The crystal structure described by MgAgCu2(SO5)2 crystallizes in the monoclinic C2 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form distorted MgO6 pentagonal pyramids that share edges with two equivalent S(1)O4 tetrahedra. Ag(1) is bonded in a rectangular see-saw-like geometry to two equivalent O(3) and two equivalent O(4) atoms. Cu(1) is bonded in a 4-coordinate geometry to one O(1), one O(4), and two equivalent O(5) atoms. 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  an edgeedge with one Mg(1)O6 pentagonal pyramid. There are five inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Mg(1), one Cu(1), and one S(1) atom. In the second O site, O(2) is bonded in a single-bond geometry to one S(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(1), one Ag(1), and one S(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Ag(1), one Cu(1), and one S(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1) and two equivalent Cu(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgCu2Ag(SO5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.880
_cell_length_b   5.880
_cell_length_c   7.803
_cell_angle_alpha   89.697
_cell_angle_beta   112.232
_cell_angle_gamma   120.317
_symmetry_Int_Tables_number   1
_cell_volume   209.692
_cell_formula_units_Z   1
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  0.701  0.701  0.000  1.0
  Cu  Cu1  1  0.005  0.439  0.973  1.0
  Cu  Cu2  1  0.466  0.032  0.027  1.0
  Ag  Ag3  1  0.008  0.508  0.500  1.0
  S  S4  1  0.783  0.918  0.691  1.0
  S  S5  1  0.226  0.092  0.309  1.0
  O  O6  1  0.979  0.850  0.842  1.0
  O  O7  1  0.007  0.136  0.158  1.0
  O  O8  1  0.720  0.819  0.500  1.0
  O  O9  1  0.319  0.220  0.500  1.0
  O  O10  1  0.518  0.796  0.733  1.0
  O  O11  1  0.930  0.225  0.732  1.0
  O  O12  1  0.493  0.197  0.267  1.0
  O  O13  1  0.063  0.785  0.267  1.0
  O  O14  1  0.646  0.339  0.953  1.0
  O  O15  1  0.386  0.693  0.047  1.0
[/CIF]
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The crystal structure described by MgAgCu2(SO5)2 crystallizes in the monoclinic C2 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form distorted MgO6 pentagonal pyramids that share edges with two equivalent S(1)O4 tetrahedra. Ag(1) is bonded in a rectangular see-saw-like geometry to two equivalent O(3) and two equivalent O(4) atoms. Cu(1) is bonded in a 4-coordinate geometry to one O(1), one O(4), and two equivalent O(5) atoms. 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  an edgeedge with one Mg(1)O6 pentagonal pyramid. There are five inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Mg(1), one Cu(1), and one S(1) atom. In the second O site, O(2) is bonded in a single-bond geometry to one S(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(1), one Ag(1), and one S(1) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Ag(1), one Cu(1), and one S(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Mg(1) and two equivalent Cu(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgCu2Ag(SO5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.880
_cell_length_b   5.880
_cell_length_c   7.803
_cell_angle_alpha   89.697
_cell_angle_beta   112.232
_cell_angle_gamma   120.317
_symmetry_Int_Tables_number   1
_cell_volume   209.692
_cell_formula_units_Z   1
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  0.701  0.701  0.000  1.0
  Cu  Cu1  1  0.005  0.439  0.973  1.0
  Cu  Cu2  1  0.466  0.032  0.027  1.0
  Ag  Ag3  1  0.008  0.508  0.500  1.0
  S  S4  1  0.783  0.918  0.691  1.0
  S  S5  1  0.226  0.092  0.309  1.0
  O  O6  1  0.979  0.850  0.842  1.0
  O  O7  1  0.007  0.136  0.158  1.0
  O  O8  1  0.720  0.819  0.500  1.0
  O  O9  1  0.319  0.220  0.500  1.0
  O  O10  1  0.518  0.796  0.733  1.0
  O  O11  1  0.930  0.225  0.732  1.0
  O  O12  1  0.493  0.197  0.267  1.0
  O  O13  1  0.063  0.785  0.267  1.0
  O  O14  1  0.646  0.339  0.953  1.0
  O  O15  1  0.386  0.693  0.047  1.0
[/CIF]
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