The structure described by AgSO4 crystallizes in the monoclinic P2_1/c space group. There are four inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to one O(10), one O(11), one O(12), one O(3), one O(5), and one O(7) atom to form distorted AgO6 octahedra that share  a cornercorner with one Ag(2)O6 octahedra,  a cornercorner with one S(1)O4 tetrahedra, corners with two equivalent S(2)O4 tetrahedra, corners with three equivalent S(3)O4 tetrahedra, and edges with two equivalent Ag(2)O6 octahedra. The corner-sharing octahedral tilt angles are 72°. In the second Ag site, Ag(2) is bonded to one O(10), one O(11), one O(12), one O(4), one O(5), and one O(7) atom to form distorted AgO6 octahedra that share  a cornercorner with one Ag(1)O6 octahedra,  a cornercorner with one S(1)O4 tetrahedra, corners with two equivalent S(2)O4 tetrahedra, corners with three equivalent S(3)O4 tetrahedra, and edges with two equivalent Ag(1)O6 octahedra. The corner-sharing octahedral tilt angles are 72°. In the third Ag site, Ag(3) is bonded to one O(1), one O(16), one O(2), one O(8), and two equivalent O(15) atoms to form distorted AgO6 octahedra that share  a cornercorner with one Ag(4)O6 octahedra,  a cornercorner with one S(2)O4 tetrahedra, corners with two equivalent S(1)O4 tetrahedra, corners with three equivalent S(4)O4 tetrahedra,  an edgeedge with one Ag(3)O6 octahedra, and  an edgeedge with one Ag(4)O6 octahedra. The corner-sharing octahedral tilt angles are 69°. In the fourth Ag site, Ag(4) is bonded to one O(1), one O(16), one O(2), one O(6), and two equivalent O(14) atoms to form distorted AgO6 octahedra that share  a cornercorner with one Ag(3)O6 octahedra,  a cornercorner with one S(2)O4 tetrahedra, corners with two equivalent S(1)O4 tetrahedra, corners with three equivalent S(4)O4 tetrahedra,  an edgeedge with one Ag(3)O6 octahedra, and  an edgeedge with one Ag(4)O6 octahedra. The corner-sharing octahedral tilt angles are 69°. There are four inequivalent S sites. In the first S site, S(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form SO4 tetrahedra that share  a cornercorner with one Ag(1)O6 octahedra,  a cornercorner with one Ag(2)O6 octahedra, corners with two equivalent Ag(3)O6 octahedra, and corners with two equivalent Ag(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 35-56°. In the second S site, S(2) is bonded to one O(5), one O(6), one O(7), and one O(8) atom to form SO4 tetrahedra that share  a cornercorner with one Ag(3)O6 octahedra,  a cornercorner with one Ag(4)O6 octahedra, corners with two equivalent Ag(1)O6 octahedra, and corners with two equivalent Ag(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-58°. In the third S site, S(3) is bonded to one O(10), one O(11), one O(12), and one O(9) atom to form SO4 tetrahedra that share corners with three equivalent Ag(1)O6 octahedra and corners with three equivalent Ag(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-66°. In the fourth S site, S(4) is bonded to one O(13), one O(14), one O(15), and one O(16) atom to form SO4 tetrahedra that share corners with three equivalent Ag(3)O6 octahedra and corners with three equivalent Ag(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-66°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ag(3), one Ag(4), and one S(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Ag(3), one Ag(4), and one S(1) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Ag(1) and one S(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one Ag(2) and one S(1) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one Ag(1), one Ag(2), and one S(2) atom. In the sixth O site, O(6) is bonded in a bent 150 degrees geometry to one Ag(4) and one S(2) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Ag(1), one Ag(2), and one S(2) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one Ag(3) and one S(2) atom. In the ninth O site, O(9) is bonded in a single-bond geometry to one S(3) atom. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one Ag(1), one Ag(2), and one S(3) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Ag(1), one Ag(2), and one S(3) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Ag(1), one Ag(2), and one S(3) atom. In the thirteenth O site, O(13) is bonded in a single-bond geometry to one S(4) atom. In the fourteenth O site, O(14) is bonded in a 3-coordinate geometry to two equivalent Ag(4) and one S(4) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to two equivalent Ag(3) and one S(4) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Ag(3), one Ag(4), and one S(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_AgSO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.343
_cell_length_b   7.950
_cell_length_c   14.962
_cell_angle_alpha   90.000
_cell_angle_beta   89.714
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   635.599
_cell_formula_units_Z   8
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
  Ag  Ag0  1  0.667  0.515  0.890  1.0
  Ag  Ag1  1  0.333  0.015  0.110  1.0
  Ag  Ag2  1  0.333  0.485  0.110  1.0
  Ag  Ag3  1  0.667  0.985  0.890  1.0
  Ag  Ag4  1  0.171  0.488  0.609  1.0
  Ag  Ag5  1  0.829  0.988  0.391  1.0
  Ag  Ag6  1  0.829  0.512  0.391  1.0
  Ag  Ag7  1  0.171  0.012  0.609  1.0
  O  O8  1  0.890  0.250  0.636  1.0
  O  O9  1  0.110  0.750  0.364  1.0
  O  O10  1  0.432  0.250  0.649  1.0
  O  O11  1  0.568  0.750  0.351  1.0
  O  O12  1  0.692  0.407  0.753  1.0
  O  O13  1  0.308  0.907  0.247  1.0
  O  O14  1  0.308  0.593  0.247  1.0
  O  O15  1  0.692  0.093  0.753  1.0
  O  O16  1  0.374  0.750  0.865  1.0
  O  O17  1  0.626  0.250  0.135  1.0
  O  O18  1  0.186  0.907  0.746  1.0
  O  O19  1  0.814  0.407  0.254  1.0
  O  O20  1  0.814  0.093  0.254  1.0
  O  O21  1  0.186  0.593  0.746  1.0
  O  O22  1  0.917  0.750  0.848  1.0
  O  O23  1  0.083  0.250  0.152  1.0
  O  O24  1  0.238  0.250  0.829  1.0
  O  O25  1  0.762  0.750  0.171  1.0
  O  O26  1  0.911  0.250  0.945  1.0
  O  O27  1  0.089  0.750  0.055  1.0
  O  O28  1  0.304  0.095  0.966  1.0
  O  O29  1  0.696  0.595  0.034  1.0
  O  O30  1  0.696  0.905  0.034  1.0
  O  O31  1  0.304  0.405  0.966  1.0
  O  O32  1  0.733  0.750  0.670  1.0
  O  O33  1  0.267  0.250  0.330  1.0
  O  O34  1  0.793  0.905  0.534  1.0
  O  O35  1  0.207  0.405  0.466  1.0
  O  O36  1  0.207  0.095  0.466  1.0
  O  O37  1  0.793  0.595  0.534  1.0
  O  O38  1  0.400  0.750  0.557  1.0
  O  O39  1  0.600  0.250  0.443  1.0
  S  S40  1  0.674  0.250  0.701  1.0
  S  S41  1  0.326  0.750  0.299  1.0
  S  S42  1  0.166  0.750  0.799  1.0
  S  S43  1  0.834  0.250  0.201  1.0
  S  S44  1  0.182  0.250  0.924  1.0
  S  S45  1  0.818  0.750  0.076  1.0
  S  S46  1  0.674  0.750  0.576  1.0
  S  S47  1  0.326  0.250  0.424  1.0
[/CIF]
.
The structure described by AgSO4 crystallizes in the monoclinic P2_1/c space group. There are four inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to one O(10), one O(11), one O(12), one O(3), one O(5), and one O(7) atom to form distorted AgO6 octahedra that share  a cornercorner with one Ag(2)O6 octahedra,  a cornercorner with one S(1)O4 tetrahedra, corners with two equivalent S(2)O4 tetrahedra, corners with three equivalent S(3)O4 tetrahedra, and edges with two equivalent Ag(2)O6 octahedra. The corner-sharing octahedral tilt angles are 72°. In the second Ag site, Ag(2) is bonded to one O(10), one O(11), one O(12), one O(4), one O(5), and one O(7) atom to form distorted AgO6 octahedra that share  a cornercorner with one Ag(1)O6 octahedra,  a cornercorner with one S(1)O4 tetrahedra, corners with two equivalent S(2)O4 tetrahedra, corners with three equivalent S(3)O4 tetrahedra, and edges with two equivalent Ag(1)O6 octahedra. The corner-sharing octahedral tilt angles are 72°. In the third Ag site, Ag(3) is bonded to one O(1), one O(16), one O(2), one O(8), and two equivalent O(15) atoms to form distorted AgO6 octahedra that share  a cornercorner with one Ag(4)O6 octahedra,  a cornercorner with one S(2)O4 tetrahedra, corners with two equivalent S(1)O4 tetrahedra, corners with three equivalent S(4)O4 tetrahedra,  an edgeedge with one Ag(3)O6 octahedra, and  an edgeedge with one Ag(4)O6 octahedra. The corner-sharing octahedral tilt angles are 69°. In the fourth Ag site, Ag(4) is bonded to one O(1), one O(16), one O(2), one O(6), and two equivalent O(14) atoms to form distorted AgO6 octahedra that share  a cornercorner with one Ag(3)O6 octahedra,  a cornercorner with one S(2)O4 tetrahedra, corners with two equivalent S(1)O4 tetrahedra, corners with three equivalent S(4)O4 tetrahedra,  an edgeedge with one Ag(3)O6 octahedra, and  an edgeedge with one Ag(4)O6 octahedra. The corner-sharing octahedral tilt angles are 69°. There are four inequivalent S sites. In the first S site, S(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form SO4 tetrahedra that share  a cornercorner with one Ag(1)O6 octahedra,  a cornercorner with one Ag(2)O6 octahedra, corners with two equivalent Ag(3)O6 octahedra, and corners with two equivalent Ag(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 35-56°. In the second S site, S(2) is bonded to one O(5), one O(6), one O(7), and one O(8) atom to form SO4 tetrahedra that share  a cornercorner with one Ag(3)O6 octahedra,  a cornercorner with one Ag(4)O6 octahedra, corners with two equivalent Ag(1)O6 octahedra, and corners with two equivalent Ag(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-58°. In the third S site, S(3) is bonded to one O(10), one O(11), one O(12), and one O(9) atom to form SO4 tetrahedra that share corners with three equivalent Ag(1)O6 octahedra and corners with three equivalent Ag(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-66°. In the fourth S site, S(4) is bonded to one O(13), one O(14), one O(15), and one O(16) atom to form SO4 tetrahedra that share corners with three equivalent Ag(3)O6 octahedra and corners with three equivalent Ag(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-66°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ag(3), one Ag(4), and one S(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Ag(3), one Ag(4), and one S(1) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Ag(1) and one S(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one Ag(2) and one S(1) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one Ag(1), one Ag(2), and one S(2) atom. In the sixth O site, O(6) is bonded in a bent 150 degrees geometry to one Ag(4) and one S(2) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Ag(1), one Ag(2), and one S(2) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one Ag(3) and one S(2) atom. In the ninth O site, O(9) is bonded in a single-bond geometry to one S(3) atom. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one Ag(1), one Ag(2), and one S(3) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Ag(1), one Ag(2), and one S(3) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Ag(1), one Ag(2), and one S(3) atom. In the thirteenth O site, O(13) is bonded in a single-bond geometry to one S(4) atom. In the fourteenth O site, O(14) is bonded in a 3-coordinate geometry to two equivalent Ag(4) and one S(4) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to two equivalent Ag(3) and one S(4) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Ag(3), one Ag(4), and one S(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_AgSO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.343
_cell_length_b   7.950
_cell_length_c   14.962
_cell_angle_alpha   90.000
_cell_angle_beta   89.714
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   635.599
_cell_formula_units_Z   8
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
  Ag  Ag0  1  0.667  0.515  0.890  1.0
  Ag  Ag1  1  0.333  0.015  0.110  1.0
  Ag  Ag2  1  0.333  0.485  0.110  1.0
  Ag  Ag3  1  0.667  0.985  0.890  1.0
  Ag  Ag4  1  0.171  0.488  0.609  1.0
  Ag  Ag5  1  0.829  0.988  0.391  1.0
  Ag  Ag6  1  0.829  0.512  0.391  1.0
  Ag  Ag7  1  0.171  0.012  0.609  1.0
  O  O8  1  0.890  0.250  0.636  1.0
  O  O9  1  0.110  0.750  0.364  1.0
  O  O10  1  0.432  0.250  0.649  1.0
  O  O11  1  0.568  0.750  0.351  1.0
  O  O12  1  0.692  0.407  0.753  1.0
  O  O13  1  0.308  0.907  0.247  1.0
  O  O14  1  0.308  0.593  0.247  1.0
  O  O15  1  0.692  0.093  0.753  1.0
  O  O16  1  0.374  0.750  0.865  1.0
  O  O17  1  0.626  0.250  0.135  1.0
  O  O18  1  0.186  0.907  0.746  1.0
  O  O19  1  0.814  0.407  0.254  1.0
  O  O20  1  0.814  0.093  0.254  1.0
  O  O21  1  0.186  0.593  0.746  1.0
  O  O22  1  0.917  0.750  0.848  1.0
  O  O23  1  0.083  0.250  0.152  1.0
  O  O24  1  0.238  0.250  0.829  1.0
  O  O25  1  0.762  0.750  0.171  1.0
  O  O26  1  0.911  0.250  0.945  1.0
  O  O27  1  0.089  0.750  0.055  1.0
  O  O28  1  0.304  0.095  0.966  1.0
  O  O29  1  0.696  0.595  0.034  1.0
  O  O30  1  0.696  0.905  0.034  1.0
  O  O31  1  0.304  0.405  0.966  1.0
  O  O32  1  0.733  0.750  0.670  1.0
  O  O33  1  0.267  0.250  0.330  1.0
  O  O34  1  0.793  0.905  0.534  1.0
  O  O35  1  0.207  0.405  0.466  1.0
  O  O36  1  0.207  0.095  0.466  1.0
  O  O37  1  0.793  0.595  0.534  1.0
  O  O38  1  0.400  0.750  0.557  1.0
  O  O39  1  0.600  0.250  0.443  1.0
  S  S40  1  0.674  0.250  0.701  1.0
  S  S41  1  0.326  0.750  0.299  1.0
  S  S42  1  0.166  0.750  0.799  1.0
  S  S43  1  0.834  0.250  0.201  1.0
  S  S44  1  0.182  0.250  0.924  1.0
  S  S45  1  0.818  0.750  0.076  1.0
  S  S46  1  0.674  0.750  0.576  1.0
  S  S47  1  0.326  0.250  0.424  1.0
[/CIF]
.