The crystal structure described by Ba6Co11Ga2O26 crystallizes in the trigonal P-3m1 space group. There are three inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to three equivalent O(4), three equivalent O(5), and six equivalent O(2) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(3)O12 cuboctahedra, corners with six equivalent Ba(1)O12 cuboctahedra, corners with six equivalent Co(5)O6 octahedra, edges with three equivalent Ga(1)O4 tetrahedra,  a faceface with one Co(2)O6 octahedra,  a faceface with one Co(3)O6 octahedra, and faces with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 47°. In the second Ba site, Ba(2) is bonded in a 12-coordinate geometry to three equivalent O(1), three equivalent O(2), and six equivalent O(5) atoms. In the third Ba site, Ba(3) is bonded to three equivalent O(5) and nine equivalent O(1) atoms to form distorted BaO12 cuboctahedra that share corners with three equivalent Ba(1)O12 cuboctahedra, corners with six equivalent Ba(3)O12 cuboctahedra, corners with three equivalent Co(3)O6 octahedra, faces with three equivalent Ba(3)O12 cuboctahedra, faces with three equivalent Co(3)O6 octahedra, and faces with three equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to three equivalent O(2) and three equivalent O(4) atoms to form CoO6 octahedra that share corners with three equivalent Co(2)O6 octahedra, corners with three equivalent Ga(1)O4 tetrahedra, edges with three equivalent Co(5)O6 octahedra, and faces with three equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. In the second Co site, Co(2) is bonded to six equivalent O(4) atoms to form CoO6 octahedra that share corners with six equivalent Co(1)O6 octahedra, edges with six equivalent Co(5)O6 octahedra, and faces with two equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. In the third Co site, Co(3) is bonded to three equivalent O(1) and three equivalent O(5) atoms to form CoO6 octahedra that share corners with three equivalent Ba(3)O12 cuboctahedra,  a faceface with one Ba(1)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, and  a faceface with one Co(6)O6 octahedra. In the fourth Co site, Co(4) is bonded in a 6-coordinate geometry to three equivalent O(2) and three equivalent O(5) atoms. In the fifth Co site, Co(5) is bonded to two equivalent O(3) and four equivalent O(4) atoms to form CoO6 octahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, corners with two equivalent Ga(1)O4 tetrahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with four equivalent Co(5)O6 octahedra. In the sixth Co site, Co(6) is bonded to six equivalent O(1) atoms to form CoO6 octahedra that share faces with six equivalent Ba(3)O12 cuboctahedra and faces with two equivalent Co(3)O6 octahedra. Ga(1) is bonded to one O(3) and three equivalent O(2) atoms to form GaO4 tetrahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(5)O6 octahedra, and edges with three equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 57-58°. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Ba(2), three equivalent Ba(3), one Co(3), and one Co(6) atom to form a mixture of distorted edge, corner, and face-sharing OBa4Co2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the second O site, O(2) is bonded in a 2-coordinate geometry to one Ba(2), two equivalent Ba(1), one Co(1), one Co(4), and one Ga(1) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to three equivalent Co(5) and one Ga(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Ba(1), one Co(1), one Co(2), and two equivalent Co(5) atoms. In the fifth O site, O(5) is bonded in a distorted linear geometry to one Ba(1), one Ba(3), two equivalent Ba(2), one Co(3), and one Co(4) atom. is represented by the CIF card [CIF]
data_Ba6Ga2Co11O26
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.812
_cell_length_b   5.812
_cell_length_c   19.260
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   563.410
_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  0.000  0.000  0.194  1.0
  Ba  Ba1  1  0.333  0.667  0.332  1.0
  Ba  Ba2  1  0.333  0.667  0.553  1.0
  Ba  Ba3  1  0.000  0.000  0.806  1.0
  Ba  Ba4  1  0.667  0.333  0.668  1.0
  Ba  Ba5  1  0.667  0.333  0.447  1.0
  Ga  Ga6  1  0.333  0.667  0.153  1.0
  Ga  Ga7  1  0.667  0.333  0.847  1.0
  Co  Co8  1  0.667  0.333  0.127  1.0
  Co  Co9  1  0.000  0.000  0.000  1.0
  Co  Co10  1  0.000  0.000  0.373  1.0
  Co  Co11  1  0.667  0.333  0.275  1.0
  Co  Co12  1  0.000  0.000  0.627  1.0
  Co  Co13  1  0.333  0.667  0.873  1.0
  Co  Co14  1  0.500  0.000  0.000  1.0
  Co  Co15  1  0.333  0.667  0.725  1.0
  Co  Co16  1  0.000  0.500  0.000  1.0
  Co  Co17  1  0.000  0.000  0.500  1.0
  Co  Co18  1  0.500  0.500  0.000  1.0
  O  O19  1  0.707  0.853  0.436  1.0
  O  O20  1  0.014  0.507  0.812  1.0
  O  O21  1  0.986  0.493  0.188  1.0
  O  O22  1  0.667  0.333  0.943  1.0
  O  O23  1  0.827  0.173  0.059  1.0
  O  O24  1  0.173  0.347  0.941  1.0
  O  O25  1  0.147  0.293  0.436  1.0
  O  O26  1  0.653  0.827  0.941  1.0
  O  O27  1  0.853  0.707  0.564  1.0
  O  O28  1  0.293  0.147  0.564  1.0
  O  O29  1  0.147  0.853  0.436  1.0
  O  O30  1  0.162  0.838  0.684  1.0
  O  O31  1  0.853  0.147  0.564  1.0
  O  O32  1  0.173  0.827  0.941  1.0
  O  O33  1  0.493  0.507  0.812  1.0
  O  O34  1  0.675  0.838  0.684  1.0
  O  O35  1  0.507  0.014  0.188  1.0
  O  O36  1  0.838  0.675  0.316  1.0
  O  O37  1  0.162  0.325  0.684  1.0
  O  O38  1  0.507  0.493  0.188  1.0
  O  O39  1  0.827  0.653  0.059  1.0
  O  O40  1  0.838  0.162  0.316  1.0
  O  O41  1  0.493  0.986  0.812  1.0
  O  O42  1  0.347  0.173  0.059  1.0
  O  O43  1  0.325  0.162  0.316  1.0
  O  O44  1  0.333  0.667  0.057  1.0
[/CIF]
.
The crystal structure described by Ba6Co11Ga2O26 crystallizes in the trigonal P-3m1 space group. There are three inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to three equivalent O(4), three equivalent O(5), and six equivalent O(2) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(3)O12 cuboctahedra, corners with six equivalent Ba(1)O12 cuboctahedra, corners with six equivalent Co(5)O6 octahedra, edges with three equivalent Ga(1)O4 tetrahedra,  a faceface with one Co(2)O6 octahedra,  a faceface with one Co(3)O6 octahedra, and faces with three equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 47°. In the second Ba site, Ba(2) is bonded in a 12-coordinate geometry to three equivalent O(1), three equivalent O(2), and six equivalent O(5) atoms. In the third Ba site, Ba(3) is bonded to three equivalent O(5) and nine equivalent O(1) atoms to form distorted BaO12 cuboctahedra that share corners with three equivalent Ba(1)O12 cuboctahedra, corners with six equivalent Ba(3)O12 cuboctahedra, corners with three equivalent Co(3)O6 octahedra, faces with three equivalent Ba(3)O12 cuboctahedra, faces with three equivalent Co(3)O6 octahedra, and faces with three equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to three equivalent O(2) and three equivalent O(4) atoms to form CoO6 octahedra that share corners with three equivalent Co(2)O6 octahedra, corners with three equivalent Ga(1)O4 tetrahedra, edges with three equivalent Co(5)O6 octahedra, and faces with three equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. In the second Co site, Co(2) is bonded to six equivalent O(4) atoms to form CoO6 octahedra that share corners with six equivalent Co(1)O6 octahedra, edges with six equivalent Co(5)O6 octahedra, and faces with two equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. In the third Co site, Co(3) is bonded to three equivalent O(1) and three equivalent O(5) atoms to form CoO6 octahedra that share corners with three equivalent Ba(3)O12 cuboctahedra,  a faceface with one Ba(1)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, and  a faceface with one Co(6)O6 octahedra. In the fourth Co site, Co(4) is bonded in a 6-coordinate geometry to three equivalent O(2) and three equivalent O(5) atoms. In the fifth Co site, Co(5) is bonded to two equivalent O(3) and four equivalent O(4) atoms to form CoO6 octahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, corners with two equivalent Ga(1)O4 tetrahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with four equivalent Co(5)O6 octahedra. In the sixth Co site, Co(6) is bonded to six equivalent O(1) atoms to form CoO6 octahedra that share faces with six equivalent Ba(3)O12 cuboctahedra and faces with two equivalent Co(3)O6 octahedra. Ga(1) is bonded to one O(3) and three equivalent O(2) atoms to form GaO4 tetrahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(5)O6 octahedra, and edges with three equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 57-58°. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Ba(2), three equivalent Ba(3), one Co(3), and one Co(6) atom to form a mixture of distorted edge, corner, and face-sharing OBa4Co2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the second O site, O(2) is bonded in a 2-coordinate geometry to one Ba(2), two equivalent Ba(1), one Co(1), one Co(4), and one Ga(1) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to three equivalent Co(5) and one Ga(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Ba(1), one Co(1), one Co(2), and two equivalent Co(5) atoms. In the fifth O site, O(5) is bonded in a distorted linear geometry to one Ba(1), one Ba(3), two equivalent Ba(2), one Co(3), and one Co(4) atom. is represented by the CIF card [CIF]
data_Ba6Ga2Co11O26
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.812
_cell_length_b   5.812
_cell_length_c   19.260
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   563.410
_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  0.000  0.000  0.194  1.0
  Ba  Ba1  1  0.333  0.667  0.332  1.0
  Ba  Ba2  1  0.333  0.667  0.553  1.0
  Ba  Ba3  1  0.000  0.000  0.806  1.0
  Ba  Ba4  1  0.667  0.333  0.668  1.0
  Ba  Ba5  1  0.667  0.333  0.447  1.0
  Ga  Ga6  1  0.333  0.667  0.153  1.0
  Ga  Ga7  1  0.667  0.333  0.847  1.0
  Co  Co8  1  0.667  0.333  0.127  1.0
  Co  Co9  1  0.000  0.000  0.000  1.0
  Co  Co10  1  0.000  0.000  0.373  1.0
  Co  Co11  1  0.667  0.333  0.275  1.0
  Co  Co12  1  0.000  0.000  0.627  1.0
  Co  Co13  1  0.333  0.667  0.873  1.0
  Co  Co14  1  0.500  0.000  0.000  1.0
  Co  Co15  1  0.333  0.667  0.725  1.0
  Co  Co16  1  0.000  0.500  0.000  1.0
  Co  Co17  1  0.000  0.000  0.500  1.0
  Co  Co18  1  0.500  0.500  0.000  1.0
  O  O19  1  0.707  0.853  0.436  1.0
  O  O20  1  0.014  0.507  0.812  1.0
  O  O21  1  0.986  0.493  0.188  1.0
  O  O22  1  0.667  0.333  0.943  1.0
  O  O23  1  0.827  0.173  0.059  1.0
  O  O24  1  0.173  0.347  0.941  1.0
  O  O25  1  0.147  0.293  0.436  1.0
  O  O26  1  0.653  0.827  0.941  1.0
  O  O27  1  0.853  0.707  0.564  1.0
  O  O28  1  0.293  0.147  0.564  1.0
  O  O29  1  0.147  0.853  0.436  1.0
  O  O30  1  0.162  0.838  0.684  1.0
  O  O31  1  0.853  0.147  0.564  1.0
  O  O32  1  0.173  0.827  0.941  1.0
  O  O33  1  0.493  0.507  0.812  1.0
  O  O34  1  0.675  0.838  0.684  1.0
  O  O35  1  0.507  0.014  0.188  1.0
  O  O36  1  0.838  0.675  0.316  1.0
  O  O37  1  0.162  0.325  0.684  1.0
  O  O38  1  0.507  0.493  0.188  1.0
  O  O39  1  0.827  0.653  0.059  1.0
  O  O40  1  0.838  0.162  0.316  1.0
  O  O41  1  0.493  0.986  0.812  1.0
  O  O42  1  0.347  0.173  0.059  1.0
  O  O43  1  0.325  0.162  0.316  1.0
  O  O44  1  0.333  0.667  0.057  1.0
[/CIF]
.