The material described by Mg14TiBi crystallizes in the orthorhombic Amm2 space group. There are ten 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 Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Bi(1)Mg10Ti2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3)Mg8Ti2Bi2 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 Mg(5,5)Mg10TiBi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg10Bi2 cuboctahedra; faces with four Mg(5,5)Mg10TiBi cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Bi 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 Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ti(1)Mg10Bi2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10TiBi cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Bi(1)Mg10Ti2 cuboctahedra; faces with four Mg(5,5)Mg10TiBi 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 Ti(1), and two equivalent Bi(1) atoms to form distorted MgMg8Ti2Bi2 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)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra; edges with four Mg(5,5)Mg10TiBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; faces with two equivalent Ti(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Ti2 cuboctahedra; and faces with eight Mg(5,5)Mg10TiBi 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)Mg8Ti2Bi2 cuboctahedra; corners with four equivalent Ti(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10Ti2 cuboctahedra; corners with six equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(5,5)Mg10TiBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(7)Mg11Bi 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; faces with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; and faces with eight Mg(5,5)Mg10TiBi cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); two equivalent Ti(1); and two equivalent Bi(1) atoms to form distorted MgMg8Ti2Bi2 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 Mg(3,3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(5)Mg10TiBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; faces with two equivalent Ti(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Ti2 cuboctahedra; and faces with eight Mg(5,5)Mg10TiBi cuboctahedra. In the sixth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ti(1), and one Bi(1) atom to form distorted MgMg10TiBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Ti cuboctahedra; corners with ten Mg(5,5)Mg10TiBi cuboctahedra; edges with two equivalent Mg(5)Mg10TiBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi 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 Mg(3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Ti(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with four equivalent Mg(5)Mg10TiBi cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra. In the seventh Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ti(1), and one Bi(1) atom to form distorted MgMg10TiBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Ti cuboctahedra; corners with ten Mg(5,5)Mg10TiBi cuboctahedra; edges with two equivalent Mg(5)Mg10TiBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi 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 Mg(3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Ti(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with four equivalent Mg(5)Mg10TiBi cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Ti2Bi2 cuboctahedra. In the eighth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(7); four Mg(5,5); and one Ti(1) atom to form distorted MgMg11Ti cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with six equivalent Mg(6)Mg11Ti cuboctahedra; corners with eight Mg(5,5)Mg10TiBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with four Mg(5,5)Mg10TiBi cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Ti(1)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Ti2Bi2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Bi(1)Mg10Ti2 cuboctahedra; and faces with four Mg(5,5)Mg10TiBi cuboctahedra. In the ninth Mg site, Mg(7) is bonded to one Mg(2); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(6); four Mg(5,5); and one Bi(1) atom to form distorted MgMg11Bi cuboctahedra that share corners with four equivalent Mg(6)Mg11Ti cuboctahedra; corners with six equivalent Mg(7)Mg11Bi cuboctahedra; corners with eight Mg(5,5)Mg10TiBi cuboctahedra; edges with two equivalent Mg(6)Mg11Ti cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra; edges with four Mg(5,5)Mg10TiBi cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Bi(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Ti2Bi2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Ti(1)Mg10Bi2 cuboctahedra; and faces with four Mg(5,5)Mg10TiBi cuboctahedra. In the tenth Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Ti(1), and two equivalent Bi(1) atoms to form distorted MgMg8Ti2Bi2 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 Mg(3,3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra; edges with four Mg(5,5)Mg10TiBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; faces with two equivalent Ti(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Ti2 cuboctahedra; and faces with eight Mg(5,5)Mg10TiBi cuboctahedra. Ti(1) is bonded to two equivalent Mg(6); four Mg(3,3,3); four Mg(5,5); and two equivalent Bi(1) atoms to form TiMg10Bi2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Ti(1)Mg10Bi2 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(6)Mg11Ti cuboctahedra; edges with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra; edges with eight Mg(5,5)Mg10TiBi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Bi(1)Mg10Ti2 cuboctahedra; faces with four Mg(5,5)Mg10TiBi cuboctahedra; faces with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Bi cuboctahedra. Bi(1) is bonded to two equivalent Mg(7); four Mg(3,3,3); four Mg(5,5); and two equivalent Ti(1) atoms to form BiMg10Ti2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Bi(1)Mg10Ti2 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra; edges with eight Mg(5,5)Mg10TiBi cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg10Bi2 cuboctahedra; faces with four Mg(5,5)Mg10TiBi cuboctahedra; faces with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Ti cuboctahedra. is represented by the CIF file [CIF]
data_Mg14TiBi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.401
_cell_length_b   6.319
_cell_length_c   10.358
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.575
_symmetry_Int_Tables_number   1
_cell_volume   364.342
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Mg  Mg0  1  0.166  0.333  0.625  1.0
  Mg  Mg1  1  0.166  0.833  0.625  1.0
  Mg  Mg2  1  0.668  0.332  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.668  0.836  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.334  0.173  0.376  1.0
  Mg  Mg7  1  0.334  0.173  0.874  1.0
  Mg  Mg8  1  0.334  0.661  0.376  1.0
  Mg  Mg9  1  0.334  0.661  0.874  1.0
  Mg  Mg10  1  0.838  0.169  0.373  1.0
  Mg  Mg11  1  0.838  0.169  0.877  1.0
  Mg  Mg12  1  0.829  0.664  0.379  1.0
  Mg  Mg13  1  0.829  0.664  0.871  1.0
  Ti  Ti14  1  0.168  0.334  0.125  1.0
  Bi  Bi15  1  0.163  0.831  0.125  1.0
[/CIF]
.
The material described by Mg14TiBi crystallizes in the orthorhombic Amm2 space group. There are ten 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 Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Bi(1)Mg10Ti2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3)Mg8Ti2Bi2 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 Mg(5,5)Mg10TiBi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg10Bi2 cuboctahedra; faces with four Mg(5,5)Mg10TiBi cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Bi 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 Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ti(1)Mg10Bi2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10TiBi cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Bi(1)Mg10Ti2 cuboctahedra; faces with four Mg(5,5)Mg10TiBi 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 Ti(1), and two equivalent Bi(1) atoms to form distorted MgMg8Ti2Bi2 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)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra; edges with four Mg(5,5)Mg10TiBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; faces with two equivalent Ti(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Ti2 cuboctahedra; and faces with eight Mg(5,5)Mg10TiBi 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)Mg8Ti2Bi2 cuboctahedra; corners with four equivalent Ti(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10Ti2 cuboctahedra; corners with six equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(5,5)Mg10TiBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(7)Mg11Bi 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; faces with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; and faces with eight Mg(5,5)Mg10TiBi cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); two equivalent Ti(1); and two equivalent Bi(1) atoms to form distorted MgMg8Ti2Bi2 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 Mg(3,3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(5)Mg10TiBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; faces with two equivalent Ti(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Ti2 cuboctahedra; and faces with eight Mg(5,5)Mg10TiBi cuboctahedra. In the sixth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ti(1), and one Bi(1) atom to form distorted MgMg10TiBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Ti cuboctahedra; corners with ten Mg(5,5)Mg10TiBi cuboctahedra; edges with two equivalent Mg(5)Mg10TiBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi 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 Mg(3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Ti(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with four equivalent Mg(5)Mg10TiBi cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra. In the seventh Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ti(1), and one Bi(1) atom to form distorted MgMg10TiBi cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with four equivalent Mg(6)Mg11Ti cuboctahedra; corners with ten Mg(5,5)Mg10TiBi cuboctahedra; edges with two equivalent Mg(5)Mg10TiBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi 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 Mg(3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Ti(1)Mg10Bi2 cuboctahedra;  a faceface with one Bi(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with four equivalent Mg(5)Mg10TiBi cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Ti2Bi2 cuboctahedra. In the eighth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(7); four Mg(5,5); and one Ti(1) atom to form distorted MgMg11Ti cuboctahedra that share corners with four equivalent Mg(7)Mg11Bi cuboctahedra; corners with six equivalent Mg(6)Mg11Ti cuboctahedra; corners with eight Mg(5,5)Mg10TiBi cuboctahedra; edges with two equivalent Mg(7)Mg11Bi cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with four Mg(5,5)Mg10TiBi cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Ti(1)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Ti2Bi2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Bi(1)Mg10Ti2 cuboctahedra; and faces with four Mg(5,5)Mg10TiBi cuboctahedra. In the ninth Mg site, Mg(7) is bonded to one Mg(2); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(6); four Mg(5,5); and one Bi(1) atom to form distorted MgMg11Bi cuboctahedra that share corners with four equivalent Mg(6)Mg11Ti cuboctahedra; corners with six equivalent Mg(7)Mg11Bi cuboctahedra; corners with eight Mg(5,5)Mg10TiBi cuboctahedra; edges with two equivalent Mg(6)Mg11Ti cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra; edges with four Mg(5,5)Mg10TiBi cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Bi(1)Mg10Ti2 cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Ti2Bi2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Ti(1)Mg10Bi2 cuboctahedra; and faces with four Mg(5,5)Mg10TiBi cuboctahedra. In the tenth Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Ti(1), and two equivalent Bi(1) atoms to form distorted MgMg8Ti2Bi2 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 Mg(3,3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra; edges with four Mg(5,5)Mg10TiBi cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Ti2Bi2 cuboctahedra; faces with two equivalent Ti(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10Ti2 cuboctahedra; and faces with eight Mg(5,5)Mg10TiBi cuboctahedra. Ti(1) is bonded to two equivalent Mg(6); four Mg(3,3,3); four Mg(5,5); and two equivalent Bi(1) atoms to form TiMg10Bi2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Ti(1)Mg10Bi2 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Bi(1)Mg10Ti2 cuboctahedra; edges with four equivalent Mg(6)Mg11Ti cuboctahedra; edges with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra; edges with eight Mg(5,5)Mg10TiBi cuboctahedra; faces with two equivalent Mg(6)Mg11Ti cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Bi(1)Mg10Ti2 cuboctahedra; faces with four Mg(5,5)Mg10TiBi cuboctahedra; faces with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Bi cuboctahedra. Bi(1) is bonded to two equivalent Mg(7); four Mg(3,3,3); four Mg(5,5); and two equivalent Ti(1) atoms to form BiMg10Ti2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Bi(1)Mg10Ti2 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Ti(1)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(7)Mg11Bi cuboctahedra; edges with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra; edges with eight Mg(5,5)Mg10TiBi cuboctahedra; faces with two equivalent Mg(7)Mg11Bi cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Ti(1)Mg10Bi2 cuboctahedra; faces with four Mg(5,5)Mg10TiBi cuboctahedra; faces with four Mg(3,3,3)Mg8Ti2Bi2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Ti cuboctahedra. is represented by the CIF file [CIF]
data_Mg14TiBi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.401
_cell_length_b   6.319
_cell_length_c   10.358
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.575
_symmetry_Int_Tables_number   1
_cell_volume   364.342
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Mg  Mg0  1  0.166  0.333  0.625  1.0
  Mg  Mg1  1  0.166  0.833  0.625  1.0
  Mg  Mg2  1  0.668  0.332  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.668  0.836  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.334  0.173  0.376  1.0
  Mg  Mg7  1  0.334  0.173  0.874  1.0
  Mg  Mg8  1  0.334  0.661  0.376  1.0
  Mg  Mg9  1  0.334  0.661  0.874  1.0
  Mg  Mg10  1  0.838  0.169  0.373  1.0
  Mg  Mg11  1  0.838  0.169  0.877  1.0
  Mg  Mg12  1  0.829  0.664  0.379  1.0
  Mg  Mg13  1  0.829  0.664  0.871  1.0
  Ti  Ti14  1  0.168  0.334  0.125  1.0
  Bi  Bi15  1  0.163  0.831  0.125  1.0
[/CIF]
.