The compound described by Mg14VAl crystallizes in the orthorhombic Amm2 space group. 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 V(1)Mg10Al2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Al2V2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlV cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10V2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlV cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11V 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 Al(1)Mg10V2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Al2V2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11V cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlV cuboctahedra, faces with two equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent V(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlV cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Al cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent V(1), and two equivalent Al(1) atoms to form MgMg8Al2V2 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)Mg8Al2V2 cuboctahedra, edges with two equivalent Mg(3)Mg8Al2V2 cuboctahedra, edges with two equivalent V(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(5)Mg10AlV cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Al2V2 cuboctahedra, faces with two equivalent V(1)Mg10Al2 cuboctahedra, faces with two equivalent Al(1)Mg10V2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10AlV 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 Mg(3)Mg8Al2V2 cuboctahedra, corners with four equivalent V(1)Mg10Al2 cuboctahedra, corners with four equivalent Al(1)Mg10V2 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)Mg10AlV cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11V 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, faces with two equivalent Mg(3)Mg8Al2V2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10AlV cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one V(1), and one Al(1) atom to form distorted MgMg10AlV cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with four equivalent Mg(7)Mg11V cuboctahedra, corners with ten equivalent Mg(5)Mg10AlV cuboctahedra, edges with two equivalent Mg(5)Mg10AlV cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(7)Mg11V 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 two equivalent Mg(3)Mg8Al2V2 cuboctahedra, edges with two equivalent V(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10V2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one V(1)Mg10Al2 cuboctahedra,  a faceface with one Al(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11V cuboctahedra, faces with four equivalent Mg(5)Mg10AlV cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Al2V2 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Al(1) atom to form MgMg11Al cuboctahedra that share corners with four equivalent Mg(7)Mg11V cuboctahedra, corners with six equivalent Mg(6)Mg11Al cuboctahedra, corners with eight equivalent Mg(5)Mg10AlV cuboctahedra, edges with two equivalent Mg(7)Mg11V cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(5)Mg10AlV cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Al2V2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Al(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Al2V2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent V(1)Mg10Al2 cuboctahedra, and faces with four equivalent Mg(5)Mg10AlV 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 V(1) atom to form distorted MgMg11V cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with six equivalent Mg(7)Mg11V cuboctahedra, corners with eight equivalent Mg(5)Mg10AlV cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent V(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(5)Mg10AlV cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Al2V2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one V(1)Mg10Al2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Al2V2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Al(1)Mg10V2 cuboctahedra, and faces with four equivalent Mg(5)Mg10AlV cuboctahedra. V(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Al(1) atoms to form VMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent V(1)Mg10Al2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(7)Mg11V cuboctahedra, edges with four equivalent Mg(3)Mg8Al2V2 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlV cuboctahedra, faces with two equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10V2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlV cuboctahedra, faces with four equivalent Mg(3)Mg8Al2V2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Al cuboctahedra. Al(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent V(1) atoms to form AlMg10V2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Al(1)Mg10V2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent V(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(3)Mg8Al2V2 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlV cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent V(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlV cuboctahedra, faces with four equivalent Mg(3)Mg8Al2V2 cuboctahedra, and faces with six equivalent Mg(7)Mg11V cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg14AlV
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.253
_cell_length_b   6.216
_cell_length_c   10.287
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.805
_symmetry_Int_Tables_number   1
_cell_volume   346.995
_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
  Mg  Mg0  1  0.167  0.334  0.625  1.0
  Mg  Mg1  1  0.167  0.834  0.625  1.0
  Mg  Mg2  1  0.668  0.335  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.668  0.832  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.330  0.164  0.368  1.0
  Mg  Mg7  1  0.330  0.164  0.882  1.0
  Mg  Mg8  1  0.330  0.666  0.368  1.0
  Mg  Mg9  1  0.330  0.666  0.882  1.0
  Mg  Mg10  1  0.836  0.168  0.374  1.0
  Mg  Mg11  1  0.836  0.168  0.876  1.0
  Mg  Mg12  1  0.838  0.669  0.373  1.0
  Mg  Mg13  1  0.838  0.669  0.877  1.0
  Al  Al14  1  0.168  0.334  0.125  1.0
  V  V15  1  0.166  0.833  0.125  1.0
[/CIF]
.
The compound described by Mg14VAl crystallizes in the orthorhombic Amm2 space group. 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 V(1)Mg10Al2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Al2V2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlV cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10V2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlV cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11V 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 Al(1)Mg10V2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Al2V2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11V cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlV cuboctahedra, faces with two equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent V(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlV cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Al cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent V(1), and two equivalent Al(1) atoms to form MgMg8Al2V2 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)Mg8Al2V2 cuboctahedra, edges with two equivalent Mg(3)Mg8Al2V2 cuboctahedra, edges with two equivalent V(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(5)Mg10AlV cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Al2V2 cuboctahedra, faces with two equivalent V(1)Mg10Al2 cuboctahedra, faces with two equivalent Al(1)Mg10V2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10AlV 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 Mg(3)Mg8Al2V2 cuboctahedra, corners with four equivalent V(1)Mg10Al2 cuboctahedra, corners with four equivalent Al(1)Mg10V2 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)Mg10AlV cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11V 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, faces with two equivalent Mg(3)Mg8Al2V2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10AlV cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one V(1), and one Al(1) atom to form distorted MgMg10AlV cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with four equivalent Mg(7)Mg11V cuboctahedra, corners with ten equivalent Mg(5)Mg10AlV cuboctahedra, edges with two equivalent Mg(5)Mg10AlV cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(7)Mg11V 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 two equivalent Mg(3)Mg8Al2V2 cuboctahedra, edges with two equivalent V(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10V2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one V(1)Mg10Al2 cuboctahedra,  a faceface with one Al(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11V cuboctahedra, faces with four equivalent Mg(5)Mg10AlV cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Al2V2 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Al(1) atom to form MgMg11Al cuboctahedra that share corners with four equivalent Mg(7)Mg11V cuboctahedra, corners with six equivalent Mg(6)Mg11Al cuboctahedra, corners with eight equivalent Mg(5)Mg10AlV cuboctahedra, edges with two equivalent Mg(7)Mg11V cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(5)Mg10AlV cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Al2V2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Al(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Al2V2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent V(1)Mg10Al2 cuboctahedra, and faces with four equivalent Mg(5)Mg10AlV 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 V(1) atom to form distorted MgMg11V cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with six equivalent Mg(7)Mg11V cuboctahedra, corners with eight equivalent Mg(5)Mg10AlV cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent V(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(5)Mg10AlV cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Al2V2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one V(1)Mg10Al2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Al2V2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Al(1)Mg10V2 cuboctahedra, and faces with four equivalent Mg(5)Mg10AlV cuboctahedra. V(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Al(1) atoms to form VMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent V(1)Mg10Al2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(7)Mg11V cuboctahedra, edges with four equivalent Mg(3)Mg8Al2V2 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlV cuboctahedra, faces with two equivalent Mg(7)Mg11V cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10V2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlV cuboctahedra, faces with four equivalent Mg(3)Mg8Al2V2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Al cuboctahedra. Al(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent V(1) atoms to form AlMg10V2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Al(1)Mg10V2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent V(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(3)Mg8Al2V2 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlV cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent V(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlV cuboctahedra, faces with four equivalent Mg(3)Mg8Al2V2 cuboctahedra, and faces with six equivalent Mg(7)Mg11V cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg14AlV
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.253
_cell_length_b   6.216
_cell_length_c   10.287
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.805
_symmetry_Int_Tables_number   1
_cell_volume   346.995
_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
  Mg  Mg0  1  0.167  0.334  0.625  1.0
  Mg  Mg1  1  0.167  0.834  0.625  1.0
  Mg  Mg2  1  0.668  0.335  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.668  0.832  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.330  0.164  0.368  1.0
  Mg  Mg7  1  0.330  0.164  0.882  1.0
  Mg  Mg8  1  0.330  0.666  0.368  1.0
  Mg  Mg9  1  0.330  0.666  0.882  1.0
  Mg  Mg10  1  0.836  0.168  0.374  1.0
  Mg  Mg11  1  0.836  0.168  0.876  1.0
  Mg  Mg12  1  0.838  0.669  0.373  1.0
  Mg  Mg13  1  0.838  0.669  0.877  1.0
  Al  Al14  1  0.168  0.334  0.125  1.0
  V  V15  1  0.166  0.833  0.125  1.0
[/CIF]
.