The crystal structure described by Mg14ZrAl 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 Zr(1)Mg10Al2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Zr2Al2 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)Mg10ZrAl cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10Zr2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Zr 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)Mg10Zr2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with two equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Zr(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrAl 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 Zr(1), and two equivalent Al(1) atoms to form MgMg8Zr2Al2 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)Mg8Zr2Al2 cuboctahedra, edges with two equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, edges with two equivalent Zr(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, faces with two equivalent Zr(1)Mg10Al2 cuboctahedra, faces with two equivalent Al(1)Mg10Zr2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10ZrAl 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)Mg8Zr2Al2 cuboctahedra, corners with four equivalent Zr(1)Mg10Al2 cuboctahedra, corners with four equivalent Al(1)Mg10Zr2 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)Mg10ZrAl cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Zr 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)Mg8Zr2Al2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10ZrAl 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 Zr(1), and one Al(1) atom to form distorted MgMg10ZrAl cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with four equivalent Mg(7)Mg11Zr cuboctahedra, corners with ten equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with two equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(7)Mg11Zr 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)Mg8Zr2Al2 cuboctahedra, edges with two equivalent Zr(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Zr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Zr(1)Mg10Al2 cuboctahedra,  a faceface with one Al(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Zr cuboctahedra, faces with four equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Zr2Al2 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 distorted MgMg11Al cuboctahedra that share corners with four equivalent Mg(7)Mg11Zr cuboctahedra, corners with six equivalent Mg(6)Mg11Al cuboctahedra, corners with eight equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with two equivalent Mg(7)Mg11Zr cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Al2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Al(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Zr(1)Mg10Al2 cuboctahedra, and faces with four equivalent Mg(5)Mg10ZrAl 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 Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with six equivalent Mg(7)Mg11Zr cuboctahedra, corners with eight equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Zr(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Al2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Zr(1)Mg10Al2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Al(1)Mg10Zr2 cuboctahedra, and faces with four equivalent Mg(5)Mg10ZrAl cuboctahedra. Zr(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Al(1) atoms to form ZrMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Zr(1)Mg10Al2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(7)Mg11Zr cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with two equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10Zr2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with four equivalent Mg(3)Mg8Zr2Al2 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 Zr(1) atoms to form AlMg10Zr2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Al(1)Mg10Zr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Zr(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Zr(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with four equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Zr cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg14ZrAl
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.379
_cell_length_b   6.235
_cell_length_c   10.240
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.254
_symmetry_Int_Tables_number   1
_cell_volume   355.356
_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  0.165  0.333  0.625  1.0
  Mg  Mg1  1  0.166  0.833  0.625  1.0
  Mg  Mg2  1  0.664  0.335  0.125  1.0
  Mg  Mg3  1  0.666  0.332  0.625  1.0
  Mg  Mg4  1  0.664  0.829  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.332  0.165  0.372  1.0
  Mg  Mg7  1  0.332  0.165  0.878  1.0
  Mg  Mg8  1  0.332  0.667  0.372  1.0
  Mg  Mg9  1  0.332  0.667  0.878  1.0
  Mg  Mg10  1  0.837  0.168  0.371  1.0
  Mg  Mg11  1  0.837  0.168  0.879  1.0
  Mg  Mg12  1  0.837  0.669  0.375  1.0
  Mg  Mg13  1  0.837  0.669  0.875  1.0
  Zr  Zr14  1  0.160  0.830  0.125  1.0
  Al  Al15  1  0.170  0.335  0.125  1.0
[/CIF]
.
The crystal structure described by Mg14ZrAl 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 Zr(1)Mg10Al2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Zr2Al2 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)Mg10ZrAl cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10Zr2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Zr 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)Mg10Zr2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with two equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Zr(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrAl 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 Zr(1), and two equivalent Al(1) atoms to form MgMg8Zr2Al2 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)Mg8Zr2Al2 cuboctahedra, edges with two equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, edges with two equivalent Zr(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, faces with two equivalent Zr(1)Mg10Al2 cuboctahedra, faces with two equivalent Al(1)Mg10Zr2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10ZrAl 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)Mg8Zr2Al2 cuboctahedra, corners with four equivalent Zr(1)Mg10Al2 cuboctahedra, corners with four equivalent Al(1)Mg10Zr2 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)Mg10ZrAl cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Zr 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)Mg8Zr2Al2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10ZrAl 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 Zr(1), and one Al(1) atom to form distorted MgMg10ZrAl cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with four equivalent Mg(7)Mg11Zr cuboctahedra, corners with ten equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with two equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(7)Mg11Zr 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)Mg8Zr2Al2 cuboctahedra, edges with two equivalent Zr(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Zr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Zr(1)Mg10Al2 cuboctahedra,  a faceface with one Al(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Zr cuboctahedra, faces with four equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Zr2Al2 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 distorted MgMg11Al cuboctahedra that share corners with four equivalent Mg(7)Mg11Zr cuboctahedra, corners with six equivalent Mg(6)Mg11Al cuboctahedra, corners with eight equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with two equivalent Mg(7)Mg11Zr cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Al2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Al(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Zr(1)Mg10Al2 cuboctahedra, and faces with four equivalent Mg(5)Mg10ZrAl 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 Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with six equivalent Mg(7)Mg11Zr cuboctahedra, corners with eight equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Zr(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(5)Mg10ZrAl cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Al2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Zr(1)Mg10Al2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Al(1)Mg10Zr2 cuboctahedra, and faces with four equivalent Mg(5)Mg10ZrAl cuboctahedra. Zr(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Al(1) atoms to form ZrMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Zr(1)Mg10Al2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(7)Mg11Zr cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with two equivalent Mg(7)Mg11Zr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10Zr2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with four equivalent Mg(3)Mg8Zr2Al2 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 Zr(1) atoms to form AlMg10Zr2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Al(1)Mg10Zr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Zr(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, edges with eight equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Zr(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10ZrAl cuboctahedra, faces with four equivalent Mg(3)Mg8Zr2Al2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Zr cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg14ZrAl
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.379
_cell_length_b   6.235
_cell_length_c   10.240
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.254
_symmetry_Int_Tables_number   1
_cell_volume   355.356
_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  0.165  0.333  0.625  1.0
  Mg  Mg1  1  0.166  0.833  0.625  1.0
  Mg  Mg2  1  0.664  0.335  0.125  1.0
  Mg  Mg3  1  0.666  0.332  0.625  1.0
  Mg  Mg4  1  0.664  0.829  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.332  0.165  0.372  1.0
  Mg  Mg7  1  0.332  0.165  0.878  1.0
  Mg  Mg8  1  0.332  0.667  0.372  1.0
  Mg  Mg9  1  0.332  0.667  0.878  1.0
  Mg  Mg10  1  0.837  0.168  0.371  1.0
  Mg  Mg11  1  0.837  0.168  0.879  1.0
  Mg  Mg12  1  0.837  0.669  0.375  1.0
  Mg  Mg13  1  0.837  0.669  0.875  1.0
  Zr  Zr14  1  0.160  0.830  0.125  1.0
  Al  Al15  1  0.170  0.335  0.125  1.0
[/CIF]
.