The compound described by Mg5Ti crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(3)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg8Ti4 cuboctahedra, edges with three equivalent Mg(3)Mg10Ti2 cuboctahedra, edges with three equivalent Mg(2)Mg8Ti4 cuboctahedra, edges with four equivalent Mg(5)Mg10Ti2 cuboctahedra, edges with eight equivalent Ti(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(2)Mg8Ti4 cuboctahedra, faces with two equivalent Ti(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(1)Mg12 cuboctahedra, and faces with six equivalent Mg(4)Mg10Ti2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), and four equivalent Ti(1) atoms to form MgMg8Ti4 cuboctahedra that share corners with six equivalent Mg(3)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg8Ti4 cuboctahedra, edges with three equivalent Mg(3)Mg10Ti2 cuboctahedra, edges with three equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Ti(1)Mg10Ti2 cuboctahedra, edges with eight equivalent Mg(4)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(2)Mg8Ti4 cuboctahedra, faces with four equivalent Ti(1)Mg10Ti2 cuboctahedra, and faces with six equivalent Mg(5)Mg10Ti2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), four equivalent Mg(4), and two equivalent Ti(1) atoms to form distorted MgMg10Ti2 cuboctahedra that share corners with six equivalent Mg(3)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg8Ti4 cuboctahedra, edges with three equivalent Mg(1)Mg12 cuboctahedra, edges with three equivalent Mg(2)Mg8Ti4 cuboctahedra, edges with four equivalent Mg(4)Mg10Ti2 cuboctahedra, edges with eight equivalent Mg(5)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(5)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg8Ti4 cuboctahedra, faces with four equivalent Mg(3)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(4)Mg10Ti2 cuboctahedra, and faces with six equivalent Ti(1)Mg10Ti2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(3), and two equivalent Ti(1) atoms to form distorted MgMg10Ti2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(5)Mg10Ti2 cuboctahedra, corners with six equivalent Ti(1)Mg10Ti2 cuboctahedra, edges with three equivalent Mg(5)Mg10Ti2 cuboctahedra, edges with three equivalent Ti(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(3)Mg10Ti2 cuboctahedra, edges with eight equivalent Mg(2)Mg8Ti4 cuboctahedra, faces with two equivalent Mg(5)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(2)Mg8Ti4 cuboctahedra, faces with two equivalent Ti(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(3)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(4)Mg10Ti2 cuboctahedra, and faces with six equivalent Mg(1)Mg12 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(1), and two equivalent Ti(1) atoms to form distorted MgMg10Ti2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(5)Mg10Ti2 cuboctahedra, corners with six equivalent Ti(1)Mg10Ti2 cuboctahedra, edges with three equivalent Mg(4)Mg10Ti2 cuboctahedra, edges with three equivalent Ti(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(1)Mg12 cuboctahedra, edges with eight equivalent Mg(3)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ti2 cuboctahedra, faces with two equivalent Ti(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(1)Mg12 cuboctahedra, and faces with six equivalent Mg(2)Mg8Ti4 cuboctahedra. Ti(1) is bonded to two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(2), and two equivalent Ti(1) atoms to form TiMg10Ti2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(5)Mg10Ti2 cuboctahedra, corners with six equivalent Ti(1)Mg10Ti2 cuboctahedra, edges with three equivalent Mg(4)Mg10Ti2 cuboctahedra, edges with three equivalent Mg(5)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(2)Mg8Ti4 cuboctahedra, edges with eight equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(5)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(2)Mg8Ti4 cuboctahedra, faces with four equivalent Ti(1)Mg10Ti2 cuboctahedra, and faces with six equivalent Mg(3)Mg10Ti2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Ti
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.378
_cell_length_b   8.378
_cell_length_c   5.104
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   158.621
_symmetry_Int_Tables_number   1
_cell_volume   130.590
_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  1.000  0.000  0.500  1.0
  Mg  Mg1  1  0.330  0.670  0.500  1.0
  Mg  Mg2  1  0.671  0.329  0.500  1.0
  Mg  Mg3  1  0.115  0.885  0.000  1.0
  Mg  Mg4  1  0.440  0.560  0.000  1.0
  Ti  Ti5  1  0.778  0.222  0.000  1.0
[/CIF]
.
The compound described by Mg5Ti crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(3)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg8Ti4 cuboctahedra, edges with three equivalent Mg(3)Mg10Ti2 cuboctahedra, edges with three equivalent Mg(2)Mg8Ti4 cuboctahedra, edges with four equivalent Mg(5)Mg10Ti2 cuboctahedra, edges with eight equivalent Ti(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(2)Mg8Ti4 cuboctahedra, faces with two equivalent Ti(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(1)Mg12 cuboctahedra, and faces with six equivalent Mg(4)Mg10Ti2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), and four equivalent Ti(1) atoms to form MgMg8Ti4 cuboctahedra that share corners with six equivalent Mg(3)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg8Ti4 cuboctahedra, edges with three equivalent Mg(3)Mg10Ti2 cuboctahedra, edges with three equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Ti(1)Mg10Ti2 cuboctahedra, edges with eight equivalent Mg(4)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(2)Mg8Ti4 cuboctahedra, faces with four equivalent Ti(1)Mg10Ti2 cuboctahedra, and faces with six equivalent Mg(5)Mg10Ti2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), four equivalent Mg(4), and two equivalent Ti(1) atoms to form distorted MgMg10Ti2 cuboctahedra that share corners with six equivalent Mg(3)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg8Ti4 cuboctahedra, edges with three equivalent Mg(1)Mg12 cuboctahedra, edges with three equivalent Mg(2)Mg8Ti4 cuboctahedra, edges with four equivalent Mg(4)Mg10Ti2 cuboctahedra, edges with eight equivalent Mg(5)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(5)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg8Ti4 cuboctahedra, faces with four equivalent Mg(3)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(4)Mg10Ti2 cuboctahedra, and faces with six equivalent Ti(1)Mg10Ti2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(3), and two equivalent Ti(1) atoms to form distorted MgMg10Ti2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(5)Mg10Ti2 cuboctahedra, corners with six equivalent Ti(1)Mg10Ti2 cuboctahedra, edges with three equivalent Mg(5)Mg10Ti2 cuboctahedra, edges with three equivalent Ti(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(3)Mg10Ti2 cuboctahedra, edges with eight equivalent Mg(2)Mg8Ti4 cuboctahedra, faces with two equivalent Mg(5)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(2)Mg8Ti4 cuboctahedra, faces with two equivalent Ti(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(3)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(4)Mg10Ti2 cuboctahedra, and faces with six equivalent Mg(1)Mg12 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(1), and two equivalent Ti(1) atoms to form distorted MgMg10Ti2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(5)Mg10Ti2 cuboctahedra, corners with six equivalent Ti(1)Mg10Ti2 cuboctahedra, edges with three equivalent Mg(4)Mg10Ti2 cuboctahedra, edges with three equivalent Ti(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(1)Mg12 cuboctahedra, edges with eight equivalent Mg(3)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(3)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ti2 cuboctahedra, faces with two equivalent Ti(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(1)Mg12 cuboctahedra, and faces with six equivalent Mg(2)Mg8Ti4 cuboctahedra. Ti(1) is bonded to two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), four equivalent Mg(2), and two equivalent Ti(1) atoms to form TiMg10Ti2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(5)Mg10Ti2 cuboctahedra, corners with six equivalent Ti(1)Mg10Ti2 cuboctahedra, edges with three equivalent Mg(4)Mg10Ti2 cuboctahedra, edges with three equivalent Mg(5)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(2)Mg8Ti4 cuboctahedra, edges with eight equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(5)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(2)Mg8Ti4 cuboctahedra, faces with four equivalent Ti(1)Mg10Ti2 cuboctahedra, and faces with six equivalent Mg(3)Mg10Ti2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Ti
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.378
_cell_length_b   8.378
_cell_length_c   5.104
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   158.621
_symmetry_Int_Tables_number   1
_cell_volume   130.590
_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  1.000  0.000  0.500  1.0
  Mg  Mg1  1  0.330  0.670  0.500  1.0
  Mg  Mg2  1  0.671  0.329  0.500  1.0
  Mg  Mg3  1  0.115  0.885  0.000  1.0
  Mg  Mg4  1  0.440  0.560  0.000  1.0
  Ti  Ti5  1  0.778  0.222  0.000  1.0
[/CIF]
.