The compound described by Mg7Ti crystallizes in the cubic Fm-3m space group. There are twenty-five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the fourth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the fifth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the seventh Mg site, Mg(2) is bonded to twelve Mg(1,1,1,1,1,1,1,1,1,1,1,1) atoms to form MgMg12 cuboctahedra that share corners with twelve equivalent Mg(2)Mg12 cuboctahedra; edges with twenty-four Mg(1,1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with six equivalent Ti(1)Mg12 cuboctahedra; and faces with twelve Mg(1,1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the eighth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the ninth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the tenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the eleventh Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twelfth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the thirteenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the fourteenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the fifteenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the sixteenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the seventeenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the eighteenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the nineteenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twentieth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twenty-first Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twenty-second Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twenty-third Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twenty-fourth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twenty-fifth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. Ti(1) is bonded to twelve Mg(1,1,1,1,1,1,1,1,1,1,1,1) atoms to form TiMg12 cuboctahedra that share corners with twelve equivalent Ti(1)Mg12 cuboctahedra; edges with twenty-four Mg(1,1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with six equivalent Mg(2)Mg12 cuboctahedra; and faces with twelve Mg(1,1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. is represented by the CIF card [CIF]
data_Mg7Ti
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.278
_cell_length_b   6.278
_cell_length_c   6.278
_cell_angle_alpha   60.000
_cell_angle_beta   60.000
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   175.006
_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  0.000  0.000  0.500  1.0
  Mg  Mg1  1  0.500  0.000  0.500  1.0
  Mg  Mg2  1  0.000  0.500  0.500  1.0
  Mg  Mg3  1  0.500  0.500  0.000  1.0
  Mg  Mg4  1  0.000  0.500  0.000  1.0
  Mg  Mg5  1  0.500  0.000  0.000  1.0
  Mg  Mg6  1  0.500  0.500  0.500  1.0
  Ti  Ti7  1  0.000  0.000  0.000  1.0
[/CIF]
.
The compound described by Mg7Ti crystallizes in the cubic Fm-3m space group. There are twenty-five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the third Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the fourth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the fifth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the seventh Mg site, Mg(2) is bonded to twelve Mg(1,1,1,1,1,1,1,1,1,1,1,1) atoms to form MgMg12 cuboctahedra that share corners with twelve equivalent Mg(2)Mg12 cuboctahedra; edges with twenty-four Mg(1,1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with six equivalent Ti(1)Mg12 cuboctahedra; and faces with twelve Mg(1,1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the eighth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the ninth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the tenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the eleventh Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twelfth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the thirteenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the fourteenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the fifteenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the sixteenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the seventeenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the eighteenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the nineteenth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twentieth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twenty-first Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twenty-second Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twenty-third Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twenty-fourth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. In the twenty-fifth Mg site, Mg(1) is bonded to two equivalent Mg(2); eight Mg(1,1,1,1,1,1,1,1); and two equivalent Ti(1) atoms to form MgMg10Ti2 cuboctahedra that share corners with twelve Mg(1,1,1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Ti(1)Mg12 cuboctahedra; edges with sixteen Mg(1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg12 cuboctahedra; and faces with fourteen Mg(1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. Ti(1) is bonded to twelve Mg(1,1,1,1,1,1,1,1,1,1,1,1) atoms to form TiMg12 cuboctahedra that share corners with twelve equivalent Ti(1)Mg12 cuboctahedra; edges with twenty-four Mg(1,1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra; faces with six equivalent Mg(2)Mg12 cuboctahedra; and faces with twelve Mg(1,1,1,1,1,1,1,1,1,1,1,1)Mg10Ti2 cuboctahedra. is represented by the CIF card [CIF]
data_Mg7Ti
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.278
_cell_length_b   6.278
_cell_length_c   6.278
_cell_angle_alpha   60.000
_cell_angle_beta   60.000
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   175.006
_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  0.000  0.000  0.500  1.0
  Mg  Mg1  1  0.500  0.000  0.500  1.0
  Mg  Mg2  1  0.000  0.500  0.500  1.0
  Mg  Mg3  1  0.500  0.500  0.000  1.0
  Mg  Mg4  1  0.000  0.500  0.000  1.0
  Mg  Mg5  1  0.500  0.000  0.000  1.0
  Mg  Mg6  1  0.500  0.500  0.500  1.0
  Ti  Ti7  1  0.000  0.000  0.000  1.0
[/CIF]
.