The compound described by K2Na2BaTi4Si8(WO7)4 crystallizes in the monoclinic Cm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 5-coordinate geometry to one O(10), one O(3), one O(9), and two equivalent O(4) atoms. In the second K site, K(2) is bonded in a 7-coordinate geometry to one O(10), one O(2), one O(3), two equivalent O(15), and two equivalent O(5) atoms. Na(1) is bonded in a 6-coordinate geometry to one W(1), one O(1), one O(12), one O(14), one O(5), and one O(7) atom. Ba(1) is bonded in a 7-coordinate geometry to one O(9), two equivalent O(13), two equivalent O(16), and two equivalent O(4) atoms. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(12), one O(13), one O(16), one O(6), one O(7), and one O(8) atom to form TiO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra, and  a cornercorner with one Si(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 40-53°. In the second Ti site, Ti(2) is bonded to one O(11), one O(13), one O(15), one O(4), one O(5), and one O(6) atom to form TiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra, and  a cornercorner with one Si(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 40-53°. There are two inequivalent W sites. In the first W site, W(1) is bonded in a 5-coordinate geometry to one Na(1), one O(11), one O(13), one O(14), and one O(8) atom. In the second W site, W(2) is bonded in a 3-coordinate geometry to one O(15), one O(6), and one O(7) atom. There are four inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(14), one O(16), one O(2), and one O(5) atom to form SiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra, and  a cornercorner with one Si(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-55°. In the second Si site, Si(2) is bonded to one O(1), one O(3), one O(4), and one O(8) atom to form SiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Si(2)O4 tetrahedra, and  a cornercorner with one Si(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-54°. In the third Si site, Si(3) is bonded to one O(10), one O(12), one O(14), and one O(15) atom to form SiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra, and  a cornercorner with one Si(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 37-57°. In the fourth Si site, Si(4) is bonded to one O(1), one O(11), one O(7), and one O(9) atom to form SiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Si(2)O4 tetrahedra, and  a cornercorner with one Si(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-56°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Na(1), one Si(2), and one Si(4) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one K(2) and two equivalent Si(1) atoms. In the third O site, O(3) is bonded in a distorted bent 120 degrees geometry to one K(1), one K(2), and two equivalent Si(2) atoms. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one K(1), one Ba(1), one Ti(2), and one Si(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one K(2), one Na(1), one Ti(2), and one Si(1) atom. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1), one Ti(2), and one W(2) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Ti(1), one W(2), and one Si(4) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Ti(1), one W(1), and one Si(2) atom. In the ninth O site, O(9) is bonded in a distorted bent 120 degrees geometry to one K(1), one Ba(1), and two equivalent Si(4) atoms. In the tenth O site, O(10) is bonded in a distorted bent 150 degrees geometry to one K(1), one K(2), and two equivalent Si(3) atoms. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Ti(2), one W(1), and one Si(4) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Na(1), one Ti(1), and one Si(3) atom. In the thirteenth O site, O(13) is bonded in a distorted bent 120 degrees geometry to one Ba(1), one Ti(1), one Ti(2), and one W(1) atom. In the fourteenth O site, O(14) is bonded in a distorted bent 150 degrees geometry to one Na(1), one W(1), one Si(1), and one Si(3) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one K(2), one Ti(2), one W(2), and one Si(3) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Ba(1), one Ti(1), and one Si(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K2BaNa2Ti4Si8(WO7)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.123
_cell_length_b   10.123
_cell_length_c   8.058
_cell_angle_alpha   70.286
_cell_angle_beta   70.286
_cell_angle_gamma   90.072
_symmetry_Int_Tables_number   1
_cell_volume   725.603
_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  0.209  0.209  0.967  1.0
  K  K1  1  0.018  0.018  0.620  1.0
  Ba  Ba2  1  0.560  0.560  0.577  1.0
  Na  Na3  1  0.756  0.255  0.253  1.0
  Na  Na4  1  0.255  0.756  0.253  1.0
  Ti  Ti5  1  0.859  0.395  0.771  1.0
  Ti  Ti6  1  0.395  0.859  0.771  1.0
  Ti  Ti7  1  0.140  0.627  0.769  1.0
  Ti  Ti8  1  0.627  0.140  0.769  1.0
  Si  Si9  1  0.945  0.728  0.489  1.0
  Si  Si10  1  0.728  0.945  0.489  1.0
  Si  Si11  1  0.202  0.410  0.536  1.0
  Si  Si12  1  0.410  0.202  0.536  1.0
  Si  Si13  1  0.048  0.827  0.039  1.0
  Si  Si14  1  0.827  0.048  0.039  1.0
  Si  Si15  1  0.316  0.529  0.089  1.0
  Si  Si16  1  0.529  0.316  0.089  1.0
  W  W17  1  0.948  0.437  0.326  1.0
  W  W18  1  0.437  0.948  0.326  1.0
  W  W19  1  0.805  0.589  0.025  1.0
  W  W20  1  0.589  0.805  0.025  1.0
  O  O21  1  0.292  0.502  0.312  1.0
  O  O22  1  0.502  0.292  0.312  1.0
  O  O23  1  0.876  0.876  0.486  1.0
  O  O24  1  0.246  0.246  0.583  1.0
  O  O25  1  0.245  0.481  0.666  1.0
  O  O26  1  0.481  0.245  0.666  1.0
  O  O27  1  0.084  0.734  0.544  1.0
  O  O28  1  0.734  0.084  0.544  1.0
  O  O29  1  0.966  0.498  0.862  1.0
  O  O30  1  0.498  0.966  0.862  1.0
  O  O31  1  0.683  0.417  0.983  1.0
  O  O32  1  0.417  0.683  0.983  1.0
  O  O33  1  0.037  0.395  0.557  1.0
  O  O34  1  0.395  0.037  0.557  1.0
  O  O35  1  0.407  0.407  0.023  1.0
  O  O36  1  0.974  0.974  0.016  1.0
  O  O37  1  0.165  0.523  0.058  1.0
  O  O38  1  0.523  0.165  0.058  1.0
  O  O39  1  0.878  0.217  0.951  1.0
  O  O40  1  0.217  0.878  0.951  1.0
  O  O41  1  0.757  0.318  0.651  1.0
  O  O42  1  0.318  0.757  0.651  1.0
  O  O43  1  0.008  0.735  0.265  1.0
  O  O44  1  0.735  0.008  0.265  1.0
  O  O45  1  0.998  0.739  0.930  1.0
  O  O46  1  0.739  0.998  0.930  1.0
  O  O47  1  0.827  0.589  0.602  1.0
  O  O48  1  0.589  0.827  0.602  1.0
[/CIF]
.
The compound described by K2Na2BaTi4Si8(WO7)4 crystallizes in the monoclinic Cm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 5-coordinate geometry to one O(10), one O(3), one O(9), and two equivalent O(4) atoms. In the second K site, K(2) is bonded in a 7-coordinate geometry to one O(10), one O(2), one O(3), two equivalent O(15), and two equivalent O(5) atoms. Na(1) is bonded in a 6-coordinate geometry to one W(1), one O(1), one O(12), one O(14), one O(5), and one O(7) atom. Ba(1) is bonded in a 7-coordinate geometry to one O(9), two equivalent O(13), two equivalent O(16), and two equivalent O(4) atoms. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(12), one O(13), one O(16), one O(6), one O(7), and one O(8) atom to form TiO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra, and  a cornercorner with one Si(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 40-53°. In the second Ti site, Ti(2) is bonded to one O(11), one O(13), one O(15), one O(4), one O(5), and one O(6) atom to form TiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra,  a cornercorner with one Si(2)O4 tetrahedra,  a cornercorner with one Si(3)O4 tetrahedra, and  a cornercorner with one Si(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 40-53°. There are two inequivalent W sites. In the first W site, W(1) is bonded in a 5-coordinate geometry to one Na(1), one O(11), one O(13), one O(14), and one O(8) atom. In the second W site, W(2) is bonded in a 3-coordinate geometry to one O(15), one O(6), and one O(7) atom. There are four inequivalent Si sites. In the first Si site, Si(1) is bonded to one O(14), one O(16), one O(2), and one O(5) atom to form SiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra, and  a cornercorner with one Si(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-55°. In the second Si site, Si(2) is bonded to one O(1), one O(3), one O(4), and one O(8) atom to form SiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Si(2)O4 tetrahedra, and  a cornercorner with one Si(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-54°. In the third Si site, Si(3) is bonded to one O(10), one O(12), one O(14), and one O(15) atom to form SiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Si(1)O4 tetrahedra, and  a cornercorner with one Si(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 37-57°. In the fourth Si site, Si(4) is bonded to one O(1), one O(11), one O(7), and one O(9) atom to form SiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Si(2)O4 tetrahedra, and  a cornercorner with one Si(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-56°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Na(1), one Si(2), and one Si(4) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one K(2) and two equivalent Si(1) atoms. In the third O site, O(3) is bonded in a distorted bent 120 degrees geometry to one K(1), one K(2), and two equivalent Si(2) atoms. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one K(1), one Ba(1), one Ti(2), and one Si(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one K(2), one Na(1), one Ti(2), and one Si(1) atom. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1), one Ti(2), and one W(2) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Ti(1), one W(2), and one Si(4) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Ti(1), one W(1), and one Si(2) atom. In the ninth O site, O(9) is bonded in a distorted bent 120 degrees geometry to one K(1), one Ba(1), and two equivalent Si(4) atoms. In the tenth O site, O(10) is bonded in a distorted bent 150 degrees geometry to one K(1), one K(2), and two equivalent Si(3) atoms. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Ti(2), one W(1), and one Si(4) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Na(1), one Ti(1), and one Si(3) atom. In the thirteenth O site, O(13) is bonded in a distorted bent 120 degrees geometry to one Ba(1), one Ti(1), one Ti(2), and one W(1) atom. In the fourteenth O site, O(14) is bonded in a distorted bent 150 degrees geometry to one Na(1), one W(1), one Si(1), and one Si(3) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one K(2), one Ti(2), one W(2), and one Si(3) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Ba(1), one Ti(1), and one Si(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K2BaNa2Ti4Si8(WO7)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.123
_cell_length_b   10.123
_cell_length_c   8.058
_cell_angle_alpha   70.286
_cell_angle_beta   70.286
_cell_angle_gamma   90.072
_symmetry_Int_Tables_number   1
_cell_volume   725.603
_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  0.209  0.209  0.967  1.0
  K  K1  1  0.018  0.018  0.620  1.0
  Ba  Ba2  1  0.560  0.560  0.577  1.0
  Na  Na3  1  0.756  0.255  0.253  1.0
  Na  Na4  1  0.255  0.756  0.253  1.0
  Ti  Ti5  1  0.859  0.395  0.771  1.0
  Ti  Ti6  1  0.395  0.859  0.771  1.0
  Ti  Ti7  1  0.140  0.627  0.769  1.0
  Ti  Ti8  1  0.627  0.140  0.769  1.0
  Si  Si9  1  0.945  0.728  0.489  1.0
  Si  Si10  1  0.728  0.945  0.489  1.0
  Si  Si11  1  0.202  0.410  0.536  1.0
  Si  Si12  1  0.410  0.202  0.536  1.0
  Si  Si13  1  0.048  0.827  0.039  1.0
  Si  Si14  1  0.827  0.048  0.039  1.0
  Si  Si15  1  0.316  0.529  0.089  1.0
  Si  Si16  1  0.529  0.316  0.089  1.0
  W  W17  1  0.948  0.437  0.326  1.0
  W  W18  1  0.437  0.948  0.326  1.0
  W  W19  1  0.805  0.589  0.025  1.0
  W  W20  1  0.589  0.805  0.025  1.0
  O  O21  1  0.292  0.502  0.312  1.0
  O  O22  1  0.502  0.292  0.312  1.0
  O  O23  1  0.876  0.876  0.486  1.0
  O  O24  1  0.246  0.246  0.583  1.0
  O  O25  1  0.245  0.481  0.666  1.0
  O  O26  1  0.481  0.245  0.666  1.0
  O  O27  1  0.084  0.734  0.544  1.0
  O  O28  1  0.734  0.084  0.544  1.0
  O  O29  1  0.966  0.498  0.862  1.0
  O  O30  1  0.498  0.966  0.862  1.0
  O  O31  1  0.683  0.417  0.983  1.0
  O  O32  1  0.417  0.683  0.983  1.0
  O  O33  1  0.037  0.395  0.557  1.0
  O  O34  1  0.395  0.037  0.557  1.0
  O  O35  1  0.407  0.407  0.023  1.0
  O  O36  1  0.974  0.974  0.016  1.0
  O  O37  1  0.165  0.523  0.058  1.0
  O  O38  1  0.523  0.165  0.058  1.0
  O  O39  1  0.878  0.217  0.951  1.0
  O  O40  1  0.217  0.878  0.951  1.0
  O  O41  1  0.757  0.318  0.651  1.0
  O  O42  1  0.318  0.757  0.651  1.0
  O  O43  1  0.008  0.735  0.265  1.0
  O  O44  1  0.735  0.008  0.265  1.0
  O  O45  1  0.998  0.739  0.930  1.0
  O  O46  1  0.739  0.998  0.930  1.0
  O  O47  1  0.827  0.589  0.602  1.0
  O  O48  1  0.589  0.827  0.602  1.0
[/CIF]
.