The material structure described by K4Si23 crystallizes in the cubic Pm-3n space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 20-coordinate geometry to eight Si(2,2,2,2) and twelve Si(3,3,3,3) atoms. In the second K site, K(2) is bonded in a 12-coordinate geometry to four Si(1,1) and eight Si(3,3,3,3) atoms. There are ten inequivalent Si sites. In the first Si site, Si(3) is bonded in a 7-coordinate geometry to one K(1); two equivalent K(2); one Si(1); one Si(3); and two Si(2,2) atoms. In the second Si site, Si(3) is bonded in a 7-coordinate geometry to one K(1); two equivalent K(2); one Si(1); one Si(3); and two Si(2,2) atoms. In the third Si site, Si(1) is bonded to four equivalent K(2) and four Si(3,3) atoms to form distorted corner-sharing SiK4Si4 tetrahedra. In the fourth Si site, Si(1) is bonded in a distorted body-centered cubic geometry to four equivalent K(2) and four Si(3,3) atoms. In the fifth Si site, Si(2) is bonded in a 5-coordinate geometry to one K(1), one Si(2), and three equivalent Si(3) atoms. In the sixth Si site, Si(2) is bonded in a 5-coordinate geometry to one K(1); one Si(2); and three Si(3,3,3) atoms. In the seventh Si site, Si(2) is bonded in a 5-coordinate geometry to one K(1), one Si(2), and three equivalent Si(3) atoms. In the eighth Si site, Si(2) is bonded in a 5-coordinate geometry to one K(1); one Si(2); and three Si(3,3,3) atoms. In the ninth Si site, Si(3) is bonded in a 7-coordinate geometry to one K(1); two equivalent K(2); one Si(1); one Si(3); and two Si(2,2) atoms. In the tenth Si site, Si(3) is bonded in a 7-coordinate geometry to one K(1); two equivalent K(2); one Si(1); one Si(3); and two Si(2,2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_K4Si23
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.285
_cell_length_b   10.285
_cell_length_c   10.285
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   1088.114
_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  0.000  0.000  0.000  1.0
  K  K1  1  0.500  0.500  0.500  1.0
  K  K2  1  0.250  0.500  0.000  1.0
  K  K3  1  0.750  0.500  0.000  1.0
  K  K4  1  0.500  0.000  0.250  1.0
  K  K5  1  0.500  0.000  0.750  1.0
  K  K6  1  0.000  0.750  0.500  1.0
  K  K7  1  0.000  0.250  0.500  1.0
  Si  Si8  1  0.250  0.000  0.500  1.0
  Si  Si9  1  0.750  0.000  0.500  1.0
  Si  Si10  1  0.000  0.500  0.250  1.0
  Si  Si11  1  0.000  0.500  0.750  1.0
  Si  Si12  1  0.500  0.750  0.000  1.0
  Si  Si13  1  0.500  0.250  0.000  1.0
  Si  Si14  1  0.185  0.185  0.185  1.0
  Si  Si15  1  0.685  0.315  0.685  1.0
  Si  Si16  1  0.685  0.685  0.315  1.0
  Si  Si17  1  0.315  0.685  0.685  1.0
  Si  Si18  1  0.815  0.815  0.185  1.0
  Si  Si19  1  0.185  0.815  0.815  1.0
  Si  Si20  1  0.815  0.185  0.815  1.0
  Si  Si21  1  0.315  0.315  0.315  1.0
  Si  Si22  1  0.815  0.815  0.815  1.0
  Si  Si23  1  0.315  0.685  0.315  1.0
  Si  Si24  1  0.315  0.315  0.685  1.0
  Si  Si25  1  0.685  0.315  0.315  1.0
  Si  Si26  1  0.185  0.185  0.815  1.0
  Si  Si27  1  0.815  0.185  0.185  1.0
  Si  Si28  1  0.185  0.815  0.185  1.0
  Si  Si29  1  0.685  0.685  0.685  1.0
  Si  Si30  1  0.000  0.307  0.118  1.0
  Si  Si31  1  0.500  0.382  0.807  1.0
  Si  Si32  1  0.500  0.618  0.193  1.0
  Si  Si33  1  0.618  0.807  0.500  1.0
  Si  Si34  1  0.382  0.807  0.500  1.0
  Si  Si35  1  0.193  0.500  0.618  1.0
  Si  Si36  1  0.807  0.500  0.618  1.0
  Si  Si37  1  0.118  0.000  0.307  1.0
  Si  Si38  1  0.307  0.118  0.000  1.0
  Si  Si39  1  0.693  0.882  0.000  1.0
  Si  Si40  1  0.118  0.000  0.693  1.0
  Si  Si41  1  0.693  0.118  0.000  1.0
  Si  Si42  1  0.882  0.000  0.307  1.0
  Si  Si43  1  0.882  0.000  0.693  1.0
  Si  Si44  1  0.307  0.882  0.000  1.0
  Si  Si45  1  0.000  0.693  0.882  1.0
  Si  Si46  1  0.000  0.307  0.882  1.0
  Si  Si47  1  0.000  0.693  0.118  1.0
  Si  Si48  1  0.807  0.500  0.382  1.0
  Si  Si49  1  0.193  0.500  0.382  1.0
  Si  Si50  1  0.618  0.193  0.500  1.0
  Si  Si51  1  0.382  0.193  0.500  1.0
  Si  Si52  1  0.500  0.618  0.807  1.0
  Si  Si53  1  0.500  0.382  0.193  1.0
[/CIF]
.
The material structure described by K4Si23 crystallizes in the cubic Pm-3n space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 20-coordinate geometry to eight Si(2,2,2,2) and twelve Si(3,3,3,3) atoms. In the second K site, K(2) is bonded in a 12-coordinate geometry to four Si(1,1) and eight Si(3,3,3,3) atoms. There are ten inequivalent Si sites. In the first Si site, Si(3) is bonded in a 7-coordinate geometry to one K(1); two equivalent K(2); one Si(1); one Si(3); and two Si(2,2) atoms. In the second Si site, Si(3) is bonded in a 7-coordinate geometry to one K(1); two equivalent K(2); one Si(1); one Si(3); and two Si(2,2) atoms. In the third Si site, Si(1) is bonded to four equivalent K(2) and four Si(3,3) atoms to form distorted corner-sharing SiK4Si4 tetrahedra. In the fourth Si site, Si(1) is bonded in a distorted body-centered cubic geometry to four equivalent K(2) and four Si(3,3) atoms. In the fifth Si site, Si(2) is bonded in a 5-coordinate geometry to one K(1), one Si(2), and three equivalent Si(3) atoms. In the sixth Si site, Si(2) is bonded in a 5-coordinate geometry to one K(1); one Si(2); and three Si(3,3,3) atoms. In the seventh Si site, Si(2) is bonded in a 5-coordinate geometry to one K(1), one Si(2), and three equivalent Si(3) atoms. In the eighth Si site, Si(2) is bonded in a 5-coordinate geometry to one K(1); one Si(2); and three Si(3,3,3) atoms. In the ninth Si site, Si(3) is bonded in a 7-coordinate geometry to one K(1); two equivalent K(2); one Si(1); one Si(3); and two Si(2,2) atoms. In the tenth Si site, Si(3) is bonded in a 7-coordinate geometry to one K(1); two equivalent K(2); one Si(1); one Si(3); and two Si(2,2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_K4Si23
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.285
_cell_length_b   10.285
_cell_length_c   10.285
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   1088.114
_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  0.000  0.000  0.000  1.0
  K  K1  1  0.500  0.500  0.500  1.0
  K  K2  1  0.250  0.500  0.000  1.0
  K  K3  1  0.750  0.500  0.000  1.0
  K  K4  1  0.500  0.000  0.250  1.0
  K  K5  1  0.500  0.000  0.750  1.0
  K  K6  1  0.000  0.750  0.500  1.0
  K  K7  1  0.000  0.250  0.500  1.0
  Si  Si8  1  0.250  0.000  0.500  1.0
  Si  Si9  1  0.750  0.000  0.500  1.0
  Si  Si10  1  0.000  0.500  0.250  1.0
  Si  Si11  1  0.000  0.500  0.750  1.0
  Si  Si12  1  0.500  0.750  0.000  1.0
  Si  Si13  1  0.500  0.250  0.000  1.0
  Si  Si14  1  0.185  0.185  0.185  1.0
  Si  Si15  1  0.685  0.315  0.685  1.0
  Si  Si16  1  0.685  0.685  0.315  1.0
  Si  Si17  1  0.315  0.685  0.685  1.0
  Si  Si18  1  0.815  0.815  0.185  1.0
  Si  Si19  1  0.185  0.815  0.815  1.0
  Si  Si20  1  0.815  0.185  0.815  1.0
  Si  Si21  1  0.315  0.315  0.315  1.0
  Si  Si22  1  0.815  0.815  0.815  1.0
  Si  Si23  1  0.315  0.685  0.315  1.0
  Si  Si24  1  0.315  0.315  0.685  1.0
  Si  Si25  1  0.685  0.315  0.315  1.0
  Si  Si26  1  0.185  0.185  0.815  1.0
  Si  Si27  1  0.815  0.185  0.185  1.0
  Si  Si28  1  0.185  0.815  0.185  1.0
  Si  Si29  1  0.685  0.685  0.685  1.0
  Si  Si30  1  0.000  0.307  0.118  1.0
  Si  Si31  1  0.500  0.382  0.807  1.0
  Si  Si32  1  0.500  0.618  0.193  1.0
  Si  Si33  1  0.618  0.807  0.500  1.0
  Si  Si34  1  0.382  0.807  0.500  1.0
  Si  Si35  1  0.193  0.500  0.618  1.0
  Si  Si36  1  0.807  0.500  0.618  1.0
  Si  Si37  1  0.118  0.000  0.307  1.0
  Si  Si38  1  0.307  0.118  0.000  1.0
  Si  Si39  1  0.693  0.882  0.000  1.0
  Si  Si40  1  0.118  0.000  0.693  1.0
  Si  Si41  1  0.693  0.118  0.000  1.0
  Si  Si42  1  0.882  0.000  0.307  1.0
  Si  Si43  1  0.882  0.000  0.693  1.0
  Si  Si44  1  0.307  0.882  0.000  1.0
  Si  Si45  1  0.000  0.693  0.882  1.0
  Si  Si46  1  0.000  0.307  0.882  1.0
  Si  Si47  1  0.000  0.693  0.118  1.0
  Si  Si48  1  0.807  0.500  0.382  1.0
  Si  Si49  1  0.193  0.500  0.382  1.0
  Si  Si50  1  0.618  0.193  0.500  1.0
  Si  Si51  1  0.382  0.193  0.500  1.0
  Si  Si52  1  0.500  0.618  0.807  1.0
  Si  Si53  1  0.500  0.382  0.193  1.0
[/CIF]
.