The structure described by Pb5(PO4)3F crystallizes in the hexagonal P6_3/m space group. There are two inequivalent Pb sites. In the first Pb site, Pb(1) is bonded in a 6-coordinate geometry to three equivalent O(1) and three equivalent O(3) atoms. In the second Pb site, Pb(2) is bonded to one O(1), four equivalent O(2), and one F(1) atom to form distorted PbO5F pentagonal pyramids that share corners with six equivalent Pb(2)O5F pentagonal pyramids, corners with three equivalent P(1)O4 tetrahedra, and  an edgeedge with one P(1)O4 tetrahedra. P(1) is bonded to one O(1), one O(3), and two equivalent O(2) atoms to form PO4 tetrahedra that share corners with three equivalent Pb(2)O5F pentagonal pyramids and  an edgeedge with one Pb(2)O5F pentagonal pyramid. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Pb(2), two equivalent Pb(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to two equivalent Pb(2) and one P(1) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to two equivalent Pb(1) and one P(1) atom. F(1) is bonded in a trigonal planar geometry to three equivalent Pb(2) atoms. is represented by the CIF file [CIF]
data_P3Pb5O12F
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.030
_cell_length_b   10.030
_cell_length_c   7.485
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   652.018
_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
  P  P0  1  0.629  0.030  0.250  1.0
  P  P1  1  0.970  0.599  0.250  1.0
  P  P2  1  0.371  0.970  0.750  1.0
  P  P3  1  0.030  0.401  0.750  1.0
  P  P4  1  0.401  0.371  0.250  1.0
  P  P5  1  0.599  0.629  0.750  1.0
  Pb  Pb6  1  0.667  0.333  0.502  1.0
  Pb  Pb7  1  0.667  0.333  0.998  1.0
  Pb  Pb8  1  0.995  0.246  0.250  1.0
  Pb  Pb9  1  0.754  0.750  0.250  1.0
  Pb  Pb10  1  0.333  0.667  0.002  1.0
  Pb  Pb11  1  0.250  0.005  0.250  1.0
  Pb  Pb12  1  0.246  0.250  0.750  1.0
  Pb  Pb13  1  0.750  0.995  0.750  1.0
  Pb  Pb14  1  0.005  0.754  0.750  1.0
  Pb  Pb15  1  0.333  0.667  0.498  1.0
  O  O16  1  0.582  0.464  0.250  1.0
  O  O17  1  0.418  0.536  0.750  1.0
  O  O18  1  0.083  0.347  0.582  1.0
  O  O19  1  0.917  0.653  0.082  1.0
  O  O20  1  0.264  0.917  0.582  1.0
  O  O21  1  0.736  0.083  0.418  1.0
  O  O22  1  0.653  0.736  0.918  1.0
  O  O23  1  0.663  0.517  0.750  1.0
  O  O24  1  0.483  0.146  0.750  1.0
  O  O25  1  0.536  0.119  0.250  1.0
  O  O26  1  0.337  0.483  0.250  1.0
  O  O27  1  0.517  0.854  0.250  1.0
  O  O28  1  0.347  0.264  0.418  1.0
  O  O29  1  0.881  0.418  0.250  1.0
  O  O30  1  0.653  0.736  0.582  1.0
  O  O31  1  0.264  0.917  0.918  1.0
  O  O32  1  0.119  0.582  0.750  1.0
  O  O33  1  0.083  0.347  0.918  1.0
  O  O34  1  0.464  0.881  0.750  1.0
  O  O35  1  0.917  0.653  0.418  1.0
  O  O36  1  0.736  0.083  0.082  1.0
  O  O37  1  0.146  0.663  0.250  1.0
  O  O38  1  0.347  0.264  0.082  1.0
  O  O39  1  0.854  0.337  0.750  1.0
  F  F40  1  0.000  0.000  0.250  1.0
  F  F41  1  0.000  0.000  0.750  1.0
[/CIF]
.
The structure described by Pb5(PO4)3F crystallizes in the hexagonal P6_3/m space group. There are two inequivalent Pb sites. In the first Pb site, Pb(1) is bonded in a 6-coordinate geometry to three equivalent O(1) and three equivalent O(3) atoms. In the second Pb site, Pb(2) is bonded to one O(1), four equivalent O(2), and one F(1) atom to form distorted PbO5F pentagonal pyramids that share corners with six equivalent Pb(2)O5F pentagonal pyramids, corners with three equivalent P(1)O4 tetrahedra, and  an edgeedge with one P(1)O4 tetrahedra. P(1) is bonded to one O(1), one O(3), and two equivalent O(2) atoms to form PO4 tetrahedra that share corners with three equivalent Pb(2)O5F pentagonal pyramids and  an edgeedge with one Pb(2)O5F pentagonal pyramid. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Pb(2), two equivalent Pb(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to two equivalent Pb(2) and one P(1) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to two equivalent Pb(1) and one P(1) atom. F(1) is bonded in a trigonal planar geometry to three equivalent Pb(2) atoms. is represented by the CIF file [CIF]
data_P3Pb5O12F
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.030
_cell_length_b   10.030
_cell_length_c   7.485
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   652.018
_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
  P  P0  1  0.629  0.030  0.250  1.0
  P  P1  1  0.970  0.599  0.250  1.0
  P  P2  1  0.371  0.970  0.750  1.0
  P  P3  1  0.030  0.401  0.750  1.0
  P  P4  1  0.401  0.371  0.250  1.0
  P  P5  1  0.599  0.629  0.750  1.0
  Pb  Pb6  1  0.667  0.333  0.502  1.0
  Pb  Pb7  1  0.667  0.333  0.998  1.0
  Pb  Pb8  1  0.995  0.246  0.250  1.0
  Pb  Pb9  1  0.754  0.750  0.250  1.0
  Pb  Pb10  1  0.333  0.667  0.002  1.0
  Pb  Pb11  1  0.250  0.005  0.250  1.0
  Pb  Pb12  1  0.246  0.250  0.750  1.0
  Pb  Pb13  1  0.750  0.995  0.750  1.0
  Pb  Pb14  1  0.005  0.754  0.750  1.0
  Pb  Pb15  1  0.333  0.667  0.498  1.0
  O  O16  1  0.582  0.464  0.250  1.0
  O  O17  1  0.418  0.536  0.750  1.0
  O  O18  1  0.083  0.347  0.582  1.0
  O  O19  1  0.917  0.653  0.082  1.0
  O  O20  1  0.264  0.917  0.582  1.0
  O  O21  1  0.736  0.083  0.418  1.0
  O  O22  1  0.653  0.736  0.918  1.0
  O  O23  1  0.663  0.517  0.750  1.0
  O  O24  1  0.483  0.146  0.750  1.0
  O  O25  1  0.536  0.119  0.250  1.0
  O  O26  1  0.337  0.483  0.250  1.0
  O  O27  1  0.517  0.854  0.250  1.0
  O  O28  1  0.347  0.264  0.418  1.0
  O  O29  1  0.881  0.418  0.250  1.0
  O  O30  1  0.653  0.736  0.582  1.0
  O  O31  1  0.264  0.917  0.918  1.0
  O  O32  1  0.119  0.582  0.750  1.0
  O  O33  1  0.083  0.347  0.918  1.0
  O  O34  1  0.464  0.881  0.750  1.0
  O  O35  1  0.917  0.653  0.418  1.0
  O  O36  1  0.736  0.083  0.082  1.0
  O  O37  1  0.146  0.663  0.250  1.0
  O  O38  1  0.347  0.264  0.082  1.0
  O  O39  1  0.854  0.337  0.750  1.0
  F  F40  1  0.000  0.000  0.250  1.0
  F  F41  1  0.000  0.000  0.750  1.0
[/CIF]
.