The crystal structure described by K3Rh is alpha bismuth trifluoride structured and crystallizes in the tetragonal I4/mmm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded to four equivalent K(2) and four equivalent Rh(1) atoms to form distorted KK4Rh4 tetrahedra that share corners with eight equivalent K(2)K8Rh4 cuboctahedra, corners with eight equivalent K(1)K4Rh4 tetrahedra, edges with four equivalent K(2)K8Rh4 cuboctahedra, edges with twelve equivalent K(1)K4Rh4 tetrahedra, and faces with six equivalent K(1)K4Rh4 tetrahedra. In the second K site, K(2) is bonded to eight equivalent K(1) and four equivalent Rh(1) atoms to form KK8Rh4 cuboctahedra that share corners with four equivalent K(2)K8Rh4 cuboctahedra, corners with sixteen equivalent K(1)K4Rh4 tetrahedra, edges with eight equivalent K(2)K8Rh4 cuboctahedra, edges with eight equivalent K(1)K4Rh4 tetrahedra, and faces with four equivalent K(2)K8Rh4 cuboctahedra. Rh(1) is bonded in a distorted body-centered cubic geometry to four equivalent K(2) and eight equivalent K(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3Rh
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.880
_cell_length_b   5.880
_cell_length_c   5.880
_cell_angle_alpha   121.888
_cell_angle_beta   121.888
_cell_angle_gamma   86.760
_symmetry_Int_Tables_number   1
_cell_volume   139.386
_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  0.750  0.250  0.500  1.0
  K  K1  1  0.250  0.750  0.500  1.0
  K  K2  1  0.500  0.500  0.000  1.0
  Rh  Rh3  1  0.000  0.000  0.000  1.0
[/CIF]
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The crystal structure described by K3Rh is alpha bismuth trifluoride structured and crystallizes in the tetragonal I4/mmm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded to four equivalent K(2) and four equivalent Rh(1) atoms to form distorted KK4Rh4 tetrahedra that share corners with eight equivalent K(2)K8Rh4 cuboctahedra, corners with eight equivalent K(1)K4Rh4 tetrahedra, edges with four equivalent K(2)K8Rh4 cuboctahedra, edges with twelve equivalent K(1)K4Rh4 tetrahedra, and faces with six equivalent K(1)K4Rh4 tetrahedra. In the second K site, K(2) is bonded to eight equivalent K(1) and four equivalent Rh(1) atoms to form KK8Rh4 cuboctahedra that share corners with four equivalent K(2)K8Rh4 cuboctahedra, corners with sixteen equivalent K(1)K4Rh4 tetrahedra, edges with eight equivalent K(2)K8Rh4 cuboctahedra, edges with eight equivalent K(1)K4Rh4 tetrahedra, and faces with four equivalent K(2)K8Rh4 cuboctahedra. Rh(1) is bonded in a distorted body-centered cubic geometry to four equivalent K(2) and eight equivalent K(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3Rh
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.880
_cell_length_b   5.880
_cell_length_c   5.880
_cell_angle_alpha   121.888
_cell_angle_beta   121.888
_cell_angle_gamma   86.760
_symmetry_Int_Tables_number   1
_cell_volume   139.386
_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  0.750  0.250  0.500  1.0
  K  K1  1  0.250  0.750  0.500  1.0
  K  K2  1  0.500  0.500  0.000  1.0
  Rh  Rh3  1  0.000  0.000  0.000  1.0
[/CIF]
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