The material structure described by Ba3La3Mn2W3O18 crystallizes in the trigonal R3m space group. There are three inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to three equivalent O(3), three equivalent O(6), and six equivalent O(2) atoms to form BaO12 cuboctahedra that share corners with three equivalent La(3)O12 cuboctahedra, corners with six equivalent Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, faces with three equivalent La(2)O12 cuboctahedra,  a faceface with one W(1)O6 octahedra, faces with three equivalent W(2)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. In the second Ba site, Ba(2) 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 La(2)O12 cuboctahedra, corners with six equivalent Ba(2)O12 cuboctahedra, corners with three equivalent W(3)O6 octahedra,  a faceface with one Ba(3)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra,  a faceface with one Mn(2)O6 octahedra, and faces with three equivalent W(2)O6 octahedra. The corner-sharing octahedral tilt angles are 22°. In the third Ba site, Ba(3) is bonded to three equivalent O(1), three equivalent O(4), and six equivalent O(5) atoms to form BaO12 cuboctahedra that share corners with three equivalent La(2)O12 cuboctahedra, corners with six equivalent Ba(3)O12 cuboctahedra,  a faceface with one Ba(2)O12 cuboctahedra, faces with three equivalent La(3)O12 cuboctahedra,  a faceface with one W(1)O6 octahedra, faces with three equivalent W(3)O6 octahedra, and faces with three equivalent Mn(1)O6 octahedra. There are three inequivalent La sites. In the first La site, La(1) is bonded in a 9-coordinate geometry to three equivalent O(3) and six equivalent O(4) atoms. In the second La site, La(2) is bonded to three equivalent O(1), three equivalent O(2), and six equivalent O(6) atoms to form LaO12 cuboctahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with three equivalent Ba(3)O12 cuboctahedra, corners with six equivalent La(2)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, faces with three equivalent La(3)O12 cuboctahedra,  a faceface with one W(2)O6 octahedra,  a faceface with one Mn(1)O6 octahedra, faces with three equivalent W(1)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. In the third La site, La(3) is bonded to three equivalent O(5), three equivalent O(6), and six equivalent O(1) atoms to form LaO12 cuboctahedra that share corners with three equivalent Ba(1)O12 cuboctahedra, corners with six equivalent La(3)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, faces with three equivalent La(2)O12 cuboctahedra,  a faceface with one W(3)O6 octahedra,  a faceface with one Mn(2)O6 octahedra, faces with three equivalent W(1)O6 octahedra, and faces with three equivalent Mn(1)O6 octahedra. There are three inequivalent W sites. In the first W site, W(1) is bonded to three equivalent O(1) and three equivalent O(6) atoms to form WO6 octahedra that share corners with three equivalent Mn(1)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one Ba(3)O12 cuboctahedra, faces with three equivalent La(2)O12 cuboctahedra, and faces with three equivalent La(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the second W site, W(2) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form WO6 octahedra that share corners with three equivalent Mn(2)O6 octahedra,  a faceface with one La(2)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, and faces with three equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. In the third W site, W(3) is bonded to three equivalent O(4) and three equivalent O(5) atoms to form WO6 octahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with three equivalent Mn(1)O6 octahedra,  a faceface with one La(3)O12 cuboctahedra, and faces with three equivalent Ba(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 13°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to three equivalent O(1) and three equivalent O(5) atoms to form MnO6 octahedra that share corners with three equivalent W(1)O6 octahedra, corners with three equivalent W(3)O6 octahedra,  a faceface with one La(2)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, and faces with three equivalent La(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the second Mn site, Mn(2) is bonded to three equivalent O(2) and three equivalent O(6) atoms to form MnO6 octahedra that share corners with three equivalent W(1)O6 octahedra, corners with three equivalent W(2)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, and faces with three equivalent La(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 4-6°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one Ba(3), one La(2), two equivalent La(3), one W(1), and one Mn(1) atom. In the second O site, O(2) is bonded in a distorted linear geometry to one Ba(2), two equivalent Ba(1), one La(2), one W(2), and one Mn(2) atom. In the third O site, O(3) is bonded to one Ba(1), two equivalent Ba(2), one La(1), and one W(2) atom to form a mixture of distorted corner, face, and edge-sharing OBa3LaW square pyramids. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Ba(2), one Ba(3), two equivalent La(1), and one W(3) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to two equivalent Ba(3), one La(3), one W(3), and one Mn(1) atom. In the sixth O site, O(6) is bonded in a distorted linear geometry to one Ba(1), one La(3), two equivalent La(2), one W(1), and one Mn(2) atom. is represented by the CIF card [CIF]
data_Ba3La3Mn2(WO6)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   14.270
_cell_length_b   14.270
_cell_length_c   14.270
_cell_angle_alpha   23.568
_cell_angle_beta   23.568
_cell_angle_gamma   23.568
_symmetry_Int_Tables_number   1
_cell_volume   407.999
_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  0.916  0.916  0.916  1.0
  Ba  Ba1  1  0.190  0.190  0.190  1.0
  Ba  Ba2  1  0.085  0.085  0.085  1.0
  La  La3  1  0.820  0.820  0.820  1.0
  La  La4  1  0.640  0.640  0.640  1.0
  La  La5  1  0.366  0.366  0.366  1.0
  Mn  Mn6  1  0.724  0.724  0.724  1.0
  Mn  Mn7  1  0.277  0.277  0.277  1.0
  W  W8  1  1.000  1.000  1.000  1.0
  W  W9  1  0.553  0.553  0.553  1.0
  W  W10  1  0.447  0.447  0.447  1.0
  O  O11  1  0.855  0.855  0.363  1.0
  O  O12  1  0.855  0.363  0.855  1.0
  O  O13  1  0.363  0.855  0.855  1.0
  O  O14  1  0.888  0.429  0.429  1.0
  O  O15  1  0.429  0.429  0.888  1.0
  O  O16  1  0.429  0.888  0.429  1.0
  O  O17  1  0.692  0.199  0.692  1.0
  O  O18  1  0.692  0.692  0.199  1.0
  O  O19  1  0.199  0.692  0.692  1.0
  O  O20  1  0.795  0.308  0.308  1.0
  O  O21  1  0.308  0.308  0.795  1.0
  O  O22  1  0.308  0.795  0.308  1.0
  O  O23  1  0.565  0.115  0.565  1.0
  O  O24  1  0.565  0.565  0.115  1.0
  O  O25  1  0.115  0.565  0.565  1.0
  O  O26  1  0.642  0.139  0.139  1.0
  O  O27  1  0.139  0.642  0.139  1.0
  O  O28  1  0.139  0.139  0.642  1.0
[/CIF]
.
The material structure described by Ba3La3Mn2W3O18 crystallizes in the trigonal R3m space group. There are three inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to three equivalent O(3), three equivalent O(6), and six equivalent O(2) atoms to form BaO12 cuboctahedra that share corners with three equivalent La(3)O12 cuboctahedra, corners with six equivalent Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, faces with three equivalent La(2)O12 cuboctahedra,  a faceface with one W(1)O6 octahedra, faces with three equivalent W(2)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. In the second Ba site, Ba(2) 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 La(2)O12 cuboctahedra, corners with six equivalent Ba(2)O12 cuboctahedra, corners with three equivalent W(3)O6 octahedra,  a faceface with one Ba(3)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra,  a faceface with one Mn(2)O6 octahedra, and faces with three equivalent W(2)O6 octahedra. The corner-sharing octahedral tilt angles are 22°. In the third Ba site, Ba(3) is bonded to three equivalent O(1), three equivalent O(4), and six equivalent O(5) atoms to form BaO12 cuboctahedra that share corners with three equivalent La(2)O12 cuboctahedra, corners with six equivalent Ba(3)O12 cuboctahedra,  a faceface with one Ba(2)O12 cuboctahedra, faces with three equivalent La(3)O12 cuboctahedra,  a faceface with one W(1)O6 octahedra, faces with three equivalent W(3)O6 octahedra, and faces with three equivalent Mn(1)O6 octahedra. There are three inequivalent La sites. In the first La site, La(1) is bonded in a 9-coordinate geometry to three equivalent O(3) and six equivalent O(4) atoms. In the second La site, La(2) is bonded to three equivalent O(1), three equivalent O(2), and six equivalent O(6) atoms to form LaO12 cuboctahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with three equivalent Ba(3)O12 cuboctahedra, corners with six equivalent La(2)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, faces with three equivalent La(3)O12 cuboctahedra,  a faceface with one W(2)O6 octahedra,  a faceface with one Mn(1)O6 octahedra, faces with three equivalent W(1)O6 octahedra, and faces with three equivalent Mn(2)O6 octahedra. In the third La site, La(3) is bonded to three equivalent O(5), three equivalent O(6), and six equivalent O(1) atoms to form LaO12 cuboctahedra that share corners with three equivalent Ba(1)O12 cuboctahedra, corners with six equivalent La(3)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, faces with three equivalent La(2)O12 cuboctahedra,  a faceface with one W(3)O6 octahedra,  a faceface with one Mn(2)O6 octahedra, faces with three equivalent W(1)O6 octahedra, and faces with three equivalent Mn(1)O6 octahedra. There are three inequivalent W sites. In the first W site, W(1) is bonded to three equivalent O(1) and three equivalent O(6) atoms to form WO6 octahedra that share corners with three equivalent Mn(1)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one Ba(3)O12 cuboctahedra, faces with three equivalent La(2)O12 cuboctahedra, and faces with three equivalent La(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the second W site, W(2) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form WO6 octahedra that share corners with three equivalent Mn(2)O6 octahedra,  a faceface with one La(2)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, and faces with three equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. In the third W site, W(3) is bonded to three equivalent O(4) and three equivalent O(5) atoms to form WO6 octahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with three equivalent Mn(1)O6 octahedra,  a faceface with one La(3)O12 cuboctahedra, and faces with three equivalent Ba(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 13°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to three equivalent O(1) and three equivalent O(5) atoms to form MnO6 octahedra that share corners with three equivalent W(1)O6 octahedra, corners with three equivalent W(3)O6 octahedra,  a faceface with one La(2)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, and faces with three equivalent La(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the second Mn site, Mn(2) is bonded to three equivalent O(2) and three equivalent O(6) atoms to form MnO6 octahedra that share corners with three equivalent W(1)O6 octahedra, corners with three equivalent W(2)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, and faces with three equivalent La(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 4-6°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one Ba(3), one La(2), two equivalent La(3), one W(1), and one Mn(1) atom. In the second O site, O(2) is bonded in a distorted linear geometry to one Ba(2), two equivalent Ba(1), one La(2), one W(2), and one Mn(2) atom. In the third O site, O(3) is bonded to one Ba(1), two equivalent Ba(2), one La(1), and one W(2) atom to form a mixture of distorted corner, face, and edge-sharing OBa3LaW square pyramids. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Ba(2), one Ba(3), two equivalent La(1), and one W(3) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to two equivalent Ba(3), one La(3), one W(3), and one Mn(1) atom. In the sixth O site, O(6) is bonded in a distorted linear geometry to one Ba(1), one La(3), two equivalent La(2), one W(1), and one Mn(2) atom. is represented by the CIF card [CIF]
data_Ba3La3Mn2(WO6)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   14.270
_cell_length_b   14.270
_cell_length_c   14.270
_cell_angle_alpha   23.568
_cell_angle_beta   23.568
_cell_angle_gamma   23.568
_symmetry_Int_Tables_number   1
_cell_volume   407.999
_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  0.916  0.916  0.916  1.0
  Ba  Ba1  1  0.190  0.190  0.190  1.0
  Ba  Ba2  1  0.085  0.085  0.085  1.0
  La  La3  1  0.820  0.820  0.820  1.0
  La  La4  1  0.640  0.640  0.640  1.0
  La  La5  1  0.366  0.366  0.366  1.0
  Mn  Mn6  1  0.724  0.724  0.724  1.0
  Mn  Mn7  1  0.277  0.277  0.277  1.0
  W  W8  1  1.000  1.000  1.000  1.0
  W  W9  1  0.553  0.553  0.553  1.0
  W  W10  1  0.447  0.447  0.447  1.0
  O  O11  1  0.855  0.855  0.363  1.0
  O  O12  1  0.855  0.363  0.855  1.0
  O  O13  1  0.363  0.855  0.855  1.0
  O  O14  1  0.888  0.429  0.429  1.0
  O  O15  1  0.429  0.429  0.888  1.0
  O  O16  1  0.429  0.888  0.429  1.0
  O  O17  1  0.692  0.199  0.692  1.0
  O  O18  1  0.692  0.692  0.199  1.0
  O  O19  1  0.199  0.692  0.692  1.0
  O  O20  1  0.795  0.308  0.308  1.0
  O  O21  1  0.308  0.308  0.795  1.0
  O  O22  1  0.308  0.795  0.308  1.0
  O  O23  1  0.565  0.115  0.565  1.0
  O  O24  1  0.565  0.565  0.115  1.0
  O  O25  1  0.115  0.565  0.565  1.0
  O  O26  1  0.642  0.139  0.139  1.0
  O  O27  1  0.139  0.642  0.139  1.0
  O  O28  1  0.139  0.139  0.642  1.0
[/CIF]
.