The crystal structure described by KMg14Si crystallizes in the hexagonal P-6m2 space group. K(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form KMg12 cuboctahedra that share corners with six equivalent K(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(2)Mg10Si2 cuboctahedra, edges with six equivalent Mg(1)K2Mg10 cuboctahedra, faces with two equivalent Si(1)Mg12 cuboctahedra, faces with six equivalent Mg(1)K2Mg10 cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent K(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent Si(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(2)Mg10Si2 cuboctahedra, edges with two equivalent K(1)Mg12 cuboctahedra, edges with four equivalent Mg(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent K(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg10Si2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(1)K2Mg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four equivalent Mg(2); four Mg(3,3); and two equivalent Si(1) atoms to form distorted MgMg10Si2 cuboctahedra that share corners with four equivalent K(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg10Si2 cuboctahedra, corners with eight equivalent Mg(1)K2Mg10 cuboctahedra, edges with two equivalent Si(1)Mg12 cuboctahedra, edges with four equivalent Mg(2)Mg10Si2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Si(1)Mg12 cuboctahedra, and faces with four equivalent Mg(2)Mg10Si2 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to one K(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Si(1) atom. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to one K(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Si(1) atom. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with six equivalent Mg(1)K2Mg10 cuboctahedra, edges with six equivalent Mg(2)Mg10Si2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent K(1)Mg12 cuboctahedra, faces with three equivalent Mg(1)K2Mg10 cuboctahedra, faces with three equivalent Mg(2)Mg10Si2 cuboctahedra, and faces with three equivalent Si(1)Mg12 cuboctahedra. Si(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form SiMg12 cuboctahedra that share corners with six equivalent Si(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(1)K2Mg10 cuboctahedra, edges with six equivalent Mg(2)Mg10Si2 cuboctahedra, faces with two equivalent K(1)Mg12 cuboctahedra, faces with six equivalent Mg(2)Mg10Si2 cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_KMg14Si
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.401
_cell_length_b   6.401
_cell_length_c   10.743
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   381.245
_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  0.167  0.333  0.125  1.0
  Mg  Mg1  1  0.175  0.837  0.125  1.0
  Mg  Mg2  1  0.162  0.831  0.625  1.0
  Mg  Mg3  1  0.663  0.325  0.125  1.0
  Mg  Mg4  1  0.669  0.338  0.625  1.0
  Mg  Mg5  1  0.663  0.837  0.125  1.0
  Mg  Mg6  1  0.669  0.831  0.625  1.0
  Mg  Mg7  1  0.334  0.166  0.391  1.0
  Mg  Mg8  1  0.334  0.166  0.859  1.0
  Mg  Mg9  1  0.334  0.667  0.391  1.0
  Mg  Mg10  1  0.334  0.667  0.859  1.0
  Mg  Mg11  1  0.833  0.166  0.391  1.0
  Mg  Mg12  1  0.833  0.166  0.859  1.0
  Mg  Mg13  1  0.833  0.667  0.368  1.0
  Mg  Mg14  1  0.833  0.667  0.882  1.0
  Si  Si15  1  0.167  0.333  0.625  1.0
[/CIF]
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The crystal structure described by KMg14Si crystallizes in the hexagonal P-6m2 space group. K(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form KMg12 cuboctahedra that share corners with six equivalent K(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(2)Mg10Si2 cuboctahedra, edges with six equivalent Mg(1)K2Mg10 cuboctahedra, faces with two equivalent Si(1)Mg12 cuboctahedra, faces with six equivalent Mg(1)K2Mg10 cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent K(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent Si(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(2)Mg10Si2 cuboctahedra, edges with two equivalent K(1)Mg12 cuboctahedra, edges with four equivalent Mg(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent K(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg10Si2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(1)K2Mg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four equivalent Mg(2); four Mg(3,3); and two equivalent Si(1) atoms to form distorted MgMg10Si2 cuboctahedra that share corners with four equivalent K(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg10Si2 cuboctahedra, corners with eight equivalent Mg(1)K2Mg10 cuboctahedra, edges with two equivalent Si(1)Mg12 cuboctahedra, edges with four equivalent Mg(2)Mg10Si2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Si(1)Mg12 cuboctahedra, and faces with four equivalent Mg(2)Mg10Si2 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to one K(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Si(1) atom. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to one K(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Si(1) atom. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with six equivalent Mg(1)K2Mg10 cuboctahedra, edges with six equivalent Mg(2)Mg10Si2 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent K(1)Mg12 cuboctahedra, faces with three equivalent Mg(1)K2Mg10 cuboctahedra, faces with three equivalent Mg(2)Mg10Si2 cuboctahedra, and faces with three equivalent Si(1)Mg12 cuboctahedra. Si(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form SiMg12 cuboctahedra that share corners with six equivalent Si(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(1)K2Mg10 cuboctahedra, edges with six equivalent Mg(2)Mg10Si2 cuboctahedra, faces with two equivalent K(1)Mg12 cuboctahedra, faces with six equivalent Mg(2)Mg10Si2 cuboctahedra, and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_KMg14Si
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.401
_cell_length_b   6.401
_cell_length_c   10.743
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   381.245
_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  0.167  0.333  0.125  1.0
  Mg  Mg1  1  0.175  0.837  0.125  1.0
  Mg  Mg2  1  0.162  0.831  0.625  1.0
  Mg  Mg3  1  0.663  0.325  0.125  1.0
  Mg  Mg4  1  0.669  0.338  0.625  1.0
  Mg  Mg5  1  0.663  0.837  0.125  1.0
  Mg  Mg6  1  0.669  0.831  0.625  1.0
  Mg  Mg7  1  0.334  0.166  0.391  1.0
  Mg  Mg8  1  0.334  0.166  0.859  1.0
  Mg  Mg9  1  0.334  0.667  0.391  1.0
  Mg  Mg10  1  0.334  0.667  0.859  1.0
  Mg  Mg11  1  0.833  0.166  0.391  1.0
  Mg  Mg12  1  0.833  0.166  0.859  1.0
  Mg  Mg13  1  0.833  0.667  0.368  1.0
  Mg  Mg14  1  0.833  0.667  0.882  1.0
  Si  Si15  1  0.167  0.333  0.625  1.0
[/CIF]
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