The crystal structure described by KEuZrBiO6 crystallizes in the orthorhombic Pnnn space group. There are two inequivalent K sites. In the first K site, K(1) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(3) atoms to form KO12 cuboctahedra that share corners with four equivalent Eu(1)O12 cuboctahedra, corners with four equivalent Eu(2)O12 cuboctahedra, faces with two equivalent Eu(1)O12 cuboctahedra, faces with two equivalent Eu(2)O12 cuboctahedra, faces with four equivalent Zr(1)O6 octahedra, and faces with four equivalent Bi(1)O6 octahedra. In the second K site, K(2) is bonded in a 12-coordinate geometry to four equivalent O(1), four equivalent O(2), and four equivalent O(3) atoms. There are two 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 distorted EuO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with four equivalent Eu(2)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent Eu(2)O12 cuboctahedra, faces with four equivalent Zr(1)O6 octahedra, and faces with four equivalent Bi(1)O6 octahedra. In the second Eu site, Eu(2) 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 K(1)O12 cuboctahedra, corners with four equivalent Eu(1)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent Eu(1)O12 cuboctahedra, faces with four equivalent Zr(1)O6 octahedra, and faces with four equivalent Bi(1)O6 octahedra. Zr(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form ZrO6 octahedra that share corners with six equivalent Bi(1)O6 octahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent Eu(1)O12 cuboctahedra, and faces with two equivalent Eu(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 9-19°. Bi(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form BiO6 octahedra that share corners with six equivalent Zr(1)O6 octahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent Eu(1)O12 cuboctahedra, and faces with two equivalent Eu(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 9-19°. There are three inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one K(1), one K(2), one Eu(1), one Eu(2), one Zr(1), and one Bi(1) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to one K(1), one K(2), one Eu(1), one Eu(2), one Zr(1), and one Bi(1) atom. In the third O site, O(3) is bonded in a 2-coordinate geometry to one K(1), one K(2), one Eu(1), one Eu(2), one Zr(1), and one Bi(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_KEuZrBiO6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.414
_cell_length_b   8.504
_cell_length_c   8.463
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   605.537
_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
  K  K0  1  0.500  0.000  0.500  1.0
  K  K1  1  0.500  0.500  0.000  1.0
  K  K2  1  0.000  0.500  0.000  1.0
  K  K3  1  0.000  0.000  0.500  1.0
  Eu  Eu4  1  0.000  0.500  0.500  1.0
  Eu  Eu5  1  0.500  0.000  0.000  1.0
  Eu  Eu6  1  0.000  0.000  0.000  1.0
  Eu  Eu7  1  0.500  0.500  0.500  1.0
  Zr  Zr8  1  0.250  0.250  0.250  1.0
  Zr  Zr9  1  0.750  0.750  0.250  1.0
  Zr  Zr10  1  0.750  0.250  0.750  1.0
  Zr  Zr11  1  0.250  0.750  0.750  1.0
  Bi  Bi12  1  0.750  0.750  0.750  1.0
  Bi  Bi13  1  0.250  0.250  0.750  1.0
  Bi  Bi14  1  0.250  0.750  0.250  1.0
  Bi  Bi15  1  0.750  0.250  0.250  1.0
  O  O16  1  0.003  0.232  0.266  1.0
  O  O17  1  0.997  0.768  0.266  1.0
  O  O18  1  0.997  0.232  0.734  1.0
  O  O19  1  0.003  0.768  0.734  1.0
  O  O20  1  0.269  0.002  0.212  1.0
  O  O21  1  0.269  0.998  0.788  1.0
  O  O22  1  0.731  0.998  0.212  1.0
  O  O23  1  0.731  0.002  0.788  1.0
  O  O24  1  0.230  0.253  0.003  1.0
  O  O25  1  0.770  0.253  0.997  1.0
  O  O26  1  0.230  0.747  0.997  1.0
  O  O27  1  0.770  0.747  0.003  1.0
  O  O28  1  0.497  0.268  0.234  1.0
  O  O29  1  0.503  0.732  0.234  1.0
  O  O30  1  0.503  0.268  0.766  1.0
  O  O31  1  0.497  0.732  0.766  1.0
  O  O32  1  0.231  0.498  0.288  1.0
  O  O33  1  0.231  0.502  0.712  1.0
  O  O34  1  0.769  0.502  0.288  1.0
  O  O35  1  0.769  0.498  0.712  1.0
  O  O36  1  0.270  0.247  0.497  1.0
  O  O37  1  0.730  0.247  0.503  1.0
  O  O38  1  0.270  0.753  0.503  1.0
  O  O39  1  0.730  0.753  0.497  1.0
[/CIF]
.
The crystal structure described by KEuZrBiO6 crystallizes in the orthorhombic Pnnn space group. There are two inequivalent K sites. In the first K site, K(1) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(3) atoms to form KO12 cuboctahedra that share corners with four equivalent Eu(1)O12 cuboctahedra, corners with four equivalent Eu(2)O12 cuboctahedra, faces with two equivalent Eu(1)O12 cuboctahedra, faces with two equivalent Eu(2)O12 cuboctahedra, faces with four equivalent Zr(1)O6 octahedra, and faces with four equivalent Bi(1)O6 octahedra. In the second K site, K(2) is bonded in a 12-coordinate geometry to four equivalent O(1), four equivalent O(2), and four equivalent O(3) atoms. There are two 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 distorted EuO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with four equivalent Eu(2)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent Eu(2)O12 cuboctahedra, faces with four equivalent Zr(1)O6 octahedra, and faces with four equivalent Bi(1)O6 octahedra. In the second Eu site, Eu(2) 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 K(1)O12 cuboctahedra, corners with four equivalent Eu(1)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent Eu(1)O12 cuboctahedra, faces with four equivalent Zr(1)O6 octahedra, and faces with four equivalent Bi(1)O6 octahedra. Zr(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form ZrO6 octahedra that share corners with six equivalent Bi(1)O6 octahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent Eu(1)O12 cuboctahedra, and faces with two equivalent Eu(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 9-19°. Bi(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form BiO6 octahedra that share corners with six equivalent Zr(1)O6 octahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent Eu(1)O12 cuboctahedra, and faces with two equivalent Eu(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 9-19°. There are three inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one K(1), one K(2), one Eu(1), one Eu(2), one Zr(1), and one Bi(1) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to one K(1), one K(2), one Eu(1), one Eu(2), one Zr(1), and one Bi(1) atom. In the third O site, O(3) is bonded in a 2-coordinate geometry to one K(1), one K(2), one Eu(1), one Eu(2), one Zr(1), and one Bi(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_KEuZrBiO6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.414
_cell_length_b   8.504
_cell_length_c   8.463
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   605.537
_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
  K  K0  1  0.500  0.000  0.500  1.0
  K  K1  1  0.500  0.500  0.000  1.0
  K  K2  1  0.000  0.500  0.000  1.0
  K  K3  1  0.000  0.000  0.500  1.0
  Eu  Eu4  1  0.000  0.500  0.500  1.0
  Eu  Eu5  1  0.500  0.000  0.000  1.0
  Eu  Eu6  1  0.000  0.000  0.000  1.0
  Eu  Eu7  1  0.500  0.500  0.500  1.0
  Zr  Zr8  1  0.250  0.250  0.250  1.0
  Zr  Zr9  1  0.750  0.750  0.250  1.0
  Zr  Zr10  1  0.750  0.250  0.750  1.0
  Zr  Zr11  1  0.250  0.750  0.750  1.0
  Bi  Bi12  1  0.750  0.750  0.750  1.0
  Bi  Bi13  1  0.250  0.250  0.750  1.0
  Bi  Bi14  1  0.250  0.750  0.250  1.0
  Bi  Bi15  1  0.750  0.250  0.250  1.0
  O  O16  1  0.003  0.232  0.266  1.0
  O  O17  1  0.997  0.768  0.266  1.0
  O  O18  1  0.997  0.232  0.734  1.0
  O  O19  1  0.003  0.768  0.734  1.0
  O  O20  1  0.269  0.002  0.212  1.0
  O  O21  1  0.269  0.998  0.788  1.0
  O  O22  1  0.731  0.998  0.212  1.0
  O  O23  1  0.731  0.002  0.788  1.0
  O  O24  1  0.230  0.253  0.003  1.0
  O  O25  1  0.770  0.253  0.997  1.0
  O  O26  1  0.230  0.747  0.997  1.0
  O  O27  1  0.770  0.747  0.003  1.0
  O  O28  1  0.497  0.268  0.234  1.0
  O  O29  1  0.503  0.732  0.234  1.0
  O  O30  1  0.503  0.268  0.766  1.0
  O  O31  1  0.497  0.732  0.766  1.0
  O  O32  1  0.231  0.498  0.288  1.0
  O  O33  1  0.231  0.502  0.712  1.0
  O  O34  1  0.769  0.502  0.288  1.0
  O  O35  1  0.769  0.498  0.712  1.0
  O  O36  1  0.270  0.247  0.497  1.0
  O  O37  1  0.730  0.247  0.503  1.0
  O  O38  1  0.270  0.753  0.503  1.0
  O  O39  1  0.730  0.753  0.497  1.0
[/CIF]
.