The structure described by Ba4SrHf5O15 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal R-3m space group. There are two inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to three equivalent O(1), three equivalent O(2), and six equivalent O(3) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with nine equivalent Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Sr(1)O12 cuboctahedra,  a faceface with one Hf(2)O6 octahedra, faces with three equivalent Hf(3)O6 octahedra, and faces with four equivalent Hf(1)O6 octahedra. In the second Ba site, Ba(2) is bonded to three equivalent O(3) and nine equivalent O(2) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(1)O12 cuboctahedra, corners with three equivalent Sr(1)O12 cuboctahedra, corners with six equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra,  a faceface with one Hf(1)O6 octahedra, faces with three equivalent Hf(2)O6 octahedra, and faces with four equivalent Hf(3)O6 octahedra. Sr(1) is bonded to six equivalent O(1) and six equivalent O(3) atoms to form SrO12 cuboctahedra that share corners with six equivalent Ba(2)O12 cuboctahedra, corners with six equivalent Sr(1)O12 cuboctahedra, faces with six equivalent Ba(1)O12 cuboctahedra, faces with two equivalent Hf(3)O6 octahedra, and faces with six equivalent Hf(1)O6 octahedra. There are three inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form HfO6 octahedra that share corners with three equivalent Hf(1)O6 octahedra, corners with three equivalent Hf(3)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra, faces with three equivalent Sr(1)O12 cuboctahedra, and faces with four equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second Hf site, Hf(2) is bonded to six equivalent O(2) atoms to form HfO6 octahedra that share corners with six equivalent Hf(3)O6 octahedra, faces with two equivalent Ba(1)O12 cuboctahedra, and faces with six equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the third Hf site, Hf(3) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form HfO6 octahedra that share corners with three equivalent Hf(1)O6 octahedra, corners with three equivalent Hf(2)O6 octahedra,  a faceface with one Sr(1)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, and faces with four equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are three inequivalent O sites. In the first O site, O(3) is bonded in a distorted linear geometry to one Ba(2), two equivalent Ba(1), one Sr(1), one Hf(1), and one Hf(3) atom. In the second O site, O(1) is bonded in a distorted linear geometry to two equivalent Ba(1), two equivalent Sr(1), and two equivalent Hf(1) atoms. In the third O site, O(2) is bonded in a distorted linear geometry to one Ba(1), three equivalent Ba(2), one Hf(2), and one Hf(3) atom. is represented by the CIF file [CIF]
data_Ba4SrHf5O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.587
_cell_length_b   12.587
_cell_length_c   12.587
_cell_angle_alpha   27.275
_cell_angle_beta   27.275
_cell_angle_gamma   27.275
_symmetry_Int_Tables_number   1
_cell_volume   369.494
_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
  Ba  Ba0  1  0.900  0.900  0.900  1.0
  Ba  Ba1  1  0.300  0.300  0.300  1.0
  Ba  Ba2  1  0.700  0.700  0.700  1.0
  Ba  Ba3  1  0.100  0.100  0.100  1.0
  Sr  Sr4  1  0.500  0.500  0.500  1.0
  Hf  Hf5  1  0.800  0.800  0.800  1.0
  Hf  Hf6  1  0.000  0.000  0.000  1.0
  Hf  Hf7  1  0.400  0.400  0.400  1.0
  Hf  Hf8  1  0.200  0.200  0.200  1.0
  Hf  Hf9  1  0.600  0.600  0.600  1.0
  O  O10  1  0.000  0.000  0.500  1.0
  O  O11  1  0.200  0.200  0.700  1.0
  O  O12  1  0.600  0.600  0.102  1.0
  O  O13  1  0.400  0.400  0.898  1.0
  O  O14  1  0.800  0.800  0.300  1.0
  O  O15  1  0.102  0.600  0.600  1.0
  O  O16  1  0.300  0.800  0.800  1.0
  O  O17  1  0.700  0.200  0.200  1.0
  O  O18  1  0.500  0.000  0.000  1.0
  O  O19  1  0.898  0.400  0.400  1.0
  O  O20  1  0.600  0.102  0.600  1.0
  O  O21  1  0.800  0.300  0.800  1.0
  O  O22  1  0.200  0.700  0.200  1.0
  O  O23  1  0.000  0.500  0.000  1.0
  O  O24  1  0.400  0.898  0.400  1.0
[/CIF]
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The structure described by Ba4SrHf5O15 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal R-3m space group. There are two inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to three equivalent O(1), three equivalent O(2), and six equivalent O(3) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with nine equivalent Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Sr(1)O12 cuboctahedra,  a faceface with one Hf(2)O6 octahedra, faces with three equivalent Hf(3)O6 octahedra, and faces with four equivalent Hf(1)O6 octahedra. In the second Ba site, Ba(2) is bonded to three equivalent O(3) and nine equivalent O(2) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(1)O12 cuboctahedra, corners with three equivalent Sr(1)O12 cuboctahedra, corners with six equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra,  a faceface with one Hf(1)O6 octahedra, faces with three equivalent Hf(2)O6 octahedra, and faces with four equivalent Hf(3)O6 octahedra. Sr(1) is bonded to six equivalent O(1) and six equivalent O(3) atoms to form SrO12 cuboctahedra that share corners with six equivalent Ba(2)O12 cuboctahedra, corners with six equivalent Sr(1)O12 cuboctahedra, faces with six equivalent Ba(1)O12 cuboctahedra, faces with two equivalent Hf(3)O6 octahedra, and faces with six equivalent Hf(1)O6 octahedra. There are three inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form HfO6 octahedra that share corners with three equivalent Hf(1)O6 octahedra, corners with three equivalent Hf(3)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra, faces with three equivalent Sr(1)O12 cuboctahedra, and faces with four equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second Hf site, Hf(2) is bonded to six equivalent O(2) atoms to form HfO6 octahedra that share corners with six equivalent Hf(3)O6 octahedra, faces with two equivalent Ba(1)O12 cuboctahedra, and faces with six equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the third Hf site, Hf(3) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form HfO6 octahedra that share corners with three equivalent Hf(1)O6 octahedra, corners with three equivalent Hf(2)O6 octahedra,  a faceface with one Sr(1)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, and faces with four equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are three inequivalent O sites. In the first O site, O(3) is bonded in a distorted linear geometry to one Ba(2), two equivalent Ba(1), one Sr(1), one Hf(1), and one Hf(3) atom. In the second O site, O(1) is bonded in a distorted linear geometry to two equivalent Ba(1), two equivalent Sr(1), and two equivalent Hf(1) atoms. In the third O site, O(2) is bonded in a distorted linear geometry to one Ba(1), three equivalent Ba(2), one Hf(2), and one Hf(3) atom. is represented by the CIF file [CIF]
data_Ba4SrHf5O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.587
_cell_length_b   12.587
_cell_length_c   12.587
_cell_angle_alpha   27.275
_cell_angle_beta   27.275
_cell_angle_gamma   27.275
_symmetry_Int_Tables_number   1
_cell_volume   369.494
_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
  Ba  Ba0  1  0.900  0.900  0.900  1.0
  Ba  Ba1  1  0.300  0.300  0.300  1.0
  Ba  Ba2  1  0.700  0.700  0.700  1.0
  Ba  Ba3  1  0.100  0.100  0.100  1.0
  Sr  Sr4  1  0.500  0.500  0.500  1.0
  Hf  Hf5  1  0.800  0.800  0.800  1.0
  Hf  Hf6  1  0.000  0.000  0.000  1.0
  Hf  Hf7  1  0.400  0.400  0.400  1.0
  Hf  Hf8  1  0.200  0.200  0.200  1.0
  Hf  Hf9  1  0.600  0.600  0.600  1.0
  O  O10  1  0.000  0.000  0.500  1.0
  O  O11  1  0.200  0.200  0.700  1.0
  O  O12  1  0.600  0.600  0.102  1.0
  O  O13  1  0.400  0.400  0.898  1.0
  O  O14  1  0.800  0.800  0.300  1.0
  O  O15  1  0.102  0.600  0.600  1.0
  O  O16  1  0.300  0.800  0.800  1.0
  O  O17  1  0.700  0.200  0.200  1.0
  O  O18  1  0.500  0.000  0.000  1.0
  O  O19  1  0.898  0.400  0.400  1.0
  O  O20  1  0.600  0.102  0.600  1.0
  O  O21  1  0.800  0.300  0.800  1.0
  O  O22  1  0.200  0.700  0.200  1.0
  O  O23  1  0.000  0.500  0.000  1.0
  O  O24  1  0.400  0.898  0.400  1.0
[/CIF]
.