The compound described by Na2Zn3(SiO4)2 crystallizes in the triclinic P1 space group. There are six inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(11), one O(16), one O(20), one O(21), one O(22), and one O(8) atom to form distorted NaO6 octahedra that share  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Si(3)O4 tetrahedra, corners with two equivalent Si(5)O4 tetrahedra,  an edgeedge with one Zn(1)O4 tetrahedra, and  an edgeedge with one Zn(4)O4 tetrahedra. In the second Na site, Na(2) is bonded in a distorted see-saw-like geometry to one O(12), one O(16), one O(20), and one O(24) atom. In the third Na site, Na(3) is bonded in a 5-coordinate geometry to one O(12), one O(17), one O(19), one O(24), and one O(7) atom. In the fourth Na site, Na(4) is bonded to one O(17), one O(19), one O(23), and one O(7) atom to form NaO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(6)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, and corners with two equivalent Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 89°. In the fifth Na site, Na(5) is bonded to one O(10), one O(13), one O(15), one O(18), one O(2), and one O(23) atom to form NaO6 octahedra that share  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Si(2)O4 tetrahedra, corners with two equivalent Si(3)O4 tetrahedra,  an edgeedge with one Zn(3)O4 tetrahedra,  an edgeedge with one Zn(7)O4 tetrahedra, and  an edgeedge with one Zn(9)O4 tetrahedra. In the sixth Na site, Na(6) is bonded in a distorted see-saw-like geometry to one O(11), one O(13), one O(2), and one O(8) atom. There are nine inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(11), one O(21), one O(6), and one O(8) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(6)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, corners with two equivalent Si(1)O4 tetrahedra, and  an edgeedge with one Na(1)O6 octahedra. The corner-sharing octahedral tilt angles are 78°. In the second Zn site, Zn(2) is bonded to one O(14), one O(19), one O(21), and one O(7) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, and corners with two equivalent Si(5)O4 tetrahedra. The corner-sharing octahedral tilt angles are 86°. In the third Zn site, Zn(3) is bonded to one O(10), one O(18), one O(22), and one O(9) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Zn(9)O4 tetrahedra, corners with two equivalent Si(3)O4 tetrahedra, and  an edgeedge with one Na(5)O6 octahedra. The corner-sharing octahedral tilt angles are 84°. In the fourth Zn site, Zn(4) is bonded to one O(16), one O(20), one O(22), and one O(4) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, corners with two equivalent Si(6)O4 tetrahedra, and  an edgeedge with one Na(1)O6 octahedra. The corner-sharing octahedral tilt angles are 79°. In the fifth Zn site, Zn(5) is bonded to one O(1), one O(14), one O(3), and one O(5) atom to form ZnO4 tetrahedra that share  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra, corners with two equivalent Zn(8)O4 tetrahedra, and corners with two equivalent Si(4)O4 tetrahedra. In the sixth Zn site, Zn(6) is bonded to one O(12), one O(17), one O(24), and one O(6) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, and corners with two equivalent Si(1)O4 tetrahedra. In the seventh Zn site, Zn(7) is bonded to one O(13), one O(15), one O(2), and one O(4) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra, corners with two equivalent Si(6)O4 tetrahedra, and  an edgeedge with one Na(5)O6 octahedra. The corner-sharing octahedral tilt angles are 78°. In the eighth Zn site, Zn(8) is bonded to one O(1), one O(15), one O(5), and one O(9) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra, and corners with two equivalent Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 83°. In the ninth Zn site, Zn(9) is bonded to one O(10), one O(18), one O(23), and one O(3) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra, corners with two equivalent Zn(3)O4 tetrahedra, corners with two equivalent Si(4)O4 tetrahedra, and  an edgeedge with one Na(5)O6 octahedra. The corner-sharing octahedral tilt angles are 79°. There are six inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(11), one O(14), one O(24), and one O(6) atom to form SiO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra, corners with two equivalent Zn(1)O4 tetrahedra, and corners with two equivalent Zn(6)O4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. In the second Si site, Si(2) is bonded to one O(15), one O(19), one O(23), and one O(5) atom to form SiO4 tetrahedra that share corners with two equivalent Na(5)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, and corners with two equivalent Zn(8)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the third Si site, Si(3) is bonded to one O(10), one O(13), one O(22), and one O(8) atom to form SiO4 tetrahedra that share corners with two equivalent Na(1)O6 octahedra, corners with two equivalent Na(5)O6 octahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra, and corners with two equivalent Zn(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-65°. In the fourth Si site, Si(4) is bonded to one O(1), one O(17), one O(18), and one O(3) atom to form SiO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(6)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra, and corners with two equivalent Zn(9)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. In the fifth Si site, Si(5) is bonded to one O(12), one O(20), one O(21), and one O(7) atom to form SiO4 tetrahedra that share corners with two equivalent Na(1)O6 octahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(6)O4 tetrahedra, and corners with two equivalent Zn(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-65°. In the sixth Si site, Si(6) is bonded to one O(16), one O(2), one O(4), and one O(9) atom to form SiO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra, and corners with two equivalent Zn(7)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-55°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Zn(5), one Zn(8), and one Si(4) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Na(5), one Na(6), one Zn(7), and one Si(6) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Zn(5), one Zn(9), and one Si(4) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Zn(4), one Zn(7), and one Si(6) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Zn(5), one Zn(8), and one Si(2) atom. In the sixth O site, O(6) is bonded in a trigonal planar geometry to one Zn(1), one Zn(6), and one Si(1) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Na(3), one Na(4), one Zn(2), and one Si(5) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(6), one Zn(1), and one Si(3) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Zn(3), one Zn(8), and one Si(6) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Na(5), one Zn(3), one Zn(9), and one Si(3) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Na(1), one Na(6), one Zn(1), and one Si(1) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Na(2), one Na(3), one Zn(6), and one Si(5) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Na(5), one Na(6), one Zn(7), and one Si(3) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Zn(2), one Zn(5), and one Si(1) atom. In the fifteenth O site, O(15) is bonded to one Na(5), one Zn(7), one Zn(8), and one Si(2) atom to form distorted corner-sharing ONaZn2Si tetrahedra. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Na(1), one Na(2), one Zn(4), and one Si(6) atom. In the seventeenth O site, O(17) is bonded in a 4-coordinate geometry to one Na(3), one Na(4), one Zn(6), and one Si(4) atom. In the eighteenth O site, O(18) is bonded to one Na(5), one Zn(3), one Zn(9), and one Si(4) atom to form distorted corner-sharing ONaZn2Si tetrahedra. In the nineteenth O site, O(19) is bonded in a 4-coordinate geometry to one Na(3), one Na(4), one Zn(2), and one Si(2) atom. In the twentieth O site, O(20) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(2), one Zn(4), and one Si(5) atom. In the twenty-first O site, O(21) is bonded in a distorted tetrahedral geometry to one Na(1), one Zn(1), one Zn(2), and one Si(5) atom. In the twenty-second O site, O(22) is bonded in a 4-coordinate geometry to one Na(1), one Zn(3), one Zn(4), and one Si(3) atom. In the twenty-third O site, O(23) is bonded in a 4-coordinate geometry to one Na(4), one Na(5), one Zn(9), and one Si(2) atom. In the twenty-fourth O site, O(24) is bonded in a distorted tetrahedral geometry to one Na(2), one Na(3), one Zn(6), and one Si(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na2Zn3(SiO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.190
_cell_length_b   8.938
_cell_length_c   13.613
_cell_angle_alpha   107.928
_cell_angle_beta   100.350
_cell_angle_gamma   88.948
_symmetry_Int_Tables_number   1
_cell_volume   590.552
_cell_formula_units_Z   3
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  0.568  0.593  0.234  1.0
  Na  Na1  1  0.594  0.962  0.309  1.0
  Na  Na2  1  0.725  0.071  0.556  1.0
  Na  Na3  1  0.285  0.977  0.639  1.0
  Na  Na4  1  0.404  0.123  0.904  1.0
  Na  Na5  1  0.521  0.221  0.155  1.0
  Zn  Zn6  1  0.061  0.441  0.318  1.0
  Zn  Zn7  1  0.733  0.711  0.503  1.0
  Zn  Zn8  1  0.388  0.485  0.961  1.0
  Zn  Zn9  1  0.069  0.750  0.146  1.0
  Zn  Zn10  1  0.725  0.537  0.671  1.0
  Zn  Zn11  1  0.134  0.184  0.462  1.0
  Zn  Zn12  1  0.998  0.000  0.999  1.0
  Zn  Zn13  1  0.310  0.731  0.809  1.0
  Zn  Zn14  1  0.807  0.283  0.821  1.0
  Si  Si15  1  0.606  0.351  0.415  1.0
  Si  Si16  1  0.815  0.897  0.749  1.0
  Si  Si17  1  0.970  0.375  0.063  1.0
  Si  Si18  1  0.245  0.366  0.718  1.0
  Si  Si19  1  0.162  0.812  0.397  1.0
  Si  Si20  1  0.521  0.842  0.050  1.0
  O  O21  1  0.113  0.535  0.716  1.0
  O  O22  1  0.642  0.991  0.024  1.0
  O  O23  1  0.568  0.388  0.731  1.0
  O  O24  1  0.240  0.900  0.090  1.0
  O  O25  1  0.606  0.754  0.742  1.0
  O  O26  1  0.897  0.301  0.381  1.0
  O  O27  1  0.427  0.843  0.489  1.0
  O  O28  1  0.858  0.404  0.172  1.0
  O  O29  1  0.460  0.688  0.943  1.0
  O  O30  1  0.712  0.359  0.966  1.0
  O  O31  1  0.429  0.394  0.315  1.0
  O  O32  1  0.982  0.967  0.421  1.0
  O  O33  1  0.140  0.217  0.032  1.0
  O  O34  1  0.639  0.507  0.521  1.0
  O  O35  1  0.070  0.911  0.847  1.0
  O  O36  1  0.700  0.790  0.146  1.0
  O  O37  1  0.122  0.221  0.615  1.0
  O  O38  1  0.185  0.328  0.825  1.0
  O  O39  1  0.922  0.854  0.639  1.0
  O  O40  1  0.267  0.774  0.285  1.0
  O  O41  1  0.963  0.662  0.392  1.0
  O  O42  1  0.170  0.525  0.071  1.0
  O  O43  1  0.662  0.064  0.771  1.0
  O  O44  1  0.490  0.197  0.437  1.0
[/CIF]
.
The compound described by Na2Zn3(SiO4)2 crystallizes in the triclinic P1 space group. There are six inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(11), one O(16), one O(20), one O(21), one O(22), and one O(8) atom to form distorted NaO6 octahedra that share  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Si(3)O4 tetrahedra, corners with two equivalent Si(5)O4 tetrahedra,  an edgeedge with one Zn(1)O4 tetrahedra, and  an edgeedge with one Zn(4)O4 tetrahedra. In the second Na site, Na(2) is bonded in a distorted see-saw-like geometry to one O(12), one O(16), one O(20), and one O(24) atom. In the third Na site, Na(3) is bonded in a 5-coordinate geometry to one O(12), one O(17), one O(19), one O(24), and one O(7) atom. In the fourth Na site, Na(4) is bonded to one O(17), one O(19), one O(23), and one O(7) atom to form NaO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(6)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, and corners with two equivalent Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 89°. In the fifth Na site, Na(5) is bonded to one O(10), one O(13), one O(15), one O(18), one O(2), and one O(23) atom to form NaO6 octahedra that share  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Si(2)O4 tetrahedra, corners with two equivalent Si(3)O4 tetrahedra,  an edgeedge with one Zn(3)O4 tetrahedra,  an edgeedge with one Zn(7)O4 tetrahedra, and  an edgeedge with one Zn(9)O4 tetrahedra. In the sixth Na site, Na(6) is bonded in a distorted see-saw-like geometry to one O(11), one O(13), one O(2), and one O(8) atom. There are nine inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(11), one O(21), one O(6), and one O(8) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(6)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, corners with two equivalent Si(1)O4 tetrahedra, and  an edgeedge with one Na(1)O6 octahedra. The corner-sharing octahedral tilt angles are 78°. In the second Zn site, Zn(2) is bonded to one O(14), one O(19), one O(21), and one O(7) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, and corners with two equivalent Si(5)O4 tetrahedra. The corner-sharing octahedral tilt angles are 86°. In the third Zn site, Zn(3) is bonded to one O(10), one O(18), one O(22), and one O(9) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Zn(9)O4 tetrahedra, corners with two equivalent Si(3)O4 tetrahedra, and  an edgeedge with one Na(5)O6 octahedra. The corner-sharing octahedral tilt angles are 84°. In the fourth Zn site, Zn(4) is bonded to one O(16), one O(20), one O(22), and one O(4) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, corners with two equivalent Si(6)O4 tetrahedra, and  an edgeedge with one Na(1)O6 octahedra. The corner-sharing octahedral tilt angles are 79°. In the fifth Zn site, Zn(5) is bonded to one O(1), one O(14), one O(3), and one O(5) atom to form ZnO4 tetrahedra that share  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra, corners with two equivalent Zn(8)O4 tetrahedra, and corners with two equivalent Si(4)O4 tetrahedra. In the sixth Zn site, Zn(6) is bonded to one O(12), one O(17), one O(24), and one O(6) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(5)O4 tetrahedra, and corners with two equivalent Si(1)O4 tetrahedra. In the seventh Zn site, Zn(7) is bonded to one O(13), one O(15), one O(2), and one O(4) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra, corners with two equivalent Si(6)O4 tetrahedra, and  an edgeedge with one Na(5)O6 octahedra. The corner-sharing octahedral tilt angles are 78°. In the eighth Zn site, Zn(8) is bonded to one O(1), one O(15), one O(5), and one O(9) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Si(4)O4 tetrahedra,  a cornercorner with one Si(6)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra, and corners with two equivalent Si(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 83°. In the ninth Zn site, Zn(9) is bonded to one O(10), one O(18), one O(23), and one O(3) atom to form ZnO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra, corners with two equivalent Zn(3)O4 tetrahedra, corners with two equivalent Si(4)O4 tetrahedra, and  an edgeedge with one Na(5)O6 octahedra. The corner-sharing octahedral tilt angles are 79°. There are six inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(11), one O(14), one O(24), and one O(6) atom to form SiO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra, corners with two equivalent Zn(1)O4 tetrahedra, and corners with two equivalent Zn(6)O4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. In the second Si site, Si(2) is bonded to one O(15), one O(19), one O(23), and one O(5) atom to form SiO4 tetrahedra that share corners with two equivalent Na(5)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, and corners with two equivalent Zn(8)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the third Si site, Si(3) is bonded to one O(10), one O(13), one O(22), and one O(8) atom to form SiO4 tetrahedra that share corners with two equivalent Na(1)O6 octahedra, corners with two equivalent Na(5)O6 octahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(7)O4 tetrahedra,  a cornercorner with one Zn(9)O4 tetrahedra, and corners with two equivalent Zn(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-65°. In the fourth Si site, Si(4) is bonded to one O(1), one O(17), one O(18), and one O(3) atom to form SiO4 tetrahedra that share  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(6)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra, and corners with two equivalent Zn(9)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. In the fifth Si site, Si(5) is bonded to one O(12), one O(20), one O(21), and one O(7) atom to form SiO4 tetrahedra that share corners with two equivalent Na(1)O6 octahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Zn(1)O4 tetrahedra,  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(6)O4 tetrahedra, and corners with two equivalent Zn(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 56-65°. In the sixth Si site, Si(6) is bonded to one O(16), one O(2), one O(4), and one O(9) atom to form SiO4 tetrahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Zn(3)O4 tetrahedra,  a cornercorner with one Zn(8)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra, and corners with two equivalent Zn(7)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-55°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one Zn(5), one Zn(8), and one Si(4) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Na(5), one Na(6), one Zn(7), and one Si(6) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Zn(5), one Zn(9), and one Si(4) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Zn(4), one Zn(7), and one Si(6) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Zn(5), one Zn(8), and one Si(2) atom. In the sixth O site, O(6) is bonded in a trigonal planar geometry to one Zn(1), one Zn(6), and one Si(1) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Na(3), one Na(4), one Zn(2), and one Si(5) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(6), one Zn(1), and one Si(3) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Zn(3), one Zn(8), and one Si(6) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Na(5), one Zn(3), one Zn(9), and one Si(3) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Na(1), one Na(6), one Zn(1), and one Si(1) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Na(2), one Na(3), one Zn(6), and one Si(5) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Na(5), one Na(6), one Zn(7), and one Si(3) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Zn(2), one Zn(5), and one Si(1) atom. In the fifteenth O site, O(15) is bonded to one Na(5), one Zn(7), one Zn(8), and one Si(2) atom to form distorted corner-sharing ONaZn2Si tetrahedra. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Na(1), one Na(2), one Zn(4), and one Si(6) atom. In the seventeenth O site, O(17) is bonded in a 4-coordinate geometry to one Na(3), one Na(4), one Zn(6), and one Si(4) atom. In the eighteenth O site, O(18) is bonded to one Na(5), one Zn(3), one Zn(9), and one Si(4) atom to form distorted corner-sharing ONaZn2Si tetrahedra. In the nineteenth O site, O(19) is bonded in a 4-coordinate geometry to one Na(3), one Na(4), one Zn(2), and one Si(2) atom. In the twentieth O site, O(20) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Na(2), one Zn(4), and one Si(5) atom. In the twenty-first O site, O(21) is bonded in a distorted tetrahedral geometry to one Na(1), one Zn(1), one Zn(2), and one Si(5) atom. In the twenty-second O site, O(22) is bonded in a 4-coordinate geometry to one Na(1), one Zn(3), one Zn(4), and one Si(3) atom. In the twenty-third O site, O(23) is bonded in a 4-coordinate geometry to one Na(4), one Na(5), one Zn(9), and one Si(2) atom. In the twenty-fourth O site, O(24) is bonded in a distorted tetrahedral geometry to one Na(2), one Na(3), one Zn(6), and one Si(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na2Zn3(SiO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.190
_cell_length_b   8.938
_cell_length_c   13.613
_cell_angle_alpha   107.928
_cell_angle_beta   100.350
_cell_angle_gamma   88.948
_symmetry_Int_Tables_number   1
_cell_volume   590.552
_cell_formula_units_Z   3
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  0.568  0.593  0.234  1.0
  Na  Na1  1  0.594  0.962  0.309  1.0
  Na  Na2  1  0.725  0.071  0.556  1.0
  Na  Na3  1  0.285  0.977  0.639  1.0
  Na  Na4  1  0.404  0.123  0.904  1.0
  Na  Na5  1  0.521  0.221  0.155  1.0
  Zn  Zn6  1  0.061  0.441  0.318  1.0
  Zn  Zn7  1  0.733  0.711  0.503  1.0
  Zn  Zn8  1  0.388  0.485  0.961  1.0
  Zn  Zn9  1  0.069  0.750  0.146  1.0
  Zn  Zn10  1  0.725  0.537  0.671  1.0
  Zn  Zn11  1  0.134  0.184  0.462  1.0
  Zn  Zn12  1  0.998  0.000  0.999  1.0
  Zn  Zn13  1  0.310  0.731  0.809  1.0
  Zn  Zn14  1  0.807  0.283  0.821  1.0
  Si  Si15  1  0.606  0.351  0.415  1.0
  Si  Si16  1  0.815  0.897  0.749  1.0
  Si  Si17  1  0.970  0.375  0.063  1.0
  Si  Si18  1  0.245  0.366  0.718  1.0
  Si  Si19  1  0.162  0.812  0.397  1.0
  Si  Si20  1  0.521  0.842  0.050  1.0
  O  O21  1  0.113  0.535  0.716  1.0
  O  O22  1  0.642  0.991  0.024  1.0
  O  O23  1  0.568  0.388  0.731  1.0
  O  O24  1  0.240  0.900  0.090  1.0
  O  O25  1  0.606  0.754  0.742  1.0
  O  O26  1  0.897  0.301  0.381  1.0
  O  O27  1  0.427  0.843  0.489  1.0
  O  O28  1  0.858  0.404  0.172  1.0
  O  O29  1  0.460  0.688  0.943  1.0
  O  O30  1  0.712  0.359  0.966  1.0
  O  O31  1  0.429  0.394  0.315  1.0
  O  O32  1  0.982  0.967  0.421  1.0
  O  O33  1  0.140  0.217  0.032  1.0
  O  O34  1  0.639  0.507  0.521  1.0
  O  O35  1  0.070  0.911  0.847  1.0
  O  O36  1  0.700  0.790  0.146  1.0
  O  O37  1  0.122  0.221  0.615  1.0
  O  O38  1  0.185  0.328  0.825  1.0
  O  O39  1  0.922  0.854  0.639  1.0
  O  O40  1  0.267  0.774  0.285  1.0
  O  O41  1  0.963  0.662  0.392  1.0
  O  O42  1  0.170  0.525  0.071  1.0
  O  O43  1  0.662  0.064  0.771  1.0
  O  O44  1  0.490  0.197  0.437  1.0
[/CIF]
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