The compound described by LaBa4Nb3TiO15 crystallizes in the trigonal P3m1 space group. There are four inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 12-coordinate geometry to three equivalent O(1), three equivalent O(3), and six equivalent O(2) atoms. In the second Ba site, Ba(2) is bonded to three equivalent O(2), three equivalent O(4), and six equivalent O(1) atoms to form distorted BaO12 cuboctahedra that share corners with three equivalent Ba(3)O12 cuboctahedra, corners with six equivalent Ba(2)O12 cuboctahedra, corners with three equivalent Nb(2)O6 octahedra,  a faceface with one La(1)O12 cuboctahedra, faces with three equivalent Ba(4)O12 cuboctahedra,  a faceface with one Nb(3)O6 octahedra, and faces with three equivalent Nb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 30°. In the third Ba site, Ba(3) is bonded to three equivalent O(3), three equivalent O(4), and six equivalent O(5) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with six equivalent Ba(3)O12 cuboctahedra, faces with three equivalent Ba(4)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, faces with three equivalent Ti(1)O6 octahedra, and faces with three equivalent Nb(3)O6 octahedra. In the fourth Ba site, Ba(4) is bonded to three equivalent O(1), three equivalent O(5), and six equivalent O(4) atoms to form BaO12 cuboctahedra that share corners with three equivalent La(1)O12 cuboctahedra, corners with six equivalent Ba(4)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra,  a faceface with one Ti(1)O6 octahedra, faces with three equivalent Nb(1)O6 octahedra, and faces with three equivalent Nb(3)O6 octahedra. La(1) is bonded to three equivalent O(2), three equivalent O(5), and six equivalent O(3) atoms to form distorted LaO12 cuboctahedra that share corners with three equivalent Ba(4)O12 cuboctahedra, corners with six equivalent La(1)O12 cuboctahedra,  a faceface with one Ba(2)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra,  a faceface with one Nb(3)O6 octahedra, faces with three equivalent Ti(1)O6 octahedra, and faces with three equivalent Nb(2)O6 octahedra. Ti(1) is bonded to three equivalent O(3) and three equivalent O(5) atoms to form TiO6 octahedra that share corners with three equivalent Nb(2)O6 octahedra, corners with three equivalent Nb(3)O6 octahedra,  a faceface with one Ba(4)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, and faces with three equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 3-6°. There are three inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form distorted NbO6 octahedra that share corners with three equivalent Nb(3)O6 octahedra,  a faceface with one Ba(3)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, and faces with three equivalent Ba(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 7°. In the second Nb site, Nb(2) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form NbO6 octahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with three equivalent Ti(1)O6 octahedra,  a faceface with one Ba(3)O12 cuboctahedra, and faces with three equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. In the third Nb site, Nb(3) is bonded to three equivalent O(4) and three equivalent O(5) atoms to form NbO6 octahedra that share corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one La(1)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, and faces with three equivalent Ba(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 3-7°. There are five inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(4), two equivalent Ba(2), and one Nb(1) atom. In the second O site, O(2) is bonded in a 5-coordinate geometry to one Ba(2), two equivalent Ba(1), one La(1), and one Nb(2) atom. In the third O site, O(3) is bonded in a 2-coordinate geometry to one Ba(1), one Ba(3), two equivalent La(1), one Ti(1), and one Nb(2) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one Ba(2), one Ba(3), two equivalent Ba(4), one Nb(1), and one Nb(3) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to one Ba(4), two equivalent Ba(3), one La(1), one Ti(1), and one Nb(3) atom. is represented by the CIF card [CIF]
data_Ba4LaTiNb3O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.811
_cell_length_b   5.811
_cell_length_c   11.847
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   346.467
_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  0.667  0.333  0.425  1.0
  Ba  Ba1  1  0.000  0.000  0.575  1.0
  Ba  Ba2  1  0.333  0.667  0.002  1.0
  Ba  Ba3  1  0.667  0.333  0.795  1.0
  La  La4  1  0.000  0.000  0.214  1.0
  Ti  Ti5  1  0.667  0.333  0.106  1.0
  Nb  Nb6  1  0.333  0.667  0.684  1.0
  Nb  Nb7  1  0.333  0.667  0.307  1.0
  Nb  Nb8  1  0.000  0.000  0.902  1.0
  O  O9  1  0.003  0.501  0.610  1.0
  O  O10  1  0.499  0.501  0.610  1.0
  O  O11  1  0.499  0.997  0.610  1.0
  O  O12  1  0.676  0.838  0.376  1.0
  O  O13  1  0.162  0.838  0.376  1.0
  O  O14  1  0.162  0.324  0.376  1.0
  O  O15  1  0.995  0.497  0.193  1.0
  O  O16  1  0.503  0.497  0.193  1.0
  O  O17  1  0.503  0.005  0.193  1.0
  O  O18  1  0.671  0.835  0.809  1.0
  O  O19  1  0.165  0.835  0.809  1.0
  O  O20  1  0.165  0.329  0.809  1.0
  O  O21  1  0.836  0.164  0.008  1.0
  O  O22  1  0.836  0.672  0.008  1.0
  O  O23  1  0.328  0.164  0.008  1.0
[/CIF]
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The compound described by LaBa4Nb3TiO15 crystallizes in the trigonal P3m1 space group. There are four inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 12-coordinate geometry to three equivalent O(1), three equivalent O(3), and six equivalent O(2) atoms. In the second Ba site, Ba(2) is bonded to three equivalent O(2), three equivalent O(4), and six equivalent O(1) atoms to form distorted BaO12 cuboctahedra that share corners with three equivalent Ba(3)O12 cuboctahedra, corners with six equivalent Ba(2)O12 cuboctahedra, corners with three equivalent Nb(2)O6 octahedra,  a faceface with one La(1)O12 cuboctahedra, faces with three equivalent Ba(4)O12 cuboctahedra,  a faceface with one Nb(3)O6 octahedra, and faces with three equivalent Nb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 30°. In the third Ba site, Ba(3) is bonded to three equivalent O(3), three equivalent O(4), and six equivalent O(5) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with six equivalent Ba(3)O12 cuboctahedra, faces with three equivalent Ba(4)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, faces with three equivalent Ti(1)O6 octahedra, and faces with three equivalent Nb(3)O6 octahedra. In the fourth Ba site, Ba(4) is bonded to three equivalent O(1), three equivalent O(5), and six equivalent O(4) atoms to form BaO12 cuboctahedra that share corners with three equivalent La(1)O12 cuboctahedra, corners with six equivalent Ba(4)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra,  a faceface with one Ti(1)O6 octahedra, faces with three equivalent Nb(1)O6 octahedra, and faces with three equivalent Nb(3)O6 octahedra. La(1) is bonded to three equivalent O(2), three equivalent O(5), and six equivalent O(3) atoms to form distorted LaO12 cuboctahedra that share corners with three equivalent Ba(4)O12 cuboctahedra, corners with six equivalent La(1)O12 cuboctahedra,  a faceface with one Ba(2)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra,  a faceface with one Nb(3)O6 octahedra, faces with three equivalent Ti(1)O6 octahedra, and faces with three equivalent Nb(2)O6 octahedra. Ti(1) is bonded to three equivalent O(3) and three equivalent O(5) atoms to form TiO6 octahedra that share corners with three equivalent Nb(2)O6 octahedra, corners with three equivalent Nb(3)O6 octahedra,  a faceface with one Ba(4)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, and faces with three equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 3-6°. There are three inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form distorted NbO6 octahedra that share corners with three equivalent Nb(3)O6 octahedra,  a faceface with one Ba(3)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, and faces with three equivalent Ba(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 7°. In the second Nb site, Nb(2) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form NbO6 octahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with three equivalent Ti(1)O6 octahedra,  a faceface with one Ba(3)O12 cuboctahedra, and faces with three equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. In the third Nb site, Nb(3) is bonded to three equivalent O(4) and three equivalent O(5) atoms to form NbO6 octahedra that share corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one La(1)O12 cuboctahedra, faces with three equivalent Ba(3)O12 cuboctahedra, and faces with three equivalent Ba(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 3-7°. There are five inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Ba(1), one Ba(4), two equivalent Ba(2), and one Nb(1) atom. In the second O site, O(2) is bonded in a 5-coordinate geometry to one Ba(2), two equivalent Ba(1), one La(1), and one Nb(2) atom. In the third O site, O(3) is bonded in a 2-coordinate geometry to one Ba(1), one Ba(3), two equivalent La(1), one Ti(1), and one Nb(2) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one Ba(2), one Ba(3), two equivalent Ba(4), one Nb(1), and one Nb(3) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to one Ba(4), two equivalent Ba(3), one La(1), one Ti(1), and one Nb(3) atom. is represented by the CIF card [CIF]
data_Ba4LaTiNb3O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.811
_cell_length_b   5.811
_cell_length_c   11.847
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   346.467
_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  0.667  0.333  0.425  1.0
  Ba  Ba1  1  0.000  0.000  0.575  1.0
  Ba  Ba2  1  0.333  0.667  0.002  1.0
  Ba  Ba3  1  0.667  0.333  0.795  1.0
  La  La4  1  0.000  0.000  0.214  1.0
  Ti  Ti5  1  0.667  0.333  0.106  1.0
  Nb  Nb6  1  0.333  0.667  0.684  1.0
  Nb  Nb7  1  0.333  0.667  0.307  1.0
  Nb  Nb8  1  0.000  0.000  0.902  1.0
  O  O9  1  0.003  0.501  0.610  1.0
  O  O10  1  0.499  0.501  0.610  1.0
  O  O11  1  0.499  0.997  0.610  1.0
  O  O12  1  0.676  0.838  0.376  1.0
  O  O13  1  0.162  0.838  0.376  1.0
  O  O14  1  0.162  0.324  0.376  1.0
  O  O15  1  0.995  0.497  0.193  1.0
  O  O16  1  0.503  0.497  0.193  1.0
  O  O17  1  0.503  0.005  0.193  1.0
  O  O18  1  0.671  0.835  0.809  1.0
  O  O19  1  0.165  0.835  0.809  1.0
  O  O20  1  0.165  0.329  0.809  1.0
  O  O21  1  0.836  0.164  0.008  1.0
  O  O22  1  0.836  0.672  0.008  1.0
  O  O23  1  0.328  0.164  0.008  1.0
[/CIF]
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