The structure described by K3Fe5F15 crystallizes in the tetragonal P4/mbm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 6-coordinate geometry to two equivalent F(5) and four equivalent F(2) atoms. In the second K site, K(2) is bonded to four equivalent F(4) and eight equivalent F(1) atoms to form KF12 cuboctahedra that share faces with two equivalent K(2)F12 cuboctahedra and faces with eight equivalent Fe(1)F6 octahedra. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one F(2), one F(5), two equivalent F(1), and two equivalent F(4) atoms to form FeF6 octahedra that share  a cornercorner with one Fe(2)F6 octahedra, corners with five equivalent Fe(1)F6 octahedra, and faces with two equivalent K(2)F12 cuboctahedra. The corner-sharing octahedral tilt angles range from 2-43°. In the second Fe site, Fe(2) is bonded to two equivalent F(3) and four equivalent F(2) atoms to form corner-sharing FeF6 octahedra. The corner-sharing octahedral tilt angles range from 0-35°. There are five inequivalent F sites. In the first F site, F(3) is bonded in a linear geometry to two equivalent Fe(2) atoms. In the second F site, F(4) is bonded in a distorted linear geometry to one K(2) and two equivalent Fe(1) atoms. In the third F site, F(5) is bonded to two equivalent K(1) and two equivalent Fe(1) atoms to form distorted corner-sharing FK2Fe2 tetrahedra. In the fourth F site, F(1) is bonded in a distorted linear geometry to two equivalent K(2) and two equivalent Fe(1) atoms. In the fifth F site, F(2) is bonded in a distorted bent 150 degrees geometry to two equivalent K(1), one Fe(1), and one Fe(2) atom. is represented by the CIF file [CIF]
data_K3Fe5F15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.898
_cell_length_b   12.898
_cell_length_c   4.056
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   674.730
_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
  K  K0  1  0.675  0.825  0.500  1.0
  K  K1  1  0.325  0.175  0.500  1.0
  K  K2  1  0.175  0.675  0.500  1.0
  K  K3  1  0.825  0.325  0.500  1.0
  K  K4  1  0.500  0.500  0.500  1.0
  K  K5  1  0.000  0.000  0.500  1.0
  Fe  Fe6  1  0.287  0.423  0.000  1.0
  Fe  Fe7  1  0.713  0.577  0.000  1.0
  Fe  Fe8  1  0.787  0.077  0.000  1.0
  Fe  Fe9  1  0.213  0.923  0.000  1.0
  Fe  Fe10  1  0.577  0.287  0.000  1.0
  Fe  Fe11  1  0.423  0.713  0.000  1.0
  Fe  Fe12  1  0.077  0.213  0.000  1.0
  Fe  Fe13  1  0.923  0.787  0.000  1.0
  Fe  Fe14  1  0.500  0.000  0.000  1.0
  Fe  Fe15  1  0.000  0.500  0.000  1.0
  F  F16  1  0.430  0.359  0.000  1.0
  F  F17  1  0.570  0.641  0.000  1.0
  F  F18  1  0.930  0.141  0.000  1.0
  F  F19  1  0.070  0.859  0.000  1.0
  F  F20  1  0.641  0.430  0.000  1.0
  F  F21  1  0.359  0.570  0.000  1.0
  F  F22  1  0.141  0.070  0.000  1.0
  F  F23  1  0.859  0.930  0.000  1.0
  F  F24  1  0.493  0.152  0.000  1.0
  F  F25  1  0.507  0.848  0.000  1.0
  F  F26  1  0.993  0.348  0.000  1.0
  F  F27  1  0.007  0.652  0.000  1.0
  F  F28  1  0.848  0.493  0.000  1.0
  F  F29  1  0.152  0.507  0.000  1.0
  F  F30  1  0.348  0.007  0.000  1.0
  F  F31  1  0.652  0.993  0.000  1.0
  F  F32  1  0.000  0.500  0.500  1.0
  F  F33  1  0.500  0.000  0.500  1.0
  F  F34  1  0.924  0.791  0.500  1.0
  F  F35  1  0.076  0.209  0.500  1.0
  F  F36  1  0.424  0.709  0.500  1.0
  F  F37  1  0.576  0.291  0.500  1.0
  F  F38  1  0.723  0.223  0.000  1.0
  F  F39  1  0.277  0.777  0.000  1.0
  F  F40  1  0.223  0.277  0.000  1.0
  F  F41  1  0.777  0.723  0.000  1.0
  F  F42  1  0.209  0.924  0.500  1.0
  F  F43  1  0.791  0.076  0.500  1.0
  F  F44  1  0.709  0.576  0.500  1.0
  F  F45  1  0.291  0.424  0.500  1.0
[/CIF]
.
The structure described by K3Fe5F15 crystallizes in the tetragonal P4/mbm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 6-coordinate geometry to two equivalent F(5) and four equivalent F(2) atoms. In the second K site, K(2) is bonded to four equivalent F(4) and eight equivalent F(1) atoms to form KF12 cuboctahedra that share faces with two equivalent K(2)F12 cuboctahedra and faces with eight equivalent Fe(1)F6 octahedra. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one F(2), one F(5), two equivalent F(1), and two equivalent F(4) atoms to form FeF6 octahedra that share  a cornercorner with one Fe(2)F6 octahedra, corners with five equivalent Fe(1)F6 octahedra, and faces with two equivalent K(2)F12 cuboctahedra. The corner-sharing octahedral tilt angles range from 2-43°. In the second Fe site, Fe(2) is bonded to two equivalent F(3) and four equivalent F(2) atoms to form corner-sharing FeF6 octahedra. The corner-sharing octahedral tilt angles range from 0-35°. There are five inequivalent F sites. In the first F site, F(3) is bonded in a linear geometry to two equivalent Fe(2) atoms. In the second F site, F(4) is bonded in a distorted linear geometry to one K(2) and two equivalent Fe(1) atoms. In the third F site, F(5) is bonded to two equivalent K(1) and two equivalent Fe(1) atoms to form distorted corner-sharing FK2Fe2 tetrahedra. In the fourth F site, F(1) is bonded in a distorted linear geometry to two equivalent K(2) and two equivalent Fe(1) atoms. In the fifth F site, F(2) is bonded in a distorted bent 150 degrees geometry to two equivalent K(1), one Fe(1), and one Fe(2) atom. is represented by the CIF file [CIF]
data_K3Fe5F15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.898
_cell_length_b   12.898
_cell_length_c   4.056
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   674.730
_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
  K  K0  1  0.675  0.825  0.500  1.0
  K  K1  1  0.325  0.175  0.500  1.0
  K  K2  1  0.175  0.675  0.500  1.0
  K  K3  1  0.825  0.325  0.500  1.0
  K  K4  1  0.500  0.500  0.500  1.0
  K  K5  1  0.000  0.000  0.500  1.0
  Fe  Fe6  1  0.287  0.423  0.000  1.0
  Fe  Fe7  1  0.713  0.577  0.000  1.0
  Fe  Fe8  1  0.787  0.077  0.000  1.0
  Fe  Fe9  1  0.213  0.923  0.000  1.0
  Fe  Fe10  1  0.577  0.287  0.000  1.0
  Fe  Fe11  1  0.423  0.713  0.000  1.0
  Fe  Fe12  1  0.077  0.213  0.000  1.0
  Fe  Fe13  1  0.923  0.787  0.000  1.0
  Fe  Fe14  1  0.500  0.000  0.000  1.0
  Fe  Fe15  1  0.000  0.500  0.000  1.0
  F  F16  1  0.430  0.359  0.000  1.0
  F  F17  1  0.570  0.641  0.000  1.0
  F  F18  1  0.930  0.141  0.000  1.0
  F  F19  1  0.070  0.859  0.000  1.0
  F  F20  1  0.641  0.430  0.000  1.0
  F  F21  1  0.359  0.570  0.000  1.0
  F  F22  1  0.141  0.070  0.000  1.0
  F  F23  1  0.859  0.930  0.000  1.0
  F  F24  1  0.493  0.152  0.000  1.0
  F  F25  1  0.507  0.848  0.000  1.0
  F  F26  1  0.993  0.348  0.000  1.0
  F  F27  1  0.007  0.652  0.000  1.0
  F  F28  1  0.848  0.493  0.000  1.0
  F  F29  1  0.152  0.507  0.000  1.0
  F  F30  1  0.348  0.007  0.000  1.0
  F  F31  1  0.652  0.993  0.000  1.0
  F  F32  1  0.000  0.500  0.500  1.0
  F  F33  1  0.500  0.000  0.500  1.0
  F  F34  1  0.924  0.791  0.500  1.0
  F  F35  1  0.076  0.209  0.500  1.0
  F  F36  1  0.424  0.709  0.500  1.0
  F  F37  1  0.576  0.291  0.500  1.0
  F  F38  1  0.723  0.223  0.000  1.0
  F  F39  1  0.277  0.777  0.000  1.0
  F  F40  1  0.223  0.277  0.000  1.0
  F  F41  1  0.777  0.723  0.000  1.0
  F  F42  1  0.209  0.924  0.500  1.0
  F  F43  1  0.791  0.076  0.500  1.0
  F  F44  1  0.709  0.576  0.500  1.0
  F  F45  1  0.291  0.424  0.500  1.0
[/CIF]
.