The structure described by MgTiMn5(PO4)6 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(22), one O(23), one O(24), one O(6), and one O(8) atom to form MgO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra, and  a cornercorner with one P(6)O4 tetrahedra. Ti(1) is bonded to one O(11), one O(13), one O(16), one O(18), one O(21), and one O(5) atom to form distorted TiO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a faceface with one Mn(1)O6 octahedra. There are five inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(11), one O(14), one O(18), one O(21), one O(4), and one O(7) atom to form distorted MnO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra,  a faceface with one Ti(1)O6 octahedra, and  a faceface with one Mn(4)O6 octahedra. In the second Mn site, Mn(2) is bonded in a 6-coordinate geometry to one O(12), one O(20), one O(22), one O(23), one O(24), and one O(9) atom. In the third Mn site, Mn(3) is bonded in a 6-coordinate geometry to one O(10), one O(15), one O(17), one O(19), one O(6), and one O(8) atom. In the fourth Mn site, Mn(4) is bonded to one O(12), one O(14), one O(20), one O(4), one O(7), and one O(9) atom to form distorted MnO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a faceface with one Mn(1)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(1), one O(15), one O(17), one O(19), one O(2), and one O(3) atom to form distorted MnO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra, and  a cornercorner with one P(6)O4 tetrahedra. There are six inequivalent P sites. In the first P site, P(1) is bonded to one O(3), one O(4), one O(5), and one O(6) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 26-54°. In the second P site, P(2) is bonded to one O(1), one O(13), one O(7), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 28-56°. In the third P site, P(3) is bonded to one O(10), one O(14), one O(16), and one O(2) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 30-52°. In the fourth P site, P(4) is bonded to one O(11), one O(15), one O(23), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-47°. In the fifth P site, P(5) is bonded to one O(12), one O(17), one O(18), and one O(24) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-50°. In the sixth P site, P(6) is bonded to one O(19), one O(20), one O(21), and one O(22) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-48°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a bent 150 degrees geometry to one Mn(5) and one P(2) atom. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Mn(5) and one P(3) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Mn(5) and one P(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(4), and one P(1) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Ti(1) and one P(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mg(1), one Mn(3), and one P(1) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(4), and one P(2) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Mg(1), one Mn(3), and one P(2) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Mn(2), one Mn(4), and one P(4) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Mg(1), one Mn(3), and one P(3) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Ti(1), one Mn(1), and one P(4) atom. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Mn(2), one Mn(4), and one P(5) atom. In the thirteenth O site, O(13) is bonded in a bent 150 degrees geometry to one Ti(1) and one P(2) atom. In the fourteenth O site, O(14) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(4), and one P(3) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Mn(3), one Mn(5), and one P(4) atom. In the sixteenth O site, O(16) is bonded in a bent 150 degrees geometry to one Ti(1) and one P(3) atom. In the seventeenth O site, O(17) is bonded in a 3-coordinate geometry to one Mn(3), one Mn(5), and one P(5) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Ti(1), one Mn(1), and one P(5) atom. In the nineteenth O site, O(19) is bonded in a 3-coordinate geometry to one Mn(3), one Mn(5), and one P(6) atom. In the twentieth O site, O(20) is bonded in a T-shaped geometry to one Mn(2), one Mn(4), and one P(6) atom. In the twenty-first O site, O(21) is bonded in a 3-coordinate geometry to one Ti(1), one Mn(1), and one P(6) atom. In the twenty-second O site, O(22) is bonded in a distorted T-shaped geometry to one Mg(1), one Mn(2), and one P(6) atom. In the twenty-third O site, O(23) is bonded in a T-shaped geometry to one Mg(1), one Mn(2), and one P(4) atom. In the twenty-fourth O site, O(24) is bonded in a distorted T-shaped geometry to one Mg(1), one Mn(2), and one P(5) atom. is represented by the CIF file [CIF]
data_MgTiMn5(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.853
_cell_length_b   8.696
_cell_length_c   8.758
_cell_angle_alpha   59.989
_cell_angle_beta   60.317
_cell_angle_gamma   61.814
_symmetry_Int_Tables_number   1
_cell_volume   484.120
_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  0.137  0.629  0.625  1.0
  Ti  Ti1  1  0.560  0.149  0.142  1.0
  Mn  Mn2  1  0.999  1.000  0.997  1.0
  Mn  Mn3  1  0.766  0.723  0.745  1.0
  Mn  Mn4  1  0.531  0.486  0.493  1.0
  Mn  Mn5  1  0.395  0.887  0.860  1.0
  Mn  Mn6  1  0.962  0.339  0.348  1.0
  P  P7  1  0.255  0.257  0.529  1.0
  P  P8  1  0.260  0.951  0.251  1.0
  P  P9  1  0.265  0.530  0.958  1.0
  P  P10  1  0.770  0.439  0.050  1.0
  P  P11  1  0.775  0.038  0.745  1.0
  P  P12  1  0.758  0.753  0.440  1.0
  O  O13  1  0.099  0.077  0.354  1.0
  O  O14  1  0.101  0.454  0.096  1.0
  O  O15  1  0.092  0.359  0.461  1.0
  O  O16  1  0.209  0.101  0.721  1.0
  O  O17  1  0.427  0.170  0.381  1.0
  O  O18  1  0.307  0.395  0.544  1.0
  O  O19  1  0.216  0.958  0.097  1.0
  O  O20  1  0.315  0.750  0.387  1.0
  O  O21  1  0.608  0.612  0.996  1.0
  O  O22  1  0.311  0.541  0.759  1.0
  O  O23  1  0.770  0.257  0.062  1.0
  O  O24  1  0.604  0.995  0.789  1.0
  O  O25  1  0.433  0.021  0.158  1.0
  O  O26  1  0.222  0.722  0.963  1.0
  O  O27  1  0.762  0.419  0.238  1.0
  O  O28  1  0.439  0.387  0.014  1.0
  O  O29  1  0.775  0.229  0.580  1.0
  O  O30  1  0.770  0.063  0.913  1.0
  O  O31  1  0.744  0.592  0.428  1.0
  O  O32  1  0.596  0.801  0.616  1.0
  O  O33  1  0.764  0.920  0.256  1.0
  O  O34  1  0.923  0.707  0.496  1.0
  O  O35  1  0.935  0.499  0.872  1.0
  O  O36  1  0.936  0.866  0.707  1.0
[/CIF]
.
The structure described by MgTiMn5(PO4)6 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(22), one O(23), one O(24), one O(6), and one O(8) atom to form MgO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra, and  a cornercorner with one P(6)O4 tetrahedra. Ti(1) is bonded to one O(11), one O(13), one O(16), one O(18), one O(21), and one O(5) atom to form distorted TiO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a faceface with one Mn(1)O6 octahedra. There are five inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(11), one O(14), one O(18), one O(21), one O(4), and one O(7) atom to form distorted MnO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra,  a faceface with one Ti(1)O6 octahedra, and  a faceface with one Mn(4)O6 octahedra. In the second Mn site, Mn(2) is bonded in a 6-coordinate geometry to one O(12), one O(20), one O(22), one O(23), one O(24), and one O(9) atom. In the third Mn site, Mn(3) is bonded in a 6-coordinate geometry to one O(10), one O(15), one O(17), one O(19), one O(6), and one O(8) atom. In the fourth Mn site, Mn(4) is bonded to one O(12), one O(14), one O(20), one O(4), one O(7), and one O(9) atom to form distorted MnO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a faceface with one Mn(1)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(1), one O(15), one O(17), one O(19), one O(2), and one O(3) atom to form distorted MnO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra, and  a cornercorner with one P(6)O4 tetrahedra. There are six inequivalent P sites. In the first P site, P(1) is bonded to one O(3), one O(4), one O(5), and one O(6) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 26-54°. In the second P site, P(2) is bonded to one O(1), one O(13), one O(7), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 28-56°. In the third P site, P(3) is bonded to one O(10), one O(14), one O(16), and one O(2) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 30-52°. In the fourth P site, P(4) is bonded to one O(11), one O(15), one O(23), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-47°. In the fifth P site, P(5) is bonded to one O(12), one O(17), one O(18), and one O(24) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-50°. In the sixth P site, P(6) is bonded to one O(19), one O(20), one O(21), and one O(22) atom to form PO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, and  a cornercorner with one Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-48°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a bent 150 degrees geometry to one Mn(5) and one P(2) atom. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Mn(5) and one P(3) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Mn(5) and one P(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(4), and one P(1) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Ti(1) and one P(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mg(1), one Mn(3), and one P(1) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(4), and one P(2) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Mg(1), one Mn(3), and one P(2) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Mn(2), one Mn(4), and one P(4) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Mg(1), one Mn(3), and one P(3) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Ti(1), one Mn(1), and one P(4) atom. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Mn(2), one Mn(4), and one P(5) atom. In the thirteenth O site, O(13) is bonded in a bent 150 degrees geometry to one Ti(1) and one P(2) atom. In the fourteenth O site, O(14) is bonded in a 3-coordinate geometry to one Mn(1), one Mn(4), and one P(3) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Mn(3), one Mn(5), and one P(4) atom. In the sixteenth O site, O(16) is bonded in a bent 150 degrees geometry to one Ti(1) and one P(3) atom. In the seventeenth O site, O(17) is bonded in a 3-coordinate geometry to one Mn(3), one Mn(5), and one P(5) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Ti(1), one Mn(1), and one P(5) atom. In the nineteenth O site, O(19) is bonded in a 3-coordinate geometry to one Mn(3), one Mn(5), and one P(6) atom. In the twentieth O site, O(20) is bonded in a T-shaped geometry to one Mn(2), one Mn(4), and one P(6) atom. In the twenty-first O site, O(21) is bonded in a 3-coordinate geometry to one Ti(1), one Mn(1), and one P(6) atom. In the twenty-second O site, O(22) is bonded in a distorted T-shaped geometry to one Mg(1), one Mn(2), and one P(6) atom. In the twenty-third O site, O(23) is bonded in a T-shaped geometry to one Mg(1), one Mn(2), and one P(4) atom. In the twenty-fourth O site, O(24) is bonded in a distorted T-shaped geometry to one Mg(1), one Mn(2), and one P(5) atom. is represented by the CIF file [CIF]
data_MgTiMn5(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.853
_cell_length_b   8.696
_cell_length_c   8.758
_cell_angle_alpha   59.989
_cell_angle_beta   60.317
_cell_angle_gamma   61.814
_symmetry_Int_Tables_number   1
_cell_volume   484.120
_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  0.137  0.629  0.625  1.0
  Ti  Ti1  1  0.560  0.149  0.142  1.0
  Mn  Mn2  1  0.999  1.000  0.997  1.0
  Mn  Mn3  1  0.766  0.723  0.745  1.0
  Mn  Mn4  1  0.531  0.486  0.493  1.0
  Mn  Mn5  1  0.395  0.887  0.860  1.0
  Mn  Mn6  1  0.962  0.339  0.348  1.0
  P  P7  1  0.255  0.257  0.529  1.0
  P  P8  1  0.260  0.951  0.251  1.0
  P  P9  1  0.265  0.530  0.958  1.0
  P  P10  1  0.770  0.439  0.050  1.0
  P  P11  1  0.775  0.038  0.745  1.0
  P  P12  1  0.758  0.753  0.440  1.0
  O  O13  1  0.099  0.077  0.354  1.0
  O  O14  1  0.101  0.454  0.096  1.0
  O  O15  1  0.092  0.359  0.461  1.0
  O  O16  1  0.209  0.101  0.721  1.0
  O  O17  1  0.427  0.170  0.381  1.0
  O  O18  1  0.307  0.395  0.544  1.0
  O  O19  1  0.216  0.958  0.097  1.0
  O  O20  1  0.315  0.750  0.387  1.0
  O  O21  1  0.608  0.612  0.996  1.0
  O  O22  1  0.311  0.541  0.759  1.0
  O  O23  1  0.770  0.257  0.062  1.0
  O  O24  1  0.604  0.995  0.789  1.0
  O  O25  1  0.433  0.021  0.158  1.0
  O  O26  1  0.222  0.722  0.963  1.0
  O  O27  1  0.762  0.419  0.238  1.0
  O  O28  1  0.439  0.387  0.014  1.0
  O  O29  1  0.775  0.229  0.580  1.0
  O  O30  1  0.770  0.063  0.913  1.0
  O  O31  1  0.744  0.592  0.428  1.0
  O  O32  1  0.596  0.801  0.616  1.0
  O  O33  1  0.764  0.920  0.256  1.0
  O  O34  1  0.923  0.707  0.496  1.0
  O  O35  1  0.935  0.499  0.872  1.0
  O  O36  1  0.936  0.866  0.707  1.0
[/CIF]
.