The crystal structure described by KMg14Ga crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ga(1) atoms to form KMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent K(1)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with eight equivalent Mg(5)KMg10Ga cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Ga cuboctahedra, and faces with six equivalent Mg(7)Mg11Ga 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 six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Ga cuboctahedra, faces with two equivalent K(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Ga cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ga 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 K(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Ga cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Ga cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)KMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 3-coordinate geometry to two equivalent K(1), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Ga(1) atom. 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)Mg10Ga2 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(5)KMg10Ga cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)KMg10Ga cuboctahedra. In the fifth Mg site, Mg(5) is bonded 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 Ga(1) atom to form distorted MgKMg10Ga cuboctahedra that share corners with four equivalent Mg(6)KMg11 cuboctahedra, corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with ten equivalent Mg(5)KMg10Ga cuboctahedra, edges with two equivalent K(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(5)KMg10Ga cuboctahedra, edges with two equivalent Mg(6)KMg11 cuboctahedra, edges with two equivalent Mg(7)Mg11Ga 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,  a faceface with one K(1)Mg10Ga2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with four equivalent Mg(5)KMg10Ga cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one K(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form distorted MgKMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with six equivalent Mg(6)KMg11 cuboctahedra, corners with eight equivalent Mg(5)KMg10Ga cuboctahedra, edges with two equivalent K(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(7)Mg11Ga cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(5)KMg10Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one K(1)Mg10Ga2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KMg10Ga cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Ga(1) atom to form distorted MgMg11Ga cuboctahedra that share corners with four equivalent Mg(6)KMg11 cuboctahedra, corners with six equivalent Mg(7)Mg11Ga cuboctahedra, corners with eight equivalent Mg(5)KMg10Ga cuboctahedra, edges with two equivalent Mg(6)KMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(5)KMg10Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent K(1)Mg10Ga2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KMg10Ga cuboctahedra. Ga(1) is bonded in a 10-coordinate geometry to two equivalent K(1), two equivalent Mg(3), two equivalent Mg(7), and four equivalent Mg(5) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_KMg14Ga
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.461
_cell_length_b   6.508
_cell_length_c   10.553
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.243
_symmetry_Int_Tables_number   1
_cell_volume   383.311
_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  0.332  0.125  1.0
  Mg  Mg1  1  0.168  0.334  0.625  1.0
  Mg  Mg2  1  0.166  0.833  0.625  1.0
  Mg  Mg3  1  0.661  0.324  0.125  1.0
  Mg  Mg4  1  0.667  0.335  0.625  1.0
  Mg  Mg5  1  0.661  0.837  0.125  1.0
  Mg  Mg6  1  0.667  0.831  0.625  1.0
  Mg  Mg7  1  0.334  0.158  0.383  1.0
  Mg  Mg8  1  0.334  0.158  0.867  1.0
  Mg  Mg9  1  0.334  0.676  0.383  1.0
  Mg  Mg10  1  0.334  0.676  0.867  1.0
  Mg  Mg11  1  0.823  0.162  0.388  1.0
  Mg  Mg12  1  0.823  0.162  0.862  1.0
  Mg  Mg13  1  0.836  0.668  0.366  1.0
  Mg  Mg14  1  0.836  0.668  0.884  1.0
  Ga  Ga15  1  0.191  0.845  0.125  1.0
[/CIF]
.
The crystal structure described by KMg14Ga crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ga(1) atoms to form KMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent K(1)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with eight equivalent Mg(5)KMg10Ga cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Ga cuboctahedra, and faces with six equivalent Mg(7)Mg11Ga 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 six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Ga cuboctahedra, faces with two equivalent K(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Ga cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ga 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 K(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Ga cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Ga cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)KMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 3-coordinate geometry to two equivalent K(1), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Ga(1) atom. 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)Mg10Ga2 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(5)KMg10Ga cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)KMg10Ga cuboctahedra. In the fifth Mg site, Mg(5) is bonded 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 Ga(1) atom to form distorted MgKMg10Ga cuboctahedra that share corners with four equivalent Mg(6)KMg11 cuboctahedra, corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with ten equivalent Mg(5)KMg10Ga cuboctahedra, edges with two equivalent K(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(5)KMg10Ga cuboctahedra, edges with two equivalent Mg(6)KMg11 cuboctahedra, edges with two equivalent Mg(7)Mg11Ga 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,  a faceface with one K(1)Mg10Ga2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with four equivalent Mg(5)KMg10Ga cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one K(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form distorted MgKMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with six equivalent Mg(6)KMg11 cuboctahedra, corners with eight equivalent Mg(5)KMg10Ga cuboctahedra, edges with two equivalent K(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(7)Mg11Ga cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(5)KMg10Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one K(1)Mg10Ga2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KMg10Ga cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Ga(1) atom to form distorted MgMg11Ga cuboctahedra that share corners with four equivalent Mg(6)KMg11 cuboctahedra, corners with six equivalent Mg(7)Mg11Ga cuboctahedra, corners with eight equivalent Mg(5)KMg10Ga cuboctahedra, edges with two equivalent Mg(6)KMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(5)KMg10Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent K(1)Mg10Ga2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KMg10Ga cuboctahedra. Ga(1) is bonded in a 10-coordinate geometry to two equivalent K(1), two equivalent Mg(3), two equivalent Mg(7), and four equivalent Mg(5) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_KMg14Ga
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.461
_cell_length_b   6.508
_cell_length_c   10.553
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.243
_symmetry_Int_Tables_number   1
_cell_volume   383.311
_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  0.332  0.125  1.0
  Mg  Mg1  1  0.168  0.334  0.625  1.0
  Mg  Mg2  1  0.166  0.833  0.625  1.0
  Mg  Mg3  1  0.661  0.324  0.125  1.0
  Mg  Mg4  1  0.667  0.335  0.625  1.0
  Mg  Mg5  1  0.661  0.837  0.125  1.0
  Mg  Mg6  1  0.667  0.831  0.625  1.0
  Mg  Mg7  1  0.334  0.158  0.383  1.0
  Mg  Mg8  1  0.334  0.158  0.867  1.0
  Mg  Mg9  1  0.334  0.676  0.383  1.0
  Mg  Mg10  1  0.334  0.676  0.867  1.0
  Mg  Mg11  1  0.823  0.162  0.388  1.0
  Mg  Mg12  1  0.823  0.162  0.862  1.0
  Mg  Mg13  1  0.836  0.668  0.366  1.0
  Mg  Mg14  1  0.836  0.668  0.884  1.0
  Ga  Ga15  1  0.191  0.845  0.125  1.0
[/CIF]
.