The material described by MgAg3P3O13 crystallizes in the monoclinic P2_1/m space group. Mg(1) is bonded to one O(9), two equivalent O(4), and two equivalent O(8) atoms to form distorted MgO5 square pyramids that share corners with two equivalent Ag(3)O6 octahedra, corners with three equivalent P(3)O4 tetrahedra, and  an edgeedge with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are three inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 6-coordinate geometry to one O(1), one O(5), one O(6), one O(9), and two equivalent O(8) atoms. In the second Ag site, Ag(2) is bonded to one O(1), one O(3), one O(7), and two equivalent O(2) atoms to form distorted AgO5 square pyramids that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, and corners with three equivalent P(1)O4 tetrahedra. In the third Ag site, Ag(3) is bonded to two equivalent O(10), two equivalent O(4), and two equivalent O(6) atoms to form AgO6 octahedra that share corners with two equivalent Mg(1)O5 square pyramids, corners with two equivalent P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, and edges with two equivalent Ag(3)O6 octahedra. There are three inequivalent P sites. In the first P site, P(1) is bonded to one O(5), one O(7), and two equivalent O(2) atoms to form PO4 tetrahedra that share corners with three equivalent Ag(2)O5 square pyramids. In the second P site, P(2) is bonded to one O(10), one O(3), and two equivalent O(8) atoms to form PO4 tetrahedra that share corners with two equivalent Ag(3)O6 octahedra,  a cornercorner with one Ag(2)O5 square pyramid, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles are 49°. In the third P site, P(3) is bonded to one O(1), one O(9), and two equivalent O(4) atoms to form PO4 tetrahedra that share corners with two equivalent Ag(3)O6 octahedra,  a cornercorner with one Ag(2)O5 square pyramid, and corners with three equivalent Mg(1)O5 square pyramids. The corner-sharing octahedral tilt angles are 57°. There are ten inequivalent O sites. In the first O site, O(10) is bonded in a 3-coordinate geometry to two equivalent Ag(3) and one P(2) atom. In the second O site, O(1) is bonded in a distorted trigonal planar geometry to one Ag(1), one Ag(2), and one P(3) atom. In the third O site, O(2) is bonded in a distorted bent 120 degrees geometry to one Ag(2) and one P(1) atom. In the fourth O site, O(3) is bonded in a bent 150 degrees geometry to one Ag(2) and one P(2) atom. In the fifth O site, O(4) is bonded in a distorted trigonal planar geometry to one Mg(1), one Ag(3), and one P(3) atom. In the sixth O site, O(5) is bonded in a distorted bent 120 degrees geometry to one Ag(1) and one P(1) atom. In the seventh O site, O(6) is bonded in a trigonal planar geometry to one Ag(1) and two equivalent Ag(3) atoms. In the eighth O site, O(7) is bonded in a distorted single-bond geometry to one Ag(2) and one P(1) atom. In the ninth O site, O(8) is bonded in a distorted trigonal planar geometry to one Mg(1), one Ag(1), and one P(2) atom. In the tenth O site, O(9) is bonded in a distorted bent 150 degrees geometry to one Mg(1), one Ag(1), and one P(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgAg3P3O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.457
_cell_length_b   7.963
_cell_length_c   10.624
_cell_angle_alpha   82.067
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   540.996
_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
  Mg  Mg0  1  0.750  0.385  0.159  1.0
  Mg  Mg1  1  0.250  0.615  0.841  1.0
  Ag  Ag2  1  0.250  0.664  0.214  1.0
  Ag  Ag3  1  0.750  0.336  0.786  1.0
  Ag  Ag4  1  0.250  0.258  0.431  1.0
  Ag  Ag5  1  0.500  0.000  0.000  1.0
  Ag  Ag6  1  0.750  0.742  0.569  1.0
  Ag  Ag7  1  0.000  0.000  0.000  1.0
  P  P8  1  0.250  0.773  0.503  1.0
  P  P9  1  0.750  0.227  0.497  1.0
  P  P10  1  0.250  0.263  0.757  1.0
  P  P11  1  0.750  0.737  0.243  1.0
  P  P12  1  0.750  0.670  0.887  1.0
  P  P13  1  0.250  0.330  0.113  1.0
  O  O14  1  0.750  0.609  0.751  1.0
  O  O15  1  0.569  0.254  0.397  1.0
  O  O16  1  0.250  0.195  0.630  1.0
  O  O17  1  0.541  0.767  0.891  1.0
  O  O18  1  0.750  0.376  0.577  1.0
  O  O19  1  0.750  0.110  0.906  1.0
  O  O20  1  0.250  0.624  0.423  1.0
  O  O21  1  0.041  0.233  0.109  1.0
  O  O22  1  0.250  0.940  0.414  1.0
  O  O23  1  0.750  0.060  0.586  1.0
  O  O24  1  0.072  0.389  0.781  1.0
  O  O25  1  0.250  0.890  0.094  1.0
  O  O26  1  0.572  0.611  0.219  1.0
  O  O27  1  0.750  0.506  0.981  1.0
  O  O28  1  0.750  0.805  0.370  1.0
  O  O29  1  0.459  0.233  0.109  1.0
  O  O30  1  0.931  0.254  0.397  1.0
  O  O31  1  0.431  0.746  0.603  1.0
  O  O32  1  0.428  0.389  0.781  1.0
  O  O33  1  0.250  0.391  0.249  1.0
  O  O34  1  0.750  0.894  0.140  1.0
  O  O35  1  0.250  0.106  0.860  1.0
  O  O36  1  0.928  0.611  0.219  1.0
  O  O37  1  0.959  0.767  0.891  1.0
  O  O38  1  0.069  0.746  0.603  1.0
  O  O39  1  0.250  0.494  0.019  1.0
[/CIF]
.
The material described by MgAg3P3O13 crystallizes in the monoclinic P2_1/m space group. Mg(1) is bonded to one O(9), two equivalent O(4), and two equivalent O(8) atoms to form distorted MgO5 square pyramids that share corners with two equivalent Ag(3)O6 octahedra, corners with three equivalent P(3)O4 tetrahedra, and  an edgeedge with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are three inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 6-coordinate geometry to one O(1), one O(5), one O(6), one O(9), and two equivalent O(8) atoms. In the second Ag site, Ag(2) is bonded to one O(1), one O(3), one O(7), and two equivalent O(2) atoms to form distorted AgO5 square pyramids that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, and corners with three equivalent P(1)O4 tetrahedra. In the third Ag site, Ag(3) is bonded to two equivalent O(10), two equivalent O(4), and two equivalent O(6) atoms to form AgO6 octahedra that share corners with two equivalent Mg(1)O5 square pyramids, corners with two equivalent P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, and edges with two equivalent Ag(3)O6 octahedra. There are three inequivalent P sites. In the first P site, P(1) is bonded to one O(5), one O(7), and two equivalent O(2) atoms to form PO4 tetrahedra that share corners with three equivalent Ag(2)O5 square pyramids. In the second P site, P(2) is bonded to one O(10), one O(3), and two equivalent O(8) atoms to form PO4 tetrahedra that share corners with two equivalent Ag(3)O6 octahedra,  a cornercorner with one Ag(2)O5 square pyramid, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles are 49°. In the third P site, P(3) is bonded to one O(1), one O(9), and two equivalent O(4) atoms to form PO4 tetrahedra that share corners with two equivalent Ag(3)O6 octahedra,  a cornercorner with one Ag(2)O5 square pyramid, and corners with three equivalent Mg(1)O5 square pyramids. The corner-sharing octahedral tilt angles are 57°. There are ten inequivalent O sites. In the first O site, O(10) is bonded in a 3-coordinate geometry to two equivalent Ag(3) and one P(2) atom. In the second O site, O(1) is bonded in a distorted trigonal planar geometry to one Ag(1), one Ag(2), and one P(3) atom. In the third O site, O(2) is bonded in a distorted bent 120 degrees geometry to one Ag(2) and one P(1) atom. In the fourth O site, O(3) is bonded in a bent 150 degrees geometry to one Ag(2) and one P(2) atom. In the fifth O site, O(4) is bonded in a distorted trigonal planar geometry to one Mg(1), one Ag(3), and one P(3) atom. In the sixth O site, O(5) is bonded in a distorted bent 120 degrees geometry to one Ag(1) and one P(1) atom. In the seventh O site, O(6) is bonded in a trigonal planar geometry to one Ag(1) and two equivalent Ag(3) atoms. In the eighth O site, O(7) is bonded in a distorted single-bond geometry to one Ag(2) and one P(1) atom. In the ninth O site, O(8) is bonded in a distorted trigonal planar geometry to one Mg(1), one Ag(1), and one P(2) atom. In the tenth O site, O(9) is bonded in a distorted bent 150 degrees geometry to one Mg(1), one Ag(1), and one P(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgAg3P3O13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.457
_cell_length_b   7.963
_cell_length_c   10.624
_cell_angle_alpha   82.067
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   540.996
_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
  Mg  Mg0  1  0.750  0.385  0.159  1.0
  Mg  Mg1  1  0.250  0.615  0.841  1.0
  Ag  Ag2  1  0.250  0.664  0.214  1.0
  Ag  Ag3  1  0.750  0.336  0.786  1.0
  Ag  Ag4  1  0.250  0.258  0.431  1.0
  Ag  Ag5  1  0.500  0.000  0.000  1.0
  Ag  Ag6  1  0.750  0.742  0.569  1.0
  Ag  Ag7  1  0.000  0.000  0.000  1.0
  P  P8  1  0.250  0.773  0.503  1.0
  P  P9  1  0.750  0.227  0.497  1.0
  P  P10  1  0.250  0.263  0.757  1.0
  P  P11  1  0.750  0.737  0.243  1.0
  P  P12  1  0.750  0.670  0.887  1.0
  P  P13  1  0.250  0.330  0.113  1.0
  O  O14  1  0.750  0.609  0.751  1.0
  O  O15  1  0.569  0.254  0.397  1.0
  O  O16  1  0.250  0.195  0.630  1.0
  O  O17  1  0.541  0.767  0.891  1.0
  O  O18  1  0.750  0.376  0.577  1.0
  O  O19  1  0.750  0.110  0.906  1.0
  O  O20  1  0.250  0.624  0.423  1.0
  O  O21  1  0.041  0.233  0.109  1.0
  O  O22  1  0.250  0.940  0.414  1.0
  O  O23  1  0.750  0.060  0.586  1.0
  O  O24  1  0.072  0.389  0.781  1.0
  O  O25  1  0.250  0.890  0.094  1.0
  O  O26  1  0.572  0.611  0.219  1.0
  O  O27  1  0.750  0.506  0.981  1.0
  O  O28  1  0.750  0.805  0.370  1.0
  O  O29  1  0.459  0.233  0.109  1.0
  O  O30  1  0.931  0.254  0.397  1.0
  O  O31  1  0.431  0.746  0.603  1.0
  O  O32  1  0.428  0.389  0.781  1.0
  O  O33  1  0.250  0.391  0.249  1.0
  O  O34  1  0.750  0.894  0.140  1.0
  O  O35  1  0.250  0.106  0.860  1.0
  O  O36  1  0.928  0.611  0.219  1.0
  O  O37  1  0.959  0.767  0.891  1.0
  O  O38  1  0.069  0.746  0.603  1.0
  O  O39  1  0.250  0.494  0.019  1.0
[/CIF]
.