The material described by Mg14TiZn 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 Ti(1)Mg10Zn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Zn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiZn cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zn(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiZn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti 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 Zn(1)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiZn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Zn2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiZn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zn 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 Ti(1), and two equivalent Zn(1) atoms to form distorted MgMg8Ti2Zn2 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)Mg8Ti2Zn2 cuboctahedra, edges with two equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, edges with two equivalent Ti(1)Mg10Zn2 cuboctahedra, edges with two equivalent Zn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiZn cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, faces with two equivalent Ti(1)Mg10Zn2 cuboctahedra, faces with two equivalent Zn(1)Mg10Ti2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiZn 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)Mg8Ti2Zn2 cuboctahedra, corners with four equivalent Ti(1)Mg10Zn2 cuboctahedra, corners with four equivalent Zn(1)Mg10Ti2 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)Mg10TiZn cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Zn 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)Mg8Ti2Zn2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiZn 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 Ti(1), and one Zn(1) atom to form distorted MgMg10TiZn cuboctahedra that share corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with four equivalent Mg(6)Mg11Zn cuboctahedra, corners with ten equivalent Mg(5)Mg10TiZn cuboctahedra, edges with two equivalent Mg(5)Mg10TiZn cuboctahedra, edges with two equivalent Mg(7)Mg11Ti cuboctahedra, edges with two equivalent Mg(6)Mg11Zn 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)Mg8Ti2Zn2 cuboctahedra, edges with two equivalent Ti(1)Mg10Zn2 cuboctahedra, edges with two equivalent Zn(1)Mg10Ti2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Zn2 cuboctahedra,  a faceface with one Zn(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with four equivalent Mg(5)Mg10TiZn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Ti2Zn2 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 Zn(1) atom to form distorted MgMg11Zn cuboctahedra that share corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with six equivalent Mg(6)Mg11Zn cuboctahedra, corners with eight equivalent Mg(5)Mg10TiZn cuboctahedra, edges with two equivalent Mg(7)Mg11Ti cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Zn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiZn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Zn(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ti(1)Mg10Zn2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiZn 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 Ti(1) atom to form distorted MgMg11Ti cuboctahedra that share corners with four equivalent Mg(6)Mg11Zn cuboctahedra, corners with six equivalent Mg(7)Mg11Ti cuboctahedra, corners with eight equivalent Mg(5)Mg10TiZn cuboctahedra, edges with two equivalent Mg(6)Mg11Zn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Zn2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiZn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Zn(1)Mg10Ti2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiZn cuboctahedra. Ti(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Zn(1) atoms to form TiMg10Zn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ti(1)Mg10Zn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Zn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiZn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zn(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiZn cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zn cuboctahedra. Zn(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ti(1) atoms to form ZnMg10Ti2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Zn(1)Mg10Ti2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Zn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Zn cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiZn cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Zn2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiZn cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti cuboctahedra. is represented by the CIF file [CIF]
data_Mg14TiZn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.316
_cell_length_b   6.277
_cell_length_c   10.078
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.793
_symmetry_Int_Tables_number   1
_cell_volume   346.743
_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  0.664  0.337  0.125  1.0
  Mg  Mg3  1  0.665  0.332  0.625  1.0
  Mg  Mg4  1  0.664  0.827  0.125  1.0
  Mg  Mg5  1  0.665  0.834  0.625  1.0
  Mg  Mg6  1  0.329  0.163  0.366  1.0
  Mg  Mg7  1  0.329  0.163  0.884  1.0
  Mg  Mg8  1  0.329  0.666  0.366  1.0
  Mg  Mg9  1  0.329  0.666  0.884  1.0
  Mg  Mg10  1  0.838  0.169  0.368  1.0
  Mg  Mg11  1  0.838  0.169  0.882  1.0
  Mg  Mg12  1  0.839  0.670  0.372  1.0
  Mg  Mg13  1  0.839  0.670  0.878  1.0
  Ti  Ti14  1  0.161  0.831  0.125  1.0
  Zn  Zn15  1  0.174  0.337  0.125  1.0
[/CIF]
.
The material described by Mg14TiZn 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 Ti(1)Mg10Zn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Zn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiZn cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zn(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiZn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti 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 Zn(1)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiZn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Zn2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiZn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zn 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 Ti(1), and two equivalent Zn(1) atoms to form distorted MgMg8Ti2Zn2 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)Mg8Ti2Zn2 cuboctahedra, edges with two equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, edges with two equivalent Ti(1)Mg10Zn2 cuboctahedra, edges with two equivalent Zn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiZn cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, faces with two equivalent Ti(1)Mg10Zn2 cuboctahedra, faces with two equivalent Zn(1)Mg10Ti2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiZn 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)Mg8Ti2Zn2 cuboctahedra, corners with four equivalent Ti(1)Mg10Zn2 cuboctahedra, corners with four equivalent Zn(1)Mg10Ti2 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)Mg10TiZn cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Zn 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)Mg8Ti2Zn2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiZn 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 Ti(1), and one Zn(1) atom to form distorted MgMg10TiZn cuboctahedra that share corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with four equivalent Mg(6)Mg11Zn cuboctahedra, corners with ten equivalent Mg(5)Mg10TiZn cuboctahedra, edges with two equivalent Mg(5)Mg10TiZn cuboctahedra, edges with two equivalent Mg(7)Mg11Ti cuboctahedra, edges with two equivalent Mg(6)Mg11Zn 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)Mg8Ti2Zn2 cuboctahedra, edges with two equivalent Ti(1)Mg10Zn2 cuboctahedra, edges with two equivalent Zn(1)Mg10Ti2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Zn2 cuboctahedra,  a faceface with one Zn(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with four equivalent Mg(5)Mg10TiZn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Ti2Zn2 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 Zn(1) atom to form distorted MgMg11Zn cuboctahedra that share corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with six equivalent Mg(6)Mg11Zn cuboctahedra, corners with eight equivalent Mg(5)Mg10TiZn cuboctahedra, edges with two equivalent Mg(7)Mg11Ti cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Zn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiZn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Zn(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ti(1)Mg10Zn2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiZn 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 Ti(1) atom to form distorted MgMg11Ti cuboctahedra that share corners with four equivalent Mg(6)Mg11Zn cuboctahedra, corners with six equivalent Mg(7)Mg11Ti cuboctahedra, corners with eight equivalent Mg(5)Mg10TiZn cuboctahedra, edges with two equivalent Mg(6)Mg11Zn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Zn2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiZn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Zn(1)Mg10Ti2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiZn cuboctahedra. Ti(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Zn(1) atoms to form TiMg10Zn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ti(1)Mg10Zn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Zn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiZn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zn(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiZn cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zn cuboctahedra. Zn(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ti(1) atoms to form ZnMg10Ti2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Zn(1)Mg10Ti2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Zn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Zn cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiZn cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Zn2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiZn cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Zn2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti cuboctahedra. is represented by the CIF file [CIF]
data_Mg14TiZn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.316
_cell_length_b   6.277
_cell_length_c   10.078
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.793
_symmetry_Int_Tables_number   1
_cell_volume   346.743
_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  0.664  0.337  0.125  1.0
  Mg  Mg3  1  0.665  0.332  0.625  1.0
  Mg  Mg4  1  0.664  0.827  0.125  1.0
  Mg  Mg5  1  0.665  0.834  0.625  1.0
  Mg  Mg6  1  0.329  0.163  0.366  1.0
  Mg  Mg7  1  0.329  0.163  0.884  1.0
  Mg  Mg8  1  0.329  0.666  0.366  1.0
  Mg  Mg9  1  0.329  0.666  0.884  1.0
  Mg  Mg10  1  0.838  0.169  0.368  1.0
  Mg  Mg11  1  0.838  0.169  0.882  1.0
  Mg  Mg12  1  0.839  0.670  0.372  1.0
  Mg  Mg13  1  0.839  0.670  0.878  1.0
  Ti  Ti14  1  0.161  0.831  0.125  1.0
  Zn  Zn15  1  0.174  0.337  0.125  1.0
[/CIF]
.