The material described by Ba6Rh4Al2O15 crystallizes in the orthorhombic Amm2 space group. There are four 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(4), and four equivalent O(3) atoms. In the second Ba site, Ba(2) is bonded in a 10-coordinate geometry to two equivalent O(1), two equivalent O(3), two equivalent O(5), and four equivalent O(2) atoms. In the third Ba site, Ba(3) is bonded in a 10-coordinate geometry to two equivalent O(1), four equivalent O(2), and four equivalent O(5) atoms. In the fourth Ba site, Ba(4) is bonded in a 8-coordinate geometry to two equivalent O(4), two equivalent O(6), and four equivalent O(3) atoms. There are two inequivalent Rh sites. In the first Rh site, Rh(1) is bonded to one O(1), two equivalent O(2), and two equivalent O(5) atoms to form distorted RhO5 square pyramids that share corners with three equivalent Rh(2)O6 octahedra and  an edgeedge with one Rh(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 9-12°. In the second Rh site, Rh(2) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(3) atoms to form RhO6 octahedra that share corners with three equivalent Rh(1)O5 square pyramids and corners with three equivalent Al(1)O4 tetrahedra. Al(1) is bonded to one O(4), one O(6), and two equivalent O(3) atoms to form AlO4 tetrahedra that share corners with three equivalent Rh(2)O6 octahedra and  a cornercorner with one Al(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 14-34°. There are six inequivalent O sites. In the first O site, O(4) is bonded in a 1-coordinate geometry to one Ba(4), two equivalent Ba(1), one Rh(2), and one Al(1) atom. In the second O site, O(5) is bonded to two equivalent Ba(2), two equivalent Ba(3), and two equivalent Rh(1) atoms to form a mixture of distorted corner and face-sharing OBa4Rh2 octahedra. The corner-sharing octahedral tilt angles range from 6-65°. In the third O site, O(6) is bonded in a distorted bent 150 degrees geometry to two equivalent Ba(4) and two equivalent Al(1) atoms. In the fourth O site, O(1) is bonded to one Ba(1), one Ba(3), two equivalent Ba(2), one Rh(1), and one Rh(2) atom to form a mixture of distorted corner and face-sharing OBa4Rh2 octahedra. The corner-sharing octahedral tilt angles range from 11-65°. In the fifth O site, O(2) is bonded in a 6-coordinate geometry to one Ba(1), one Ba(3), two equivalent Ba(2), one Rh(1), and one Rh(2) atom. In the sixth O site, O(3) is bonded in a 2-coordinate geometry to one Ba(2), one Ba(4), two equivalent Ba(1), one Rh(2), and one Al(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ba6Al2Rh4O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.853
_cell_length_b   5.853
_cell_length_c   14.633
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   121.652
_symmetry_Int_Tables_number   1
_cell_volume   426.723
_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  0.675  0.325  0.316  1.0
  Ba  Ba1  1  0.675  0.325  0.684  1.0
  Ba  Ba2  1  0.327  0.673  0.842  1.0
  Ba  Ba3  1  0.327  0.673  0.158  1.0
  Ba  Ba4  1  0.992  0.008  0.000  1.0
  Ba  Ba5  1  0.000  1.000  0.500  1.0
  Al  Al6  1  0.349  0.651  0.385  1.0
  Al  Al7  1  0.349  0.651  0.615  1.0
  Rh  Rh8  1  0.648  0.352  0.914  1.0
  Rh  Rh9  1  0.648  0.352  0.086  1.0
  Rh  Rh10  1  0.003  0.997  0.748  1.0
  Rh  Rh11  1  0.003  0.997  0.252  1.0
  O  O12  1  0.852  0.148  0.833  1.0
  O  O13  1  0.845  0.658  0.825  1.0
  O  O14  1  0.342  0.155  0.825  1.0
  O  O15  1  0.852  0.148  0.167  1.0
  O  O16  1  0.845  0.658  0.175  1.0
  O  O17  1  0.342  0.155  0.175  1.0
  O  O18  1  0.166  0.328  0.664  1.0
  O  O19  1  0.672  0.834  0.664  1.0
  O  O20  1  0.179  0.821  0.634  1.0
  O  O21  1  0.166  0.328  0.336  1.0
  O  O22  1  0.672  0.834  0.336  1.0
  O  O23  1  0.179  0.821  0.366  1.0
  O  O24  1  0.499  0.036  0.000  1.0
  O  O25  1  0.964  0.501  0.000  1.0
  O  O26  1  0.402  0.598  0.500  1.0
[/CIF]
.
The material described by Ba6Rh4Al2O15 crystallizes in the orthorhombic Amm2 space group. There are four 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(4), and four equivalent O(3) atoms. In the second Ba site, Ba(2) is bonded in a 10-coordinate geometry to two equivalent O(1), two equivalent O(3), two equivalent O(5), and four equivalent O(2) atoms. In the third Ba site, Ba(3) is bonded in a 10-coordinate geometry to two equivalent O(1), four equivalent O(2), and four equivalent O(5) atoms. In the fourth Ba site, Ba(4) is bonded in a 8-coordinate geometry to two equivalent O(4), two equivalent O(6), and four equivalent O(3) atoms. There are two inequivalent Rh sites. In the first Rh site, Rh(1) is bonded to one O(1), two equivalent O(2), and two equivalent O(5) atoms to form distorted RhO5 square pyramids that share corners with three equivalent Rh(2)O6 octahedra and  an edgeedge with one Rh(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 9-12°. In the second Rh site, Rh(2) is bonded to one O(1), one O(4), two equivalent O(2), and two equivalent O(3) atoms to form RhO6 octahedra that share corners with three equivalent Rh(1)O5 square pyramids and corners with three equivalent Al(1)O4 tetrahedra. Al(1) is bonded to one O(4), one O(6), and two equivalent O(3) atoms to form AlO4 tetrahedra that share corners with three equivalent Rh(2)O6 octahedra and  a cornercorner with one Al(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 14-34°. There are six inequivalent O sites. In the first O site, O(4) is bonded in a 1-coordinate geometry to one Ba(4), two equivalent Ba(1), one Rh(2), and one Al(1) atom. In the second O site, O(5) is bonded to two equivalent Ba(2), two equivalent Ba(3), and two equivalent Rh(1) atoms to form a mixture of distorted corner and face-sharing OBa4Rh2 octahedra. The corner-sharing octahedral tilt angles range from 6-65°. In the third O site, O(6) is bonded in a distorted bent 150 degrees geometry to two equivalent Ba(4) and two equivalent Al(1) atoms. In the fourth O site, O(1) is bonded to one Ba(1), one Ba(3), two equivalent Ba(2), one Rh(1), and one Rh(2) atom to form a mixture of distorted corner and face-sharing OBa4Rh2 octahedra. The corner-sharing octahedral tilt angles range from 11-65°. In the fifth O site, O(2) is bonded in a 6-coordinate geometry to one Ba(1), one Ba(3), two equivalent Ba(2), one Rh(1), and one Rh(2) atom. In the sixth O site, O(3) is bonded in a 2-coordinate geometry to one Ba(2), one Ba(4), two equivalent Ba(1), one Rh(2), and one Al(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ba6Al2Rh4O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.853
_cell_length_b   5.853
_cell_length_c   14.633
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   121.652
_symmetry_Int_Tables_number   1
_cell_volume   426.723
_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  0.675  0.325  0.316  1.0
  Ba  Ba1  1  0.675  0.325  0.684  1.0
  Ba  Ba2  1  0.327  0.673  0.842  1.0
  Ba  Ba3  1  0.327  0.673  0.158  1.0
  Ba  Ba4  1  0.992  0.008  0.000  1.0
  Ba  Ba5  1  0.000  1.000  0.500  1.0
  Al  Al6  1  0.349  0.651  0.385  1.0
  Al  Al7  1  0.349  0.651  0.615  1.0
  Rh  Rh8  1  0.648  0.352  0.914  1.0
  Rh  Rh9  1  0.648  0.352  0.086  1.0
  Rh  Rh10  1  0.003  0.997  0.748  1.0
  Rh  Rh11  1  0.003  0.997  0.252  1.0
  O  O12  1  0.852  0.148  0.833  1.0
  O  O13  1  0.845  0.658  0.825  1.0
  O  O14  1  0.342  0.155  0.825  1.0
  O  O15  1  0.852  0.148  0.167  1.0
  O  O16  1  0.845  0.658  0.175  1.0
  O  O17  1  0.342  0.155  0.175  1.0
  O  O18  1  0.166  0.328  0.664  1.0
  O  O19  1  0.672  0.834  0.664  1.0
  O  O20  1  0.179  0.821  0.634  1.0
  O  O21  1  0.166  0.328  0.336  1.0
  O  O22  1  0.672  0.834  0.336  1.0
  O  O23  1  0.179  0.821  0.366  1.0
  O  O24  1  0.499  0.036  0.000  1.0
  O  O25  1  0.964  0.501  0.000  1.0
  O  O26  1  0.402  0.598  0.500  1.0
[/CIF]
.