The structure described by K2SrTi10O22 crystallizes in the monoclinic Cm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 6-coordinate geometry to two equivalent O(10), two equivalent O(17), and two equivalent O(18) atoms. In the second K site, K(2) is bonded in a 8-coordinate geometry to two equivalent O(11), two equivalent O(13), two equivalent O(15), and two equivalent O(6) atoms. Sr(1) is bonded in a 8-coordinate geometry to two equivalent O(12), two equivalent O(14), two equivalent O(16), and two equivalent O(5) atoms. There are ten inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(13), one O(15), one O(17), one O(3), and two equivalent O(8) atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 3-24°. In the second Ti site, Ti(2) is bonded to one O(14), one O(16), one O(18), one O(4), and two equivalent O(7) atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 17-25°. In the third Ti site, Ti(3) is bonded in a 6-coordinate geometry to one O(17), one O(3), one O(7), one O(9), and two equivalent O(4) atoms. In the fourth Ti site, Ti(4) is bonded in a 6-coordinate geometry to one O(10), one O(18), one O(4), one O(8), and two equivalent O(3) atoms. In the fifth Ti site, Ti(5) is bonded to one O(1), one O(11), one O(19), one O(5), and two equivalent O(2) atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 33°. In the sixth Ti site, Ti(6) is bonded to one O(12), one O(2), one O(20), one O(6), and two equivalent O(1) atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 31°. In the seventh Ti site, Ti(7) is bonded to one O(16), one O(19), one O(5), one O(9), and two equivalent O(22) atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 18-26°. In the eighth Ti site, Ti(8) is bonded to one O(10), one O(15), one O(20), one O(6), and two equivalent O(21) atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 3-25°. In the ninth Ti site, Ti(9) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(13), one O(21), and two equivalent O(20) atoms. In the tenth Ti site, Ti(10) is bonded to one O(12), one O(14), one O(2), one O(22), and two equivalent O(19) atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 17-28°. There are twenty-two inequivalent O sites. In the first O site, O(1) is bonded to one Ti(5), one Ti(9), and two equivalent Ti(6) atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the second O site, O(2) is bonded to one Ti(10), one Ti(6), and two equivalent Ti(5) atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Ti(1), one Ti(3), and two equivalent Ti(4) atoms. In the fourth O site, O(4) is bonded to one Ti(2), one Ti(4), and two equivalent Ti(3) atoms to form distorted OTi4 trigonal pyramids that share corners with two equivalent O(17)K2Ti2 tetrahedra and corners with two equivalent O(4)Ti4 trigonal pyramids. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Sr(1), one Ti(5), and one Ti(7) atom. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to two equivalent K(2), one Ti(6), and one Ti(8) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Ti(3) and two equivalent Ti(2) atoms. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Ti(4) and two equivalent Ti(1) atoms. In the ninth O site, O(9) is bonded in a linear geometry to one Ti(3) and one Ti(7) atom. In the tenth O site, O(10) is bonded in a distorted linear geometry to two equivalent K(1), one Ti(4), and one Ti(8) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to two equivalent K(2), one Ti(5), and one Ti(9) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Sr(1), one Ti(10), and one Ti(6) atom. In the thirteenth O site, O(13) is bonded in a distorted linear geometry to two equivalent K(2), one Ti(1), and one Ti(9) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to two equivalent Sr(1), one Ti(10), and one Ti(2) atom. In the fifteenth O site, O(15) is bonded in a linear geometry to two equivalent K(2), one Ti(1), and one Ti(8) atom. In the sixteenth O site, O(16) is bonded in a distorted bent 150 degrees geometry to two equivalent Sr(1), one Ti(2), and one Ti(7) atom. In the seventeenth O site, O(17) is bonded to two equivalent K(1), one Ti(1), and one Ti(3) atom to form distorted OK2Ti2 tetrahedra that share corners with two equivalent O(17)K2Ti2 tetrahedra and corners with two equivalent O(4)Ti4 trigonal pyramids. In the eighteenth O site, O(18) is bonded in a distorted rectangular see-saw-like geometry to two equivalent K(1), one Ti(2), and one Ti(4) atom. In the nineteenth O site, O(19) is bonded to one Ti(5), one Ti(7), and two equivalent Ti(10) atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twentieth O site, O(20) is bonded to one Ti(6), one Ti(8), and two equivalent Ti(9) atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-first O site, O(21) is bonded in a distorted T-shaped geometry to one Ti(9) and two equivalent Ti(8) atoms. In the twenty-second O site, O(22) is bonded in a 3-coordinate geometry to one Ti(10) and two equivalent Ti(7) atoms. is represented by the CIF card [CIF]
data_K2SrTi10O22
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.006
_cell_length_b   8.006
_cell_length_c   15.701
_cell_angle_alpha   77.334
_cell_angle_beta   77.334
_cell_angle_gamma   27.564
_symmetry_Int_Tables_number   1
_cell_volume   453.602
_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  0.516  0.516  0.454  1.0
  K  K1  1  0.443  0.443  0.159  1.0
  Sr  Sr2  1  0.557  0.557  0.837  1.0
  Ti  Ti3  1  0.861  0.861  0.358  1.0
  Ti  Ti4  1  0.138  0.138  0.635  1.0
  Ti  Ti5  1  0.799  0.799  0.565  1.0
  Ti  Ti6  1  0.204  0.204  0.433  1.0
  Ti  Ti7  1  0.835  0.835  0.962  1.0
  Ti  Ti8  1  0.166  0.166  0.037  1.0
  Ti  Ti9  1  0.902  0.902  0.752  1.0
  Ti  Ti10  1  0.098  0.098  0.242  1.0
  Ti  Ti11  1  0.756  0.756  0.164  1.0
  Ti  Ti12  1  0.245  0.245  0.837  1.0
  O  O13  1  0.699  0.699  0.040  1.0
  O  O14  1  0.301  0.301  0.957  1.0
  O  O15  1  0.732  0.732  0.442  1.0
  O  O16  1  0.266  0.266  0.559  1.0
  O  O17  1  0.939  0.939  0.881  1.0
  O  O18  1  0.067  0.067  0.123  1.0
  O  O19  1  0.665  0.665  0.637  1.0
  O  O20  1  0.335  0.335  0.366  1.0
  O  O21  1  0.858  0.858  0.651  1.0
  O  O22  1  0.142  0.142  0.350  1.0
  O  O23  1  0.862  0.862  0.070  1.0
  O  O24  1  0.134  0.134  0.929  1.0
  O  O25  1  0.814  0.814  0.249  1.0
  O  O26  1  0.180  0.180  0.757  1.0
  O  O27  1  0.980  0.980  0.296  1.0
  O  O28  1  0.023  0.023  0.712  1.0
  O  O29  1  0.893  0.893  0.470  1.0
  O  O30  1  0.105  0.105  0.529  1.0
  O  O31  1  0.773  0.773  0.845  1.0
  O  O32  1  0.228  0.228  0.153  1.0
  O  O33  1  0.625  0.625  0.230  1.0
  O  O34  1  0.377  0.377  0.772  1.0
[/CIF]
.
The structure described by K2SrTi10O22 crystallizes in the monoclinic Cm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 6-coordinate geometry to two equivalent O(10), two equivalent O(17), and two equivalent O(18) atoms. In the second K site, K(2) is bonded in a 8-coordinate geometry to two equivalent O(11), two equivalent O(13), two equivalent O(15), and two equivalent O(6) atoms. Sr(1) is bonded in a 8-coordinate geometry to two equivalent O(12), two equivalent O(14), two equivalent O(16), and two equivalent O(5) atoms. There are ten inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(13), one O(15), one O(17), one O(3), and two equivalent O(8) atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 3-24°. In the second Ti site, Ti(2) is bonded to one O(14), one O(16), one O(18), one O(4), and two equivalent O(7) atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 17-25°. In the third Ti site, Ti(3) is bonded in a 6-coordinate geometry to one O(17), one O(3), one O(7), one O(9), and two equivalent O(4) atoms. In the fourth Ti site, Ti(4) is bonded in a 6-coordinate geometry to one O(10), one O(18), one O(4), one O(8), and two equivalent O(3) atoms. In the fifth Ti site, Ti(5) is bonded to one O(1), one O(11), one O(19), one O(5), and two equivalent O(2) atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 33°. In the sixth Ti site, Ti(6) is bonded to one O(12), one O(2), one O(20), one O(6), and two equivalent O(1) atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 31°. In the seventh Ti site, Ti(7) is bonded to one O(16), one O(19), one O(5), one O(9), and two equivalent O(22) atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 18-26°. In the eighth Ti site, Ti(8) is bonded to one O(10), one O(15), one O(20), one O(6), and two equivalent O(21) atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 3-25°. In the ninth Ti site, Ti(9) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(13), one O(21), and two equivalent O(20) atoms. In the tenth Ti site, Ti(10) is bonded to one O(12), one O(14), one O(2), one O(22), and two equivalent O(19) atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 17-28°. There are twenty-two inequivalent O sites. In the first O site, O(1) is bonded to one Ti(5), one Ti(9), and two equivalent Ti(6) atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the second O site, O(2) is bonded to one Ti(10), one Ti(6), and two equivalent Ti(5) atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Ti(1), one Ti(3), and two equivalent Ti(4) atoms. In the fourth O site, O(4) is bonded to one Ti(2), one Ti(4), and two equivalent Ti(3) atoms to form distorted OTi4 trigonal pyramids that share corners with two equivalent O(17)K2Ti2 tetrahedra and corners with two equivalent O(4)Ti4 trigonal pyramids. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Sr(1), one Ti(5), and one Ti(7) atom. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to two equivalent K(2), one Ti(6), and one Ti(8) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Ti(3) and two equivalent Ti(2) atoms. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Ti(4) and two equivalent Ti(1) atoms. In the ninth O site, O(9) is bonded in a linear geometry to one Ti(3) and one Ti(7) atom. In the tenth O site, O(10) is bonded in a distorted linear geometry to two equivalent K(1), one Ti(4), and one Ti(8) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to two equivalent K(2), one Ti(5), and one Ti(9) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Sr(1), one Ti(10), and one Ti(6) atom. In the thirteenth O site, O(13) is bonded in a distorted linear geometry to two equivalent K(2), one Ti(1), and one Ti(9) atom. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to two equivalent Sr(1), one Ti(10), and one Ti(2) atom. In the fifteenth O site, O(15) is bonded in a linear geometry to two equivalent K(2), one Ti(1), and one Ti(8) atom. In the sixteenth O site, O(16) is bonded in a distorted bent 150 degrees geometry to two equivalent Sr(1), one Ti(2), and one Ti(7) atom. In the seventeenth O site, O(17) is bonded to two equivalent K(1), one Ti(1), and one Ti(3) atom to form distorted OK2Ti2 tetrahedra that share corners with two equivalent O(17)K2Ti2 tetrahedra and corners with two equivalent O(4)Ti4 trigonal pyramids. In the eighteenth O site, O(18) is bonded in a distorted rectangular see-saw-like geometry to two equivalent K(1), one Ti(2), and one Ti(4) atom. In the nineteenth O site, O(19) is bonded to one Ti(5), one Ti(7), and two equivalent Ti(10) atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twentieth O site, O(20) is bonded to one Ti(6), one Ti(8), and two equivalent Ti(9) atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-first O site, O(21) is bonded in a distorted T-shaped geometry to one Ti(9) and two equivalent Ti(8) atoms. In the twenty-second O site, O(22) is bonded in a 3-coordinate geometry to one Ti(10) and two equivalent Ti(7) atoms. is represented by the CIF card [CIF]
data_K2SrTi10O22
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.006
_cell_length_b   8.006
_cell_length_c   15.701
_cell_angle_alpha   77.334
_cell_angle_beta   77.334
_cell_angle_gamma   27.564
_symmetry_Int_Tables_number   1
_cell_volume   453.602
_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  0.516  0.516  0.454  1.0
  K  K1  1  0.443  0.443  0.159  1.0
  Sr  Sr2  1  0.557  0.557  0.837  1.0
  Ti  Ti3  1  0.861  0.861  0.358  1.0
  Ti  Ti4  1  0.138  0.138  0.635  1.0
  Ti  Ti5  1  0.799  0.799  0.565  1.0
  Ti  Ti6  1  0.204  0.204  0.433  1.0
  Ti  Ti7  1  0.835  0.835  0.962  1.0
  Ti  Ti8  1  0.166  0.166  0.037  1.0
  Ti  Ti9  1  0.902  0.902  0.752  1.0
  Ti  Ti10  1  0.098  0.098  0.242  1.0
  Ti  Ti11  1  0.756  0.756  0.164  1.0
  Ti  Ti12  1  0.245  0.245  0.837  1.0
  O  O13  1  0.699  0.699  0.040  1.0
  O  O14  1  0.301  0.301  0.957  1.0
  O  O15  1  0.732  0.732  0.442  1.0
  O  O16  1  0.266  0.266  0.559  1.0
  O  O17  1  0.939  0.939  0.881  1.0
  O  O18  1  0.067  0.067  0.123  1.0
  O  O19  1  0.665  0.665  0.637  1.0
  O  O20  1  0.335  0.335  0.366  1.0
  O  O21  1  0.858  0.858  0.651  1.0
  O  O22  1  0.142  0.142  0.350  1.0
  O  O23  1  0.862  0.862  0.070  1.0
  O  O24  1  0.134  0.134  0.929  1.0
  O  O25  1  0.814  0.814  0.249  1.0
  O  O26  1  0.180  0.180  0.757  1.0
  O  O27  1  0.980  0.980  0.296  1.0
  O  O28  1  0.023  0.023  0.712  1.0
  O  O29  1  0.893  0.893  0.470  1.0
  O  O30  1  0.105  0.105  0.529  1.0
  O  O31  1  0.773  0.773  0.845  1.0
  O  O32  1  0.228  0.228  0.153  1.0
  O  O33  1  0.625  0.625  0.230  1.0
  O  O34  1  0.377  0.377  0.772  1.0
[/CIF]
.