The compound described by K3Pr 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 Pr(1) atoms to form distorted KK8Pr4 cuboctahedra that share corners with four equivalent Pr(1)K12 cuboctahedra, corners with fourteen equivalent K(1)K8Pr4 cuboctahedra, edges with six equivalent Pr(1)K12 cuboctahedra, edges with twelve equivalent K(1)K8Pr4 cuboctahedra, faces with four equivalent Pr(1)K12 cuboctahedra, and faces with sixteen equivalent K(1)K8Pr4 cuboctahedra. Pr(1) is bonded to twelve equivalent K(1) atoms to form PrK12 cuboctahedra that share corners with six equivalent Pr(1)K12 cuboctahedra, corners with twelve equivalent K(1)K8Pr4 cuboctahedra, edges with eighteen equivalent K(1)K8Pr4 cuboctahedra, faces with eight equivalent Pr(1)K12 cuboctahedra, and faces with twelve equivalent K(1)K8Pr4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3Pr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.684
_cell_length_b   8.684
_cell_length_c   7.177
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   468.652
_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  0.342  0.250  1.0
  K  K1  1  0.658  0.829  0.250  1.0
  K  K2  1  0.171  0.829  0.250  1.0
  K  K3  1  0.829  0.658  0.750  1.0
  K  K4  1  0.342  0.171  0.750  1.0
  K  K5  1  0.829  0.171  0.750  1.0
  Pr  Pr6  1  0.333  0.667  0.750  1.0
  Pr  Pr7  1  0.667  0.333  0.250  1.0
[/CIF]
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The compound described by K3Pr 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 Pr(1) atoms to form distorted KK8Pr4 cuboctahedra that share corners with four equivalent Pr(1)K12 cuboctahedra, corners with fourteen equivalent K(1)K8Pr4 cuboctahedra, edges with six equivalent Pr(1)K12 cuboctahedra, edges with twelve equivalent K(1)K8Pr4 cuboctahedra, faces with four equivalent Pr(1)K12 cuboctahedra, and faces with sixteen equivalent K(1)K8Pr4 cuboctahedra. Pr(1) is bonded to twelve equivalent K(1) atoms to form PrK12 cuboctahedra that share corners with six equivalent Pr(1)K12 cuboctahedra, corners with twelve equivalent K(1)K8Pr4 cuboctahedra, edges with eighteen equivalent K(1)K8Pr4 cuboctahedra, faces with eight equivalent Pr(1)K12 cuboctahedra, and faces with twelve equivalent K(1)K8Pr4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3Pr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.684
_cell_length_b   8.684
_cell_length_c   7.177
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   468.652
_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  0.342  0.250  1.0
  K  K1  1  0.658  0.829  0.250  1.0
  K  K2  1  0.171  0.829  0.250  1.0
  K  K3  1  0.829  0.658  0.750  1.0
  K  K4  1  0.342  0.171  0.750  1.0
  K  K5  1  0.829  0.171  0.750  1.0
  Pr  Pr6  1  0.333  0.667  0.750  1.0
  Pr  Pr7  1  0.667  0.333  0.250  1.0
[/CIF]
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