The material described by KMg14Fe crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Fe(1) atoms to form KMg10Fe2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent K(1)Mg10Fe2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Fe(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Fe2 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Fe(1)K2Mg10 cuboctahedra, and faces with four equivalent Mg(3)K2Mg8Fe2 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Mg10Fe2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)K2Mg8Fe2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Fe(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)KMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Fe(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)K2Mg8Fe2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent K(1)Mg10Fe2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent K(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Fe(1) atoms to form distorted MgK2Mg8Fe2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)K2Mg8Fe2 cuboctahedra, edges with two equivalent K(1)Mg10Fe2 cuboctahedra, edges with two equivalent Mg(3)K2Mg8Fe2 cuboctahedra, edges with two equivalent Fe(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent K(1)Mg10Fe2 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Fe2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with two equivalent Fe(1)K2Mg10 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Mg10Fe2 cuboctahedra, corners with four equivalent Mg(3)K2Mg8Fe2 cuboctahedra, corners with four equivalent Fe(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Fe2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with two equivalent Mg(4)Mg12 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one K(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Fe(1) atom. In the sixth Mg site, Mg(6) is bonded in a distorted single-bond geometry to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Fe(1) atom. In the seventh Mg site, Mg(7) is bonded to one K(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgKMg11 cuboctahedra that share corners with six equivalent Mg(7)KMg11 cuboctahedra, edges with two equivalent K(1)Mg10Fe2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Fe2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one K(1)Mg10Fe2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Fe2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with three equivalent Fe(1)K2Mg10 cuboctahedra. Fe(1) is bonded to two equivalent K(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form FeK2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Fe(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent K(1)Mg10Fe2 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Fe2 cuboctahedra, faces with two equivalent K(1)Mg10Fe2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(3)K2Mg8Fe2 cuboctahedra, and faces with six equivalent Mg(7)KMg11 cuboctahedra. is represented by the CIF file [CIF]
data_KMg14Fe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.458
_cell_length_b   6.483
_cell_length_c   10.340
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.129
_symmetry_Int_Tables_number   1
_cell_volume   374.451
_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  0.165  0.833  0.125  1.0
  Mg  Mg1  1  0.165  0.333  0.625  1.0
  Mg  Mg2  1  0.169  0.834  0.625  1.0
  Mg  Mg3  1  0.662  0.337  0.125  1.0
  Mg  Mg4  1  0.666  0.330  0.625  1.0
  Mg  Mg5  1  0.662  0.824  0.125  1.0
  Mg  Mg6  1  0.666  0.836  0.625  1.0
  Mg  Mg7  1  0.333  0.180  0.379  1.0
  Mg  Mg8  1  0.333  0.180  0.871  1.0
  Mg  Mg9  1  0.333  0.654  0.379  1.0
  Mg  Mg10  1  0.333  0.654  0.871  1.0
  Mg  Mg11  1  0.842  0.171  0.363  1.0
  Mg  Mg12  1  0.842  0.171  0.887  1.0
  Mg  Mg13  1  0.823  0.662  0.389  1.0
  Mg  Mg14  1  0.823  0.662  0.861  1.0
  Fe  Fe15  1  0.182  0.341  0.125  1.0
[/CIF]
.
The material described by KMg14Fe crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Fe(1) atoms to form KMg10Fe2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent K(1)Mg10Fe2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Fe(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Fe2 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Fe(1)K2Mg10 cuboctahedra, and faces with four equivalent Mg(3)K2Mg8Fe2 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Mg10Fe2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)K2Mg8Fe2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Fe(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)KMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Fe(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)K2Mg8Fe2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent K(1)Mg10Fe2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent K(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Fe(1) atoms to form distorted MgK2Mg8Fe2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)K2Mg8Fe2 cuboctahedra, edges with two equivalent K(1)Mg10Fe2 cuboctahedra, edges with two equivalent Mg(3)K2Mg8Fe2 cuboctahedra, edges with two equivalent Fe(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent K(1)Mg10Fe2 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Fe2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with two equivalent Fe(1)K2Mg10 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Mg10Fe2 cuboctahedra, corners with four equivalent Mg(3)K2Mg8Fe2 cuboctahedra, corners with four equivalent Fe(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Fe2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with two equivalent Mg(4)Mg12 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one K(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Fe(1) atom. In the sixth Mg site, Mg(6) is bonded in a distorted single-bond geometry to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Fe(1) atom. In the seventh Mg site, Mg(7) is bonded to one K(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgKMg11 cuboctahedra that share corners with six equivalent Mg(7)KMg11 cuboctahedra, edges with two equivalent K(1)Mg10Fe2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Fe2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one K(1)Mg10Fe2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Fe2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with three equivalent Fe(1)K2Mg10 cuboctahedra. Fe(1) is bonded to two equivalent K(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form FeK2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Fe(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent K(1)Mg10Fe2 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Fe2 cuboctahedra, faces with two equivalent K(1)Mg10Fe2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(3)K2Mg8Fe2 cuboctahedra, and faces with six equivalent Mg(7)KMg11 cuboctahedra. is represented by the CIF file [CIF]
data_KMg14Fe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.458
_cell_length_b   6.483
_cell_length_c   10.340
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.129
_symmetry_Int_Tables_number   1
_cell_volume   374.451
_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  0.165  0.833  0.125  1.0
  Mg  Mg1  1  0.165  0.333  0.625  1.0
  Mg  Mg2  1  0.169  0.834  0.625  1.0
  Mg  Mg3  1  0.662  0.337  0.125  1.0
  Mg  Mg4  1  0.666  0.330  0.625  1.0
  Mg  Mg5  1  0.662  0.824  0.125  1.0
  Mg  Mg6  1  0.666  0.836  0.625  1.0
  Mg  Mg7  1  0.333  0.180  0.379  1.0
  Mg  Mg8  1  0.333  0.180  0.871  1.0
  Mg  Mg9  1  0.333  0.654  0.379  1.0
  Mg  Mg10  1  0.333  0.654  0.871  1.0
  Mg  Mg11  1  0.842  0.171  0.363  1.0
  Mg  Mg12  1  0.842  0.171  0.887  1.0
  Mg  Mg13  1  0.823  0.662  0.389  1.0
  Mg  Mg14  1  0.823  0.662  0.861  1.0
  Fe  Fe15  1  0.182  0.341  0.125  1.0
[/CIF]
.