The material described by BaEuZr2O6 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. There are three inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to four equivalent O(3) and eight equivalent O(1) atoms to form BaO12 cuboctahedra that share corners with four equivalent Eu(2)O12 cuboctahedra, corners with eight equivalent Ba(2)O12 cuboctahedra, faces with two equivalent Eu(3)O12 cuboctahedra, faces with four equivalent Eu(1)O12 cuboctahedra, and faces with eight equivalent Zr(1)O6 octahedra. In the second Ba site, Ba(2) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(4) atoms to form BaO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, corners with four equivalent Ba(2)O12 cuboctahedra, corners with four equivalent Eu(2)O12 cuboctahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with two equivalent Eu(1)O12 cuboctahedra, faces with two equivalent Eu(3)O12 cuboctahedra, and faces with eight equivalent Zr(1)O6 octahedra. In the third Ba site, Ba(3) is bonded to four equivalent O(4) and eight equivalent O(2) atoms to form BaO12 cuboctahedra that share corners with four equivalent Eu(3)O12 cuboctahedra, corners with eight equivalent Eu(1)O12 cuboctahedra, faces with two equivalent Eu(2)O12 cuboctahedra, faces with four equivalent Ba(2)O12 cuboctahedra, and faces with eight equivalent Zr(1)O6 octahedra. There are three inequivalent Eu sites. In the first Eu site, Eu(1) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(3) atoms to form EuO12 cuboctahedra that share corners with four equivalent Ba(3)O12 cuboctahedra, corners with four equivalent Eu(1)O12 cuboctahedra, corners with four equivalent Eu(3)O12 cuboctahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with two equivalent Ba(2)O12 cuboctahedra, faces with two equivalent Eu(2)O12 cuboctahedra, and faces with eight equivalent Zr(1)O6 octahedra. In the second Eu site, Eu(2) is bonded to four equivalent O(3) and eight equivalent O(2) atoms to form EuO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, corners with eight equivalent Ba(2)O12 cuboctahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with four equivalent Eu(1)O12 cuboctahedra, and faces with eight equivalent Zr(1)O6 octahedra. In the third Eu site, Eu(3) is bonded to four equivalent O(4) and eight equivalent O(1) atoms to form EuO12 cuboctahedra that share corners with four equivalent Ba(3)O12 cuboctahedra, corners with eight equivalent Eu(1)O12 cuboctahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Ba(2)O12 cuboctahedra, and faces with eight equivalent Zr(1)O6 octahedra. Zr(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form ZrO6 octahedra that share corners with six equivalent Zr(1)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one Ba(3)O12 cuboctahedra,  a faceface with one Eu(2)O12 cuboctahedra,  a faceface with one Eu(3)O12 cuboctahedra, faces with two equivalent Ba(2)O12 cuboctahedra, and faces with two equivalent Eu(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-2°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to one Ba(1), one Ba(2), one Eu(1), one Eu(3), and two equivalent Zr(1) atoms. In the second O site, O(2) is bonded in a distorted linear geometry to one Ba(2), one Ba(3), one Eu(1), one Eu(2), and two equivalent Zr(1) atoms. In the third O site, O(3) is bonded in a distorted linear geometry to one Ba(1), one Eu(2), two equivalent Eu(1), and two equivalent Zr(1) atoms. In the fourth O site, O(4) is bonded in a distorted linear geometry to one Ba(3), two equivalent Ba(2), one Eu(3), and two equivalent Zr(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_BaEuZr2O6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.455
_cell_length_b   8.455
_cell_length_c   8.446
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   603.816
_cell_formula_units_Z   4
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
  Ba  Ba0  1  0.000  0.000  0.000  1.0
  Ba  Ba1  1  0.500  0.000  0.500  1.0
  Ba  Ba2  1  0.500  0.500  0.500  1.0
  Ba  Ba3  1  0.000  0.500  0.500  1.0
  Eu  Eu4  1  0.500  0.000  0.000  1.0
  Eu  Eu5  1  0.500  0.500  0.000  1.0
  Eu  Eu6  1  0.000  0.500  0.000  1.0
  Eu  Eu7  1  0.000  0.000  0.500  1.0
  Zr  Zr8  1  0.250  0.750  0.248  1.0
  Zr  Zr9  1  0.250  0.250  0.248  1.0
  Zr  Zr10  1  0.750  0.750  0.248  1.0
  Zr  Zr11  1  0.750  0.250  0.248  1.0
  Zr  Zr12  1  0.250  0.750  0.752  1.0
  Zr  Zr13  1  0.250  0.250  0.752  1.0
  Zr  Zr14  1  0.750  0.750  0.752  1.0
  Zr  Zr15  1  0.750  0.250  0.752  1.0
  O  O16  1  0.250  0.000  0.248  1.0
  O  O17  1  0.251  0.500  0.246  1.0
  O  O18  1  0.750  0.000  0.248  1.0
  O  O19  1  0.749  0.500  0.246  1.0
  O  O20  1  0.250  0.000  0.752  1.0
  O  O21  1  0.251  0.500  0.754  1.0
  O  O22  1  0.750  0.000  0.752  1.0
  O  O23  1  0.749  0.500  0.754  1.0
  O  O24  1  0.252  0.748  0.000  1.0
  O  O25  1  0.252  0.252  0.000  1.0
  O  O26  1  0.748  0.748  0.000  1.0
  O  O27  1  0.748  0.252  0.000  1.0
  O  O28  1  0.248  0.752  0.500  1.0
  O  O29  1  0.248  0.248  0.500  1.0
  O  O30  1  0.752  0.752  0.500  1.0
  O  O31  1  0.752  0.248  0.500  1.0
  O  O32  1  0.000  0.750  0.248  1.0
  O  O33  1  0.000  0.250  0.248  1.0
  O  O34  1  0.500  0.749  0.246  1.0
  O  O35  1  0.500  0.251  0.246  1.0
  O  O36  1  0.000  0.750  0.752  1.0
  O  O37  1  0.000  0.250  0.752  1.0
  O  O38  1  0.500  0.749  0.754  1.0
  O  O39  1  0.500  0.251  0.754  1.0
[/CIF]
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The material described by BaEuZr2O6 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. There are three inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to four equivalent O(3) and eight equivalent O(1) atoms to form BaO12 cuboctahedra that share corners with four equivalent Eu(2)O12 cuboctahedra, corners with eight equivalent Ba(2)O12 cuboctahedra, faces with two equivalent Eu(3)O12 cuboctahedra, faces with four equivalent Eu(1)O12 cuboctahedra, and faces with eight equivalent Zr(1)O6 octahedra. In the second Ba site, Ba(2) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(4) atoms to form BaO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, corners with four equivalent Ba(2)O12 cuboctahedra, corners with four equivalent Eu(2)O12 cuboctahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with two equivalent Eu(1)O12 cuboctahedra, faces with two equivalent Eu(3)O12 cuboctahedra, and faces with eight equivalent Zr(1)O6 octahedra. In the third Ba site, Ba(3) is bonded to four equivalent O(4) and eight equivalent O(2) atoms to form BaO12 cuboctahedra that share corners with four equivalent Eu(3)O12 cuboctahedra, corners with eight equivalent Eu(1)O12 cuboctahedra, faces with two equivalent Eu(2)O12 cuboctahedra, faces with four equivalent Ba(2)O12 cuboctahedra, and faces with eight equivalent Zr(1)O6 octahedra. There are three inequivalent Eu sites. In the first Eu site, Eu(1) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(3) atoms to form EuO12 cuboctahedra that share corners with four equivalent Ba(3)O12 cuboctahedra, corners with four equivalent Eu(1)O12 cuboctahedra, corners with four equivalent Eu(3)O12 cuboctahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with two equivalent Ba(2)O12 cuboctahedra, faces with two equivalent Eu(2)O12 cuboctahedra, and faces with eight equivalent Zr(1)O6 octahedra. In the second Eu site, Eu(2) is bonded to four equivalent O(3) and eight equivalent O(2) atoms to form EuO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, corners with eight equivalent Ba(2)O12 cuboctahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with four equivalent Eu(1)O12 cuboctahedra, and faces with eight equivalent Zr(1)O6 octahedra. In the third Eu site, Eu(3) is bonded to four equivalent O(4) and eight equivalent O(1) atoms to form EuO12 cuboctahedra that share corners with four equivalent Ba(3)O12 cuboctahedra, corners with eight equivalent Eu(1)O12 cuboctahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Ba(2)O12 cuboctahedra, and faces with eight equivalent Zr(1)O6 octahedra. Zr(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form ZrO6 octahedra that share corners with six equivalent Zr(1)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one Ba(3)O12 cuboctahedra,  a faceface with one Eu(2)O12 cuboctahedra,  a faceface with one Eu(3)O12 cuboctahedra, faces with two equivalent Ba(2)O12 cuboctahedra, and faces with two equivalent Eu(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-2°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to one Ba(1), one Ba(2), one Eu(1), one Eu(3), and two equivalent Zr(1) atoms. In the second O site, O(2) is bonded in a distorted linear geometry to one Ba(2), one Ba(3), one Eu(1), one Eu(2), and two equivalent Zr(1) atoms. In the third O site, O(3) is bonded in a distorted linear geometry to one Ba(1), one Eu(2), two equivalent Eu(1), and two equivalent Zr(1) atoms. In the fourth O site, O(4) is bonded in a distorted linear geometry to one Ba(3), two equivalent Ba(2), one Eu(3), and two equivalent Zr(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_BaEuZr2O6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.455
_cell_length_b   8.455
_cell_length_c   8.446
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   603.816
_cell_formula_units_Z   4
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
  Ba  Ba0  1  0.000  0.000  0.000  1.0
  Ba  Ba1  1  0.500  0.000  0.500  1.0
  Ba  Ba2  1  0.500  0.500  0.500  1.0
  Ba  Ba3  1  0.000  0.500  0.500  1.0
  Eu  Eu4  1  0.500  0.000  0.000  1.0
  Eu  Eu5  1  0.500  0.500  0.000  1.0
  Eu  Eu6  1  0.000  0.500  0.000  1.0
  Eu  Eu7  1  0.000  0.000  0.500  1.0
  Zr  Zr8  1  0.250  0.750  0.248  1.0
  Zr  Zr9  1  0.250  0.250  0.248  1.0
  Zr  Zr10  1  0.750  0.750  0.248  1.0
  Zr  Zr11  1  0.750  0.250  0.248  1.0
  Zr  Zr12  1  0.250  0.750  0.752  1.0
  Zr  Zr13  1  0.250  0.250  0.752  1.0
  Zr  Zr14  1  0.750  0.750  0.752  1.0
  Zr  Zr15  1  0.750  0.250  0.752  1.0
  O  O16  1  0.250  0.000  0.248  1.0
  O  O17  1  0.251  0.500  0.246  1.0
  O  O18  1  0.750  0.000  0.248  1.0
  O  O19  1  0.749  0.500  0.246  1.0
  O  O20  1  0.250  0.000  0.752  1.0
  O  O21  1  0.251  0.500  0.754  1.0
  O  O22  1  0.750  0.000  0.752  1.0
  O  O23  1  0.749  0.500  0.754  1.0
  O  O24  1  0.252  0.748  0.000  1.0
  O  O25  1  0.252  0.252  0.000  1.0
  O  O26  1  0.748  0.748  0.000  1.0
  O  O27  1  0.748  0.252  0.000  1.0
  O  O28  1  0.248  0.752  0.500  1.0
  O  O29  1  0.248  0.248  0.500  1.0
  O  O30  1  0.752  0.752  0.500  1.0
  O  O31  1  0.752  0.248  0.500  1.0
  O  O32  1  0.000  0.750  0.248  1.0
  O  O33  1  0.000  0.250  0.248  1.0
  O  O34  1  0.500  0.749  0.246  1.0
  O  O35  1  0.500  0.251  0.246  1.0
  O  O36  1  0.000  0.750  0.752  1.0
  O  O37  1  0.000  0.250  0.752  1.0
  O  O38  1  0.500  0.749  0.754  1.0
  O  O39  1  0.500  0.251  0.754  1.0
[/CIF]
.