The material structure described by Mg14TiSn 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)Mg10Sn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiSn cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Sn(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiSn 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 Sn(1)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Sn2 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)Mg10TiSn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Sn2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiSn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Sn 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 Sn(1) atoms to form distorted MgMg8Ti2Sn2 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)Mg8Ti2Sn2 cuboctahedra, edges with two equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, edges with two equivalent Ti(1)Mg10Sn2 cuboctahedra, edges with two equivalent Sn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiSn cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, faces with two equivalent Ti(1)Mg10Sn2 cuboctahedra, faces with two equivalent Sn(1)Mg10Ti2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiSn 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)Mg8Ti2Sn2 cuboctahedra, corners with four equivalent Ti(1)Mg10Sn2 cuboctahedra, corners with four equivalent Sn(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)Mg10TiSn cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti 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)Mg8Ti2Sn2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiSn 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 Sn(1) atom to form distorted MgMg10TiSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Sn cuboctahedra, corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with ten equivalent Mg(5)Mg10TiSn cuboctahedra, edges with two equivalent Mg(5)Mg10TiSn cuboctahedra, edges with two equivalent Mg(6)Mg11Sn cuboctahedra, edges with two equivalent Mg(7)Mg11Ti 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)Mg8Ti2Sn2 cuboctahedra, edges with two equivalent Ti(1)Mg10Sn2 cuboctahedra, edges with two equivalent Sn(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)Mg10Sn2 cuboctahedra,  a faceface with one Sn(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with four equivalent Mg(5)Mg10TiSn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Ti2Sn2 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 Sn(1) atom to form distorted MgMg11Sn cuboctahedra that share corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with six equivalent Mg(6)Mg11Sn cuboctahedra, corners with eight equivalent Mg(5)Mg10TiSn cuboctahedra, edges with two equivalent Mg(7)Mg11Ti cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Sn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiSn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Sn(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ti(1)Mg10Sn2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiSn 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 MgMg11Ti cuboctahedra that share corners with four equivalent Mg(6)Mg11Sn cuboctahedra, corners with six equivalent Mg(7)Mg11Ti cuboctahedra, corners with eight equivalent Mg(5)Mg10TiSn cuboctahedra, edges with two equivalent Mg(6)Mg11Sn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Sn2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiSn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Sn2 cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Sn(1)Mg10Ti2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiSn cuboctahedra. Ti(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Sn(1) atoms to form TiMg10Sn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ti(1)Mg10Sn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Sn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiSn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Sn(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiSn cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Sn cuboctahedra. Sn(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ti(1) atoms to form SnMg10Ti2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Sn(1)Mg10Ti2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Sn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiSn cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Sn2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiSn cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti cuboctahedra. is represented by the CIF file [CIF]
data_Mg14TiSn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.358
_cell_length_b   6.264
_cell_length_c   10.261
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.513
_symmetry_Int_Tables_number   1
_cell_volume   355.641
_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  0.166  0.333  0.625  1.0
  Mg  Mg1  1  0.166  0.833  0.625  1.0
  Mg  Mg2  1  0.667  0.335  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.667  0.832  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.332  0.162  0.374  1.0
  Mg  Mg7  1  0.332  0.162  0.876  1.0
  Mg  Mg8  1  0.332  0.670  0.374  1.0
  Mg  Mg9  1  0.332  0.670  0.876  1.0
  Mg  Mg10  1  0.832  0.166  0.376  1.0
  Mg  Mg11  1  0.832  0.166  0.874  1.0
  Mg  Mg12  1  0.838  0.669  0.373  1.0
  Mg  Mg13  1  0.838  0.669  0.877  1.0
  Ti  Ti14  1  0.165  0.832  0.125  1.0
  Sn  Sn15  1  0.166  0.333  0.125  1.0
[/CIF]
.
The material structure described by Mg14TiSn 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)Mg10Sn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiSn cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Sn(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiSn 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 Sn(1)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ti2Sn2 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)Mg10TiSn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Sn2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiSn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Sn 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 Sn(1) atoms to form distorted MgMg8Ti2Sn2 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)Mg8Ti2Sn2 cuboctahedra, edges with two equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, edges with two equivalent Ti(1)Mg10Sn2 cuboctahedra, edges with two equivalent Sn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiSn cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, faces with two equivalent Ti(1)Mg10Sn2 cuboctahedra, faces with two equivalent Sn(1)Mg10Ti2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiSn 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)Mg8Ti2Sn2 cuboctahedra, corners with four equivalent Ti(1)Mg10Sn2 cuboctahedra, corners with four equivalent Sn(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)Mg10TiSn cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti 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)Mg8Ti2Sn2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10TiSn 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 Sn(1) atom to form distorted MgMg10TiSn cuboctahedra that share corners with four equivalent Mg(6)Mg11Sn cuboctahedra, corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with ten equivalent Mg(5)Mg10TiSn cuboctahedra, edges with two equivalent Mg(5)Mg10TiSn cuboctahedra, edges with two equivalent Mg(6)Mg11Sn cuboctahedra, edges with two equivalent Mg(7)Mg11Ti 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)Mg8Ti2Sn2 cuboctahedra, edges with two equivalent Ti(1)Mg10Sn2 cuboctahedra, edges with two equivalent Sn(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)Mg10Sn2 cuboctahedra,  a faceface with one Sn(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with four equivalent Mg(5)Mg10TiSn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Ti2Sn2 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 Sn(1) atom to form distorted MgMg11Sn cuboctahedra that share corners with four equivalent Mg(7)Mg11Ti cuboctahedra, corners with six equivalent Mg(6)Mg11Sn cuboctahedra, corners with eight equivalent Mg(5)Mg10TiSn cuboctahedra, edges with two equivalent Mg(7)Mg11Ti cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Sn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiSn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Sn(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ti(1)Mg10Sn2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiSn 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 MgMg11Ti cuboctahedra that share corners with four equivalent Mg(6)Mg11Sn cuboctahedra, corners with six equivalent Mg(7)Mg11Ti cuboctahedra, corners with eight equivalent Mg(5)Mg10TiSn cuboctahedra, edges with two equivalent Mg(6)Mg11Sn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Sn2 cuboctahedra, edges with four equivalent Mg(5)Mg10TiSn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ti(1)Mg10Sn2 cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Sn(1)Mg10Ti2 cuboctahedra, and faces with four equivalent Mg(5)Mg10TiSn cuboctahedra. Ti(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Sn(1) atoms to form TiMg10Sn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ti(1)Mg10Sn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Sn(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ti cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiSn cuboctahedra, faces with two equivalent Mg(7)Mg11Ti cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Sn(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiSn cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Sn cuboctahedra. Sn(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ti(1) atoms to form SnMg10Ti2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Sn(1)Mg10Ti2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ti(1)Mg10Sn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, edges with four equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10TiSn cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ti(1)Mg10Sn2 cuboctahedra, faces with four equivalent Mg(5)Mg10TiSn cuboctahedra, faces with four equivalent Mg(3)Mg8Ti2Sn2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ti cuboctahedra. is represented by the CIF file [CIF]
data_Mg14TiSn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.358
_cell_length_b   6.264
_cell_length_c   10.261
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.513
_symmetry_Int_Tables_number   1
_cell_volume   355.641
_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  0.166  0.333  0.625  1.0
  Mg  Mg1  1  0.166  0.833  0.625  1.0
  Mg  Mg2  1  0.667  0.335  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.667  0.832  0.125  1.0
  Mg  Mg5  1  0.666  0.834  0.625  1.0
  Mg  Mg6  1  0.332  0.162  0.374  1.0
  Mg  Mg7  1  0.332  0.162  0.876  1.0
  Mg  Mg8  1  0.332  0.670  0.374  1.0
  Mg  Mg9  1  0.332  0.670  0.876  1.0
  Mg  Mg10  1  0.832  0.166  0.376  1.0
  Mg  Mg11  1  0.832  0.166  0.874  1.0
  Mg  Mg12  1  0.838  0.669  0.373  1.0
  Mg  Mg13  1  0.838  0.669  0.877  1.0
  Ti  Ti14  1  0.165  0.832  0.125  1.0
  Sn  Sn15  1  0.166  0.333  0.125  1.0
[/CIF]
.