The material described by Mg14CrAl 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 Cr(1)Mg10Al2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Al2Cr2 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)Mg10AlCr cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10Cr2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlCr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Cr 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)Mg10Cr2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlCr cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlCr 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 Cr(1), and two equivalent Al(1) atoms to form MgMg8Al2Cr2 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)Mg8Al2Cr2 cuboctahedra, edges with two equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, edges with two equivalent Cr(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(5)Mg10AlCr cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, faces with two equivalent Cr(1)Mg10Al2 cuboctahedra, faces with two equivalent Al(1)Mg10Cr2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10AlCr 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)Mg8Al2Cr2 cuboctahedra, corners with four equivalent Cr(1)Mg10Al2 cuboctahedra, corners with four equivalent Al(1)Mg10Cr2 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)Mg10AlCr cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Cr 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)Mg8Al2Cr2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10AlCr 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 Cr(1), and one Al(1) atom to form distorted MgMg10AlCr cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with four equivalent Mg(7)Mg11Cr cuboctahedra, corners with ten equivalent Mg(5)Mg10AlCr cuboctahedra, edges with two equivalent Mg(5)Mg10AlCr cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(7)Mg11Cr 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)Mg8Al2Cr2 cuboctahedra, edges with two equivalent Cr(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Cr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cr(1)Mg10Al2 cuboctahedra,  a faceface with one Al(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with four equivalent Mg(5)Mg10AlCr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Al2Cr2 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)Mg11Cr cuboctahedra, corners with six equivalent Mg(6)Mg11Al cuboctahedra, corners with eight equivalent Mg(5)Mg10AlCr cuboctahedra, edges with two equivalent Mg(7)Mg11Cr cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(5)Mg10AlCr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Al2Cr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Al(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cr(1)Mg10Al2 cuboctahedra, and faces with four equivalent Mg(5)Mg10AlCr 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 Cr(1) atom to form distorted MgMg11Cr cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with six equivalent Mg(7)Mg11Cr cuboctahedra, corners with eight equivalent Mg(5)Mg10AlCr cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Cr(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(5)Mg10AlCr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Al2Cr2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cr(1)Mg10Al2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Al(1)Mg10Cr2 cuboctahedra, and faces with four equivalent Mg(5)Mg10AlCr cuboctahedra. Cr(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Al(1) atoms to form CrMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cr(1)Mg10Al2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, edges with four equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlCr cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10Cr2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlCr cuboctahedra, faces with four equivalent Mg(3)Mg8Al2Cr2 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 Cr(1) atoms to form AlMg10Cr2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Al(1)Mg10Cr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cr(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlCr cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlCr cuboctahedra, faces with four equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Cr cuboctahedra. is represented by the CIF file [CIF]
data_Mg14AlCr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.266
_cell_length_b   6.256
_cell_length_c   10.287
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.949
_symmetry_Int_Tables_number   1
_cell_volume   349.436
_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  0.168  0.834  0.625  1.0
  Mg  Mg2  1  0.669  0.335  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.669  0.833  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.329  0.164  0.367  1.0
  Mg  Mg7  1  0.329  0.164  0.883  1.0
  Mg  Mg8  1  0.329  0.665  0.367  1.0
  Mg  Mg9  1  0.329  0.665  0.883  1.0
  Mg  Mg10  1  0.837  0.169  0.372  1.0
  Mg  Mg11  1  0.837  0.169  0.878  1.0
  Mg  Mg12  1  0.837  0.669  0.372  1.0
  Mg  Mg13  1  0.837  0.669  0.878  1.0
  Al  Al14  1  0.165  0.333  0.125  1.0
  Cr  Cr15  1  0.165  0.833  0.125  1.0
[/CIF]
.
The material described by Mg14CrAl 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 Cr(1)Mg10Al2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Al2Cr2 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)Mg10AlCr cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10Cr2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlCr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Cr 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)Mg10Cr2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlCr cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlCr 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 Cr(1), and two equivalent Al(1) atoms to form MgMg8Al2Cr2 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)Mg8Al2Cr2 cuboctahedra, edges with two equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, edges with two equivalent Cr(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(5)Mg10AlCr cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, faces with two equivalent Cr(1)Mg10Al2 cuboctahedra, faces with two equivalent Al(1)Mg10Cr2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10AlCr 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)Mg8Al2Cr2 cuboctahedra, corners with four equivalent Cr(1)Mg10Al2 cuboctahedra, corners with four equivalent Al(1)Mg10Cr2 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)Mg10AlCr cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Cr 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)Mg8Al2Cr2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10AlCr 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 Cr(1), and one Al(1) atom to form distorted MgMg10AlCr cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with four equivalent Mg(7)Mg11Cr cuboctahedra, corners with ten equivalent Mg(5)Mg10AlCr cuboctahedra, edges with two equivalent Mg(5)Mg10AlCr cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(7)Mg11Cr 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)Mg8Al2Cr2 cuboctahedra, edges with two equivalent Cr(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Cr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cr(1)Mg10Al2 cuboctahedra,  a faceface with one Al(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with four equivalent Mg(5)Mg10AlCr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Al2Cr2 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)Mg11Cr cuboctahedra, corners with six equivalent Mg(6)Mg11Al cuboctahedra, corners with eight equivalent Mg(5)Mg10AlCr cuboctahedra, edges with two equivalent Mg(7)Mg11Cr cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(5)Mg10AlCr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Al2Cr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Al(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cr(1)Mg10Al2 cuboctahedra, and faces with four equivalent Mg(5)Mg10AlCr 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 Cr(1) atom to form distorted MgMg11Cr cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with six equivalent Mg(7)Mg11Cr cuboctahedra, corners with eight equivalent Mg(5)Mg10AlCr cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Cr(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(5)Mg10AlCr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Al2Cr2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cr(1)Mg10Al2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Al(1)Mg10Cr2 cuboctahedra, and faces with four equivalent Mg(5)Mg10AlCr cuboctahedra. Cr(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Al(1) atoms to form CrMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cr(1)Mg10Al2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Al(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, edges with four equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlCr cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Al(1)Mg10Cr2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlCr cuboctahedra, faces with four equivalent Mg(3)Mg8Al2Cr2 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 Cr(1) atoms to form AlMg10Cr2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Al(1)Mg10Cr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cr(1)Mg10Al2 cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, edges with eight equivalent Mg(5)Mg10AlCr cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Mg10Al2 cuboctahedra, faces with four equivalent Mg(5)Mg10AlCr cuboctahedra, faces with four equivalent Mg(3)Mg8Al2Cr2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Cr cuboctahedra. is represented by the CIF file [CIF]
data_Mg14AlCr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.266
_cell_length_b   6.256
_cell_length_c   10.287
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.949
_symmetry_Int_Tables_number   1
_cell_volume   349.436
_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  0.168  0.834  0.625  1.0
  Mg  Mg2  1  0.669  0.335  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.669  0.833  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.329  0.164  0.367  1.0
  Mg  Mg7  1  0.329  0.164  0.883  1.0
  Mg  Mg8  1  0.329  0.665  0.367  1.0
  Mg  Mg9  1  0.329  0.665  0.883  1.0
  Mg  Mg10  1  0.837  0.169  0.372  1.0
  Mg  Mg11  1  0.837  0.169  0.878  1.0
  Mg  Mg12  1  0.837  0.669  0.372  1.0
  Mg  Mg13  1  0.837  0.669  0.878  1.0
  Al  Al14  1  0.165  0.333  0.125  1.0
  Cr  Cr15  1  0.165  0.833  0.125  1.0
[/CIF]
.