The structure described by BaEuCeHfO6 is Orthorhombic Perovskite-derived structured and crystallizes in the orthorhombic Pnnn space group. There are two inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(3) atoms to form BaO12 cuboctahedra that share faces with four equivalent Ce(1)O6 octahedra and faces with four equivalent Hf(1)O6 octahedra. In the second Ba site, Ba(2) is bonded in a 8-coordinate geometry to four equivalent O(1) and four equivalent O(3) atoms. There are two inequivalent Eu sites. In the first Eu site, Eu(1) is bonded in a distorted square co-planar geometry to four equivalent O(1) and four equivalent O(2) atoms. In the second Eu site, Eu(2) is bonded in a distorted square co-planar geometry to four equivalent O(3) atoms. Ce(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form CeO6 octahedra that share corners with six equivalent Hf(1)O6 octahedra and faces with two equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 22-29°. Hf(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form HfO6 octahedra that share corners with six equivalent Ce(1)O6 octahedra and faces with two equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 22-29°. There are three inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one Ba(1), one Ba(2), one Eu(1), one Ce(1), and one Hf(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Ba(1), one Eu(1), one Ce(1), and one Hf(1) atom. In the third O site, O(3) is bonded in a 5-coordinate geometry to one Ba(1), one Ba(2), one Eu(2), one Ce(1), and one Hf(1) atom. is represented by the CIF file [CIF]
data_BaCeEuHfO6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.598
_cell_length_b   8.613
_cell_length_c   8.584
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   635.680
_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  0.500  0.500  1.0
  Ba  Ba2  1  0.500  0.500  0.000  1.0
  Ba  Ba3  1  0.000  0.000  0.500  1.0
  Ce  Ce4  1  0.750  0.750  0.750  1.0
  Ce  Ce5  1  0.250  0.250  0.750  1.0
  Ce  Ce6  1  0.250  0.750  0.250  1.0
  Ce  Ce7  1  0.750  0.250  0.250  1.0
  Eu  Eu8  1  0.000  0.500  0.500  1.0
  Eu  Eu9  1  0.500  0.000  0.500  1.0
  Eu  Eu10  1  0.500  0.000  0.000  1.0
  Eu  Eu11  1  0.000  0.500  0.000  1.0
  Hf  Hf12  1  0.250  0.250  0.250  1.0
  Hf  Hf13  1  0.750  0.750  0.250  1.0
  Hf  Hf14  1  0.750  0.250  0.750  1.0
  Hf  Hf15  1  0.250  0.750  0.750  1.0
  O  O16  1  0.013  0.213  0.280  1.0
  O  O17  1  0.987  0.787  0.280  1.0
  O  O18  1  0.987  0.213  0.720  1.0
  O  O19  1  0.013  0.787  0.720  1.0
  O  O20  1  0.290  0.014  0.200  1.0
  O  O21  1  0.290  0.986  0.800  1.0
  O  O22  1  0.710  0.986  0.200  1.0
  O  O23  1  0.710  0.014  0.800  1.0
  O  O24  1  0.202  0.293  0.013  1.0
  O  O25  1  0.798  0.293  0.987  1.0
  O  O26  1  0.202  0.707  0.987  1.0
  O  O27  1  0.798  0.707  0.013  1.0
  O  O28  1  0.487  0.287  0.220  1.0
  O  O29  1  0.513  0.713  0.220  1.0
  O  O30  1  0.513  0.287  0.780  1.0
  O  O31  1  0.487  0.713  0.780  1.0
  O  O32  1  0.210  0.486  0.300  1.0
  O  O33  1  0.210  0.514  0.700  1.0
  O  O34  1  0.790  0.514  0.300  1.0
  O  O35  1  0.790  0.486  0.700  1.0
  O  O36  1  0.298  0.207  0.487  1.0
  O  O37  1  0.702  0.207  0.513  1.0
  O  O38  1  0.298  0.793  0.513  1.0
  O  O39  1  0.702  0.793  0.487  1.0
[/CIF]
.
The structure described by BaEuCeHfO6 is Orthorhombic Perovskite-derived structured and crystallizes in the orthorhombic Pnnn space group. There are two inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(3) atoms to form BaO12 cuboctahedra that share faces with four equivalent Ce(1)O6 octahedra and faces with four equivalent Hf(1)O6 octahedra. In the second Ba site, Ba(2) is bonded in a 8-coordinate geometry to four equivalent O(1) and four equivalent O(3) atoms. There are two inequivalent Eu sites. In the first Eu site, Eu(1) is bonded in a distorted square co-planar geometry to four equivalent O(1) and four equivalent O(2) atoms. In the second Eu site, Eu(2) is bonded in a distorted square co-planar geometry to four equivalent O(3) atoms. Ce(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form CeO6 octahedra that share corners with six equivalent Hf(1)O6 octahedra and faces with two equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 22-29°. Hf(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form HfO6 octahedra that share corners with six equivalent Ce(1)O6 octahedra and faces with two equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 22-29°. There are three inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one Ba(1), one Ba(2), one Eu(1), one Ce(1), and one Hf(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Ba(1), one Eu(1), one Ce(1), and one Hf(1) atom. In the third O site, O(3) is bonded in a 5-coordinate geometry to one Ba(1), one Ba(2), one Eu(2), one Ce(1), and one Hf(1) atom. is represented by the CIF file [CIF]
data_BaCeEuHfO6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.598
_cell_length_b   8.613
_cell_length_c   8.584
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   635.680
_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  0.500  0.500  1.0
  Ba  Ba2  1  0.500  0.500  0.000  1.0
  Ba  Ba3  1  0.000  0.000  0.500  1.0
  Ce  Ce4  1  0.750  0.750  0.750  1.0
  Ce  Ce5  1  0.250  0.250  0.750  1.0
  Ce  Ce6  1  0.250  0.750  0.250  1.0
  Ce  Ce7  1  0.750  0.250  0.250  1.0
  Eu  Eu8  1  0.000  0.500  0.500  1.0
  Eu  Eu9  1  0.500  0.000  0.500  1.0
  Eu  Eu10  1  0.500  0.000  0.000  1.0
  Eu  Eu11  1  0.000  0.500  0.000  1.0
  Hf  Hf12  1  0.250  0.250  0.250  1.0
  Hf  Hf13  1  0.750  0.750  0.250  1.0
  Hf  Hf14  1  0.750  0.250  0.750  1.0
  Hf  Hf15  1  0.250  0.750  0.750  1.0
  O  O16  1  0.013  0.213  0.280  1.0
  O  O17  1  0.987  0.787  0.280  1.0
  O  O18  1  0.987  0.213  0.720  1.0
  O  O19  1  0.013  0.787  0.720  1.0
  O  O20  1  0.290  0.014  0.200  1.0
  O  O21  1  0.290  0.986  0.800  1.0
  O  O22  1  0.710  0.986  0.200  1.0
  O  O23  1  0.710  0.014  0.800  1.0
  O  O24  1  0.202  0.293  0.013  1.0
  O  O25  1  0.798  0.293  0.987  1.0
  O  O26  1  0.202  0.707  0.987  1.0
  O  O27  1  0.798  0.707  0.013  1.0
  O  O28  1  0.487  0.287  0.220  1.0
  O  O29  1  0.513  0.713  0.220  1.0
  O  O30  1  0.513  0.287  0.780  1.0
  O  O31  1  0.487  0.713  0.780  1.0
  O  O32  1  0.210  0.486  0.300  1.0
  O  O33  1  0.210  0.514  0.700  1.0
  O  O34  1  0.790  0.514  0.300  1.0
  O  O35  1  0.790  0.486  0.700  1.0
  O  O36  1  0.298  0.207  0.487  1.0
  O  O37  1  0.702  0.207  0.513  1.0
  O  O38  1  0.298  0.793  0.513  1.0
  O  O39  1  0.702  0.793  0.487  1.0
[/CIF]
.