The compound described by CaEu3 is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. Ca(1) is bonded to four equivalent Eu(2) and eight equivalent Eu(1) atoms to form CaEu12 cuboctahedra that share corners with four equivalent Ca(1)Eu12 cuboctahedra, corners with eight equivalent Eu(2)Ca4Eu8 cuboctahedra, edges with eight equivalent Ca(1)Eu12 cuboctahedra, edges with sixteen equivalent Eu(1)Ca4Eu8 cuboctahedra, faces with four equivalent Ca(1)Eu12 cuboctahedra, faces with six equivalent Eu(2)Ca4Eu8 cuboctahedra, and faces with eight equivalent Eu(1)Ca4Eu8 cuboctahedra. There are two inequivalent Eu sites. In the first Eu site, Eu(1) is bonded to four equivalent Ca(1), four equivalent Eu(1), and four equivalent Eu(2) atoms to form EuCa4Eu8 cuboctahedra that share corners with twelve equivalent Eu(1)Ca4Eu8 cuboctahedra, edges with eight equivalent Ca(1)Eu12 cuboctahedra, edges with eight equivalent Eu(1)Ca4Eu8 cuboctahedra, edges with eight equivalent Eu(2)Ca4Eu8 cuboctahedra, faces with four equivalent Ca(1)Eu12 cuboctahedra, faces with four equivalent Eu(2)Ca4Eu8 cuboctahedra, and faces with ten equivalent Eu(1)Ca4Eu8 cuboctahedra. In the second Eu site, Eu(2) is bonded to four equivalent Ca(1) and eight equivalent Eu(1) atoms to form EuCa4Eu8 cuboctahedra that share corners with four equivalent Eu(2)Ca4Eu8 cuboctahedra, corners with eight equivalent Ca(1)Eu12 cuboctahedra, edges with eight equivalent Eu(2)Ca4Eu8 cuboctahedra, edges with sixteen equivalent Eu(1)Ca4Eu8 cuboctahedra, faces with four equivalent Eu(2)Ca4Eu8 cuboctahedra, faces with six equivalent Ca(1)Eu12 cuboctahedra, and faces with eight equivalent Eu(1)Ca4Eu8 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CaEu3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.925
_cell_length_b   6.925
_cell_length_c   6.925
_cell_angle_alpha   132.677
_cell_angle_beta   132.677
_cell_angle_gamma   69.161
_symmetry_Int_Tables_number   1
_cell_volume   176.170
_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
  Ca  Ca0  1  0.000  0.000  0.000  1.0
  Eu  Eu1  1  0.750  0.250  0.500  1.0
  Eu  Eu2  1  0.250  0.750  0.500  1.0
  Eu  Eu3  1  0.500  0.500  0.000  1.0
[/CIF]
.
The compound described by CaEu3 is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. Ca(1) is bonded to four equivalent Eu(2) and eight equivalent Eu(1) atoms to form CaEu12 cuboctahedra that share corners with four equivalent Ca(1)Eu12 cuboctahedra, corners with eight equivalent Eu(2)Ca4Eu8 cuboctahedra, edges with eight equivalent Ca(1)Eu12 cuboctahedra, edges with sixteen equivalent Eu(1)Ca4Eu8 cuboctahedra, faces with four equivalent Ca(1)Eu12 cuboctahedra, faces with six equivalent Eu(2)Ca4Eu8 cuboctahedra, and faces with eight equivalent Eu(1)Ca4Eu8 cuboctahedra. There are two inequivalent Eu sites. In the first Eu site, Eu(1) is bonded to four equivalent Ca(1), four equivalent Eu(1), and four equivalent Eu(2) atoms to form EuCa4Eu8 cuboctahedra that share corners with twelve equivalent Eu(1)Ca4Eu8 cuboctahedra, edges with eight equivalent Ca(1)Eu12 cuboctahedra, edges with eight equivalent Eu(1)Ca4Eu8 cuboctahedra, edges with eight equivalent Eu(2)Ca4Eu8 cuboctahedra, faces with four equivalent Ca(1)Eu12 cuboctahedra, faces with four equivalent Eu(2)Ca4Eu8 cuboctahedra, and faces with ten equivalent Eu(1)Ca4Eu8 cuboctahedra. In the second Eu site, Eu(2) is bonded to four equivalent Ca(1) and eight equivalent Eu(1) atoms to form EuCa4Eu8 cuboctahedra that share corners with four equivalent Eu(2)Ca4Eu8 cuboctahedra, corners with eight equivalent Ca(1)Eu12 cuboctahedra, edges with eight equivalent Eu(2)Ca4Eu8 cuboctahedra, edges with sixteen equivalent Eu(1)Ca4Eu8 cuboctahedra, faces with four equivalent Eu(2)Ca4Eu8 cuboctahedra, faces with six equivalent Ca(1)Eu12 cuboctahedra, and faces with eight equivalent Eu(1)Ca4Eu8 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CaEu3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.925
_cell_length_b   6.925
_cell_length_c   6.925
_cell_angle_alpha   132.677
_cell_angle_beta   132.677
_cell_angle_gamma   69.161
_symmetry_Int_Tables_number   1
_cell_volume   176.170
_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
  Ca  Ca0  1  0.000  0.000  0.000  1.0
  Eu  Eu1  1  0.750  0.250  0.500  1.0
  Eu  Eu2  1  0.250  0.750  0.500  1.0
  Eu  Eu3  1  0.500  0.500  0.000  1.0
[/CIF]
.