The structure described by K3Tb is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. K(1) is bonded to eight equivalent K(1) and four equivalent Tb(1) atoms to form distorted KK8Tb4 cuboctahedra that share corners with four equivalent Tb(1)K12 cuboctahedra, corners with fourteen equivalent K(1)K8Tb4 cuboctahedra, edges with six equivalent Tb(1)K12 cuboctahedra, edges with twelve equivalent K(1)K8Tb4 cuboctahedra, faces with four equivalent Tb(1)K12 cuboctahedra, and faces with sixteen equivalent K(1)K8Tb4 cuboctahedra. Tb(1) is bonded to twelve equivalent K(1) atoms to form TbK12 cuboctahedra that share corners with six equivalent Tb(1)K12 cuboctahedra, corners with twelve equivalent K(1)K8Tb4 cuboctahedra, edges with eighteen equivalent K(1)K8Tb4 cuboctahedra, faces with eight equivalent Tb(1)K12 cuboctahedra, and faces with twelve equivalent K(1)K8Tb4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3Tb
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.638
_cell_length_b   8.638
_cell_length_c   7.110
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   459.472
_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  0.171  0.343  0.250  1.0
  K  K1  1  0.657  0.829  0.250  1.0
  K  K2  1  0.171  0.829  0.250  1.0
  K  K3  1  0.829  0.657  0.750  1.0
  K  K4  1  0.343  0.171  0.750  1.0
  K  K5  1  0.829  0.171  0.750  1.0
  Tb  Tb6  1  0.333  0.667  0.750  1.0
  Tb  Tb7  1  0.667  0.333  0.250  1.0
[/CIF]
.
The structure described by K3Tb is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. K(1) is bonded to eight equivalent K(1) and four equivalent Tb(1) atoms to form distorted KK8Tb4 cuboctahedra that share corners with four equivalent Tb(1)K12 cuboctahedra, corners with fourteen equivalent K(1)K8Tb4 cuboctahedra, edges with six equivalent Tb(1)K12 cuboctahedra, edges with twelve equivalent K(1)K8Tb4 cuboctahedra, faces with four equivalent Tb(1)K12 cuboctahedra, and faces with sixteen equivalent K(1)K8Tb4 cuboctahedra. Tb(1) is bonded to twelve equivalent K(1) atoms to form TbK12 cuboctahedra that share corners with six equivalent Tb(1)K12 cuboctahedra, corners with twelve equivalent K(1)K8Tb4 cuboctahedra, edges with eighteen equivalent K(1)K8Tb4 cuboctahedra, faces with eight equivalent Tb(1)K12 cuboctahedra, and faces with twelve equivalent K(1)K8Tb4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3Tb
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.638
_cell_length_b   8.638
_cell_length_c   7.110
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   459.472
_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  0.171  0.343  0.250  1.0
  K  K1  1  0.657  0.829  0.250  1.0
  K  K2  1  0.171  0.829  0.250  1.0
  K  K3  1  0.829  0.657  0.750  1.0
  K  K4  1  0.343  0.171  0.750  1.0
  K  K5  1  0.829  0.171  0.750  1.0
  Tb  Tb6  1  0.333  0.667  0.750  1.0
  Tb  Tb7  1  0.667  0.333  0.250  1.0
[/CIF]
.