The material described by Mg14CeTi is beta-derived structured and 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 Ce(1)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ti(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)CeMg11 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 Ti(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Ti 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 Ce(1), and two equivalent Ti(1) atoms to form distorted MgCe2Mg8Ti2 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)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Ti2 cuboctahedra, faces with two equivalent Ti(1)Ce2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Ti 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)Ce2Mg8Ti2 cuboctahedra, corners with four equivalent Ce(1)Mg10Ti2 cuboctahedra, corners with four equivalent Ti(1)Ce2Mg10 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)CeMg10Ti cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)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, and faces with eight equivalent Mg(5)CeMg10Ti 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 Ce(1), and one Ti(1) atom to form distorted MgCeMg10Ti cuboctahedra that share corners with four equivalent Mg(7)CeMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Ti cuboctahedra, corners with ten equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(7)CeMg11 cuboctahedra, edges with two equivalent Mg(6)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 Ce(1)Mg10Ti2 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Ti2 cuboctahedra,  a faceface with one Ti(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, and faces with four equivalent Mg(4)Mg12 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 Ti(1) atom to form distorted MgMg11Ti cuboctahedra that share corners with four equivalent Mg(7)CeMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Ti cuboctahedra, corners with eight equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(7)CeMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Ti(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ce(1)Mg10Ti2 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Ti 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 Ce(1) atom to form MgCeMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Ti cuboctahedra, corners with six equivalent Mg(7)CeMg11 cuboctahedra, corners with eight equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(6)Mg11Ti cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Ti(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Ti cuboctahedra. Ce(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ti(1) atoms to form CeMg10Ti2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ce(1)Mg10Ti2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ti(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, and faces with six equivalent Mg(6)Mg11Ti cuboctahedra. Ti(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms to form TiCe2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ti(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, and faces with six equivalent Mg(7)CeMg11 cuboctahedra. is represented by the CIF file [CIF]
data_CeMg14Ti
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.521
_cell_length_b   6.226
_cell_length_c   10.425
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.520
_symmetry_Int_Tables_number   1
_cell_volume   371.933
_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
  Ce  Ce0  1  0.155  0.828  0.125  1.0
  Mg  Mg1  1  0.162  0.331  0.625  1.0
  Mg  Mg2  1  0.165  0.833  0.625  1.0
  Mg  Mg3  1  0.655  0.331  0.125  1.0
  Mg  Mg4  1  0.664  0.330  0.625  1.0
  Mg  Mg5  1  0.655  0.824  0.125  1.0
  Mg  Mg6  1  0.664  0.834  0.625  1.0
  Mg  Mg7  1  0.338  0.173  0.379  1.0
  Mg  Mg8  1  0.338  0.173  0.871  1.0
  Mg  Mg9  1  0.338  0.665  0.379  1.0
  Mg  Mg10  1  0.338  0.665  0.871  1.0
  Mg  Mg11  1  0.845  0.173  0.366  1.0
  Mg  Mg12  1  0.845  0.173  0.884  1.0
  Mg  Mg13  1  0.833  0.667  0.383  1.0
  Mg  Mg14  1  0.833  0.667  0.867  1.0
  Ti  Ti15  1  0.171  0.336  0.125  1.0
[/CIF]
.
The material described by Mg14CeTi is beta-derived structured and 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 Ce(1)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ti(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)CeMg11 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 Ti(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Ti 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 Ce(1), and two equivalent Ti(1) atoms to form distorted MgCe2Mg8Ti2 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)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Ti2 cuboctahedra, faces with two equivalent Ti(1)Ce2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Ti 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)Ce2Mg8Ti2 cuboctahedra, corners with four equivalent Ce(1)Mg10Ti2 cuboctahedra, corners with four equivalent Ti(1)Ce2Mg10 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)CeMg10Ti cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)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, and faces with eight equivalent Mg(5)CeMg10Ti 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 Ce(1), and one Ti(1) atom to form distorted MgCeMg10Ti cuboctahedra that share corners with four equivalent Mg(7)CeMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Ti cuboctahedra, corners with ten equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(7)CeMg11 cuboctahedra, edges with two equivalent Mg(6)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 Ce(1)Mg10Ti2 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Ti2 cuboctahedra,  a faceface with one Ti(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, and faces with four equivalent Mg(4)Mg12 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 Ti(1) atom to form distorted MgMg11Ti cuboctahedra that share corners with four equivalent Mg(7)CeMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Ti cuboctahedra, corners with eight equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(7)CeMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Ti(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ce(1)Mg10Ti2 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Ti 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 Ce(1) atom to form MgCeMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Ti cuboctahedra, corners with six equivalent Mg(7)CeMg11 cuboctahedra, corners with eight equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(6)Mg11Ti cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Ti(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Ti cuboctahedra. Ce(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ti(1) atoms to form CeMg10Ti2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ce(1)Mg10Ti2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ti(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, and faces with six equivalent Mg(6)Mg11Ti cuboctahedra. Ti(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms to form TiCe2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ti(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, and faces with six equivalent Mg(7)CeMg11 cuboctahedra. is represented by the CIF file [CIF]
data_CeMg14Ti
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.521
_cell_length_b   6.226
_cell_length_c   10.425
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.520
_symmetry_Int_Tables_number   1
_cell_volume   371.933
_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
  Ce  Ce0  1  0.155  0.828  0.125  1.0
  Mg  Mg1  1  0.162  0.331  0.625  1.0
  Mg  Mg2  1  0.165  0.833  0.625  1.0
  Mg  Mg3  1  0.655  0.331  0.125  1.0
  Mg  Mg4  1  0.664  0.330  0.625  1.0
  Mg  Mg5  1  0.655  0.824  0.125  1.0
  Mg  Mg6  1  0.664  0.834  0.625  1.0
  Mg  Mg7  1  0.338  0.173  0.379  1.0
  Mg  Mg8  1  0.338  0.173  0.871  1.0
  Mg  Mg9  1  0.338  0.665  0.379  1.0
  Mg  Mg10  1  0.338  0.665  0.871  1.0
  Mg  Mg11  1  0.845  0.173  0.366  1.0
  Mg  Mg12  1  0.845  0.173  0.884  1.0
  Mg  Mg13  1  0.833  0.667  0.383  1.0
  Mg  Mg14  1  0.833  0.667  0.867  1.0
  Ti  Ti15  1  0.171  0.336  0.125  1.0
[/CIF]
.