The structure described by Ba4NaRu3O12 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3mc space group. Na(1) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form NaO6 octahedra that share corners with three equivalent Ru(2)O6 octahedra, corners with three equivalent Ru(3)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, and faces with three equivalent Ba(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 2-5°. There are four inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to three equivalent O(1), three equivalent O(3), and six equivalent O(4) atoms to form BaO12 cuboctahedra that share corners with six equivalent Ba(1)O12 cuboctahedra, corners with six equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, faces with three equivalent Ba(4)O12 cuboctahedra,  a faceface with one Ru(1)O6 octahedra,  a faceface with one Ru(2)O6 octahedra, faces with three equivalent Na(1)O6 octahedra, and faces with three equivalent Ru(3)O6 octahedra. In the second Ba site, Ba(2) is bonded to three equivalent O(1), three equivalent O(3), and six equivalent O(2) atoms to form BaO12 cuboctahedra that share corners with six equivalent Ba(1)O12 cuboctahedra, corners with six equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, faces with three equivalent Ba(4)O12 cuboctahedra,  a faceface with one Na(1)O6 octahedra,  a faceface with one Ru(3)O6 octahedra, faces with three equivalent Ru(1)O6 octahedra, and faces with three equivalent Ru(2)O6 octahedra. In the third Ba site, Ba(3) is bonded to three equivalent O(2), three equivalent O(4), and six equivalent O(3) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(4)O12 cuboctahedra, corners with six equivalent Ba(3)O12 cuboctahedra, corners with three equivalent Ru(1)O6 octahedra,  a faceface with one Ba(4)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra,  a faceface with one Ru(3)O6 octahedra, faces with three equivalent Na(1)O6 octahedra, and faces with three equivalent Ru(2)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the fourth Ba site, Ba(4) is bonded to three equivalent O(2), three equivalent O(4), and six equivalent O(1) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(3)O12 cuboctahedra, corners with six equivalent Ba(4)O12 cuboctahedra, corners with three equivalent Ru(2)O6 octahedra,  a faceface with one Ba(3)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra,  a faceface with one Na(1)O6 octahedra, faces with three equivalent Ru(1)O6 octahedra, and faces with three equivalent Ru(3)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are three inequivalent Ru sites. In the first Ru site, Ru(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form RuO6 octahedra that share corners with three equivalent Ba(3)O12 cuboctahedra, corners with three equivalent Ru(3)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Ba(4)O12 cuboctahedra, and  a faceface with one Ru(2)O6 octahedra. The corner-sharing octahedral tilt angles are 3°. In the second Ru site, Ru(2) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form RuO6 octahedra that share corners with three equivalent Ba(4)O12 cuboctahedra, corners with three equivalent Na(1)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, and  a faceface with one Ru(1)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the third Ru site, Ru(3) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form RuO6 octahedra that share corners with three equivalent Na(1)O6 octahedra, corners with three equivalent Ru(1)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one Ba(3)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, and faces with three equivalent Ba(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 2-3°. There are four inequivalent O sites. In the first O site, O(4) is bonded in a distorted linear geometry to one Na(1), one Ba(3), one Ba(4), two equivalent Ba(1), and one Ru(3) atom. In the second O site, O(1) is bonded in a distorted linear geometry to one Ba(1), one Ba(2), two equivalent Ba(4), one Ru(1), and one Ru(3) atom. In the third O site, O(2) is bonded in a 2-coordinate geometry to one Ba(3), one Ba(4), two equivalent Ba(2), one Ru(1), and one Ru(2) atom. In the fourth O site, O(3) is bonded to one Na(1), one Ba(1), one Ba(2), two equivalent Ba(3), and one Ru(2) atom to form a mixture of distorted face and corner-sharing OBa4NaRu octahedra. The corner-sharing octahedral tilt angles range from 8-60°. is represented by the CIF file [CIF]
data_Ba4Na(RuO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.877
_cell_length_b   5.877
_cell_length_c   19.450
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   581.791
_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  0.000  0.000  0.117  1.0
  Ba  Ba1  1  0.000  0.000  0.617  1.0
  Ba  Ba2  1  0.333  0.667  0.373  1.0
  Ba  Ba3  1  0.667  0.333  0.873  1.0
  Ba  Ba4  1  0.667  0.333  0.497  1.0
  Ba  Ba5  1  0.333  0.667  0.997  1.0
  Ba  Ba6  1  0.333  0.667  0.746  1.0
  Ba  Ba7  1  0.667  0.333  0.246  1.0
  Na  Na8  1  0.333  0.667  0.560  1.0
  Na  Na9  1  0.667  0.333  0.060  1.0
  Ru  Ru10  1  0.000  0.000  0.299  1.0
  Ru  Ru11  1  0.000  0.000  0.799  1.0
  Ru  Ru12  1  0.000  0.000  0.436  1.0
  Ru  Ru13  1  0.000  0.000  0.936  1.0
  Ru  Ru14  1  0.333  0.667  0.183  1.0
  Ru  Ru15  1  0.667  0.333  0.683  1.0
  O  O16  1  0.165  0.331  0.245  1.0
  O  O17  1  0.835  0.165  0.745  1.0
  O  O18  1  0.331  0.165  0.745  1.0
  O  O19  1  0.669  0.835  0.245  1.0
  O  O20  1  0.165  0.835  0.245  1.0
  O  O21  1  0.835  0.669  0.745  1.0
  O  O22  1  0.304  0.152  0.364  1.0
  O  O23  1  0.152  0.304  0.864  1.0
  O  O24  1  0.152  0.848  0.864  1.0
  O  O25  1  0.848  0.152  0.364  1.0
  O  O26  1  0.848  0.696  0.364  1.0
  O  O27  1  0.696  0.848  0.864  1.0
  O  O28  1  0.156  0.313  0.488  1.0
  O  O29  1  0.844  0.156  0.988  1.0
  O  O30  1  0.313  0.156  0.988  1.0
  O  O31  1  0.687  0.844  0.488  1.0
  O  O32  1  0.156  0.844  0.488  1.0
  O  O33  1  0.844  0.687  0.988  1.0
  O  O34  1  0.513  0.487  0.628  1.0
  O  O35  1  0.027  0.513  0.128  1.0
  O  O36  1  0.487  0.973  0.128  1.0
  O  O37  1  0.513  0.027  0.628  1.0
  O  O38  1  0.973  0.487  0.628  1.0
  O  O39  1  0.487  0.513  0.128  1.0
[/CIF]
.
The structure described by Ba4NaRu3O12 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3mc space group. Na(1) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form NaO6 octahedra that share corners with three equivalent Ru(2)O6 octahedra, corners with three equivalent Ru(3)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, and faces with three equivalent Ba(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 2-5°. There are four inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to three equivalent O(1), three equivalent O(3), and six equivalent O(4) atoms to form BaO12 cuboctahedra that share corners with six equivalent Ba(1)O12 cuboctahedra, corners with six equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, faces with three equivalent Ba(4)O12 cuboctahedra,  a faceface with one Ru(1)O6 octahedra,  a faceface with one Ru(2)O6 octahedra, faces with three equivalent Na(1)O6 octahedra, and faces with three equivalent Ru(3)O6 octahedra. In the second Ba site, Ba(2) is bonded to three equivalent O(1), three equivalent O(3), and six equivalent O(2) atoms to form BaO12 cuboctahedra that share corners with six equivalent Ba(1)O12 cuboctahedra, corners with six equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, faces with three equivalent Ba(4)O12 cuboctahedra,  a faceface with one Na(1)O6 octahedra,  a faceface with one Ru(3)O6 octahedra, faces with three equivalent Ru(1)O6 octahedra, and faces with three equivalent Ru(2)O6 octahedra. In the third Ba site, Ba(3) is bonded to three equivalent O(2), three equivalent O(4), and six equivalent O(3) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(4)O12 cuboctahedra, corners with six equivalent Ba(3)O12 cuboctahedra, corners with three equivalent Ru(1)O6 octahedra,  a faceface with one Ba(4)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra,  a faceface with one Ru(3)O6 octahedra, faces with three equivalent Na(1)O6 octahedra, and faces with three equivalent Ru(2)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the fourth Ba site, Ba(4) is bonded to three equivalent O(2), three equivalent O(4), and six equivalent O(1) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(3)O12 cuboctahedra, corners with six equivalent Ba(4)O12 cuboctahedra, corners with three equivalent Ru(2)O6 octahedra,  a faceface with one Ba(3)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra,  a faceface with one Na(1)O6 octahedra, faces with three equivalent Ru(1)O6 octahedra, and faces with three equivalent Ru(3)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are three inequivalent Ru sites. In the first Ru site, Ru(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form RuO6 octahedra that share corners with three equivalent Ba(3)O12 cuboctahedra, corners with three equivalent Ru(3)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Ba(4)O12 cuboctahedra, and  a faceface with one Ru(2)O6 octahedra. The corner-sharing octahedral tilt angles are 3°. In the second Ru site, Ru(2) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form RuO6 octahedra that share corners with three equivalent Ba(4)O12 cuboctahedra, corners with three equivalent Na(1)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, and  a faceface with one Ru(1)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the third Ru site, Ru(3) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form RuO6 octahedra that share corners with three equivalent Na(1)O6 octahedra, corners with three equivalent Ru(1)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one Ba(3)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, and faces with three equivalent Ba(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 2-3°. There are four inequivalent O sites. In the first O site, O(4) is bonded in a distorted linear geometry to one Na(1), one Ba(3), one Ba(4), two equivalent Ba(1), and one Ru(3) atom. In the second O site, O(1) is bonded in a distorted linear geometry to one Ba(1), one Ba(2), two equivalent Ba(4), one Ru(1), and one Ru(3) atom. In the third O site, O(2) is bonded in a 2-coordinate geometry to one Ba(3), one Ba(4), two equivalent Ba(2), one Ru(1), and one Ru(2) atom. In the fourth O site, O(3) is bonded to one Na(1), one Ba(1), one Ba(2), two equivalent Ba(3), and one Ru(2) atom to form a mixture of distorted face and corner-sharing OBa4NaRu octahedra. The corner-sharing octahedral tilt angles range from 8-60°. is represented by the CIF file [CIF]
data_Ba4Na(RuO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.877
_cell_length_b   5.877
_cell_length_c   19.450
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   581.791
_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  0.000  0.000  0.117  1.0
  Ba  Ba1  1  0.000  0.000  0.617  1.0
  Ba  Ba2  1  0.333  0.667  0.373  1.0
  Ba  Ba3  1  0.667  0.333  0.873  1.0
  Ba  Ba4  1  0.667  0.333  0.497  1.0
  Ba  Ba5  1  0.333  0.667  0.997  1.0
  Ba  Ba6  1  0.333  0.667  0.746  1.0
  Ba  Ba7  1  0.667  0.333  0.246  1.0
  Na  Na8  1  0.333  0.667  0.560  1.0
  Na  Na9  1  0.667  0.333  0.060  1.0
  Ru  Ru10  1  0.000  0.000  0.299  1.0
  Ru  Ru11  1  0.000  0.000  0.799  1.0
  Ru  Ru12  1  0.000  0.000  0.436  1.0
  Ru  Ru13  1  0.000  0.000  0.936  1.0
  Ru  Ru14  1  0.333  0.667  0.183  1.0
  Ru  Ru15  1  0.667  0.333  0.683  1.0
  O  O16  1  0.165  0.331  0.245  1.0
  O  O17  1  0.835  0.165  0.745  1.0
  O  O18  1  0.331  0.165  0.745  1.0
  O  O19  1  0.669  0.835  0.245  1.0
  O  O20  1  0.165  0.835  0.245  1.0
  O  O21  1  0.835  0.669  0.745  1.0
  O  O22  1  0.304  0.152  0.364  1.0
  O  O23  1  0.152  0.304  0.864  1.0
  O  O24  1  0.152  0.848  0.864  1.0
  O  O25  1  0.848  0.152  0.364  1.0
  O  O26  1  0.848  0.696  0.364  1.0
  O  O27  1  0.696  0.848  0.864  1.0
  O  O28  1  0.156  0.313  0.488  1.0
  O  O29  1  0.844  0.156  0.988  1.0
  O  O30  1  0.313  0.156  0.988  1.0
  O  O31  1  0.687  0.844  0.488  1.0
  O  O32  1  0.156  0.844  0.488  1.0
  O  O33  1  0.844  0.687  0.988  1.0
  O  O34  1  0.513  0.487  0.628  1.0
  O  O35  1  0.027  0.513  0.128  1.0
  O  O36  1  0.487  0.973  0.128  1.0
  O  O37  1  0.513  0.027  0.628  1.0
  O  O38  1  0.973  0.487  0.628  1.0
  O  O39  1  0.487  0.513  0.128  1.0
[/CIF]
.