The crystal structure described by La4Ba2Ti5O18 crystallizes in the trigonal R3m space group. There are two inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to three equivalent O(3), three equivalent O(5), and six equivalent O(1) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with six equivalent Ba(1)O12 cuboctahedra, faces with three equivalent La(4)O12 cuboctahedra,  a faceface with one Ti(3)O6 octahedra, faces with three equivalent Ti(1)O6 octahedra, and faces with three equivalent Ti(4)O6 octahedra. In the second Ba site, Ba(2) is bonded to three equivalent O(2), three equivalent O(3), and six equivalent O(4) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(1)O12 cuboctahedra, corners with six equivalent Ba(2)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra, faces with three equivalent La(4)O12 cuboctahedra,  a faceface with one Ti(2)O6 octahedra,  a faceface with one Ti(4)O6 octahedra, faces with three equivalent Ti(3)O6 octahedra, and faces with three equivalent Ti(5)O6 octahedra. There are four inequivalent La sites. In the first La site, La(1) is bonded to three equivalent O(4), three equivalent O(6), and six equivalent O(2) atoms to form distorted LaO12 cuboctahedra that share corners with three equivalent La(4)O12 cuboctahedra, corners with six equivalent La(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra,  a faceface with one Ti(3)O6 octahedra, faces with three equivalent Ti(2)O6 octahedra, and faces with three equivalent Ti(5)O6 octahedra. In the second La site, La(2) is bonded in a 12-coordinate geometry to three equivalent O(1), three equivalent O(6), and six equivalent O(5) atoms. In the third La site, La(3) is bonded in a 12-coordinate geometry to three equivalent O(2), three equivalent O(5), and six equivalent O(6) atoms. In the fourth La site, La(4) is bonded to three equivalent O(1), three equivalent O(4), and six equivalent O(3) atoms to form LaO12 cuboctahedra that share corners with three equivalent La(1)O12 cuboctahedra, corners with six equivalent La(4)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra,  a faceface with one Ti(1)O6 octahedra,  a faceface with one Ti(5)O6 octahedra, faces with three equivalent Ti(3)O6 octahedra, and faces with three equivalent Ti(4)O6 octahedra. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to three equivalent O(1) and three equivalent O(5) atoms to form distorted TiO6 octahedra that share corners with three equivalent Ti(4)O6 octahedra,  a faceface with one La(4)O12 cuboctahedra, and faces with three equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 12°. In the second Ti site, Ti(2) is bonded to three equivalent O(2) and three equivalent O(6) atoms to form TiO6 octahedra that share corners with three equivalent Ti(5)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra, and faces with three equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 3°. In the third Ti site, Ti(3) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form TiO6 octahedra that share corners with three equivalent Ti(4)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one La(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, and faces with three equivalent La(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 2-3°. In the fourth Ti site, Ti(4) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form TiO6 octahedra that share corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Ti(3)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, and faces with three equivalent La(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the fifth Ti site, Ti(5) is bonded to three equivalent O(2) and three equivalent O(4) atoms to form TiO6 octahedra that share corners with three equivalent Ti(2)O6 octahedra, corners with three equivalent Ti(3)O6 octahedra,  a faceface with one La(4)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, and faces with three equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 2-3°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to two equivalent Ba(1), one La(2), one La(4), one Ti(1), and one Ti(4) atom. In the second O site, O(2) is bonded in a distorted linear geometry to one Ba(2), one La(3), two equivalent La(1), one Ti(2), and one Ti(5) atom. In the third O site, O(3) is bonded in a distorted linear geometry to one Ba(1), one Ba(2), two equivalent La(4), one Ti(3), and one Ti(4) atom. In the fourth O site, O(4) is bonded in a distorted linear geometry to two equivalent Ba(2), one La(1), one La(4), one Ti(3), and one Ti(5) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Ba(1), one La(3), two equivalent La(2), and one Ti(1) atom. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to one La(1), one La(2), two equivalent La(3), and one Ti(2) atom. is represented by the CIF card [CIF]
data_Ba2La4Ti5O18
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   13.945
_cell_length_b   13.945
_cell_length_c   13.945
_cell_angle_alpha   23.252
_cell_angle_beta   23.252
_cell_angle_gamma   23.252
_symmetry_Int_Tables_number   1
_cell_volume   371.054
_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  0.914  0.914  0.914  1.0
  Ba  Ba1  1  0.362  0.362  0.362  1.0
  La  La2  1  0.089  0.089  0.089  1.0
  La  La3  1  0.185  0.185  0.185  1.0
  La  La4  1  0.813  0.813  0.813  1.0
  La  La5  1  0.636  0.636  0.636  1.0
  Ti  Ti6  1  0.548  0.548  0.548  1.0
  Ti  Ti7  1  0.450  0.450  0.450  1.0
  Ti  Ti8  1  0.000  0.000  0.000  1.0
  Ti  Ti9  1  0.275  0.275  0.275  1.0
  Ti  Ti10  1  0.724  0.724  0.724  1.0
  O  O11  1  0.914  0.420  0.420  1.0
  O  O12  1  0.420  0.914  0.420  1.0
  O  O13  1  0.420  0.420  0.914  1.0
  O  O14  1  0.079  0.588  0.588  1.0
  O  O15  1  0.588  0.079  0.588  1.0
  O  O16  1  0.588  0.588  0.079  1.0
  O  O17  1  0.641  0.139  0.139  1.0
  O  O18  1  0.139  0.641  0.139  1.0
  O  O19  1  0.139  0.139  0.641  1.0
  O  O20  1  0.364  0.860  0.860  1.0
  O  O21  1  0.860  0.364  0.860  1.0
  O  O22  1  0.860  0.860  0.364  1.0
  O  O23  1  0.694  0.193  0.694  1.0
  O  O24  1  0.694  0.694  0.193  1.0
  O  O25  1  0.193  0.694  0.694  1.0
  O  O26  1  0.297  0.817  0.297  1.0
  O  O27  1  0.297  0.297  0.817  1.0
  O  O28  1  0.817  0.297  0.297  1.0
[/CIF]
.
The crystal structure described by La4Ba2Ti5O18 crystallizes in the trigonal R3m space group. There are two inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to three equivalent O(3), three equivalent O(5), and six equivalent O(1) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(2)O12 cuboctahedra, corners with six equivalent Ba(1)O12 cuboctahedra, faces with three equivalent La(4)O12 cuboctahedra,  a faceface with one Ti(3)O6 octahedra, faces with three equivalent Ti(1)O6 octahedra, and faces with three equivalent Ti(4)O6 octahedra. In the second Ba site, Ba(2) is bonded to three equivalent O(2), three equivalent O(3), and six equivalent O(4) atoms to form BaO12 cuboctahedra that share corners with three equivalent Ba(1)O12 cuboctahedra, corners with six equivalent Ba(2)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra, faces with three equivalent La(4)O12 cuboctahedra,  a faceface with one Ti(2)O6 octahedra,  a faceface with one Ti(4)O6 octahedra, faces with three equivalent Ti(3)O6 octahedra, and faces with three equivalent Ti(5)O6 octahedra. There are four inequivalent La sites. In the first La site, La(1) is bonded to three equivalent O(4), three equivalent O(6), and six equivalent O(2) atoms to form distorted LaO12 cuboctahedra that share corners with three equivalent La(4)O12 cuboctahedra, corners with six equivalent La(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra,  a faceface with one Ti(3)O6 octahedra, faces with three equivalent Ti(2)O6 octahedra, and faces with three equivalent Ti(5)O6 octahedra. In the second La site, La(2) is bonded in a 12-coordinate geometry to three equivalent O(1), three equivalent O(6), and six equivalent O(5) atoms. In the third La site, La(3) is bonded in a 12-coordinate geometry to three equivalent O(2), three equivalent O(5), and six equivalent O(6) atoms. In the fourth La site, La(4) is bonded to three equivalent O(1), three equivalent O(4), and six equivalent O(3) atoms to form LaO12 cuboctahedra that share corners with three equivalent La(1)O12 cuboctahedra, corners with six equivalent La(4)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra,  a faceface with one Ti(1)O6 octahedra,  a faceface with one Ti(5)O6 octahedra, faces with three equivalent Ti(3)O6 octahedra, and faces with three equivalent Ti(4)O6 octahedra. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to three equivalent O(1) and three equivalent O(5) atoms to form distorted TiO6 octahedra that share corners with three equivalent Ti(4)O6 octahedra,  a faceface with one La(4)O12 cuboctahedra, and faces with three equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 12°. In the second Ti site, Ti(2) is bonded to three equivalent O(2) and three equivalent O(6) atoms to form TiO6 octahedra that share corners with three equivalent Ti(5)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra, and faces with three equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 3°. In the third Ti site, Ti(3) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form TiO6 octahedra that share corners with three equivalent Ti(4)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one La(1)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, and faces with three equivalent La(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 2-3°. In the fourth Ti site, Ti(4) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form TiO6 octahedra that share corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Ti(3)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra, faces with three equivalent Ba(1)O12 cuboctahedra, and faces with three equivalent La(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the fifth Ti site, Ti(5) is bonded to three equivalent O(2) and three equivalent O(4) atoms to form TiO6 octahedra that share corners with three equivalent Ti(2)O6 octahedra, corners with three equivalent Ti(3)O6 octahedra,  a faceface with one La(4)O12 cuboctahedra, faces with three equivalent Ba(2)O12 cuboctahedra, and faces with three equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 2-3°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to two equivalent Ba(1), one La(2), one La(4), one Ti(1), and one Ti(4) atom. In the second O site, O(2) is bonded in a distorted linear geometry to one Ba(2), one La(3), two equivalent La(1), one Ti(2), and one Ti(5) atom. In the third O site, O(3) is bonded in a distorted linear geometry to one Ba(1), one Ba(2), two equivalent La(4), one Ti(3), and one Ti(4) atom. In the fourth O site, O(4) is bonded in a distorted linear geometry to two equivalent Ba(2), one La(1), one La(4), one Ti(3), and one Ti(5) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Ba(1), one La(3), two equivalent La(2), and one Ti(1) atom. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to one La(1), one La(2), two equivalent La(3), and one Ti(2) atom. is represented by the CIF card [CIF]
data_Ba2La4Ti5O18
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   13.945
_cell_length_b   13.945
_cell_length_c   13.945
_cell_angle_alpha   23.252
_cell_angle_beta   23.252
_cell_angle_gamma   23.252
_symmetry_Int_Tables_number   1
_cell_volume   371.054
_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  0.914  0.914  0.914  1.0
  Ba  Ba1  1  0.362  0.362  0.362  1.0
  La  La2  1  0.089  0.089  0.089  1.0
  La  La3  1  0.185  0.185  0.185  1.0
  La  La4  1  0.813  0.813  0.813  1.0
  La  La5  1  0.636  0.636  0.636  1.0
  Ti  Ti6  1  0.548  0.548  0.548  1.0
  Ti  Ti7  1  0.450  0.450  0.450  1.0
  Ti  Ti8  1  0.000  0.000  0.000  1.0
  Ti  Ti9  1  0.275  0.275  0.275  1.0
  Ti  Ti10  1  0.724  0.724  0.724  1.0
  O  O11  1  0.914  0.420  0.420  1.0
  O  O12  1  0.420  0.914  0.420  1.0
  O  O13  1  0.420  0.420  0.914  1.0
  O  O14  1  0.079  0.588  0.588  1.0
  O  O15  1  0.588  0.079  0.588  1.0
  O  O16  1  0.588  0.588  0.079  1.0
  O  O17  1  0.641  0.139  0.139  1.0
  O  O18  1  0.139  0.641  0.139  1.0
  O  O19  1  0.139  0.139  0.641  1.0
  O  O20  1  0.364  0.860  0.860  1.0
  O  O21  1  0.860  0.364  0.860  1.0
  O  O22  1  0.860  0.860  0.364  1.0
  O  O23  1  0.694  0.193  0.694  1.0
  O  O24  1  0.694  0.694  0.193  1.0
  O  O25  1  0.193  0.694  0.694  1.0
  O  O26  1  0.297  0.817  0.297  1.0
  O  O27  1  0.297  0.297  0.817  1.0
  O  O28  1  0.817  0.297  0.297  1.0
[/CIF]
.