
_cell_volume   549.371
_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
  Hf  Hf0  1  0.359  0.334  0.363  1.0
  Hf  Hf1  1  0.859  0.863  0.834  1.0
  Na  Na2  1  0.772  0.364  0.101  1.0
  Na  Na3  1  0.106  0.773  0.395  1.0
  Na  Na4  1  0.378  0.133  0.770  1.0
  Na  Na5  1  0.878  0.270  0.633  1.0
  Na  Na6  1  0.606  0.895  0.273  1.0
  Na  Na7  1  0.272  0.601  0.864  1.0
  Na  Na8  1  0.493  0.502  0.526  1.0
  Na  Na9  1  0.993  0.026  0.002  1.0
  O  O10  1  0.717  0.873  0.474  1.0
  O  O11  1  0.480  0.709  0.894  1.0
  O  O12  1  0.870  0.478  0.718  1.0
  O  O13  1  0.370  0.218  0.978  1.0
  O  O14  1  0.980  0.394  0.209  1.0
  O  O15  1  0.217  0.974  0.373  1.0
  O  O16  1  0.275  0.130  0.512  1.0
  O  O17  1  0.504  0.286  0.132  1.0
  O  O18  1  0.116  0.517  0.276  1.0
  O  O19  1  0.616  0.776  0.017  1.0
  O  O20  1  0.004  0.632  0.786  1.0
  O  O21  1  0.775  0.012  0.630  1.0
  O  O22  1  0.420  0.767  0.577  1.0
  O  O23  1  0.577  0.413  0.768  1.0
  O  O24  1  0.791  0.569  0.396  1.0
  O  O25  1  0.291  0.896  0.069  1.0
  O  O26  1  0.077  0.268  0.913  1.0
  O  O27  1  0.920  0.077  0.267  1.0
  O  O28  1  0.576  0.230  0.433  1.0
  O  O29  1  0.437  0.586  0.214  1.0
  O  O30  1  0.223  0.449  0.563  1.0
  O  O31  1  0.723  0.063  0.949  1.0
  O  O32  1  0.937  0.714  0.086  1.0
  O  O33  1  0.076  0.933  0.730  1.0
  S  S34  1  0.456  0.744  0.045  1.0
  S  S35  1  0.956  0.545  0.244  1.0
  Si  Si36  1  0.752  0.042  0.446  1.0
  Si  Si37  1  0.042  0.454  0.748  1.0
  Si  Si38  1  0.542  0.248  0.954  1.0
  Si  Si39  1  0.252  0.946  0.542  1.0
  Zn  Zn40  1  0.655  0.651  0.650  1.0
  Zn  Zn41  1  0.155  0.150  0.151  1.0
[/CIF]
.
The material structure described by Na4HfZnSi2SO12 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. Hf(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 HfO6 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. Zn(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 distorted ZnO6 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 Hf(1)O6 octahedra and corners with two equivalent Zn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 28-43°. 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 Hf(1)O6 octahedra and corners with two equivalent Zn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-40°. 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 Hf(1)O6 octahedra and corners with two equivalent Zn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 29-36°. 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 Zn(1), and one Si(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Na(1), one Zn(1), and one S(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Na(1), one Na(3), one Zn(1), and one Si(2) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to two equivalent Na(3), one Hf(1), and one Si(1) atom. In the fifth O site, O(5) is bonded in a 2-coordinate geometry to one Na(1), one Na(2), one Hf(1), and one Si(2) atom. In the sixth O site, O(6) is bonded in a distorted bent 150 degrees geometry to one Na(2), one Hf(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 Zn(1), and one Si(1) atom to form distorted ONa3ZnSi trigonal bipyramids that share  a cornercorner with one O(10)Na3HfSi trigonal bipyramid,  an edgeedge with one O(10)Na3HfSi trigonal bipyramid, and  a faceface with one O(8)Na3ZnSi trigonal bipyramid. In the eighth O site, O(8) is bonded to one Na(1), one Na(3), one Na(4), one Zn(1), and one Si(2) atom to form distorted ONa3ZnSi trigonal bipyramids that share corners with three equivalent O(10)Na3HfSi trigonal bipyramids and  a faceface with one O(7)Na3ZnSi 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 Zn(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 Hf(1), and one Si(1) atom to form a mixture of distorted corner and edge-sharing ONa3HfSi trigonal bipyramids. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Na(1), one Na(2), one Na(4), one Hf(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 Hf(1), and one Si(2) atom. is represented by the CIF card [CIF]
data_Na4HfZnSi2SO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.104
_cell_length_b   9.201
_cell_length_c   9.201
_cell_angle_alpha   60.016
_cell_angle_beta   60.525
_cell_angle_gamma   60.525
_symmetry_Int_Tables_number   1
_cell_volume   549.371
_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
  Hf  Hf0  1  0.359  0.334  0.363  1.0
  Hf  Hf1  1  0.859  0.863  0.834  1.0
  Na  Na2  1  0.772  0.364  0.101  1.0
  Na  Na3  1  0.106  0.773  0.395  1.0
  Na  Na4  1  0.378  0.133  0.770  1.0
  Na  Na5  1  0.878  0.270  0.633  1.0
  Na  Na6  1  0.606  0.895  0.273  1.0
  Na  Na7  1  0.272  0.601  0.864  1.0
  Na  Na8  1  0.493  0.502  0.526  1.0
  Na  Na9  1  0.993  0.026  0.002  1.0
  O  O10  1  0.717  0.873  0.474  1.0
  O  O11  1  0.480  0.709  0.894  1.0
  O  O12  1  0.870  0.478  0.718  1.0
  O  O13  1  0.370  0.218  0.978  1.0
  O  O14  1  0.980  0.394  0.209  1.0
  O  O15  1  0.217  0.974  0.373  1.0
  O  O16  1  0.275  0.130  0.512  1.0
  O  O17  1  0.504  0.286  0.132  1.0
  O  O18  1  0.116  0.517  0.276  1.0
  O  O19  1  0.616  0.776  0.017  1.0
  O  O20  1  0.004  0.632  0.786  1.0
  O  O21  1  0.775  0.012  0.630  1.0
  O  O22  1  0.420  0.767  0.577  1.0
  O  O23  1  0.577  0.413  0.768  1.0
  O  O24  1  0.791  0.569  0.396  1.0
  O  O25  1  0.291  0.896  0.069  1.0
  O  O26  1  0.077  0.268  0.913  1.0
  O  O27  1  0.920  0.077  0.267  1.0
  O  O28  1  0.576  0.230  0.433  1.0
  O  O29  1  0.437  0.586  0.214  1.0
  O  O30  1  0.223  0.449  0.563  1.0
  O  O31  1  0.723  0.063  0.949  1.0
  O  O32  1  0.937  0.714  0.086  1.0
  O  O33  1  0.076  0.933  0.730  1.0
  S  S34  1  0.456  0.744  0.045  1.0
  S  S35  1  0.956  0.545  0.244  1.0
  Si  Si36  1  0.752  0.042  0.446  1.0
  Si  Si37  1  0.042  0.454  0.748  1.0
  Si  Si38  1  0.542  0.248  0.954  1.0
  Si  Si39  1  0.252  0.946  0.542  1.0
  Zn  Zn40  1  0.655  0.651  0.650  1.0
  Zn  Zn41  1  0.155  0.150  0.151  1.0
[/CIF]
.