The compound described by K4TiO4 crystallizes in the triclinic P-1 space group. There are four inequivalent K sites. In the first K site, K(1) is bonded in a 5-coordinate geometry to one O(2), two equivalent O(1), and two equivalent O(4) atoms. In the second K site, K(2) is bonded in a 5-coordinate geometry to one O(1), one O(2), one O(4), and two equivalent O(3) atoms. In the third K site, K(3) is bonded to one O(2), two equivalent O(1), and two equivalent O(4) atoms to form distorted KO5 trigonal bipyramids that share corners with three equivalent Ti(1)O4 tetrahedra, corners with two equivalent K(4)O4 trigonal pyramids,  an edgeedge with one Ti(1)O4 tetrahedra, and edges with two equivalent K(3)O5 trigonal bipyramids. In the fourth K site, K(4) is bonded to two equivalent O(2) and two equivalent O(3) atoms to form distorted KO4 trigonal pyramids that share corners with four equivalent Ti(1)O4 tetrahedra, corners with two equivalent K(3)O5 trigonal bipyramids, and edges with two equivalent K(4)O4 trigonal pyramids. Ti(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form TiO4 tetrahedra that share corners with three equivalent K(3)O5 trigonal bipyramids, corners with four equivalent K(4)O4 trigonal pyramids, and  an edgeedge with one K(3)O5 trigonal bipyramid. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one K(2), two equivalent K(1), two equivalent K(3), and one Ti(1) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to one K(1), one K(2), one K(3), two equivalent K(4), and one Ti(1) atom. In the third O site, O(3) is bonded in a 1-coordinate geometry to two equivalent K(2), two equivalent K(4), and one Ti(1) atom. In the fourth O site, O(4) is bonded to one K(2), two equivalent K(1), two equivalent K(3), and one Ti(1) atom to form distorted edge-sharing OK5Ti octahedra. is represented by the CIF file [CIF]
data_K4TiO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.369
_cell_length_b   6.415
_cell_length_c   9.566
_cell_angle_alpha   72.080
_cell_angle_beta   79.703
_cell_angle_gamma   66.704
_symmetry_Int_Tables_number   1
_cell_volume   340.840
_cell_formula_units_Z   2
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
  K  K0  1  0.280  0.035  0.381  1.0
  K  K1  1  0.247  0.585  0.162  1.0
  K  K2  1  0.223  0.488  0.561  1.0
  K  K3  1  0.256  0.233  0.971  1.0
  K  K4  1  0.744  0.767  0.029  1.0
  K  K5  1  0.777  0.512  0.439  1.0
  K  K6  1  0.753  0.415  0.838  1.0
  K  K7  1  0.720  0.965  0.619  1.0
  Ti  Ti8  1  0.227  0.843  0.752  1.0
  Ti  Ti9  1  0.773  0.157  0.248  1.0
  O  O10  1  0.051  0.142  0.653  1.0
  O  O11  1  0.045  0.663  0.808  1.0
  O  O12  1  0.630  0.165  0.095  1.0
  O  O13  1  0.544  0.292  0.375  1.0
  O  O14  1  0.456  0.708  0.625  1.0
  O  O15  1  0.370  0.835  0.905  1.0
  O  O16  1  0.955  0.337  0.192  1.0
  O  O17  1  0.949  0.858  0.347  1.0
[/CIF]
.
The compound described by K4TiO4 crystallizes in the triclinic P-1 space group. There are four inequivalent K sites. In the first K site, K(1) is bonded in a 5-coordinate geometry to one O(2), two equivalent O(1), and two equivalent O(4) atoms. In the second K site, K(2) is bonded in a 5-coordinate geometry to one O(1), one O(2), one O(4), and two equivalent O(3) atoms. In the third K site, K(3) is bonded to one O(2), two equivalent O(1), and two equivalent O(4) atoms to form distorted KO5 trigonal bipyramids that share corners with three equivalent Ti(1)O4 tetrahedra, corners with two equivalent K(4)O4 trigonal pyramids,  an edgeedge with one Ti(1)O4 tetrahedra, and edges with two equivalent K(3)O5 trigonal bipyramids. In the fourth K site, K(4) is bonded to two equivalent O(2) and two equivalent O(3) atoms to form distorted KO4 trigonal pyramids that share corners with four equivalent Ti(1)O4 tetrahedra, corners with two equivalent K(3)O5 trigonal bipyramids, and edges with two equivalent K(4)O4 trigonal pyramids. Ti(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form TiO4 tetrahedra that share corners with three equivalent K(3)O5 trigonal bipyramids, corners with four equivalent K(4)O4 trigonal pyramids, and  an edgeedge with one K(3)O5 trigonal bipyramid. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to one K(2), two equivalent K(1), two equivalent K(3), and one Ti(1) atom. In the second O site, O(2) is bonded in a 6-coordinate geometry to one K(1), one K(2), one K(3), two equivalent K(4), and one Ti(1) atom. In the third O site, O(3) is bonded in a 1-coordinate geometry to two equivalent K(2), two equivalent K(4), and one Ti(1) atom. In the fourth O site, O(4) is bonded to one K(2), two equivalent K(1), two equivalent K(3), and one Ti(1) atom to form distorted edge-sharing OK5Ti octahedra. is represented by the CIF file [CIF]
data_K4TiO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.369
_cell_length_b   6.415
_cell_length_c   9.566
_cell_angle_alpha   72.080
_cell_angle_beta   79.703
_cell_angle_gamma   66.704
_symmetry_Int_Tables_number   1
_cell_volume   340.840
_cell_formula_units_Z   2
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
  K  K0  1  0.280  0.035  0.381  1.0
  K  K1  1  0.247  0.585  0.162  1.0
  K  K2  1  0.223  0.488  0.561  1.0
  K  K3  1  0.256  0.233  0.971  1.0
  K  K4  1  0.744  0.767  0.029  1.0
  K  K5  1  0.777  0.512  0.439  1.0
  K  K6  1  0.753  0.415  0.838  1.0
  K  K7  1  0.720  0.965  0.619  1.0
  Ti  Ti8  1  0.227  0.843  0.752  1.0
  Ti  Ti9  1  0.773  0.157  0.248  1.0
  O  O10  1  0.051  0.142  0.653  1.0
  O  O11  1  0.045  0.663  0.808  1.0
  O  O12  1  0.630  0.165  0.095  1.0
  O  O13  1  0.544  0.292  0.375  1.0
  O  O14  1  0.456  0.708  0.625  1.0
  O  O15  1  0.370  0.835  0.905  1.0
  O  O16  1  0.955  0.337  0.192  1.0
  O  O17  1  0.949  0.858  0.347  1.0
[/CIF]
.