The structure described by RbK3Mn2F12 crystallizes in the tetragonal P-4m2 space group. Rb(1) is bonded to four equivalent F(1) and eight equivalent F(3) atoms to form RbF12 cuboctahedra that share corners with four equivalent Rb(1)F12 cuboctahedra, corners with eight equivalent K(1)F12 cuboctahedra, faces with two equivalent K(2)F12 cuboctahedra, faces with four equivalent K(3)F12 cuboctahedra, and faces with four equivalent Mn(1)F6 octahedra. There are three inequivalent K sites. In the first K site, K(1) is bonded to four equivalent F(2) and eight equivalent F(3) atoms to form KF12 cuboctahedra that share corners with four equivalent K(1)F12 cuboctahedra, corners with eight equivalent Rb(1)F12 cuboctahedra, faces with two equivalent K(3)F12 cuboctahedra, faces with four equivalent K(2)F12 cuboctahedra, and faces with four equivalent Mn(1)F6 octahedra. In the second K site, K(2) is bonded to four equivalent F(2) and eight equivalent F(3) atoms to form KF12 cuboctahedra that share corners with four equivalent K(2)F12 cuboctahedra, corners with eight equivalent K(3)F12 cuboctahedra, faces with two equivalent Rb(1)F12 cuboctahedra, faces with four equivalent K(1)F12 cuboctahedra, and faces with four equivalent Mn(1)F6 octahedra. In the third K site, K(3) is bonded to four equivalent F(1) and eight equivalent F(3) atoms to form KF12 cuboctahedra that share corners with four equivalent K(3)F12 cuboctahedra, corners with eight equivalent K(2)F12 cuboctahedra, faces with two equivalent K(1)F12 cuboctahedra, faces with four equivalent Rb(1)F12 cuboctahedra, and faces with four equivalent Mn(1)F6 octahedra. Mn(1) is bonded to one F(1), one F(2), and four equivalent F(3) atoms to form MnF6 octahedra that share faces with two equivalent Rb(1)F12 cuboctahedra, faces with two equivalent K(1)F12 cuboctahedra, faces with two equivalent K(2)F12 cuboctahedra, and faces with two equivalent K(3)F12 cuboctahedra. There are three inequivalent F sites. In the first F site, F(1) is bonded in a single-bond geometry to two equivalent Rb(1), two equivalent K(3), and one Mn(1) atom. In the second F site, F(2) is bonded in a single-bond geometry to two equivalent K(1), two equivalent K(2), and one Mn(1) atom. In the third F site, F(3) is bonded in a single-bond geometry to one Rb(1), one K(1), one K(2), one K(3), and one Mn(1) atom. is represented by the CIF file [CIF]
data_K3RbMn2F12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.985
_cell_length_b   8.461
_cell_length_c   5.985
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   303.107
_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
  K  K0  1  0.000  0.750  0.500  1.0
  K  K1  1  0.500  0.750  0.000  1.0
  K  K2  1  0.000  0.250  0.500  1.0
  Rb  Rb3  1  0.500  0.250  0.000  1.0
  Mn  Mn4  1  0.000  0.999  0.000  1.0
  Mn  Mn5  1  0.500  0.501  0.500  1.0
  F  F6  1  0.000  0.217  0.000  1.0
  F  F7  1  0.500  0.719  0.500  1.0
  F  F8  1  0.281  0.502  0.283  1.0
  F  F9  1  0.783  0.998  0.781  1.0
  F  F10  1  0.281  0.502  0.717  1.0
  F  F11  1  0.783  0.998  0.219  1.0
  F  F12  1  0.000  0.781  0.000  1.0
  F  F13  1  0.500  0.283  0.500  1.0
  F  F14  1  0.719  0.502  0.717  1.0
  F  F15  1  0.217  0.998  0.219  1.0
  F  F16  1  0.719  0.502  0.283  1.0
  F  F17  1  0.217  0.998  0.781  1.0
[/CIF]
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The structure described by RbK3Mn2F12 crystallizes in the tetragonal P-4m2 space group. Rb(1) is bonded to four equivalent F(1) and eight equivalent F(3) atoms to form RbF12 cuboctahedra that share corners with four equivalent Rb(1)F12 cuboctahedra, corners with eight equivalent K(1)F12 cuboctahedra, faces with two equivalent K(2)F12 cuboctahedra, faces with four equivalent K(3)F12 cuboctahedra, and faces with four equivalent Mn(1)F6 octahedra. There are three inequivalent K sites. In the first K site, K(1) is bonded to four equivalent F(2) and eight equivalent F(3) atoms to form KF12 cuboctahedra that share corners with four equivalent K(1)F12 cuboctahedra, corners with eight equivalent Rb(1)F12 cuboctahedra, faces with two equivalent K(3)F12 cuboctahedra, faces with four equivalent K(2)F12 cuboctahedra, and faces with four equivalent Mn(1)F6 octahedra. In the second K site, K(2) is bonded to four equivalent F(2) and eight equivalent F(3) atoms to form KF12 cuboctahedra that share corners with four equivalent K(2)F12 cuboctahedra, corners with eight equivalent K(3)F12 cuboctahedra, faces with two equivalent Rb(1)F12 cuboctahedra, faces with four equivalent K(1)F12 cuboctahedra, and faces with four equivalent Mn(1)F6 octahedra. In the third K site, K(3) is bonded to four equivalent F(1) and eight equivalent F(3) atoms to form KF12 cuboctahedra that share corners with four equivalent K(3)F12 cuboctahedra, corners with eight equivalent K(2)F12 cuboctahedra, faces with two equivalent K(1)F12 cuboctahedra, faces with four equivalent Rb(1)F12 cuboctahedra, and faces with four equivalent Mn(1)F6 octahedra. Mn(1) is bonded to one F(1), one F(2), and four equivalent F(3) atoms to form MnF6 octahedra that share faces with two equivalent Rb(1)F12 cuboctahedra, faces with two equivalent K(1)F12 cuboctahedra, faces with two equivalent K(2)F12 cuboctahedra, and faces with two equivalent K(3)F12 cuboctahedra. There are three inequivalent F sites. In the first F site, F(1) is bonded in a single-bond geometry to two equivalent Rb(1), two equivalent K(3), and one Mn(1) atom. In the second F site, F(2) is bonded in a single-bond geometry to two equivalent K(1), two equivalent K(2), and one Mn(1) atom. In the third F site, F(3) is bonded in a single-bond geometry to one Rb(1), one K(1), one K(2), one K(3), and one Mn(1) atom. is represented by the CIF file [CIF]
data_K3RbMn2F12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.985
_cell_length_b   8.461
_cell_length_c   5.985
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   303.107
_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
  K  K0  1  0.000  0.750  0.500  1.0
  K  K1  1  0.500  0.750  0.000  1.0
  K  K2  1  0.000  0.250  0.500  1.0
  Rb  Rb3  1  0.500  0.250  0.000  1.0
  Mn  Mn4  1  0.000  0.999  0.000  1.0
  Mn  Mn5  1  0.500  0.501  0.500  1.0
  F  F6  1  0.000  0.217  0.000  1.0
  F  F7  1  0.500  0.719  0.500  1.0
  F  F8  1  0.281  0.502  0.283  1.0
  F  F9  1  0.783  0.998  0.781  1.0
  F  F10  1  0.281  0.502  0.717  1.0
  F  F11  1  0.783  0.998  0.219  1.0
  F  F12  1  0.000  0.781  0.000  1.0
  F  F13  1  0.500  0.283  0.500  1.0
  F  F14  1  0.719  0.502  0.717  1.0
  F  F15  1  0.217  0.998  0.219  1.0
  F  F16  1  0.719  0.502  0.283  1.0
  F  F17  1  0.217  0.998  0.781  1.0
[/CIF]
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