The compound described by KMg14V crystallizes in the hexagonal P-6m2 space group. K(1) is bonded to six Mg(2,2,2) and six equivalent Mg(3) atoms to form KMg12 cuboctahedra that share corners with six equivalent K(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10V2 cuboctahedra; edges with six Mg(2,2,2)K2Mg10 cuboctahedra; edges with twelve equivalent Mg(3)KMg10V cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with six Mg(2,2,2)K2Mg10 cuboctahedra; faces with six equivalent Mg(3)KMg10V cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent K(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10V2 cuboctahedra; corners with eight Mg(2,2)K2Mg10 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10V cuboctahedra; faces with two equivalent Mg(2)K2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10V2 cuboctahedra; and faces with ten equivalent Mg(3)KMg10V cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent K(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)K2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10V2 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10V cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)K2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)KMg10V cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent K(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)K2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10V2 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10V cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)K2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)KMg10V cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent K(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)K2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10V2 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10V cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)K2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)KMg10V cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one K(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four equivalent Mg(3); and one V(1) atom to form distorted MgKMg10V cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)KMg10V cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(3)KMg10V cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra;  a faceface with one K(1)Mg12 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2,2)K2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six equivalent Mg(3)KMg10V cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2,2); and six equivalent Mg(3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve equivalent Mg(3)KMg10V cuboctahedra; edges with six Mg(2,2,2)K2Mg10 cuboctahedra; edges with six equivalent Mg(3)KMg10V cuboctahedra; edges with six equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent K(1)Mg12 cuboctahedra; faces with three Mg(2,2,2)K2Mg10 cuboctahedra; faces with three equivalent Mg(1)Mg10V2 cuboctahedra; faces with three equivalent V(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)KMg10V cuboctahedra. V(1) is bonded to six equivalent Mg(1) and six equivalent Mg(3) atoms to form VMg12 cuboctahedra that share corners with six equivalent V(1)Mg12 cuboctahedra; corners with twelve Mg(2,2,2)K2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10V2 cuboctahedra; edges with twelve equivalent Mg(3)KMg10V cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with six equivalent Mg(3)KMg10V cuboctahedra; faces with six equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_KMg14V
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.511
_cell_length_b   6.511
_cell_length_c   10.387
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   381.384
_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  0.625  1.0
  Mg  Mg1  1  0.164  0.832  0.125  1.0
  Mg  Mg2  1  0.175  0.837  0.625  1.0
  Mg  Mg3  1  0.668  0.336  0.125  1.0
  Mg  Mg4  1  0.663  0.325  0.625  1.0
  Mg  Mg5  1  0.668  0.832  0.125  1.0
  Mg  Mg6  1  0.663  0.837  0.625  1.0
  Mg  Mg7  1  0.334  0.166  0.358  1.0
  Mg  Mg8  1  0.334  0.166  0.892  1.0
  Mg  Mg9  1  0.334  0.668  0.358  1.0
  Mg  Mg10  1  0.334  0.668  0.892  1.0
  Mg  Mg11  1  0.832  0.166  0.358  1.0
  Mg  Mg12  1  0.832  0.166  0.892  1.0
  Mg  Mg13  1  0.833  0.667  0.380  1.0
  Mg  Mg14  1  0.833  0.667  0.870  1.0
  V  V15  1  0.167  0.333  0.125  1.0
[/CIF]
.
The compound described by KMg14V crystallizes in the hexagonal P-6m2 space group. K(1) is bonded to six Mg(2,2,2) and six equivalent Mg(3) atoms to form KMg12 cuboctahedra that share corners with six equivalent K(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10V2 cuboctahedra; edges with six Mg(2,2,2)K2Mg10 cuboctahedra; edges with twelve equivalent Mg(3)KMg10V cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with six Mg(2,2,2)K2Mg10 cuboctahedra; faces with six equivalent Mg(3)KMg10V cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent K(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10V2 cuboctahedra; corners with eight Mg(2,2)K2Mg10 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10V cuboctahedra; faces with two equivalent Mg(2)K2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10V2 cuboctahedra; and faces with ten equivalent Mg(3)KMg10V cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent K(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)K2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10V2 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10V cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)K2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)KMg10V cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent K(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)K2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10V2 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10V cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)K2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)KMg10V cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent K(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent V(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)K2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10V2 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10V cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)K2Mg10 cuboctahedra; and faces with ten equivalent Mg(3)KMg10V cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one K(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four equivalent Mg(3); and one V(1) atom to form distorted MgKMg10V cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen equivalent Mg(3)KMg10V cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(3)KMg10V cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra;  a faceface with one K(1)Mg12 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2,2)K2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six equivalent Mg(3)KMg10V cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2,2); and six equivalent Mg(3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve equivalent Mg(3)KMg10V cuboctahedra; edges with six Mg(2,2,2)K2Mg10 cuboctahedra; edges with six equivalent Mg(3)KMg10V cuboctahedra; edges with six equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent K(1)Mg12 cuboctahedra; faces with three Mg(2,2,2)K2Mg10 cuboctahedra; faces with three equivalent Mg(1)Mg10V2 cuboctahedra; faces with three equivalent V(1)Mg12 cuboctahedra; and faces with six equivalent Mg(3)KMg10V cuboctahedra. V(1) is bonded to six equivalent Mg(1) and six equivalent Mg(3) atoms to form VMg12 cuboctahedra that share corners with six equivalent V(1)Mg12 cuboctahedra; corners with twelve Mg(2,2,2)K2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10V2 cuboctahedra; edges with twelve equivalent Mg(3)KMg10V cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with six equivalent Mg(3)KMg10V cuboctahedra; faces with six equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_KMg14V
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.511
_cell_length_b   6.511
_cell_length_c   10.387
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   381.384
_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  0.625  1.0
  Mg  Mg1  1  0.164  0.832  0.125  1.0
  Mg  Mg2  1  0.175  0.837  0.625  1.0
  Mg  Mg3  1  0.668  0.336  0.125  1.0
  Mg  Mg4  1  0.663  0.325  0.625  1.0
  Mg  Mg5  1  0.668  0.832  0.125  1.0
  Mg  Mg6  1  0.663  0.837  0.625  1.0
  Mg  Mg7  1  0.334  0.166  0.358  1.0
  Mg  Mg8  1  0.334  0.166  0.892  1.0
  Mg  Mg9  1  0.334  0.668  0.358  1.0
  Mg  Mg10  1  0.334  0.668  0.892  1.0
  Mg  Mg11  1  0.832  0.166  0.358  1.0
  Mg  Mg12  1  0.832  0.166  0.892  1.0
  Mg  Mg13  1  0.833  0.667  0.380  1.0
  Mg  Mg14  1  0.833  0.667  0.870  1.0
  V  V15  1  0.167  0.333  0.125  1.0
[/CIF]
.