The structure described by Zn3O(SO4)2 crystallizes in the monoclinic P2_1/m space group. There are three inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form ZnO6 octahedra that share corners with two equivalent Zn(1)O6 octahedra, corners with two equivalent S(1)O4 tetrahedra, corners with two equivalent S(2)O4 tetrahedra, edges with two equivalent Zn(2)O5 trigonal bipyramids, and edges with two equivalent Zn(3)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 59°. In the second Zn site, Zn(2) is bonded to one O(1), one O(5), one O(7), and two equivalent O(2) atoms to form distorted ZnO5 trigonal bipyramids that share  a cornercorner with one S(2)O4 tetrahedra, corners with three equivalent S(1)O4 tetrahedra,  a cornercorner with one Zn(3)O5 trigonal bipyramid, and edges with two equivalent Zn(1)O6 octahedra. In the third Zn site, Zn(3) is bonded to one O(1), one O(4), one O(6), and two equivalent O(3) atoms to form distorted ZnO5 trigonal bipyramids that share  a cornercorner with one S(1)O4 tetrahedra, corners with three equivalent S(2)O4 tetrahedra,  a cornercorner with one Zn(2)O5 trigonal bipyramid, and edges with two equivalent Zn(1)O6 octahedra. There are two inequivalent S sites. In the first S site, S(1) is bonded to one O(4), one O(5), and two equivalent O(2) atoms to form SO4 tetrahedra that share corners with two equivalent Zn(1)O6 octahedra,  a cornercorner with one Zn(3)O5 trigonal bipyramid, and corners with three equivalent Zn(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 48°. In the second S site, S(2) is bonded to one O(6), one O(7), and two equivalent O(3) atoms to form SO4 tetrahedra that share corners with two equivalent Zn(1)O6 octahedra,  a cornercorner with one Zn(2)O5 trigonal bipyramid, and corners with three equivalent Zn(3)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 42°. There are seven inequivalent O sites. In the first O site, O(1) is bonded to one Zn(2), one Zn(3), and two equivalent Zn(1) atoms to form corner-sharing OZn4 tetrahedra. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Zn(1), one Zn(2), and one S(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Zn(1), one Zn(3), and one S(2) atom. In the fourth O site, O(4) is bonded in a distorted bent 120 degrees geometry to one Zn(3) and one S(1) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Zn(2) and one S(1) atom. In the sixth O site, O(6) is bonded in a linear geometry to one Zn(3) and one S(2) atom. In the seventh O site, O(7) is bonded in a linear geometry to one Zn(2) and one S(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Zn3S2O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.650
_cell_length_b   7.389
_cell_length_c   7.928
_cell_angle_alpha   62.194
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   344.566
_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
  Zn  Zn0  1  0.500  0.000  0.000  1.0
  Zn  Zn1  1  0.000  0.000  0.000  1.0
  Zn  Zn2  1  0.250  0.375  0.743  1.0
  Zn  Zn3  1  0.750  0.625  0.257  1.0
  Zn  Zn4  1  0.250  0.166  0.223  1.0
  Zn  Zn5  1  0.750  0.834  0.777  1.0
  S  S6  1  0.250  0.556  0.286  1.0
  S  S7  1  0.750  0.444  0.714  1.0
  S  S8  1  0.250  0.849  0.700  1.0
  S  S9  1  0.750  0.151  0.300  1.0
  O  O10  1  0.250  0.131  0.992  1.0
  O  O11  1  0.750  0.869  0.008  1.0
  O  O12  1  0.929  0.311  0.758  1.0
  O  O13  1  0.429  0.689  0.242  1.0
  O  O14  1  0.071  0.689  0.242  1.0
  O  O15  1  0.571  0.311  0.758  1.0
  O  O16  1  0.930  0.107  0.214  1.0
  O  O17  1  0.430  0.893  0.786  1.0
  O  O18  1  0.070  0.893  0.786  1.0
  O  O19  1  0.570  0.107  0.214  1.0
  O  O20  1  0.750  0.547  0.834  1.0
  O  O21  1  0.250  0.453  0.166  1.0
  O  O22  1  0.750  0.600  0.514  1.0
  O  O23  1  0.250  0.400  0.486  1.0
  O  O24  1  0.750  0.024  0.505  1.0
  O  O25  1  0.250  0.976  0.495  1.0
  O  O26  1  0.250  0.634  0.746  1.0
  O  O27  1  0.750  0.366  0.254  1.0
[/CIF]
.
The structure described by Zn3O(SO4)2 crystallizes in the monoclinic P2_1/m space group. There are three inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form ZnO6 octahedra that share corners with two equivalent Zn(1)O6 octahedra, corners with two equivalent S(1)O4 tetrahedra, corners with two equivalent S(2)O4 tetrahedra, edges with two equivalent Zn(2)O5 trigonal bipyramids, and edges with two equivalent Zn(3)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 59°. In the second Zn site, Zn(2) is bonded to one O(1), one O(5), one O(7), and two equivalent O(2) atoms to form distorted ZnO5 trigonal bipyramids that share  a cornercorner with one S(2)O4 tetrahedra, corners with three equivalent S(1)O4 tetrahedra,  a cornercorner with one Zn(3)O5 trigonal bipyramid, and edges with two equivalent Zn(1)O6 octahedra. In the third Zn site, Zn(3) is bonded to one O(1), one O(4), one O(6), and two equivalent O(3) atoms to form distorted ZnO5 trigonal bipyramids that share  a cornercorner with one S(1)O4 tetrahedra, corners with three equivalent S(2)O4 tetrahedra,  a cornercorner with one Zn(2)O5 trigonal bipyramid, and edges with two equivalent Zn(1)O6 octahedra. There are two inequivalent S sites. In the first S site, S(1) is bonded to one O(4), one O(5), and two equivalent O(2) atoms to form SO4 tetrahedra that share corners with two equivalent Zn(1)O6 octahedra,  a cornercorner with one Zn(3)O5 trigonal bipyramid, and corners with three equivalent Zn(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 48°. In the second S site, S(2) is bonded to one O(6), one O(7), and two equivalent O(3) atoms to form SO4 tetrahedra that share corners with two equivalent Zn(1)O6 octahedra,  a cornercorner with one Zn(2)O5 trigonal bipyramid, and corners with three equivalent Zn(3)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 42°. There are seven inequivalent O sites. In the first O site, O(1) is bonded to one Zn(2), one Zn(3), and two equivalent Zn(1) atoms to form corner-sharing OZn4 tetrahedra. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Zn(1), one Zn(2), and one S(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Zn(1), one Zn(3), and one S(2) atom. In the fourth O site, O(4) is bonded in a distorted bent 120 degrees geometry to one Zn(3) and one S(1) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Zn(2) and one S(1) atom. In the sixth O site, O(6) is bonded in a linear geometry to one Zn(3) and one S(2) atom. In the seventh O site, O(7) is bonded in a linear geometry to one Zn(2) and one S(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Zn3S2O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.650
_cell_length_b   7.389
_cell_length_c   7.928
_cell_angle_alpha   62.194
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   344.566
_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
  Zn  Zn0  1  0.500  0.000  0.000  1.0
  Zn  Zn1  1  0.000  0.000  0.000  1.0
  Zn  Zn2  1  0.250  0.375  0.743  1.0
  Zn  Zn3  1  0.750  0.625  0.257  1.0
  Zn  Zn4  1  0.250  0.166  0.223  1.0
  Zn  Zn5  1  0.750  0.834  0.777  1.0
  S  S6  1  0.250  0.556  0.286  1.0
  S  S7  1  0.750  0.444  0.714  1.0
  S  S8  1  0.250  0.849  0.700  1.0
  S  S9  1  0.750  0.151  0.300  1.0
  O  O10  1  0.250  0.131  0.992  1.0
  O  O11  1  0.750  0.869  0.008  1.0
  O  O12  1  0.929  0.311  0.758  1.0
  O  O13  1  0.429  0.689  0.242  1.0
  O  O14  1  0.071  0.689  0.242  1.0
  O  O15  1  0.571  0.311  0.758  1.0
  O  O16  1  0.930  0.107  0.214  1.0
  O  O17  1  0.430  0.893  0.786  1.0
  O  O18  1  0.070  0.893  0.786  1.0
  O  O19  1  0.570  0.107  0.214  1.0
  O  O20  1  0.750  0.547  0.834  1.0
  O  O21  1  0.250  0.453  0.166  1.0
  O  O22  1  0.750  0.600  0.514  1.0
  O  O23  1  0.250  0.400  0.486  1.0
  O  O24  1  0.750  0.024  0.505  1.0
  O  O25  1  0.250  0.976  0.495  1.0
  O  O26  1  0.250  0.634  0.746  1.0
  O  O27  1  0.750  0.366  0.254  1.0
[/CIF]
.