The structure described by MgTi2 is beta-derived structured and crystallizes in the monoclinic P2_1/m space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Mg(2), one Mg(3), two equivalent Mg(4), one Ti(2), one Ti(4), three equivalent Ti(6), and three equivalent Ti(7) atoms to form distorted MgMg4Ti8 cuboctahedra that share  a cornercorner with one Mg(4)Mg6Ti6 cuboctahedra,  a cornercorner with one Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(1)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(7)Mg5Ti7 cuboctahedra, corners with three equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(6)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(4)Mg6Ti6 cuboctahedra,  an edgeedge with one Ti(3)Mg2Ti10 cuboctahedra,  an edgeedge with one Ti(4)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(5)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(7)Mg5Ti7 cuboctahedra, edges with two equivalent Mg(3)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(1)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(2)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(8)Mg5Ti7 cuboctahedra, edges with four equivalent Mg(1)Mg4Ti8 cuboctahedra,  a faceface with one Mg(2)Mg4Ti8 cuboctahedra,  a faceface with one Mg(3)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(1)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with two equivalent Ti(5)Mg3Ti9 cuboctahedra, faces with three equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with three equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(6)Mg4Ti8 cuboctahedra, and faces with three equivalent Ti(7)Mg5Ti7 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Mg(1), one Mg(3), two equivalent Mg(4), one Ti(1), one Ti(3), one Ti(4), two equivalent Ti(5), and three equivalent Ti(8) atoms to form distorted MgMg4Ti8 cuboctahedra that share  a cornercorner with one Ti(5)Mg3Ti9 cuboctahedra,  a cornercorner with one Ti(7)Mg5Ti7 cuboctahedra, corners with two equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Ti(1)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(2)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with three equivalent Ti(8)Mg5Ti7 cuboctahedra,  an edgeedge with one Mg(4)Mg6Ti6 cuboctahedra,  an edgeedge with one Ti(3)Mg2Ti10 cuboctahedra,  an edgeedge with one Ti(5)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(6)Mg4Ti8 cuboctahedra, edges with two equivalent Mg(2)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(1)Mg4Ti8 cuboctahedra, edges with three equivalent Mg(3)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(7)Mg5Ti7 cuboctahedra, edges with four equivalent Ti(2)Mg4Ti8 cuboctahedra,  a faceface with one Mg(1)Mg4Ti8 cuboctahedra,  a faceface with one Mg(3)Mg4Ti8 cuboctahedra,  a faceface with one Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with two equivalent Ti(5)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(6)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(3)Mg2Ti10 cuboctahedra, faces with three equivalent Ti(1)Mg4Ti8 cuboctahedra, and faces with three equivalent Ti(8)Mg5Ti7 cuboctahedra. In the third Mg site, Mg(3) is bonded to one Mg(1), one Mg(2), two equivalent Mg(4), one Ti(3), one Ti(4), one Ti(7), one Ti(8), two equivalent Ti(1), and two equivalent Ti(2) atoms to form distorted MgMg4Ti8 cuboctahedra that share  a cornercorner with one Ti(1)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(6)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(4)Mg6Ti6 cuboctahedra, corners with two equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(7)Mg5Ti7 cuboctahedra, corners with two equivalent Ti(8)Mg5Ti7 cuboctahedra, corners with three equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(3)Mg2Ti10 cuboctahedra,  an edgeedge with one Ti(4)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(2)Mg4Ti8 cuboctahedra, edges with two equivalent Mg(1)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(3)Mg2Ti10 cuboctahedra, edges with three equivalent Mg(2)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(5)Mg3Ti9 cuboctahedra, edges with five equivalent Ti(6)Mg4Ti8 cuboctahedra,  a faceface with one Mg(1)Mg4Ti8 cuboctahedra,  a faceface with one Mg(2)Mg4Ti8 cuboctahedra,  a faceface with one Ti(3)Mg2Ti10 cuboctahedra,  a faceface with one Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with two equivalent Ti(5)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(1)Mg4Ti8 cuboctahedra, faces with two equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(7)Mg5Ti7 cuboctahedra, and faces with three equivalent Ti(8)Mg5Ti7 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), one Ti(1), one Ti(2), one Ti(5), one Ti(6), one Ti(7), and one Ti(8) atom to form MgMg6Ti6 cuboctahedra that share  a cornercorner with one Mg(1)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(5)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(7)Mg5Ti7 cuboctahedra, corners with two equivalent Ti(8)Mg5Ti7 cuboctahedra, corners with three equivalent Ti(1)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(6)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(5)Mg3Ti9 cuboctahedra, edges with two equivalent Ti(1)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(6)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(4)Mg3Ti9 cuboctahedra, edges with three equivalent Ti(2)Mg4Ti8 cuboctahedra, edges with five equivalent Ti(3)Mg2Ti10 cuboctahedra,  a faceface with one Ti(5)Mg3Ti9 cuboctahedra,  a faceface with one Ti(1)Mg4Ti8 cuboctahedra,  a faceface with one Ti(2)Mg4Ti8 cuboctahedra,  a faceface with one Ti(6)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(1)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with two equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with three equivalent Ti(7)Mg5Ti7 cuboctahedra, and faces with three equivalent Ti(8)Mg5Ti7 cuboctahedra. There are eight inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one Mg(2), one Mg(4), two equivalent Mg(3), one Ti(2), one Ti(5), three equivalent Ti(3), and three equivalent Ti(8) atoms to form distorted TiMg4Ti8 cuboctahedra that share  a cornercorner with one Mg(3)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(6)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(5)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(8)Mg5Ti7 cuboctahedra, corners with three equivalent Mg(4)Mg6Ti6 cuboctahedra, corners with three equivalent Ti(3)Mg2Ti10 cuboctahedra,  an edgeedge with one Mg(3)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(4)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(5)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(6)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(8)Mg5Ti7 cuboctahedra, edges with two equivalent Mg(1)Mg4Ti8 cuboctahedra, edges with two equivalent Mg(2)Mg4Ti8 cuboctahedra, edges with two equivalent Mg(4)Mg6Ti6 cuboctahedra, edges with three equivalent Ti(7)Mg5Ti7 cuboctahedra, edges with four equivalent Ti(1)Mg4Ti8 cuboctahedra,  a faceface with one Mg(4)Mg6Ti6 cuboctahedra,  a faceface with one Ti(2)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with two equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(1)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(3)Mg2Ti10 cuboctahedra, faces with three equivalent Ti(5)Mg3Ti9 cuboctahedra, and faces with three equivalent Ti(8)Mg5Ti7 cuboctahedra. In the second Ti site, Ti(2) is bonded to one Mg(1), one Mg(4), two equivalent Mg(3), one Ti(1), one Ti(5), one Ti(6), two equivalent Ti(4), and three equivalent Ti(7) atoms to form distorted TiMg4Ti8 cuboctahedra that share  a cornercorner with one Ti(4)Mg3Ti9 cuboctahedra,  a cornercorner with one Ti(8)Mg5Ti7 cuboctahedra, corners with two equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(4)Mg6Ti6 cuboctahedra, corners with two equivalent Ti(1)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(6)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(5)Mg3Ti9 cuboctahedra, corners with three equivalent Ti(7)Mg5Ti7 cuboctahedra,  an edgeedge with one Mg(3)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(3)Mg2Ti10 cuboctahedra,  an edgeedge with one Ti(4)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(6)Mg4Ti8 cuboctahedra, edges with two equivalent Mg(1)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(2)Mg4Ti8 cuboctahedra, edges with three equivalent Mg(4)Mg6Ti6 cuboctahedra, edges with three equivalent Ti(8)Mg5Ti7 cuboctahedra, edges with four equivalent Mg(2)Mg4Ti8 cuboctahedra,  a faceface with one Mg(4)Mg6Ti6 cuboctahedra,  a faceface with one Ti(5)Mg3Ti9 cuboctahedra,  a faceface with one Ti(1)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with two equivalent Ti(3)Mg2Ti10 cuboctahedra, faces with two equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(1)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(6)Mg4Ti8 cuboctahedra, and faces with three equivalent Ti(7)Mg5Ti7 cuboctahedra. In the third Ti site, Ti(3) is bonded to one Mg(2), one Mg(3), one Ti(4), one Ti(8), two equivalent Ti(3), three equivalent Ti(1), and three equivalent Ti(5) atoms to form distorted TiMg2Ti10 cuboctahedra that share  a cornercorner with one Mg(1)Mg4Ti8 cuboctahedra,  a cornercorner with one Mg(4)Mg6Ti6 cuboctahedra, corners with two equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(5)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(6)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(8)Mg5Ti7 cuboctahedra, corners with three equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(7)Mg5Ti7 cuboctahedra, edges with two equivalent Mg(3)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(4)Mg3Ti9 cuboctahedra, edges with two equivalent Ti(6)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(8)Mg5Ti7 cuboctahedra, edges with five equivalent Mg(4)Mg6Ti6 cuboctahedra,  a faceface with one Mg(3)Mg4Ti8 cuboctahedra,  a faceface with one Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(5)Mg3Ti9 cuboctahedra, faces with three equivalent Ti(1)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(8)Mg5Ti7 cuboctahedra, and faces with four equivalent Ti(3)Mg2Ti10 cuboctahedra. In the fourth Ti site, Ti(4) is bonded to one Mg(1), one Mg(2), one Mg(3), one Ti(3), one Ti(7), two equivalent Ti(2), two equivalent Ti(5), and three equivalent Ti(6) atoms to form distorted TiMg3Ti9 cuboctahedra that share  a cornercorner with one Ti(2)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(8)Mg5Ti7 cuboctahedra, corners with two equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Ti(5)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(6)Mg4Ti8 cuboctahedra, corners with three equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(7)Mg5Ti7 cuboctahedra,  an edgeedge with one Mg(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(3)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(2)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(3)Mg2Ti10 cuboctahedra, edges with two equivalent Ti(4)Mg3Ti9 cuboctahedra, edges with three equivalent Mg(4)Mg6Ti6 cuboctahedra, edges with three equivalent Ti(8)Mg5Ti7 cuboctahedra, edges with four equivalent Ti(7)Mg5Ti7 cuboctahedra,  a faceface with one Mg(2)Mg4Ti8 cuboctahedra,  a faceface with one Mg(3)Mg4Ti8 cuboctahedra,  a faceface with one Ti(3)Mg2Ti10 cuboctahedra,  a faceface with one Ti(7)Mg5Ti7 cuboctahedra, faces with two equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with two equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(5)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(1)Mg4Ti8 cuboctahedra, faces with two equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(1)Mg4Ti8 cuboctahedra, and faces with three equivalent Ti(6)Mg4Ti8 cuboctahedra. In the fifth Ti site, Ti(5) is bonded to one Mg(4), two equivalent Mg(2), one Ti(1), one Ti(2), one Ti(6), one Ti(8), two equivalent Ti(4), and three equivalent Ti(3) atoms to form distorted TiMg3Ti9 cuboctahedra that share  a cornercorner with one Mg(2)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(7)Mg5Ti7 cuboctahedra, corners with two equivalent Mg(4)Mg6Ti6 cuboctahedra, corners with two equivalent Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(1)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(6)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(2)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(8)Mg5Ti7 cuboctahedra,  an edgeedge with one Mg(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(4)Mg6Ti6 cuboctahedra,  an edgeedge with one Ti(1)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(5)Mg3Ti9 cuboctahedra, edges with two equivalent Ti(6)Mg4Ti8 cuboctahedra, edges with three equivalent Mg(3)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(7)Mg5Ti7 cuboctahedra, edges with four equivalent Ti(8)Mg5Ti7 cuboctahedra,  a faceface with one Mg(4)Mg6Ti6 cuboctahedra,  a faceface with one Ti(2)Mg4Ti8 cuboctahedra,  a faceface with one Ti(6)Mg4Ti8 cuboctahedra,  a faceface with one Ti(8)Mg5Ti7 cuboctahedra, faces with two equivalent Mg(1)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with two equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(5)Mg3Ti9 cuboctahedra, faces with three equivalent Ti(3)Mg2Ti10 cuboctahedra, and faces with three equivalent Ti(1)Mg4Ti8 cuboctahedra. In the sixth Ti site, Ti(6) is bonded to one Mg(4), three equivalent Mg(1), one Ti(2), one Ti(5), one Ti(7), two equivalent Ti(6), and three equivalent Ti(4) atoms to form distorted TiMg4Ti8 cuboctahedra that share  a cornercorner with one Mg(3)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(1)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(5)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(7)Mg5Ti7 cuboctahedra, corners with three equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with three equivalent Mg(4)Mg6Ti6 cuboctahedra,  an edgeedge with one Mg(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(8)Mg5Ti7 cuboctahedra, edges with two equivalent Mg(4)Mg6Ti6 cuboctahedra, edges with two equivalent Ti(3)Mg2Ti10 cuboctahedra, edges with two equivalent Ti(5)Mg3Ti9 cuboctahedra, edges with three equivalent Ti(7)Mg5Ti7 cuboctahedra, edges with five equivalent Mg(3)Mg4Ti8 cuboctahedra,  a faceface with one Mg(4)Mg6Ti6 cuboctahedra,  a faceface with one Ti(5)Mg3Ti9 cuboctahedra, faces with two equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(1)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with three equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(7)Mg5Ti7 cuboctahedra, and faces with four equivalent Ti(6)Mg4Ti8 cuboctahedra. In the seventh Ti site, Ti(7) is bonded to one Mg(3), one Mg(4), three equivalent Mg(1), one Ti(4), one Ti(6), two equivalent Ti(7), and three equivalent Ti(2) atoms to form distorted TiMg5Ti7 cuboctahedra that share  a cornercorner with one Mg(2)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(5)Mg3Ti9 cuboctahedra, corners with two equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(4)Mg6Ti6 cuboctahedra, corners with two equivalent Ti(6)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(8)Mg5Ti7 cuboctahedra, corners with three equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with three equivalent Ti(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(3)Mg2Ti10 cuboctahedra, edges with three equivalent Mg(2)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(5)Mg3Ti9 cuboctahedra, edges with three equivalent Ti(1)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(6)Mg4Ti8 cuboctahedra, edges with four equivalent Ti(4)Mg3Ti9 cuboctahedra,  a faceface with one Ti(4)Mg3Ti9 cuboctahedra, faces with three equivalent Mg(1)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with three equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(6)Mg4Ti8 cuboctahedra, and faces with four equivalent Ti(7)Mg5Ti7 cuboctahedra. In the eighth Ti site, Ti(8) is bonded to one Mg(3), one Mg(4), three equivalent Mg(2), one Ti(3), one Ti(5), two equivalent Ti(8), and three equivalent Ti(1) atoms to form distorted TiMg5Ti7 cuboctahedra that share  a cornercorner with one Ti(4)Mg3Ti9 cuboctahedra,  a cornercorner with one Ti(2)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(4)Mg6Ti6 cuboctahedra, corners with two equivalent Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Ti(1)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(7)Mg5Ti7 cuboctahedra, corners with three equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(5)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(6)Mg4Ti8 cuboctahedra, edges with three equivalent Mg(1)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(3)Mg2Ti10 cuboctahedra, edges with three equivalent Ti(4)Mg3Ti9 cuboctahedra, edges with three equivalent Ti(2)Mg4Ti8 cuboctahedra, edges with four equivalent Ti(5)Mg3Ti9 cuboctahedra,  a faceface with one Ti(5)Mg3Ti9 cuboctahedra, faces with three equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with three equivalent Ti(3)Mg2Ti10 cuboctahedra, faces with three equivalent Ti(1)Mg4Ti8 cuboctahedra, and faces with four equivalent Ti(8)Mg5Ti7 cuboctahedra. is represented by the CIF card [CIF]
data_MgTi2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.703
_cell_length_b   7.974
_cell_length_c   12.111
_cell_angle_alpha   79.157
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   446.137
_cell_formula_units_Z   8
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  0.250  0.274  0.907  1.0
  Mg  Mg1  1  0.250  0.272  0.650  1.0
  Mg  Mg2  1  0.750  0.726  0.093  1.0
  Mg  Mg3  1  0.750  0.728  0.350  1.0
  Mg  Mg4  1  0.250  0.621  0.734  1.0
  Mg  Mg5  1  0.250  0.609  0.236  1.0
  Mg  Mg6  1  0.750  0.379  0.266  1.0
  Mg  Mg7  1  0.750  0.391  0.764  1.0
  Ti  Ti8  1  0.250  0.263  0.409  1.0
  Ti  Ti9  1  0.250  0.260  0.151  1.0
  Ti  Ti10  1  0.750  0.055  0.435  1.0
  Ti  Ti11  1  0.750  0.064  0.179  1.0
  Ti  Ti12  1  0.750  0.042  0.679  1.0
  Ti  Ti13  1  0.750  0.046  0.931  1.0
  Ti  Ti14  1  0.250  0.945  0.565  1.0
  Ti  Ti15  1  0.250  0.958  0.321  1.0
  Ti  Ti16  1  0.250  0.936  0.821  1.0
  Ti  Ti17  1  0.250  0.954  0.069  1.0
  Ti  Ti18  1  0.750  0.740  0.849  1.0
  Ti  Ti19  1  0.750  0.737  0.591  1.0
  Ti  Ti20  1  0.250  0.614  0.983  1.0
  Ti  Ti21  1  0.250  0.610  0.489  1.0
  Ti  Ti22  1  0.750  0.386  0.017  1.0
  Ti  Ti23  1  0.750  0.390  0.511  1.0
[/CIF]
.
The structure described by MgTi2 is beta-derived structured and crystallizes in the monoclinic P2_1/m space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Mg(2), one Mg(3), two equivalent Mg(4), one Ti(2), one Ti(4), three equivalent Ti(6), and three equivalent Ti(7) atoms to form distorted MgMg4Ti8 cuboctahedra that share  a cornercorner with one Mg(4)Mg6Ti6 cuboctahedra,  a cornercorner with one Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(1)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(7)Mg5Ti7 cuboctahedra, corners with three equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(6)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(4)Mg6Ti6 cuboctahedra,  an edgeedge with one Ti(3)Mg2Ti10 cuboctahedra,  an edgeedge with one Ti(4)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(5)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(7)Mg5Ti7 cuboctahedra, edges with two equivalent Mg(3)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(1)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(2)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(8)Mg5Ti7 cuboctahedra, edges with four equivalent Mg(1)Mg4Ti8 cuboctahedra,  a faceface with one Mg(2)Mg4Ti8 cuboctahedra,  a faceface with one Mg(3)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(1)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with two equivalent Ti(5)Mg3Ti9 cuboctahedra, faces with three equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with three equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(6)Mg4Ti8 cuboctahedra, and faces with three equivalent Ti(7)Mg5Ti7 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Mg(1), one Mg(3), two equivalent Mg(4), one Ti(1), one Ti(3), one Ti(4), two equivalent Ti(5), and three equivalent Ti(8) atoms to form distorted MgMg4Ti8 cuboctahedra that share  a cornercorner with one Ti(5)Mg3Ti9 cuboctahedra,  a cornercorner with one Ti(7)Mg5Ti7 cuboctahedra, corners with two equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Ti(1)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(2)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with three equivalent Ti(8)Mg5Ti7 cuboctahedra,  an edgeedge with one Mg(4)Mg6Ti6 cuboctahedra,  an edgeedge with one Ti(3)Mg2Ti10 cuboctahedra,  an edgeedge with one Ti(5)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(6)Mg4Ti8 cuboctahedra, edges with two equivalent Mg(2)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(1)Mg4Ti8 cuboctahedra, edges with three equivalent Mg(3)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(7)Mg5Ti7 cuboctahedra, edges with four equivalent Ti(2)Mg4Ti8 cuboctahedra,  a faceface with one Mg(1)Mg4Ti8 cuboctahedra,  a faceface with one Mg(3)Mg4Ti8 cuboctahedra,  a faceface with one Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with two equivalent Ti(5)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(6)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(3)Mg2Ti10 cuboctahedra, faces with three equivalent Ti(1)Mg4Ti8 cuboctahedra, and faces with three equivalent Ti(8)Mg5Ti7 cuboctahedra. In the third Mg site, Mg(3) is bonded to one Mg(1), one Mg(2), two equivalent Mg(4), one Ti(3), one Ti(4), one Ti(7), one Ti(8), two equivalent Ti(1), and two equivalent Ti(2) atoms to form distorted MgMg4Ti8 cuboctahedra that share  a cornercorner with one Ti(1)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(6)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(4)Mg6Ti6 cuboctahedra, corners with two equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(7)Mg5Ti7 cuboctahedra, corners with two equivalent Ti(8)Mg5Ti7 cuboctahedra, corners with three equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(3)Mg2Ti10 cuboctahedra,  an edgeedge with one Ti(4)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(2)Mg4Ti8 cuboctahedra, edges with two equivalent Mg(1)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(3)Mg2Ti10 cuboctahedra, edges with three equivalent Mg(2)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(5)Mg3Ti9 cuboctahedra, edges with five equivalent Ti(6)Mg4Ti8 cuboctahedra,  a faceface with one Mg(1)Mg4Ti8 cuboctahedra,  a faceface with one Mg(2)Mg4Ti8 cuboctahedra,  a faceface with one Ti(3)Mg2Ti10 cuboctahedra,  a faceface with one Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with two equivalent Ti(5)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(1)Mg4Ti8 cuboctahedra, faces with two equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(7)Mg5Ti7 cuboctahedra, and faces with three equivalent Ti(8)Mg5Ti7 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), one Ti(1), one Ti(2), one Ti(5), one Ti(6), one Ti(7), and one Ti(8) atom to form MgMg6Ti6 cuboctahedra that share  a cornercorner with one Mg(1)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(5)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(7)Mg5Ti7 cuboctahedra, corners with two equivalent Ti(8)Mg5Ti7 cuboctahedra, corners with three equivalent Ti(1)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(6)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(5)Mg3Ti9 cuboctahedra, edges with two equivalent Ti(1)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(6)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(4)Mg3Ti9 cuboctahedra, edges with three equivalent Ti(2)Mg4Ti8 cuboctahedra, edges with five equivalent Ti(3)Mg2Ti10 cuboctahedra,  a faceface with one Ti(5)Mg3Ti9 cuboctahedra,  a faceface with one Ti(1)Mg4Ti8 cuboctahedra,  a faceface with one Ti(2)Mg4Ti8 cuboctahedra,  a faceface with one Ti(6)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(1)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with two equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with three equivalent Ti(7)Mg5Ti7 cuboctahedra, and faces with three equivalent Ti(8)Mg5Ti7 cuboctahedra. There are eight inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one Mg(2), one Mg(4), two equivalent Mg(3), one Ti(2), one Ti(5), three equivalent Ti(3), and three equivalent Ti(8) atoms to form distorted TiMg4Ti8 cuboctahedra that share  a cornercorner with one Mg(3)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(6)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(5)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(8)Mg5Ti7 cuboctahedra, corners with three equivalent Mg(4)Mg6Ti6 cuboctahedra, corners with three equivalent Ti(3)Mg2Ti10 cuboctahedra,  an edgeedge with one Mg(3)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(4)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(5)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(6)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(8)Mg5Ti7 cuboctahedra, edges with two equivalent Mg(1)Mg4Ti8 cuboctahedra, edges with two equivalent Mg(2)Mg4Ti8 cuboctahedra, edges with two equivalent Mg(4)Mg6Ti6 cuboctahedra, edges with three equivalent Ti(7)Mg5Ti7 cuboctahedra, edges with four equivalent Ti(1)Mg4Ti8 cuboctahedra,  a faceface with one Mg(4)Mg6Ti6 cuboctahedra,  a faceface with one Ti(2)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with two equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(1)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(3)Mg2Ti10 cuboctahedra, faces with three equivalent Ti(5)Mg3Ti9 cuboctahedra, and faces with three equivalent Ti(8)Mg5Ti7 cuboctahedra. In the second Ti site, Ti(2) is bonded to one Mg(1), one Mg(4), two equivalent Mg(3), one Ti(1), one Ti(5), one Ti(6), two equivalent Ti(4), and three equivalent Ti(7) atoms to form distorted TiMg4Ti8 cuboctahedra that share  a cornercorner with one Ti(4)Mg3Ti9 cuboctahedra,  a cornercorner with one Ti(8)Mg5Ti7 cuboctahedra, corners with two equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(4)Mg6Ti6 cuboctahedra, corners with two equivalent Ti(1)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(6)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(5)Mg3Ti9 cuboctahedra, corners with three equivalent Ti(7)Mg5Ti7 cuboctahedra,  an edgeedge with one Mg(3)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(3)Mg2Ti10 cuboctahedra,  an edgeedge with one Ti(4)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(6)Mg4Ti8 cuboctahedra, edges with two equivalent Mg(1)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(2)Mg4Ti8 cuboctahedra, edges with three equivalent Mg(4)Mg6Ti6 cuboctahedra, edges with three equivalent Ti(8)Mg5Ti7 cuboctahedra, edges with four equivalent Mg(2)Mg4Ti8 cuboctahedra,  a faceface with one Mg(4)Mg6Ti6 cuboctahedra,  a faceface with one Ti(5)Mg3Ti9 cuboctahedra,  a faceface with one Ti(1)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with two equivalent Ti(3)Mg2Ti10 cuboctahedra, faces with two equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(1)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(6)Mg4Ti8 cuboctahedra, and faces with three equivalent Ti(7)Mg5Ti7 cuboctahedra. In the third Ti site, Ti(3) is bonded to one Mg(2), one Mg(3), one Ti(4), one Ti(8), two equivalent Ti(3), three equivalent Ti(1), and three equivalent Ti(5) atoms to form distorted TiMg2Ti10 cuboctahedra that share  a cornercorner with one Mg(1)Mg4Ti8 cuboctahedra,  a cornercorner with one Mg(4)Mg6Ti6 cuboctahedra, corners with two equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(5)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(6)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(8)Mg5Ti7 cuboctahedra, corners with three equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(7)Mg5Ti7 cuboctahedra, edges with two equivalent Mg(3)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(4)Mg3Ti9 cuboctahedra, edges with two equivalent Ti(6)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(8)Mg5Ti7 cuboctahedra, edges with five equivalent Mg(4)Mg6Ti6 cuboctahedra,  a faceface with one Mg(3)Mg4Ti8 cuboctahedra,  a faceface with one Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(5)Mg3Ti9 cuboctahedra, faces with three equivalent Ti(1)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(8)Mg5Ti7 cuboctahedra, and faces with four equivalent Ti(3)Mg2Ti10 cuboctahedra. In the fourth Ti site, Ti(4) is bonded to one Mg(1), one Mg(2), one Mg(3), one Ti(3), one Ti(7), two equivalent Ti(2), two equivalent Ti(5), and three equivalent Ti(6) atoms to form distorted TiMg3Ti9 cuboctahedra that share  a cornercorner with one Ti(2)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(8)Mg5Ti7 cuboctahedra, corners with two equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Ti(5)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(6)Mg4Ti8 cuboctahedra, corners with three equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(7)Mg5Ti7 cuboctahedra,  an edgeedge with one Mg(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(3)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(2)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(3)Mg2Ti10 cuboctahedra, edges with two equivalent Ti(4)Mg3Ti9 cuboctahedra, edges with three equivalent Mg(4)Mg6Ti6 cuboctahedra, edges with three equivalent Ti(8)Mg5Ti7 cuboctahedra, edges with four equivalent Ti(7)Mg5Ti7 cuboctahedra,  a faceface with one Mg(2)Mg4Ti8 cuboctahedra,  a faceface with one Mg(3)Mg4Ti8 cuboctahedra,  a faceface with one Ti(3)Mg2Ti10 cuboctahedra,  a faceface with one Ti(7)Mg5Ti7 cuboctahedra, faces with two equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with two equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(5)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(1)Mg4Ti8 cuboctahedra, faces with two equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(1)Mg4Ti8 cuboctahedra, and faces with three equivalent Ti(6)Mg4Ti8 cuboctahedra. In the fifth Ti site, Ti(5) is bonded to one Mg(4), two equivalent Mg(2), one Ti(1), one Ti(2), one Ti(6), one Ti(8), two equivalent Ti(4), and three equivalent Ti(3) atoms to form distorted TiMg3Ti9 cuboctahedra that share  a cornercorner with one Mg(2)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(7)Mg5Ti7 cuboctahedra, corners with two equivalent Mg(4)Mg6Ti6 cuboctahedra, corners with two equivalent Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(1)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(6)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(2)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(8)Mg5Ti7 cuboctahedra,  an edgeedge with one Mg(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(4)Mg6Ti6 cuboctahedra,  an edgeedge with one Ti(1)Mg4Ti8 cuboctahedra, edges with two equivalent Ti(5)Mg3Ti9 cuboctahedra, edges with two equivalent Ti(6)Mg4Ti8 cuboctahedra, edges with three equivalent Mg(3)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(7)Mg5Ti7 cuboctahedra, edges with four equivalent Ti(8)Mg5Ti7 cuboctahedra,  a faceface with one Mg(4)Mg6Ti6 cuboctahedra,  a faceface with one Ti(2)Mg4Ti8 cuboctahedra,  a faceface with one Ti(6)Mg4Ti8 cuboctahedra,  a faceface with one Ti(8)Mg5Ti7 cuboctahedra, faces with two equivalent Mg(1)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with two equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with two equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with two equivalent Ti(5)Mg3Ti9 cuboctahedra, faces with three equivalent Ti(3)Mg2Ti10 cuboctahedra, and faces with three equivalent Ti(1)Mg4Ti8 cuboctahedra. In the sixth Ti site, Ti(6) is bonded to one Mg(4), three equivalent Mg(1), one Ti(2), one Ti(5), one Ti(7), two equivalent Ti(6), and three equivalent Ti(4) atoms to form distorted TiMg4Ti8 cuboctahedra that share  a cornercorner with one Mg(3)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(1)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(5)Mg3Ti9 cuboctahedra, corners with two equivalent Ti(2)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(7)Mg5Ti7 cuboctahedra, corners with three equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with three equivalent Mg(4)Mg6Ti6 cuboctahedra,  an edgeedge with one Mg(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(8)Mg5Ti7 cuboctahedra, edges with two equivalent Mg(4)Mg6Ti6 cuboctahedra, edges with two equivalent Ti(3)Mg2Ti10 cuboctahedra, edges with two equivalent Ti(5)Mg3Ti9 cuboctahedra, edges with three equivalent Ti(7)Mg5Ti7 cuboctahedra, edges with five equivalent Mg(3)Mg4Ti8 cuboctahedra,  a faceface with one Mg(4)Mg6Ti6 cuboctahedra,  a faceface with one Ti(5)Mg3Ti9 cuboctahedra, faces with two equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(1)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(4)Mg3Ti9 cuboctahedra, faces with three equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(7)Mg5Ti7 cuboctahedra, and faces with four equivalent Ti(6)Mg4Ti8 cuboctahedra. In the seventh Ti site, Ti(7) is bonded to one Mg(3), one Mg(4), three equivalent Mg(1), one Ti(4), one Ti(6), two equivalent Ti(7), and three equivalent Ti(2) atoms to form distorted TiMg5Ti7 cuboctahedra that share  a cornercorner with one Mg(2)Mg4Ti8 cuboctahedra,  a cornercorner with one Ti(5)Mg3Ti9 cuboctahedra, corners with two equivalent Mg(1)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(4)Mg6Ti6 cuboctahedra, corners with two equivalent Ti(6)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(8)Mg5Ti7 cuboctahedra, corners with three equivalent Ti(4)Mg3Ti9 cuboctahedra, corners with three equivalent Ti(2)Mg4Ti8 cuboctahedra,  an edgeedge with one Mg(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(3)Mg2Ti10 cuboctahedra, edges with three equivalent Mg(2)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(5)Mg3Ti9 cuboctahedra, edges with three equivalent Ti(1)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(6)Mg4Ti8 cuboctahedra, edges with four equivalent Ti(4)Mg3Ti9 cuboctahedra,  a faceface with one Ti(4)Mg3Ti9 cuboctahedra, faces with three equivalent Mg(1)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with three equivalent Ti(2)Mg4Ti8 cuboctahedra, faces with three equivalent Ti(6)Mg4Ti8 cuboctahedra, and faces with four equivalent Ti(7)Mg5Ti7 cuboctahedra. In the eighth Ti site, Ti(8) is bonded to one Mg(3), one Mg(4), three equivalent Mg(2), one Ti(3), one Ti(5), two equivalent Ti(8), and three equivalent Ti(1) atoms to form distorted TiMg5Ti7 cuboctahedra that share  a cornercorner with one Ti(4)Mg3Ti9 cuboctahedra,  a cornercorner with one Ti(2)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(3)Mg4Ti8 cuboctahedra, corners with two equivalent Mg(4)Mg6Ti6 cuboctahedra, corners with two equivalent Ti(3)Mg2Ti10 cuboctahedra, corners with two equivalent Ti(1)Mg4Ti8 cuboctahedra, corners with two equivalent Ti(7)Mg5Ti7 cuboctahedra, corners with three equivalent Mg(2)Mg4Ti8 cuboctahedra, corners with three equivalent Ti(5)Mg3Ti9 cuboctahedra,  an edgeedge with one Ti(1)Mg4Ti8 cuboctahedra,  an edgeedge with one Ti(6)Mg4Ti8 cuboctahedra, edges with three equivalent Mg(1)Mg4Ti8 cuboctahedra, edges with three equivalent Ti(3)Mg2Ti10 cuboctahedra, edges with three equivalent Ti(4)Mg3Ti9 cuboctahedra, edges with three equivalent Ti(2)Mg4Ti8 cuboctahedra, edges with four equivalent Ti(5)Mg3Ti9 cuboctahedra,  a faceface with one Ti(5)Mg3Ti9 cuboctahedra, faces with three equivalent Mg(2)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(3)Mg4Ti8 cuboctahedra, faces with three equivalent Mg(4)Mg6Ti6 cuboctahedra, faces with three equivalent Ti(3)Mg2Ti10 cuboctahedra, faces with three equivalent Ti(1)Mg4Ti8 cuboctahedra, and faces with four equivalent Ti(8)Mg5Ti7 cuboctahedra. is represented by the CIF card [CIF]
data_MgTi2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.703
_cell_length_b   7.974
_cell_length_c   12.111
_cell_angle_alpha   79.157
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   446.137
_cell_formula_units_Z   8
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  0.250  0.274  0.907  1.0
  Mg  Mg1  1  0.250  0.272  0.650  1.0
  Mg  Mg2  1  0.750  0.726  0.093  1.0
  Mg  Mg3  1  0.750  0.728  0.350  1.0
  Mg  Mg4  1  0.250  0.621  0.734  1.0
  Mg  Mg5  1  0.250  0.609  0.236  1.0
  Mg  Mg6  1  0.750  0.379  0.266  1.0
  Mg  Mg7  1  0.750  0.391  0.764  1.0
  Ti  Ti8  1  0.250  0.263  0.409  1.0
  Ti  Ti9  1  0.250  0.260  0.151  1.0
  Ti  Ti10  1  0.750  0.055  0.435  1.0
  Ti  Ti11  1  0.750  0.064  0.179  1.0
  Ti  Ti12  1  0.750  0.042  0.679  1.0
  Ti  Ti13  1  0.750  0.046  0.931  1.0
  Ti  Ti14  1  0.250  0.945  0.565  1.0
  Ti  Ti15  1  0.250  0.958  0.321  1.0
  Ti  Ti16  1  0.250  0.936  0.821  1.0
  Ti  Ti17  1  0.250  0.954  0.069  1.0
  Ti  Ti18  1  0.750  0.740  0.849  1.0
  Ti  Ti19  1  0.750  0.737  0.591  1.0
  Ti  Ti20  1  0.250  0.614  0.983  1.0
  Ti  Ti21  1  0.250  0.610  0.489  1.0
  Ti  Ti22  1  0.750  0.386  0.017  1.0
  Ti  Ti23  1  0.750  0.390  0.511  1.0
[/CIF]
.