The crystal structure described by Eu3Zr is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. There are two inequivalent Eu sites. In the first Eu site, Eu(1) is bonded to four equivalent Eu(1), four equivalent Eu(2), and four equivalent Zr(1) atoms to form EuEu8Zr4 cuboctahedra that share corners with twelve equivalent Eu(1)Eu8Zr4 cuboctahedra, edges with eight equivalent Eu(1)Eu8Zr4 cuboctahedra, edges with eight equivalent Eu(2)Eu8Zr4 cuboctahedra, edges with eight equivalent Zr(1)Eu12 cuboctahedra, faces with four equivalent Eu(2)Eu8Zr4 cuboctahedra, faces with four equivalent Zr(1)Eu12 cuboctahedra, and faces with ten equivalent Eu(1)Eu8Zr4 cuboctahedra. In the second Eu site, Eu(2) is bonded to eight equivalent Eu(1) and four equivalent Zr(1) atoms to form EuEu8Zr4 cuboctahedra that share corners with four equivalent Eu(2)Eu8Zr4 cuboctahedra, corners with eight equivalent Zr(1)Eu12 cuboctahedra, edges with eight equivalent Eu(2)Eu8Zr4 cuboctahedra, edges with sixteen equivalent Eu(1)Eu8Zr4 cuboctahedra, faces with four equivalent Eu(2)Eu8Zr4 cuboctahedra, faces with six equivalent Zr(1)Eu12 cuboctahedra, and faces with eight equivalent Eu(1)Eu8Zr4 cuboctahedra. Zr(1) is bonded to four equivalent Eu(2) and eight equivalent Eu(1) atoms to form ZrEu12 cuboctahedra that share corners with four equivalent Zr(1)Eu12 cuboctahedra, corners with eight equivalent Eu(2)Eu8Zr4 cuboctahedra, edges with eight equivalent Zr(1)Eu12 cuboctahedra, edges with sixteen equivalent Eu(1)Eu8Zr4 cuboctahedra, faces with four equivalent Zr(1)Eu12 cuboctahedra, faces with six equivalent Eu(2)Eu8Zr4 cuboctahedra, and faces with eight equivalent Eu(1)Eu8Zr4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Eu3Zr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.279
_cell_length_b   6.279
_cell_length_c   6.279
_cell_angle_alpha   131.127
_cell_angle_beta   131.127
_cell_angle_gamma   71.611
_symmetry_Int_Tables_number   1
_cell_volume   137.458
_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
  Eu  Eu0  1  0.750  0.250  0.500  1.0
  Eu  Eu1  1  0.250  0.750  0.500  1.0
  Eu  Eu2  1  0.500  0.500  0.000  1.0
  Zr  Zr3  1  0.000  0.000  0.000  1.0
[/CIF]
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The crystal structure described by Eu3Zr is beta Cu3Ti-like structured and crystallizes in the tetragonal I4/mmm space group. There are two inequivalent Eu sites. In the first Eu site, Eu(1) is bonded to four equivalent Eu(1), four equivalent Eu(2), and four equivalent Zr(1) atoms to form EuEu8Zr4 cuboctahedra that share corners with twelve equivalent Eu(1)Eu8Zr4 cuboctahedra, edges with eight equivalent Eu(1)Eu8Zr4 cuboctahedra, edges with eight equivalent Eu(2)Eu8Zr4 cuboctahedra, edges with eight equivalent Zr(1)Eu12 cuboctahedra, faces with four equivalent Eu(2)Eu8Zr4 cuboctahedra, faces with four equivalent Zr(1)Eu12 cuboctahedra, and faces with ten equivalent Eu(1)Eu8Zr4 cuboctahedra. In the second Eu site, Eu(2) is bonded to eight equivalent Eu(1) and four equivalent Zr(1) atoms to form EuEu8Zr4 cuboctahedra that share corners with four equivalent Eu(2)Eu8Zr4 cuboctahedra, corners with eight equivalent Zr(1)Eu12 cuboctahedra, edges with eight equivalent Eu(2)Eu8Zr4 cuboctahedra, edges with sixteen equivalent Eu(1)Eu8Zr4 cuboctahedra, faces with four equivalent Eu(2)Eu8Zr4 cuboctahedra, faces with six equivalent Zr(1)Eu12 cuboctahedra, and faces with eight equivalent Eu(1)Eu8Zr4 cuboctahedra. Zr(1) is bonded to four equivalent Eu(2) and eight equivalent Eu(1) atoms to form ZrEu12 cuboctahedra that share corners with four equivalent Zr(1)Eu12 cuboctahedra, corners with eight equivalent Eu(2)Eu8Zr4 cuboctahedra, edges with eight equivalent Zr(1)Eu12 cuboctahedra, edges with sixteen equivalent Eu(1)Eu8Zr4 cuboctahedra, faces with four equivalent Zr(1)Eu12 cuboctahedra, faces with six equivalent Eu(2)Eu8Zr4 cuboctahedra, and faces with eight equivalent Eu(1)Eu8Zr4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Eu3Zr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.279
_cell_length_b   6.279
_cell_length_c   6.279
_cell_angle_alpha   131.127
_cell_angle_beta   131.127
_cell_angle_gamma   71.611
_symmetry_Int_Tables_number   1
_cell_volume   137.458
_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
  Eu  Eu0  1  0.750  0.250  0.500  1.0
  Eu  Eu1  1  0.250  0.750  0.500  1.0
  Eu  Eu2  1  0.500  0.500  0.000  1.0
  Zr  Zr3  1  0.000  0.000  0.000  1.0
[/CIF]
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