The structure described by Li5Mn3Bi2(PO4)6 crystallizes in the triclinic P1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded in a 3-coordinate geometry to one O(11), one O(13), one O(15), one O(21), and one O(6) atom. In the second Li site, Li(2) is bonded in a 5-coordinate geometry to one O(14), one O(19), one O(24), one O(4), one O(8), and one O(9) atom. In the third Li site, Li(3) is bonded in a distorted see-saw-like geometry to one O(11), one O(16), one O(21), and one O(6) atom. In the fourth Li site, Li(4) is bonded in a distorted rectangular see-saw-like geometry to one O(13), one O(18), one O(20), and one O(21) atom. In the fifth Li site, Li(5) is bonded in a distorted see-saw-like geometry to one O(11), one O(15), one O(17), and one O(18) atom. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(22), one O(23), one O(24), one O(5), one O(8), and one O(9) atom to form distorted MnO6 pentagonal pyramids 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. In the second Mn site, Mn(2) is bonded to one O(10), one O(12), one O(14), one O(19), 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, and  a cornercorner with one P(6)O4 tetrahedra. In the third Mn site, Mn(3) is bonded to one O(1), one O(16), one O(17), one O(2), one O(20), 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 two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a distorted hexagonal planar geometry to one O(11), one O(14), one O(18), one O(21), one O(4), and one O(7) atom. In the second Bi site, Bi(2) is bonded in a 6-coordinate geometry to one O(16), one O(17), one O(20), one O(5), one O(8), and one O(9) atom. 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 26-47°. 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 35-42°. In the third P site, P(3) is bonded to one O(14), one O(15), one O(2), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 29-50°. In the fourth P site, P(4) is bonded to one O(10), one O(11), one O(16), and one O(23) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 34-52°. 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 17-55°. 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 48-49°. 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(3) and one P(2) atom. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Mn(3) and one P(3) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Mn(3) and one P(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(2), one Bi(1), and one P(1) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Mn(1), one Bi(2), and one P(1) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Li(1), one Li(3), and one P(1) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mn(2), one Bi(1), and one P(2) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Li(2), one Mn(1), one Bi(2), and one P(2) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(1), one Bi(2), and one P(3) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(4) atom. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Li(1), one Li(3), one Li(5), one Bi(1), and one P(4) atom. In the twelfth O site, O(12) is bonded in a linear geometry to one Mn(2) and one P(5) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Li(1), one Li(4), and one P(2) atom. In the fourteenth O site, O(14) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(2), one Bi(1), and one P(3) atom. In the fifteenth O site, O(15) is bonded in a distorted T-shaped geometry to one Li(1), one Li(5), and one P(3) atom. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Li(3), one Mn(3), one Bi(2), and one P(4) atom. In the seventeenth O site, O(17) is bonded in a 4-coordinate geometry to one Li(5), one Mn(3), one Bi(2), and one P(5) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Li(4), one Li(5), one Bi(1), and one P(5) atom. In the nineteenth O site, O(19) is bonded in a 3-coordinate geometry to one Li(2), one Mn(2), and one P(6) atom. In the twentieth O site, O(20) is bonded in a 4-coordinate geometry to one Li(4), one Mn(3), one Bi(2), and one P(6) atom. In the twenty-first O site, O(21) is bonded in a 5-coordinate geometry to one Li(1), one Li(3), one Li(4), one Bi(1), and one P(6) atom. In the twenty-second O site, O(22) is bonded in a bent 150 degrees geometry to one Mn(1) and one P(6) atom. In the twenty-third O site, O(23) is bonded in a bent 150 degrees geometry to one Mn(1) and one P(4) atom. In the twenty-fourth O site, O(24) is bonded in a 3-coordinate geometry to one Li(2), one Mn(1), and one P(5) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Mn3Bi2(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.865
_cell_length_b   8.939
_cell_length_c   8.975
_cell_angle_alpha   119.354
_cell_angle_beta   119.442
_cell_angle_gamma   89.976
_symmetry_Int_Tables_number   1
_cell_volume   512.044
_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
  Li  Li0  1  0.512  0.177  0.349  1.0
  Li  Li1  1  0.745  0.648  0.505  1.0
  Li  Li2  1  0.306  0.325  0.473  1.0
  Li  Li3  1  0.320  0.149  0.992  1.0
  Li  Li4  1  0.311  0.841  0.161  1.0
  Mn  Mn5  1  0.960  0.653  0.310  1.0
  Mn  Mn6  1  0.533  0.844  0.684  1.0
  Mn  Mn7  1  0.037  0.341  0.686  1.0
  Bi  Bi8  1  0.985  0.010  0.001  1.0
  Bi  Bi9  1  0.511  0.504  0.995  1.0
  P  P10  1  0.741  0.548  0.795  1.0
  P  P11  1  0.746  0.249  0.196  1.0
  P  P12  1  0.737  0.947  0.490  1.0
  P  P13  1  0.241  0.043  0.497  1.0
  P  P14  1  0.224  0.746  0.784  1.0
  P  P15  1  0.265  0.457  0.206  1.0
  O  O16  1  0.922  0.294  0.392  1.0
  O  O17  1  0.908  0.097  0.604  1.0
  O  O18  1  0.908  0.504  0.798  1.0
  O  O19  1  0.747  0.729  0.801  1.0
  O  O20  1  0.752  0.594  0.993  1.0
  O  O21  1  0.559  0.400  0.607  1.0
  O  O22  1  0.742  0.091  0.006  1.0
  O  O23  1  0.746  0.419  0.178  1.0
  O  O24  1  0.731  0.750  0.333  1.0
  O  O25  1  0.417  0.016  0.622  1.0
  O  O26  1  0.228  0.038  0.312  1.0
  O  O27  1  0.378  0.776  0.761  1.0
  O  O28  1  0.570  0.203  0.179  1.0
  O  O29  1  0.750  0.920  0.658  1.0
  O  O30  1  0.559  0.972  0.367  1.0
  O  O31  1  0.253  0.244  0.642  1.0
  O  O32  1  0.252  0.613  0.857  1.0
  O  O33  1  0.236  0.925  0.966  1.0
  O  O34  1  0.452  0.602  0.393  1.0
  O  O35  1  0.263  0.390  0.006  1.0
  O  O36  1  0.244  0.280  0.204  1.0
  O  O37  1  0.105  0.524  0.200  1.0
  O  O38  1  0.070  0.903  0.408  1.0
  O  O39  1  0.033  0.681  0.589  1.0
[/CIF]
.
The structure described by Li5Mn3Bi2(PO4)6 crystallizes in the triclinic P1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded in a 3-coordinate geometry to one O(11), one O(13), one O(15), one O(21), and one O(6) atom. In the second Li site, Li(2) is bonded in a 5-coordinate geometry to one O(14), one O(19), one O(24), one O(4), one O(8), and one O(9) atom. In the third Li site, Li(3) is bonded in a distorted see-saw-like geometry to one O(11), one O(16), one O(21), and one O(6) atom. In the fourth Li site, Li(4) is bonded in a distorted rectangular see-saw-like geometry to one O(13), one O(18), one O(20), and one O(21) atom. In the fifth Li site, Li(5) is bonded in a distorted see-saw-like geometry to one O(11), one O(15), one O(17), and one O(18) atom. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(22), one O(23), one O(24), one O(5), one O(8), and one O(9) atom to form distorted MnO6 pentagonal pyramids 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. In the second Mn site, Mn(2) is bonded to one O(10), one O(12), one O(14), one O(19), 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, and  a cornercorner with one P(6)O4 tetrahedra. In the third Mn site, Mn(3) is bonded to one O(1), one O(16), one O(17), one O(2), one O(20), 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 two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a distorted hexagonal planar geometry to one O(11), one O(14), one O(18), one O(21), one O(4), and one O(7) atom. In the second Bi site, Bi(2) is bonded in a 6-coordinate geometry to one O(16), one O(17), one O(20), one O(5), one O(8), and one O(9) atom. 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 26-47°. 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 35-42°. In the third P site, P(3) is bonded to one O(14), one O(15), one O(2), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 29-50°. In the fourth P site, P(4) is bonded to one O(10), one O(11), one O(16), and one O(23) atom to form PO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 34-52°. 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 17-55°. 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, and  a cornercorner with one Mn(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 48-49°. 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(3) and one P(2) atom. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Mn(3) and one P(3) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Mn(3) and one P(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(2), one Bi(1), and one P(1) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Mn(1), one Bi(2), and one P(1) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Li(1), one Li(3), and one P(1) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mn(2), one Bi(1), and one P(2) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Li(2), one Mn(1), one Bi(2), and one P(2) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(1), one Bi(2), and one P(3) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one Mn(2) and one P(4) atom. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Li(1), one Li(3), one Li(5), one Bi(1), and one P(4) atom. In the twelfth O site, O(12) is bonded in a linear geometry to one Mn(2) and one P(5) atom. In the thirteenth O site, O(13) is bonded in a distorted T-shaped geometry to one Li(1), one Li(4), and one P(2) atom. In the fourteenth O site, O(14) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(2), one Bi(1), and one P(3) atom. In the fifteenth O site, O(15) is bonded in a distorted T-shaped geometry to one Li(1), one Li(5), and one P(3) atom. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Li(3), one Mn(3), one Bi(2), and one P(4) atom. In the seventeenth O site, O(17) is bonded in a 4-coordinate geometry to one Li(5), one Mn(3), one Bi(2), and one P(5) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one Li(4), one Li(5), one Bi(1), and one P(5) atom. In the nineteenth O site, O(19) is bonded in a 3-coordinate geometry to one Li(2), one Mn(2), and one P(6) atom. In the twentieth O site, O(20) is bonded in a 4-coordinate geometry to one Li(4), one Mn(3), one Bi(2), and one P(6) atom. In the twenty-first O site, O(21) is bonded in a 5-coordinate geometry to one Li(1), one Li(3), one Li(4), one Bi(1), and one P(6) atom. In the twenty-second O site, O(22) is bonded in a bent 150 degrees geometry to one Mn(1) and one P(6) atom. In the twenty-third O site, O(23) is bonded in a bent 150 degrees geometry to one Mn(1) and one P(4) atom. In the twenty-fourth O site, O(24) is bonded in a 3-coordinate geometry to one Li(2), one Mn(1), and one P(5) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Mn3Bi2(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.865
_cell_length_b   8.939
_cell_length_c   8.975
_cell_angle_alpha   119.354
_cell_angle_beta   119.442
_cell_angle_gamma   89.976
_symmetry_Int_Tables_number   1
_cell_volume   512.044
_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
  Li  Li0  1  0.512  0.177  0.349  1.0
  Li  Li1  1  0.745  0.648  0.505  1.0
  Li  Li2  1  0.306  0.325  0.473  1.0
  Li  Li3  1  0.320  0.149  0.992  1.0
  Li  Li4  1  0.311  0.841  0.161  1.0
  Mn  Mn5  1  0.960  0.653  0.310  1.0
  Mn  Mn6  1  0.533  0.844  0.684  1.0
  Mn  Mn7  1  0.037  0.341  0.686  1.0
  Bi  Bi8  1  0.985  0.010  0.001  1.0
  Bi  Bi9  1  0.511  0.504  0.995  1.0
  P  P10  1  0.741  0.548  0.795  1.0
  P  P11  1  0.746  0.249  0.196  1.0
  P  P12  1  0.737  0.947  0.490  1.0
  P  P13  1  0.241  0.043  0.497  1.0
  P  P14  1  0.224  0.746  0.784  1.0
  P  P15  1  0.265  0.457  0.206  1.0
  O  O16  1  0.922  0.294  0.392  1.0
  O  O17  1  0.908  0.097  0.604  1.0
  O  O18  1  0.908  0.504  0.798  1.0
  O  O19  1  0.747  0.729  0.801  1.0
  O  O20  1  0.752  0.594  0.993  1.0
  O  O21  1  0.559  0.400  0.607  1.0
  O  O22  1  0.742  0.091  0.006  1.0
  O  O23  1  0.746  0.419  0.178  1.0
  O  O24  1  0.731  0.750  0.333  1.0
  O  O25  1  0.417  0.016  0.622  1.0
  O  O26  1  0.228  0.038  0.312  1.0
  O  O27  1  0.378  0.776  0.761  1.0
  O  O28  1  0.570  0.203  0.179  1.0
  O  O29  1  0.750  0.920  0.658  1.0
  O  O30  1  0.559  0.972  0.367  1.0
  O  O31  1  0.253  0.244  0.642  1.0
  O  O32  1  0.252  0.613  0.857  1.0
  O  O33  1  0.236  0.925  0.966  1.0
  O  O34  1  0.452  0.602  0.393  1.0
  O  O35  1  0.263  0.390  0.006  1.0
  O  O36  1  0.244  0.280  0.204  1.0
  O  O37  1  0.105  0.524  0.200  1.0
  O  O38  1  0.070  0.903  0.408  1.0
  O  O39  1  0.033  0.681  0.589  1.0
[/CIF]
.