The crystal structure described by MgTiAg(PO4)3 crystallizes in the trigonal R3c space group. Mg(1) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form distorted MgO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra,  a faceface with one Ti(1)O6 octahedra, and  a faceface with one Ag(1)O6 octahedra. Ti(1) is bonded to three equivalent O(2) and three equivalent O(4) atoms to form TiO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra and  a faceface with one Mg(1)O6 octahedra. Ag(1) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form distorted AgO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra and  a faceface with one Mg(1)O6 octahedra. P(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, and corners with two equivalent Ag(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 19-53°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 150 degrees geometry to one Ag(1) and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Mg(1), one Ti(1), and one P(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 P(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one Ti(1) and one P(1) atom. is represented by the CIF card [CIF]
data_MgTiAg(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.560
_cell_length_b   8.560
_cell_length_c   8.560
_cell_angle_alpha   61.972
_cell_angle_beta   61.972
_cell_angle_gamma   61.972
_symmetry_Int_Tables_number   1
_cell_volume   463.132
_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  0.996  0.996  0.996  1.0
  Mg  Mg1  1  0.496  0.496  0.496  1.0
  Ti  Ti2  1  0.146  0.146  0.146  1.0
  Ti  Ti3  1  0.646  0.646  0.646  1.0
  Ag  Ag4  1  0.351  0.351  0.351  1.0
  Ag  Ag5  1  0.851  0.851  0.851  1.0
  P  P6  1  0.444  0.048  0.757  1.0
  P  P7  1  0.757  0.444  0.048  1.0
  P  P8  1  0.048  0.757  0.444  1.0
  P  P9  1  0.944  0.257  0.548  1.0
  P  P10  1  0.257  0.548  0.944  1.0
  P  P11  1  0.548  0.944  0.257  1.0
  O  O12  1  0.531  0.091  0.321  1.0
  O  O13  1  0.091  0.321  0.531  1.0
  O  O14  1  0.252  0.050  0.916  1.0
  O  O15  1  0.321  0.531  0.091  1.0
  O  O16  1  0.591  0.031  0.821  1.0
  O  O17  1  0.427  0.241  0.603  1.0
  O  O18  1  0.916  0.252  0.050  1.0
  O  O19  1  0.603  0.427  0.241  1.0
  O  O20  1  0.006  0.192  0.378  1.0
  O  O21  1  0.241  0.603  0.427  1.0
  O  O22  1  0.927  0.103  0.741  1.0
  O  O23  1  0.192  0.378  0.006  1.0
  O  O24  1  0.821  0.591  0.031  1.0
  O  O25  1  0.050  0.916  0.252  1.0
  O  O26  1  0.752  0.416  0.550  1.0
  O  O27  1  0.031  0.821  0.591  1.0
  O  O28  1  0.416  0.550  0.752  1.0
  O  O29  1  0.103  0.741  0.927  1.0
  O  O30  1  0.550  0.752  0.416  1.0
  O  O31  1  0.378  0.006  0.192  1.0
  O  O32  1  0.692  0.506  0.878  1.0
  O  O33  1  0.741  0.927  0.103  1.0
  O  O34  1  0.878  0.692  0.506  1.0
  O  O35  1  0.506  0.878  0.692  1.0
[/CIF]
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The crystal structure described by MgTiAg(PO4)3 crystallizes in the trigonal R3c space group. Mg(1) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form distorted MgO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra,  a faceface with one Ti(1)O6 octahedra, and  a faceface with one Ag(1)O6 octahedra. Ti(1) is bonded to three equivalent O(2) and three equivalent O(4) atoms to form TiO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra and  a faceface with one Mg(1)O6 octahedra. Ag(1) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form distorted AgO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra and  a faceface with one Mg(1)O6 octahedra. P(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, and corners with two equivalent Ag(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 19-53°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 150 degrees geometry to one Ag(1) and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Mg(1), one Ti(1), and one P(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 P(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one Ti(1) and one P(1) atom. is represented by the CIF card [CIF]
data_MgTiAg(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.560
_cell_length_b   8.560
_cell_length_c   8.560
_cell_angle_alpha   61.972
_cell_angle_beta   61.972
_cell_angle_gamma   61.972
_symmetry_Int_Tables_number   1
_cell_volume   463.132
_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  0.996  0.996  0.996  1.0
  Mg  Mg1  1  0.496  0.496  0.496  1.0
  Ti  Ti2  1  0.146  0.146  0.146  1.0
  Ti  Ti3  1  0.646  0.646  0.646  1.0
  Ag  Ag4  1  0.351  0.351  0.351  1.0
  Ag  Ag5  1  0.851  0.851  0.851  1.0
  P  P6  1  0.444  0.048  0.757  1.0
  P  P7  1  0.757  0.444  0.048  1.0
  P  P8  1  0.048  0.757  0.444  1.0
  P  P9  1  0.944  0.257  0.548  1.0
  P  P10  1  0.257  0.548  0.944  1.0
  P  P11  1  0.548  0.944  0.257  1.0
  O  O12  1  0.531  0.091  0.321  1.0
  O  O13  1  0.091  0.321  0.531  1.0
  O  O14  1  0.252  0.050  0.916  1.0
  O  O15  1  0.321  0.531  0.091  1.0
  O  O16  1  0.591  0.031  0.821  1.0
  O  O17  1  0.427  0.241  0.603  1.0
  O  O18  1  0.916  0.252  0.050  1.0
  O  O19  1  0.603  0.427  0.241  1.0
  O  O20  1  0.006  0.192  0.378  1.0
  O  O21  1  0.241  0.603  0.427  1.0
  O  O22  1  0.927  0.103  0.741  1.0
  O  O23  1  0.192  0.378  0.006  1.0
  O  O24  1  0.821  0.591  0.031  1.0
  O  O25  1  0.050  0.916  0.252  1.0
  O  O26  1  0.752  0.416  0.550  1.0
  O  O27  1  0.031  0.821  0.591  1.0
  O  O28  1  0.416  0.550  0.752  1.0
  O  O29  1  0.103  0.741  0.927  1.0
  O  O30  1  0.550  0.752  0.416  1.0
  O  O31  1  0.378  0.006  0.192  1.0
  O  O32  1  0.692  0.506  0.878  1.0
  O  O33  1  0.741  0.927  0.103  1.0
  O  O34  1  0.878  0.692  0.506  1.0
  O  O35  1  0.506  0.878  0.692  1.0
[/CIF]
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