The structure described by Ba4Eu4PtZn3O15 crystallizes in the hexagonal P6_3mc space group. There are two inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to three equivalent O(3), three equivalent O(4), and six equivalent O(1) atoms to form distorted BaO12 cuboctahedra that share faces with two equivalent Pt(1)O6 octahedra and faces with three equivalent Zn(1)O4 tetrahedra. In the second Ba site, Ba(2) is bonded in a 10-coordinate geometry to one O(4), two equivalent O(3), three equivalent O(2), and four equivalent O(1) atoms. There are two inequivalent Eu sites. In the first Eu site, Eu(1) is bonded in a 8-coordinate geometry to two equivalent O(3), two equivalent O(4), and four equivalent O(1) atoms. In the second Eu site, Eu(2) is bonded to six equivalent O(2) atoms to form distorted EuO6 octahedra that share corners with six equivalent Zn(1)O4 tetrahedra and faces with two equivalent Eu(2)O6 octahedra. Pt(1) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form PtO6 octahedra that share corners with three equivalent Zn(1)O4 tetrahedra and faces with two equivalent Ba(1)O12 cuboctahedra. Zn(1) is bonded to one O(2), one O(4), and two equivalent O(1) atoms to form ZnO4 tetrahedra that share  a cornercorner with one Pt(1)O6 octahedra, corners with two equivalent Eu(2)O6 octahedra, and  a faceface with one Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 3-68°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one Ba(1), two equivalent Ba(2), two equivalent Eu(1), and one Zn(1) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to three equivalent Ba(2), two equivalent Eu(2), and one Zn(1) atom. In the third O site, O(3) is bonded to one Ba(1), two equivalent Ba(2), two equivalent Eu(1), and one Pt(1) atom to form distorted OBa3Eu2Pt octahedra that share corners with two equivalent O(3)Ba3Eu2Pt octahedra, corners with six equivalent O(4)Ba2Eu2ZnPt octahedra, faces with two equivalent O(4)Ba2Eu2ZnPt octahedra, and faces with two equivalent O(3)Ba3Eu2Pt octahedra. The corner-sharing octahedral tilt angles range from 2-62°. In the fourth O site, O(4) is bonded to one Ba(1), one Ba(2), two equivalent Eu(1), one Pt(1), and one Zn(1) atom to form distorted OBa2Eu2ZnPt octahedra that share corners with six equivalent O(3)Ba3Eu2Pt octahedra, faces with two equivalent O(4)Ba2Eu2ZnPt octahedra, and faces with two equivalent O(3)Ba3Eu2Pt octahedra. The corner-sharing octahedral tilt angles range from 2-62°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ba4Eu4Zn3PtO15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.822
_cell_length_b   11.822
_cell_length_c   6.853
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   829.420
_cell_formula_units_Z   2
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  0.333  0.667  0.332  1.0
  Ba  Ba1  1  0.340  0.170  0.161  1.0
  Ba  Ba2  1  0.830  0.170  0.161  1.0
  Ba  Ba3  1  0.170  0.830  0.661  1.0
  Ba  Ba4  1  0.660  0.830  0.661  1.0
  Ba  Ba5  1  0.667  0.333  0.832  1.0
  Ba  Ba6  1  0.170  0.340  0.661  1.0
  Ba  Ba7  1  0.830  0.660  0.161  1.0
  Eu  Eu8  1  0.480  0.520  0.006  1.0
  Eu  Eu9  1  0.000  0.000  0.841  1.0
  Eu  Eu10  1  0.520  0.480  0.506  1.0
  Eu  Eu11  1  0.480  0.960  0.006  1.0
  Eu  Eu12  1  0.040  0.520  0.006  1.0
  Eu  Eu13  1  0.000  0.000  0.341  1.0
  Eu  Eu14  1  0.960  0.480  0.506  1.0
  Eu  Eu15  1  0.520  0.040  0.506  1.0
  Zn  Zn16  1  0.172  0.344  0.175  1.0
  Zn  Zn17  1  0.172  0.828  0.175  1.0
  Zn  Zn18  1  0.828  0.656  0.675  1.0
  Zn  Zn19  1  0.828  0.172  0.675  1.0
  Zn  Zn20  1  0.656  0.828  0.175  1.0
  Zn  Zn21  1  0.344  0.172  0.675  1.0
  Pt  Pt22  1  0.667  0.333  0.317  1.0
  Pt  Pt23  1  0.333  0.667  0.817  1.0
  O  O24  1  0.942  0.338  0.803  1.0
  O  O25  1  0.168  0.084  0.573  1.0
  O  O26  1  0.415  0.830  0.656  1.0
  O  O27  1  0.252  0.748  0.988  1.0
  O  O28  1  0.605  0.662  0.303  1.0
  O  O29  1  0.338  0.942  0.303  1.0
  O  O30  1  0.338  0.395  0.303  1.0
  O  O31  1  0.585  0.170  0.156  1.0
  O  O32  1  0.916  0.084  0.573  1.0
  O  O33  1  0.748  0.497  0.488  1.0
  O  O34  1  0.084  0.916  0.073  1.0
  O  O35  1  0.503  0.252  0.488  1.0
  O  O36  1  0.415  0.585  0.656  1.0
  O  O37  1  0.395  0.058  0.803  1.0
  O  O38  1  0.585  0.415  0.156  1.0
  O  O39  1  0.605  0.942  0.303  1.0
  O  O40  1  0.058  0.662  0.303  1.0
  O  O41  1  0.662  0.058  0.803  1.0
  O  O42  1  0.395  0.338  0.803  1.0
  O  O43  1  0.497  0.748  0.988  1.0
  O  O44  1  0.084  0.168  0.073  1.0
  O  O45  1  0.170  0.585  0.656  1.0
  O  O46  1  0.916  0.832  0.573  1.0
  O  O47  1  0.832  0.916  0.073  1.0
  O  O48  1  0.830  0.415  0.156  1.0
  O  O49  1  0.252  0.503  0.988  1.0
  O  O50  1  0.942  0.605  0.803  1.0
  O  O51  1  0.748  0.252  0.488  1.0
  O  O52  1  0.058  0.395  0.303  1.0
  O  O53  1  0.662  0.605  0.803  1.0
[/CIF]
.
The structure described by Ba4Eu4PtZn3O15 crystallizes in the hexagonal P6_3mc space group. There are two inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to three equivalent O(3), three equivalent O(4), and six equivalent O(1) atoms to form distorted BaO12 cuboctahedra that share faces with two equivalent Pt(1)O6 octahedra and faces with three equivalent Zn(1)O4 tetrahedra. In the second Ba site, Ba(2) is bonded in a 10-coordinate geometry to one O(4), two equivalent O(3), three equivalent O(2), and four equivalent O(1) atoms. There are two inequivalent Eu sites. In the first Eu site, Eu(1) is bonded in a 8-coordinate geometry to two equivalent O(3), two equivalent O(4), and four equivalent O(1) atoms. In the second Eu site, Eu(2) is bonded to six equivalent O(2) atoms to form distorted EuO6 octahedra that share corners with six equivalent Zn(1)O4 tetrahedra and faces with two equivalent Eu(2)O6 octahedra. Pt(1) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form PtO6 octahedra that share corners with three equivalent Zn(1)O4 tetrahedra and faces with two equivalent Ba(1)O12 cuboctahedra. Zn(1) is bonded to one O(2), one O(4), and two equivalent O(1) atoms to form ZnO4 tetrahedra that share  a cornercorner with one Pt(1)O6 octahedra, corners with two equivalent Eu(2)O6 octahedra, and  a faceface with one Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 3-68°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one Ba(1), two equivalent Ba(2), two equivalent Eu(1), and one Zn(1) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to three equivalent Ba(2), two equivalent Eu(2), and one Zn(1) atom. In the third O site, O(3) is bonded to one Ba(1), two equivalent Ba(2), two equivalent Eu(1), and one Pt(1) atom to form distorted OBa3Eu2Pt octahedra that share corners with two equivalent O(3)Ba3Eu2Pt octahedra, corners with six equivalent O(4)Ba2Eu2ZnPt octahedra, faces with two equivalent O(4)Ba2Eu2ZnPt octahedra, and faces with two equivalent O(3)Ba3Eu2Pt octahedra. The corner-sharing octahedral tilt angles range from 2-62°. In the fourth O site, O(4) is bonded to one Ba(1), one Ba(2), two equivalent Eu(1), one Pt(1), and one Zn(1) atom to form distorted OBa2Eu2ZnPt octahedra that share corners with six equivalent O(3)Ba3Eu2Pt octahedra, faces with two equivalent O(4)Ba2Eu2ZnPt octahedra, and faces with two equivalent O(3)Ba3Eu2Pt octahedra. The corner-sharing octahedral tilt angles range from 2-62°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ba4Eu4Zn3PtO15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.822
_cell_length_b   11.822
_cell_length_c   6.853
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   829.420
_cell_formula_units_Z   2
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  0.333  0.667  0.332  1.0
  Ba  Ba1  1  0.340  0.170  0.161  1.0
  Ba  Ba2  1  0.830  0.170  0.161  1.0
  Ba  Ba3  1  0.170  0.830  0.661  1.0
  Ba  Ba4  1  0.660  0.830  0.661  1.0
  Ba  Ba5  1  0.667  0.333  0.832  1.0
  Ba  Ba6  1  0.170  0.340  0.661  1.0
  Ba  Ba7  1  0.830  0.660  0.161  1.0
  Eu  Eu8  1  0.480  0.520  0.006  1.0
  Eu  Eu9  1  0.000  0.000  0.841  1.0
  Eu  Eu10  1  0.520  0.480  0.506  1.0
  Eu  Eu11  1  0.480  0.960  0.006  1.0
  Eu  Eu12  1  0.040  0.520  0.006  1.0
  Eu  Eu13  1  0.000  0.000  0.341  1.0
  Eu  Eu14  1  0.960  0.480  0.506  1.0
  Eu  Eu15  1  0.520  0.040  0.506  1.0
  Zn  Zn16  1  0.172  0.344  0.175  1.0
  Zn  Zn17  1  0.172  0.828  0.175  1.0
  Zn  Zn18  1  0.828  0.656  0.675  1.0
  Zn  Zn19  1  0.828  0.172  0.675  1.0
  Zn  Zn20  1  0.656  0.828  0.175  1.0
  Zn  Zn21  1  0.344  0.172  0.675  1.0
  Pt  Pt22  1  0.667  0.333  0.317  1.0
  Pt  Pt23  1  0.333  0.667  0.817  1.0
  O  O24  1  0.942  0.338  0.803  1.0
  O  O25  1  0.168  0.084  0.573  1.0
  O  O26  1  0.415  0.830  0.656  1.0
  O  O27  1  0.252  0.748  0.988  1.0
  O  O28  1  0.605  0.662  0.303  1.0
  O  O29  1  0.338  0.942  0.303  1.0
  O  O30  1  0.338  0.395  0.303  1.0
  O  O31  1  0.585  0.170  0.156  1.0
  O  O32  1  0.916  0.084  0.573  1.0
  O  O33  1  0.748  0.497  0.488  1.0
  O  O34  1  0.084  0.916  0.073  1.0
  O  O35  1  0.503  0.252  0.488  1.0
  O  O36  1  0.415  0.585  0.656  1.0
  O  O37  1  0.395  0.058  0.803  1.0
  O  O38  1  0.585  0.415  0.156  1.0
  O  O39  1  0.605  0.942  0.303  1.0
  O  O40  1  0.058  0.662  0.303  1.0
  O  O41  1  0.662  0.058  0.803  1.0
  O  O42  1  0.395  0.338  0.803  1.0
  O  O43  1  0.497  0.748  0.988  1.0
  O  O44  1  0.084  0.168  0.073  1.0
  O  O45  1  0.170  0.585  0.656  1.0
  O  O46  1  0.916  0.832  0.573  1.0
  O  O47  1  0.832  0.916  0.073  1.0
  O  O48  1  0.830  0.415  0.156  1.0
  O  O49  1  0.252  0.503  0.988  1.0
  O  O50  1  0.942  0.605  0.803  1.0
  O  O51  1  0.748  0.252  0.488  1.0
  O  O52  1  0.058  0.395  0.303  1.0
  O  O53  1  0.662  0.605  0.803  1.0
[/CIF]
.