The material structure described by Ba5Pt2O9 crystallizes in the trigonal P321 space group. There are five inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 9-coordinate geometry to one O(1), two equivalent O(2), two equivalent O(3), two equivalent O(4), and two equivalent O(5) atoms. In the second Ba site, Ba(2) is bonded in a 6-coordinate geometry to six equivalent O(4) atoms. In the third Ba site, Ba(3) is bonded in a 6-coordinate geometry to three equivalent O(2) and three equivalent O(5) atoms. In the fourth Ba site, Ba(4) is bonded in a 8-coordinate geometry to two equivalent O(3), two equivalent O(4), and four equivalent O(5) atoms. In the fifth Ba site, Ba(5) is bonded in a 10-coordinate geometry to two equivalent O(1), two equivalent O(3), two equivalent O(4), and four equivalent O(2) atoms. There are three inequivalent Pt sites. In the first Pt site, Pt(1) is bonded to three equivalent O(3) and three equivalent O(5) atoms to form face-sharing PtO6 octahedra. In the second Pt site, Pt(2) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form face-sharing PtO6 octahedra. In the third Pt site, Pt(3) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form face-sharing PtO6 octahedra. There are five inequivalent O sites. In the first O site, O(4) is bonded to one Ba(2), one Ba(4), one Ba(5), two equivalent Ba(1), and one Pt(3) atom to form distorted OBa5Pt octahedra that share  a cornercorner with one O(1)Ba4Pt2 octahedra, corners with three equivalent O(4)Ba5Pt octahedra, corners with four equivalent O(5)Ba5Pt octahedra, corners with five equivalent O(3)Ba4Pt2 octahedra,  an edgeedge with one O(4)Ba5Pt octahedra, edges with two equivalent O(5)Ba5Pt octahedra,  a faceface with one O(3)Ba4Pt2 octahedra, faces with two equivalent O(1)Ba4Pt2 octahedra, and faces with two equivalent O(4)Ba5Pt octahedra. The corner-sharing octahedral tilt angles range from 10-68°. In the second O site, O(5) is bonded to one Ba(3), two equivalent Ba(1), two equivalent Ba(4), and one Pt(1) atom to form distorted OBa5Pt octahedra that share corners with two equivalent O(1)Ba4Pt2 octahedra, corners with three equivalent O(3)Ba4Pt2 octahedra, corners with three equivalent O(5)Ba5Pt octahedra, corners with four equivalent O(4)Ba5Pt octahedra,  an edgeedge with one O(3)Ba4Pt2 octahedra, edges with two equivalent O(4)Ba5Pt octahedra, faces with two equivalent O(3)Ba4Pt2 octahedra, and faces with three equivalent O(5)Ba5Pt octahedra. The corner-sharing octahedral tilt angles range from 8-68°. In the third O site, O(1) is bonded to two equivalent Ba(1), two equivalent Ba(5), and two equivalent Pt(3) atoms to form distorted OBa4Pt2 octahedra that share corners with two equivalent O(4)Ba5Pt octahedra, corners with four equivalent O(3)Ba4Pt2 octahedra, corners with four equivalent O(5)Ba5Pt octahedra, edges with two equivalent O(3)Ba4Pt2 octahedra, faces with two equivalent O(1)Ba4Pt2 octahedra, and faces with four equivalent O(4)Ba5Pt octahedra. The corner-sharing octahedral tilt angles range from 10-55°. In the fourth O site, O(2) is bonded in a 6-coordinate geometry to one Ba(3), two equivalent Ba(1), two equivalent Ba(5), and one Pt(2) atom. In the fifth O site, O(3) is bonded to one Ba(4), one Ba(5), two equivalent Ba(1), one Pt(1), and one Pt(2) atom to form OBa4Pt2 octahedra that share corners with two equivalent O(1)Ba4Pt2 octahedra, corners with two equivalent O(3)Ba4Pt2 octahedra, corners with three equivalent O(5)Ba5Pt octahedra, corners with five equivalent O(4)Ba5Pt octahedra,  an edgeedge with one O(1)Ba4Pt2 octahedra,  an edgeedge with one O(5)Ba5Pt octahedra,  a faceface with one O(4)Ba5Pt octahedra, faces with two equivalent O(3)Ba4Pt2 octahedra, and faces with two equivalent O(5)Ba5Pt octahedra. The corner-sharing octahedral tilt angles range from 8-60°. is represented by the CIF file [CIF]
data_Ba5Pt2O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.249
_cell_length_b   10.249
_cell_length_c   8.967
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   815.795
_cell_formula_units_Z   3
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  0.031  0.696  0.263  1.0
  Ba  Ba1  1  0.304  0.335  0.263  1.0
  Ba  Ba2  1  0.665  0.969  0.263  1.0
  Ba  Ba3  1  0.335  0.304  0.737  1.0
  Ba  Ba4  1  0.969  0.665  0.737  1.0
  Ba  Ba5  1  0.696  0.031  0.737  1.0
  Ba  Ba6  1  1.000  1.000  1.000  1.0
  Ba  Ba7  1  0.333  0.667  0.752  1.0
  Ba  Ba8  1  0.667  0.333  0.248  1.0
  Ba  Ba9  1  0.634  0.634  0.000  1.0
  Ba  Ba10  1  1.000  0.366  1.000  1.0
  Ba  Ba11  1  0.366  0.000  0.000  1.0
  Ba  Ba12  1  0.670  0.670  0.500  1.0
  Ba  Ba13  1  0.000  0.330  0.500  1.0
  Ba  Ba14  1  0.330  0.000  0.500  1.0
  Pt  Pt15  1  0.333  0.667  0.099  1.0
  Pt  Pt16  1  0.667  0.333  0.901  1.0
  Pt  Pt17  1  0.333  0.667  0.407  1.0
  Pt  Pt18  1  0.667  0.333  0.593  1.0
  Pt  Pt19  1  1.000  1.000  0.346  1.0
  Pt  Pt20  1  1.000  0.000  0.654  1.0
  O  O21  1  0.148  0.148  0.500  1.0
  O  O22  1  1.000  0.852  0.500  1.0
  O  O23  1  0.852  0.000  0.500  1.0
  O  O24  1  0.176  0.682  0.532  1.0
  O  O25  1  0.318  0.494  0.532  1.0
  O  O26  1  0.506  0.824  0.532  1.0
  O  O27  1  0.494  0.318  0.468  1.0
  O  O28  1  0.824  0.506  0.468  1.0
  O  O29  1  0.682  0.176  0.468  1.0
  O  O30  1  0.522  0.173  0.747  1.0
  O  O31  1  0.827  0.350  0.747  1.0
  O  O32  1  0.650  0.478  0.747  1.0
  O  O33  1  0.350  0.827  0.253  1.0
  O  O34  1  0.478  0.650  0.253  1.0
  O  O35  1  0.173  0.522  0.253  1.0
  O  O36  1  0.007  0.174  0.778  1.0
  O  O37  1  0.826  0.833  0.778  1.0
  O  O38  1  0.167  0.993  0.778  1.0
  O  O39  1  0.833  0.826  0.222  1.0
  O  O40  1  0.993  0.167  0.222  1.0
  O  O41  1  0.174  0.007  0.222  1.0
  O  O42  1  0.825  0.510  0.025  1.0
  O  O43  1  0.490  0.315  0.025  1.0
  O  O44  1  0.685  0.175  0.025  1.0
  O  O45  1  0.315  0.490  0.975  1.0
  O  O46  1  0.175  0.685  0.975  1.0
  O  O47  1  0.510  0.825  0.975  1.0
[/CIF]
.
The material structure described by Ba5Pt2O9 crystallizes in the trigonal P321 space group. There are five inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 9-coordinate geometry to one O(1), two equivalent O(2), two equivalent O(3), two equivalent O(4), and two equivalent O(5) atoms. In the second Ba site, Ba(2) is bonded in a 6-coordinate geometry to six equivalent O(4) atoms. In the third Ba site, Ba(3) is bonded in a 6-coordinate geometry to three equivalent O(2) and three equivalent O(5) atoms. In the fourth Ba site, Ba(4) is bonded in a 8-coordinate geometry to two equivalent O(3), two equivalent O(4), and four equivalent O(5) atoms. In the fifth Ba site, Ba(5) is bonded in a 10-coordinate geometry to two equivalent O(1), two equivalent O(3), two equivalent O(4), and four equivalent O(2) atoms. There are three inequivalent Pt sites. In the first Pt site, Pt(1) is bonded to three equivalent O(3) and three equivalent O(5) atoms to form face-sharing PtO6 octahedra. In the second Pt site, Pt(2) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form face-sharing PtO6 octahedra. In the third Pt site, Pt(3) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form face-sharing PtO6 octahedra. There are five inequivalent O sites. In the first O site, O(4) is bonded to one Ba(2), one Ba(4), one Ba(5), two equivalent Ba(1), and one Pt(3) atom to form distorted OBa5Pt octahedra that share  a cornercorner with one O(1)Ba4Pt2 octahedra, corners with three equivalent O(4)Ba5Pt octahedra, corners with four equivalent O(5)Ba5Pt octahedra, corners with five equivalent O(3)Ba4Pt2 octahedra,  an edgeedge with one O(4)Ba5Pt octahedra, edges with two equivalent O(5)Ba5Pt octahedra,  a faceface with one O(3)Ba4Pt2 octahedra, faces with two equivalent O(1)Ba4Pt2 octahedra, and faces with two equivalent O(4)Ba5Pt octahedra. The corner-sharing octahedral tilt angles range from 10-68°. In the second O site, O(5) is bonded to one Ba(3), two equivalent Ba(1), two equivalent Ba(4), and one Pt(1) atom to form distorted OBa5Pt octahedra that share corners with two equivalent O(1)Ba4Pt2 octahedra, corners with three equivalent O(3)Ba4Pt2 octahedra, corners with three equivalent O(5)Ba5Pt octahedra, corners with four equivalent O(4)Ba5Pt octahedra,  an edgeedge with one O(3)Ba4Pt2 octahedra, edges with two equivalent O(4)Ba5Pt octahedra, faces with two equivalent O(3)Ba4Pt2 octahedra, and faces with three equivalent O(5)Ba5Pt octahedra. The corner-sharing octahedral tilt angles range from 8-68°. In the third O site, O(1) is bonded to two equivalent Ba(1), two equivalent Ba(5), and two equivalent Pt(3) atoms to form distorted OBa4Pt2 octahedra that share corners with two equivalent O(4)Ba5Pt octahedra, corners with four equivalent O(3)Ba4Pt2 octahedra, corners with four equivalent O(5)Ba5Pt octahedra, edges with two equivalent O(3)Ba4Pt2 octahedra, faces with two equivalent O(1)Ba4Pt2 octahedra, and faces with four equivalent O(4)Ba5Pt octahedra. The corner-sharing octahedral tilt angles range from 10-55°. In the fourth O site, O(2) is bonded in a 6-coordinate geometry to one Ba(3), two equivalent Ba(1), two equivalent Ba(5), and one Pt(2) atom. In the fifth O site, O(3) is bonded to one Ba(4), one Ba(5), two equivalent Ba(1), one Pt(1), and one Pt(2) atom to form OBa4Pt2 octahedra that share corners with two equivalent O(1)Ba4Pt2 octahedra, corners with two equivalent O(3)Ba4Pt2 octahedra, corners with three equivalent O(5)Ba5Pt octahedra, corners with five equivalent O(4)Ba5Pt octahedra,  an edgeedge with one O(1)Ba4Pt2 octahedra,  an edgeedge with one O(5)Ba5Pt octahedra,  a faceface with one O(4)Ba5Pt octahedra, faces with two equivalent O(3)Ba4Pt2 octahedra, and faces with two equivalent O(5)Ba5Pt octahedra. The corner-sharing octahedral tilt angles range from 8-60°. is represented by the CIF file [CIF]
data_Ba5Pt2O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.249
_cell_length_b   10.249
_cell_length_c   8.967
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   815.795
_cell_formula_units_Z   3
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  0.031  0.696  0.263  1.0
  Ba  Ba1  1  0.304  0.335  0.263  1.0
  Ba  Ba2  1  0.665  0.969  0.263  1.0
  Ba  Ba3  1  0.335  0.304  0.737  1.0
  Ba  Ba4  1  0.969  0.665  0.737  1.0
  Ba  Ba5  1  0.696  0.031  0.737  1.0
  Ba  Ba6  1  1.000  1.000  1.000  1.0
  Ba  Ba7  1  0.333  0.667  0.752  1.0
  Ba  Ba8  1  0.667  0.333  0.248  1.0
  Ba  Ba9  1  0.634  0.634  0.000  1.0
  Ba  Ba10  1  1.000  0.366  1.000  1.0
  Ba  Ba11  1  0.366  0.000  0.000  1.0
  Ba  Ba12  1  0.670  0.670  0.500  1.0
  Ba  Ba13  1  0.000  0.330  0.500  1.0
  Ba  Ba14  1  0.330  0.000  0.500  1.0
  Pt  Pt15  1  0.333  0.667  0.099  1.0
  Pt  Pt16  1  0.667  0.333  0.901  1.0
  Pt  Pt17  1  0.333  0.667  0.407  1.0
  Pt  Pt18  1  0.667  0.333  0.593  1.0
  Pt  Pt19  1  1.000  1.000  0.346  1.0
  Pt  Pt20  1  1.000  0.000  0.654  1.0
  O  O21  1  0.148  0.148  0.500  1.0
  O  O22  1  1.000  0.852  0.500  1.0
  O  O23  1  0.852  0.000  0.500  1.0
  O  O24  1  0.176  0.682  0.532  1.0
  O  O25  1  0.318  0.494  0.532  1.0
  O  O26  1  0.506  0.824  0.532  1.0
  O  O27  1  0.494  0.318  0.468  1.0
  O  O28  1  0.824  0.506  0.468  1.0
  O  O29  1  0.682  0.176  0.468  1.0
  O  O30  1  0.522  0.173  0.747  1.0
  O  O31  1  0.827  0.350  0.747  1.0
  O  O32  1  0.650  0.478  0.747  1.0
  O  O33  1  0.350  0.827  0.253  1.0
  O  O34  1  0.478  0.650  0.253  1.0
  O  O35  1  0.173  0.522  0.253  1.0
  O  O36  1  0.007  0.174  0.778  1.0
  O  O37  1  0.826  0.833  0.778  1.0
  O  O38  1  0.167  0.993  0.778  1.0
  O  O39  1  0.833  0.826  0.222  1.0
  O  O40  1  0.993  0.167  0.222  1.0
  O  O41  1  0.174  0.007  0.222  1.0
  O  O42  1  0.825  0.510  0.025  1.0
  O  O43  1  0.490  0.315  0.025  1.0
  O  O44  1  0.685  0.175  0.025  1.0
  O  O45  1  0.315  0.490  0.975  1.0
  O  O46  1  0.175  0.685  0.975  1.0
  O  O47  1  0.510  0.825  0.975  1.0
[/CIF]
.