The structure described by LiLa5Ti8O24 crystallizes in the monoclinic Cm space group. Li(1) is bonded in an L-shaped geometry to two equivalent O(9) atoms. There are five inequivalent La sites. In the first La site, La(1) is bonded to one O(14), one O(4), one O(6), one O(7), two equivalent O(1), two equivalent O(11), two equivalent O(12), and two equivalent O(3) atoms to form LaO12 cuboctahedra that share corners with two equivalent La(2)O12 cuboctahedra, corners with two equivalent La(5)O12 cuboctahedra, corners with three equivalent La(4)O12 cuboctahedra,  a faceface with one La(2)O12 cuboctahedra,  a faceface with one La(5)O12 cuboctahedra, faces with two equivalent La(3)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, faces with two equivalent Ti(2)O6 octahedra, faces with two equivalent Ti(3)O6 octahedra, and faces with two equivalent Ti(4)O6 octahedra. In the second La site, La(2) is bonded to one O(13), one O(4), one O(5), one O(6), two equivalent O(10), two equivalent O(11), two equivalent O(12), and two equivalent O(8) atoms to form LaO12 cuboctahedra that share corners with two equivalent La(1)O12 cuboctahedra, corners with two equivalent La(3)O12 cuboctahedra, corners with three equivalent La(4)O12 cuboctahedra,  a faceface with one La(1)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra, faces with two equivalent La(5)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, faces with two equivalent Ti(2)O6 octahedra, faces with two equivalent Ti(3)O6 octahedra, and faces with two equivalent Ti(4)O6 octahedra. In the third La site, La(3) is bonded to one O(13), one O(15), one O(16), one O(5), two equivalent O(1), two equivalent O(11), two equivalent O(12), and two equivalent O(3) atoms to form LaO12 cuboctahedra that share  a cornercorner with one La(4)O12 cuboctahedra, corners with two equivalent La(2)O12 cuboctahedra, corners with two equivalent La(5)O12 cuboctahedra,  a faceface with one La(2)O12 cuboctahedra,  a faceface with one La(4)O12 cuboctahedra,  a faceface with one La(5)O12 cuboctahedra, faces with two equivalent La(1)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, faces with two equivalent Ti(2)O6 octahedra, faces with two equivalent Ti(3)O6 octahedra, and faces with two equivalent Ti(4)O6 octahedra. In the fourth La site, La(4) is bonded to one O(13), one O(14), one O(15), one O(16), two equivalent O(2), two equivalent O(3), two equivalent O(8), and two equivalent O(9) atoms to form LaO12 cuboctahedra that share  a cornercorner with one La(3)O12 cuboctahedra,  a cornercorner with one La(5)O12 cuboctahedra, corners with three equivalent La(1)O12 cuboctahedra, corners with three equivalent La(2)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra,  a faceface with one La(5)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, faces with two equivalent Ti(2)O6 octahedra, faces with two equivalent Ti(3)O6 octahedra, and faces with two equivalent Ti(4)O6 octahedra. In the fifth La site, La(5) is bonded to one O(14), one O(15), one O(16), one O(7), two equivalent O(10), two equivalent O(11), two equivalent O(12), and two equivalent O(8) atoms to form LaO12 cuboctahedra that share  a cornercorner with one La(4)O12 cuboctahedra, corners with two equivalent La(1)O12 cuboctahedra, corners with two equivalent La(3)O12 cuboctahedra,  a faceface with one La(1)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra,  a faceface with one La(4)O12 cuboctahedra, faces with two equivalent La(2)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, faces with two equivalent Ti(2)O6 octahedra, faces with two equivalent Ti(3)O6 octahedra, and faces with two equivalent Ti(4)O6 octahedra. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(11), one O(15), one O(2), one O(4), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra,  a faceface with one La(1)O12 cuboctahedra,  a faceface with one La(2)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra,  a faceface with one La(4)O12 cuboctahedra, and  a faceface with one La(5)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 5-16°. In the second Ti site, Ti(2) is bonded to one O(10), one O(12), one O(13), one O(2), one O(3), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  a faceface with one La(1)O12 cuboctahedra,  a faceface with one La(2)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra,  a faceface with one La(4)O12 cuboctahedra, and  a faceface with one La(5)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 1-14°. In the third Ti site, Ti(3) is bonded to one O(10), one O(11), one O(16), one O(3), one O(6), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  a faceface with one La(1)O12 cuboctahedra,  a faceface with one La(2)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra,  a faceface with one La(4)O12 cuboctahedra, and  a faceface with one La(5)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 5-17°. In the fourth Ti site, Ti(4) is bonded to one O(1), one O(12), one O(14), one O(5), one O(8), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra,  a faceface with one La(1)O12 cuboctahedra,  a faceface with one La(2)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra,  a faceface with one La(4)O12 cuboctahedra, and  a faceface with one La(5)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 1-17°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to one La(1), one La(3), one Ti(1), and one Ti(4) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one La(4), one Ti(1), and one Ti(2) atom. In the third O site, O(3) is bonded to one La(1), one La(3), one La(4), one Ti(2), and one Ti(3) atom to form distorted OLa3Ti2 square pyramids that share corners with two equivalent O(12)La4Ti2 octahedra,  a cornercorner with one O(3)La3Ti2 square pyramid, corners with two equivalent O(15)La3Ti2 square pyramids, corners with two equivalent O(8)La3Ti2 square pyramids,  an edgeedge with one O(3)La3Ti2 square pyramid,  a faceface with one O(12)La4Ti2 octahedra, and  a faceface with one O(13)La3Ti2 square pyramid. The corner-sharing octahedral tilt angles range from 57-60°. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one La(1), one La(2), and two equivalent Ti(1) atoms. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one La(2), one La(3), and two equivalent Ti(4) atoms. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one La(1), one La(2), and two equivalent Ti(3) atoms. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one La(1), one La(5), and two equivalent Ti(2) atoms. In the eighth O site, O(8) is bonded to one La(2), one La(4), one La(5), one Ti(1), and one Ti(4) atom to form distorted OLa3Ti2 square pyramids that share corners with two equivalent O(12)La4Ti2 octahedra,  a cornercorner with one O(8)La3Ti2 square pyramid, corners with two equivalent O(13)La3Ti2 square pyramids, corners with two equivalent O(3)La3Ti2 square pyramids,  an edgeedge with one O(8)La3Ti2 square pyramid,  a faceface with one O(12)La4Ti2 octahedra, and  a faceface with one O(15)La3Ti2 square pyramid. The corner-sharing octahedral tilt angles range from 58-60°. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one La(4), one Ti(3), and one Ti(4) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one La(2), one La(5), one Ti(2), and one Ti(3) atom. In the eleventh O site, O(11) is bonded in a distorted linear geometry to one La(1), one La(2), one La(3), one La(5), one Ti(1), and one Ti(3) atom. In the twelfth O site, O(12) is bonded to one La(1), one La(2), one La(3), one La(5), one Ti(2), and one Ti(4) atom to form distorted OLa4Ti2 octahedra that share corners with two equivalent O(15)La3Ti2 square pyramids, corners with two equivalent O(3)La3Ti2 square pyramids, corners with two equivalent O(8)La3Ti2 square pyramids, edges with two equivalent O(12)La4Ti2 octahedra,  a faceface with one O(13)La3Ti2 square pyramid,  a faceface with one O(3)La3Ti2 square pyramid, and  a faceface with one O(8)La3Ti2 square pyramid. In the thirteenth O site, O(13) is bonded to one La(2), one La(3), one La(4), and two equivalent Ti(2) atoms to form distorted OLa3Ti2 square pyramids that share corners with two equivalent O(15)La3Ti2 square pyramids, corners with four equivalent O(8)La3Ti2 square pyramids, faces with two equivalent O(12)La4Ti2 octahedra, and faces with two equivalent O(3)La3Ti2 square pyramids. In the fourteenth O site, O(14) is bonded in a 2-coordinate geometry to one La(1), one La(4), one La(5), and two equivalent Ti(4) atoms. In the fifteenth O site, O(15) is bonded to one La(3), one La(4), one La(5), and two equivalent Ti(1) atoms to form distorted OLa3Ti2 square pyramids that share corners with four equivalent O(12)La4Ti2 octahedra, corners with two equivalent O(13)La3Ti2 square pyramids, corners with four equivalent O(3)La3Ti2 square pyramids, and faces with two equivalent O(8)La3Ti2 square pyramids. The corner-sharing octahedral tilt angles range from 59-60°. In the sixteenth O site, O(16) is bonded in a 2-coordinate geometry to one La(3), one La(4), one La(5), and two equivalent Ti(3) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiLa5Ti8O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.706
_cell_length_b   8.706
_cell_length_c   8.765
_cell_angle_alpha   66.625
_cell_angle_beta   66.625
_cell_angle_gamma   53.176
_symmetry_Int_Tables_number   1
_cell_volume   476.605
_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
  Li  Li0  1  0.508  0.508  0.000  1.0
  La  La1  1  0.377  0.377  0.501  1.0
  La  La2  1  0.125  0.125  0.498  1.0
  La  La3  1  0.872  0.872  0.502  1.0
  La  La4  1  0.751  0.751  0.000  1.0
  La  La5  1  0.626  0.626  0.499  1.0
  Ti  Ti6  1  0.563  0.070  0.240  1.0
  Ti  Ti7  1  0.684  0.190  0.760  1.0
  Ti  Ti8  1  0.190  0.684  0.760  1.0
  Ti  Ti9  1  0.939  0.429  0.760  1.0
  Ti  Ti10  1  0.818  0.309  0.240  1.0
  Ti  Ti11  1  0.070  0.563  0.240  1.0
  Ti  Ti12  1  0.429  0.939  0.760  1.0
  Ti  Ti13  1  0.309  0.818  0.240  1.0
  O  O14  1  0.676  0.190  0.268  1.0
  O  O15  1  0.630  0.108  1.000  1.0
  O  O16  1  0.576  0.055  0.736  1.0
  O  O17  1  0.306  0.306  0.275  1.0
  O  O18  1  0.057  0.057  0.273  1.0
  O  O19  1  0.196  0.196  0.723  1.0
  O  O20  1  0.443  0.443  0.732  1.0
  O  O21  1  0.925  0.442  0.265  1.0
  O  O22  1  0.848  0.408  0.000  1.0
  O  O23  1  0.190  0.676  0.268  1.0
  O  O24  1  0.815  0.319  0.731  1.0
  O  O25  1  0.055  0.576  0.736  1.0
  O  O26  1  0.108  0.630  1.000  1.0
  O  O27  1  0.993  0.506  0.500  1.0
  O  O28  1  0.748  0.251  0.500  1.0
  O  O29  1  0.937  0.937  0.733  1.0
  O  O30  1  0.562  0.562  0.268  1.0
  O  O31  1  0.805  0.805  0.262  1.0
  O  O32  1  0.694  0.694  0.735  1.0
  O  O33  1  0.506  0.993  0.500  1.0
  O  O34  1  0.442  0.925  0.265  1.0
  O  O35  1  0.251  0.748  0.500  1.0
  O  O36  1  0.408  0.848  0.000  1.0
  O  O37  1  0.319  0.815  0.731  1.0
[/CIF]
.
The structure described by LiLa5Ti8O24 crystallizes in the monoclinic Cm space group. Li(1) is bonded in an L-shaped geometry to two equivalent O(9) atoms. There are five inequivalent La sites. In the first La site, La(1) is bonded to one O(14), one O(4), one O(6), one O(7), two equivalent O(1), two equivalent O(11), two equivalent O(12), and two equivalent O(3) atoms to form LaO12 cuboctahedra that share corners with two equivalent La(2)O12 cuboctahedra, corners with two equivalent La(5)O12 cuboctahedra, corners with three equivalent La(4)O12 cuboctahedra,  a faceface with one La(2)O12 cuboctahedra,  a faceface with one La(5)O12 cuboctahedra, faces with two equivalent La(3)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, faces with two equivalent Ti(2)O6 octahedra, faces with two equivalent Ti(3)O6 octahedra, and faces with two equivalent Ti(4)O6 octahedra. In the second La site, La(2) is bonded to one O(13), one O(4), one O(5), one O(6), two equivalent O(10), two equivalent O(11), two equivalent O(12), and two equivalent O(8) atoms to form LaO12 cuboctahedra that share corners with two equivalent La(1)O12 cuboctahedra, corners with two equivalent La(3)O12 cuboctahedra, corners with three equivalent La(4)O12 cuboctahedra,  a faceface with one La(1)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra, faces with two equivalent La(5)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, faces with two equivalent Ti(2)O6 octahedra, faces with two equivalent Ti(3)O6 octahedra, and faces with two equivalent Ti(4)O6 octahedra. In the third La site, La(3) is bonded to one O(13), one O(15), one O(16), one O(5), two equivalent O(1), two equivalent O(11), two equivalent O(12), and two equivalent O(3) atoms to form LaO12 cuboctahedra that share  a cornercorner with one La(4)O12 cuboctahedra, corners with two equivalent La(2)O12 cuboctahedra, corners with two equivalent La(5)O12 cuboctahedra,  a faceface with one La(2)O12 cuboctahedra,  a faceface with one La(4)O12 cuboctahedra,  a faceface with one La(5)O12 cuboctahedra, faces with two equivalent La(1)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, faces with two equivalent Ti(2)O6 octahedra, faces with two equivalent Ti(3)O6 octahedra, and faces with two equivalent Ti(4)O6 octahedra. In the fourth La site, La(4) is bonded to one O(13), one O(14), one O(15), one O(16), two equivalent O(2), two equivalent O(3), two equivalent O(8), and two equivalent O(9) atoms to form LaO12 cuboctahedra that share  a cornercorner with one La(3)O12 cuboctahedra,  a cornercorner with one La(5)O12 cuboctahedra, corners with three equivalent La(1)O12 cuboctahedra, corners with three equivalent La(2)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra,  a faceface with one La(5)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, faces with two equivalent Ti(2)O6 octahedra, faces with two equivalent Ti(3)O6 octahedra, and faces with two equivalent Ti(4)O6 octahedra. In the fifth La site, La(5) is bonded to one O(14), one O(15), one O(16), one O(7), two equivalent O(10), two equivalent O(11), two equivalent O(12), and two equivalent O(8) atoms to form LaO12 cuboctahedra that share  a cornercorner with one La(4)O12 cuboctahedra, corners with two equivalent La(1)O12 cuboctahedra, corners with two equivalent La(3)O12 cuboctahedra,  a faceface with one La(1)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra,  a faceface with one La(4)O12 cuboctahedra, faces with two equivalent La(2)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, faces with two equivalent Ti(2)O6 octahedra, faces with two equivalent Ti(3)O6 octahedra, and faces with two equivalent Ti(4)O6 octahedra. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(11), one O(15), one O(2), one O(4), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra,  a faceface with one La(1)O12 cuboctahedra,  a faceface with one La(2)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra,  a faceface with one La(4)O12 cuboctahedra, and  a faceface with one La(5)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 5-16°. In the second Ti site, Ti(2) is bonded to one O(10), one O(12), one O(13), one O(2), one O(3), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  a faceface with one La(1)O12 cuboctahedra,  a faceface with one La(2)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra,  a faceface with one La(4)O12 cuboctahedra, and  a faceface with one La(5)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 1-14°. In the third Ti site, Ti(3) is bonded to one O(10), one O(11), one O(16), one O(3), one O(6), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  a faceface with one La(1)O12 cuboctahedra,  a faceface with one La(2)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra,  a faceface with one La(4)O12 cuboctahedra, and  a faceface with one La(5)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 5-17°. In the fourth Ti site, Ti(4) is bonded to one O(1), one O(12), one O(14), one O(5), one O(8), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra,  a faceface with one La(1)O12 cuboctahedra,  a faceface with one La(2)O12 cuboctahedra,  a faceface with one La(3)O12 cuboctahedra,  a faceface with one La(4)O12 cuboctahedra, and  a faceface with one La(5)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 1-17°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to one La(1), one La(3), one Ti(1), and one Ti(4) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one La(4), one Ti(1), and one Ti(2) atom. In the third O site, O(3) is bonded to one La(1), one La(3), one La(4), one Ti(2), and one Ti(3) atom to form distorted OLa3Ti2 square pyramids that share corners with two equivalent O(12)La4Ti2 octahedra,  a cornercorner with one O(3)La3Ti2 square pyramid, corners with two equivalent O(15)La3Ti2 square pyramids, corners with two equivalent O(8)La3Ti2 square pyramids,  an edgeedge with one O(3)La3Ti2 square pyramid,  a faceface with one O(12)La4Ti2 octahedra, and  a faceface with one O(13)La3Ti2 square pyramid. The corner-sharing octahedral tilt angles range from 57-60°. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one La(1), one La(2), and two equivalent Ti(1) atoms. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one La(2), one La(3), and two equivalent Ti(4) atoms. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one La(1), one La(2), and two equivalent Ti(3) atoms. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one La(1), one La(5), and two equivalent Ti(2) atoms. In the eighth O site, O(8) is bonded to one La(2), one La(4), one La(5), one Ti(1), and one Ti(4) atom to form distorted OLa3Ti2 square pyramids that share corners with two equivalent O(12)La4Ti2 octahedra,  a cornercorner with one O(8)La3Ti2 square pyramid, corners with two equivalent O(13)La3Ti2 square pyramids, corners with two equivalent O(3)La3Ti2 square pyramids,  an edgeedge with one O(8)La3Ti2 square pyramid,  a faceface with one O(12)La4Ti2 octahedra, and  a faceface with one O(15)La3Ti2 square pyramid. The corner-sharing octahedral tilt angles range from 58-60°. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one La(4), one Ti(3), and one Ti(4) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one La(2), one La(5), one Ti(2), and one Ti(3) atom. In the eleventh O site, O(11) is bonded in a distorted linear geometry to one La(1), one La(2), one La(3), one La(5), one Ti(1), and one Ti(3) atom. In the twelfth O site, O(12) is bonded to one La(1), one La(2), one La(3), one La(5), one Ti(2), and one Ti(4) atom to form distorted OLa4Ti2 octahedra that share corners with two equivalent O(15)La3Ti2 square pyramids, corners with two equivalent O(3)La3Ti2 square pyramids, corners with two equivalent O(8)La3Ti2 square pyramids, edges with two equivalent O(12)La4Ti2 octahedra,  a faceface with one O(13)La3Ti2 square pyramid,  a faceface with one O(3)La3Ti2 square pyramid, and  a faceface with one O(8)La3Ti2 square pyramid. In the thirteenth O site, O(13) is bonded to one La(2), one La(3), one La(4), and two equivalent Ti(2) atoms to form distorted OLa3Ti2 square pyramids that share corners with two equivalent O(15)La3Ti2 square pyramids, corners with four equivalent O(8)La3Ti2 square pyramids, faces with two equivalent O(12)La4Ti2 octahedra, and faces with two equivalent O(3)La3Ti2 square pyramids. In the fourteenth O site, O(14) is bonded in a 2-coordinate geometry to one La(1), one La(4), one La(5), and two equivalent Ti(4) atoms. In the fifteenth O site, O(15) is bonded to one La(3), one La(4), one La(5), and two equivalent Ti(1) atoms to form distorted OLa3Ti2 square pyramids that share corners with four equivalent O(12)La4Ti2 octahedra, corners with two equivalent O(13)La3Ti2 square pyramids, corners with four equivalent O(3)La3Ti2 square pyramids, and faces with two equivalent O(8)La3Ti2 square pyramids. The corner-sharing octahedral tilt angles range from 59-60°. In the sixteenth O site, O(16) is bonded in a 2-coordinate geometry to one La(3), one La(4), one La(5), and two equivalent Ti(3) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiLa5Ti8O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.706
_cell_length_b   8.706
_cell_length_c   8.765
_cell_angle_alpha   66.625
_cell_angle_beta   66.625
_cell_angle_gamma   53.176
_symmetry_Int_Tables_number   1
_cell_volume   476.605
_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
  Li  Li0  1  0.508  0.508  0.000  1.0
  La  La1  1  0.377  0.377  0.501  1.0
  La  La2  1  0.125  0.125  0.498  1.0
  La  La3  1  0.872  0.872  0.502  1.0
  La  La4  1  0.751  0.751  0.000  1.0
  La  La5  1  0.626  0.626  0.499  1.0
  Ti  Ti6  1  0.563  0.070  0.240  1.0
  Ti  Ti7  1  0.684  0.190  0.760  1.0
  Ti  Ti8  1  0.190  0.684  0.760  1.0
  Ti  Ti9  1  0.939  0.429  0.760  1.0
  Ti  Ti10  1  0.818  0.309  0.240  1.0
  Ti  Ti11  1  0.070  0.563  0.240  1.0
  Ti  Ti12  1  0.429  0.939  0.760  1.0
  Ti  Ti13  1  0.309  0.818  0.240  1.0
  O  O14  1  0.676  0.190  0.268  1.0
  O  O15  1  0.630  0.108  1.000  1.0
  O  O16  1  0.576  0.055  0.736  1.0
  O  O17  1  0.306  0.306  0.275  1.0
  O  O18  1  0.057  0.057  0.273  1.0
  O  O19  1  0.196  0.196  0.723  1.0
  O  O20  1  0.443  0.443  0.732  1.0
  O  O21  1  0.925  0.442  0.265  1.0
  O  O22  1  0.848  0.408  0.000  1.0
  O  O23  1  0.190  0.676  0.268  1.0
  O  O24  1  0.815  0.319  0.731  1.0
  O  O25  1  0.055  0.576  0.736  1.0
  O  O26  1  0.108  0.630  1.000  1.0
  O  O27  1  0.993  0.506  0.500  1.0
  O  O28  1  0.748  0.251  0.500  1.0
  O  O29  1  0.937  0.937  0.733  1.0
  O  O30  1  0.562  0.562  0.268  1.0
  O  O31  1  0.805  0.805  0.262  1.0
  O  O32  1  0.694  0.694  0.735  1.0
  O  O33  1  0.506  0.993  0.500  1.0
  O  O34  1  0.442  0.925  0.265  1.0
  O  O35  1  0.251  0.748  0.500  1.0
  O  O36  1  0.408  0.848  0.000  1.0
  O  O37  1  0.319  0.815  0.731  1.0
[/CIF]
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