The crystal structure described by K3Ti4Si3O20 crystallizes in the cubic P-43m space group. K(1) is bonded in a 12-coordinate geometry to four equivalent O(3) and eight equivalent O(1) atoms. Ti(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form distorted TiO6 octahedra that share corners with three equivalent Si(1)O4 tetrahedra and edges with three equivalent Ti(1)O6 octahedra. Si(1) is bonded to four equivalent O(1) atoms to form SiO4 tetrahedra that share corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 120 degrees geometry to two equivalent K(1), one Ti(1), and one Si(1) atom. In the second O site, O(2) is bonded in a trigonal non-coplanar geometry to three equivalent Ti(1) atoms. In the third O site, O(3) is bonded in a trigonal planar geometry to three equivalent K(1) atoms. is represented by the CIF card [CIF]
data_K3Ti4Si3O20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.837
_cell_length_b   7.837
_cell_length_c   7.837
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   481.419
_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
  K  K0  1  0.500  0.500  0.000  1.0
  K  K1  1  0.500  0.000  0.500  1.0
  K  K2  1  0.000  0.500  0.500  1.0
  Ti  Ti3  1  0.854  0.854  0.146  1.0
  Ti  Ti4  1  0.854  0.146  0.854  1.0
  Ti  Ti5  1  0.146  0.854  0.854  1.0
  Ti  Ti6  1  0.146  0.146  0.146  1.0
  Si  Si7  1  0.000  0.000  0.500  1.0
  Si  Si8  1  0.000  0.500  0.000  1.0
  Si  Si9  1  0.500  0.000  0.000  1.0
  O  O10  1  0.616  0.877  0.123  1.0
  O  O11  1  0.877  0.877  0.384  1.0
  O  O12  1  0.877  0.616  0.123  1.0
  O  O13  1  0.616  0.123  0.877  1.0
  O  O14  1  0.877  0.123  0.616  1.0
  O  O15  1  0.877  0.384  0.877  1.0
  O  O16  1  0.384  0.877  0.877  1.0
  O  O17  1  0.123  0.877  0.616  1.0
  O  O18  1  0.123  0.616  0.877  1.0
  O  O19  1  0.384  0.123  0.123  1.0
  O  O20  1  0.123  0.123  0.384  1.0
  O  O21  1  0.123  0.384  0.123  1.0
  O  O22  1  0.112  0.112  0.888  1.0
  O  O23  1  0.112  0.888  0.112  1.0
  O  O24  1  0.888  0.112  0.112  1.0
  O  O25  1  0.888  0.888  0.888  1.0
  O  O26  1  0.322  0.322  0.678  1.0
  O  O27  1  0.322  0.678  0.322  1.0
  O  O28  1  0.678  0.322  0.322  1.0
  O  O29  1  0.678  0.678  0.678  1.0
[/CIF]
.
The crystal structure described by K3Ti4Si3O20 crystallizes in the cubic P-43m space group. K(1) is bonded in a 12-coordinate geometry to four equivalent O(3) and eight equivalent O(1) atoms. Ti(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form distorted TiO6 octahedra that share corners with three equivalent Si(1)O4 tetrahedra and edges with three equivalent Ti(1)O6 octahedra. Si(1) is bonded to four equivalent O(1) atoms to form SiO4 tetrahedra that share corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 120 degrees geometry to two equivalent K(1), one Ti(1), and one Si(1) atom. In the second O site, O(2) is bonded in a trigonal non-coplanar geometry to three equivalent Ti(1) atoms. In the third O site, O(3) is bonded in a trigonal planar geometry to three equivalent K(1) atoms. is represented by the CIF card [CIF]
data_K3Ti4Si3O20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.837
_cell_length_b   7.837
_cell_length_c   7.837
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   481.419
_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
  K  K0  1  0.500  0.500  0.000  1.0
  K  K1  1  0.500  0.000  0.500  1.0
  K  K2  1  0.000  0.500  0.500  1.0
  Ti  Ti3  1  0.854  0.854  0.146  1.0
  Ti  Ti4  1  0.854  0.146  0.854  1.0
  Ti  Ti5  1  0.146  0.854  0.854  1.0
  Ti  Ti6  1  0.146  0.146  0.146  1.0
  Si  Si7  1  0.000  0.000  0.500  1.0
  Si  Si8  1  0.000  0.500  0.000  1.0
  Si  Si9  1  0.500  0.000  0.000  1.0
  O  O10  1  0.616  0.877  0.123  1.0
  O  O11  1  0.877  0.877  0.384  1.0
  O  O12  1  0.877  0.616  0.123  1.0
  O  O13  1  0.616  0.123  0.877  1.0
  O  O14  1  0.877  0.123  0.616  1.0
  O  O15  1  0.877  0.384  0.877  1.0
  O  O16  1  0.384  0.877  0.877  1.0
  O  O17  1  0.123  0.877  0.616  1.0
  O  O18  1  0.123  0.616  0.877  1.0
  O  O19  1  0.384  0.123  0.123  1.0
  O  O20  1  0.123  0.123  0.384  1.0
  O  O21  1  0.123  0.384  0.123  1.0
  O  O22  1  0.112  0.112  0.888  1.0
  O  O23  1  0.112  0.888  0.112  1.0
  O  O24  1  0.888  0.112  0.112  1.0
  O  O25  1  0.888  0.888  0.888  1.0
  O  O26  1  0.322  0.322  0.678  1.0
  O  O27  1  0.322  0.678  0.322  1.0
  O  O28  1  0.678  0.322  0.322  1.0
  O  O29  1  0.678  0.678  0.678  1.0
[/CIF]
.