The crystal structure described by Mg14CdGa crystallizes in the orthorhombic Amm2 space group. There are eleven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ga(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10CdGa cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Ga2 cuboctahedra; faces with four Mg(5,5)Mg10CdGa cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cd(1)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10CdGa cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Ga(1)Mg10Cd2 cuboctahedra; faces with four Mg(5,5)Mg10CdGa cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cd 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 Cd(1), and two equivalent Ga(1) atoms to form distorted MgMg8Cd2Ga2 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)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Cd(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10CdGa cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra; faces with two equivalent Cd(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10CdGa 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)Mg8Cd2Ga2 cuboctahedra; corners with four equivalent Cd(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Cd2 cuboctahedra; corners with six Mg(4,4)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)Mg10CdGa cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga 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)Mg8Cd2Ga2 cuboctahedra; and faces with eight Mg(5,5)Mg10CdGa cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra; corners with four equivalent Cd(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Cd2 cuboctahedra; corners with six Mg(4,4)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)Mg10CdGa cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga 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)Mg8Cd2Ga2 cuboctahedra; and faces with eight Mg(5,5)Mg10CdGa 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 Cd(1), and one Ga(1) atom to form distorted MgMg10CdGa cuboctahedra that share corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with four equivalent Mg(7)Mg11Ga cuboctahedra; corners with ten Mg(5,5)Mg10CdGa cuboctahedra; edges with two equivalent Mg(5)Mg10CdGa cuboctahedra; edges with two equivalent Mg(6)Mg11Cd cuboctahedra; edges with two equivalent Mg(7)Mg11Ga 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)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Cd(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Ga2 cuboctahedra;  a faceface with one Ga(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with four equivalent Mg(5)Mg10CdGa cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Cd2Ga2 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 Cd(1), and one Ga(1) atom to form distorted MgMg10CdGa cuboctahedra that share corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with four equivalent Mg(7)Mg11Ga cuboctahedra; corners with ten equivalent Mg(5)Mg10CdGa cuboctahedra; edges with two equivalent Mg(5)Mg10CdGa cuboctahedra; edges with two equivalent Mg(6)Mg11Cd cuboctahedra; edges with two equivalent Mg(7)Mg11Ga 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)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Cd(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Ga2 cuboctahedra;  a faceface with one Ga(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with four equivalent Mg(5)Mg10CdGa cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra. In the eighth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5); and one Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra; corners with six equivalent Mg(6)Mg11Cd cuboctahedra; corners with eight Mg(5,5)Mg10CdGa cuboctahedra; edges with two equivalent Mg(7)Mg11Ga cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Ga2 cuboctahedra; edges with four Mg(5,5)Mg10CdGa cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3)Mg8Cd2Ga2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Cd2Ga2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Ga(1)Mg10Cd2 cuboctahedra; and faces with four Mg(5,5)Mg10CdGa cuboctahedra. In the ninth Mg site, Mg(7) is bonded to one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5); and one Ga(1) atom to form distorted MgMg11Ga cuboctahedra that share corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with six equivalent Mg(7)Mg11Ga cuboctahedra; corners with eight Mg(5,5)Mg10CdGa cuboctahedra; edges with two equivalent Mg(6)Mg11Cd cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Ga(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10CdGa cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3)Mg8Cd2Ga2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Ga(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Cd2Ga2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Cd(1)Mg10Ga2 cuboctahedra; and faces with four Mg(5,5)Mg10CdGa cuboctahedra. In the tenth Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra; corners with four equivalent Cd(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Cd2 cuboctahedra; corners with six Mg(4,4)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)Mg10CdGa cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga 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)Mg8Cd2Ga2 cuboctahedra; and faces with eight Mg(5,5)Mg10CdGa cuboctahedra. In the eleventh 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 Cd(1); and two equivalent Ga(1) atoms to form distorted MgMg8Cd2Ga2 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)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Cd(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10CdGa cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra; faces with two equivalent Cd(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10CdGa cuboctahedra. Cd(1) is bonded to two equivalent Mg(6); four Mg(3,3); four Mg(5,5); and two equivalent Ga(1) atoms to form CdMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Cd(1)Mg10Ga2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Ga(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four Mg(3,3)Mg8Cd2Ga2 cuboctahedra; edges with eight Mg(5,5)Mg10CdGa cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Ga(1)Mg10Cd2 cuboctahedra; faces with four Mg(5,5)Mg10CdGa cuboctahedra; faces with four Mg(3,3)Mg8Cd2Ga2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. Ga(1) is bonded to two equivalent Mg(7); four Mg(3,3); four Mg(5,5); and two equivalent Cd(1) atoms to form GaMg10Cd2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Ga(1)Mg10Cd2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four Mg(3,3)Mg8Cd2Ga2 cuboctahedra; edges with eight Mg(5,5)Mg10CdGa cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Ga2 cuboctahedra; faces with four Mg(5,5)Mg10CdGa cuboctahedra; faces with four Mg(3,3)Mg8Cd2Ga2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cd cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg14CdGa
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.294
_cell_length_b   6.358
_cell_length_c   10.376
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.336
_symmetry_Int_Tables_number   1
_cell_volume   358.378
_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  0.168  0.334  0.625  1.0
  Mg  Mg1  1  0.167  0.834  0.625  1.0
  Mg  Mg2  1  0.667  0.334  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.667  0.833  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.332  0.165  0.373  1.0
  Mg  Mg7  1  0.332  0.165  0.877  1.0
  Mg  Mg8  1  0.332  0.667  0.373  1.0
  Mg  Mg9  1  0.332  0.667  0.877  1.0
  Mg  Mg10  1  0.834  0.167  0.375  1.0
  Mg  Mg11  1  0.834  0.167  0.875  1.0
  Mg  Mg12  1  0.836  0.668  0.375  1.0
  Mg  Mg13  1  0.836  0.668  0.875  1.0
  Cd  Cd14  1  0.167  0.333  0.125  1.0
  Ga  Ga15  1  0.166  0.833  0.125  1.0
[/CIF]
.
The crystal structure described by Mg14CdGa crystallizes in the orthorhombic Amm2 space group. There are eleven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ga(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10CdGa cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Ga2 cuboctahedra; faces with four Mg(5,5)Mg10CdGa cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cd(1)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10CdGa cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Ga(1)Mg10Cd2 cuboctahedra; faces with four Mg(5,5)Mg10CdGa cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cd 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 Cd(1), and two equivalent Ga(1) atoms to form distorted MgMg8Cd2Ga2 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)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Cd(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10CdGa cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra; faces with two equivalent Cd(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10CdGa 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)Mg8Cd2Ga2 cuboctahedra; corners with four equivalent Cd(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Cd2 cuboctahedra; corners with six Mg(4,4)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)Mg10CdGa cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga 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)Mg8Cd2Ga2 cuboctahedra; and faces with eight Mg(5,5)Mg10CdGa cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra; corners with four equivalent Cd(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Cd2 cuboctahedra; corners with six Mg(4,4)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)Mg10CdGa cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga 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)Mg8Cd2Ga2 cuboctahedra; and faces with eight Mg(5,5)Mg10CdGa 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 Cd(1), and one Ga(1) atom to form distorted MgMg10CdGa cuboctahedra that share corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with four equivalent Mg(7)Mg11Ga cuboctahedra; corners with ten Mg(5,5)Mg10CdGa cuboctahedra; edges with two equivalent Mg(5)Mg10CdGa cuboctahedra; edges with two equivalent Mg(6)Mg11Cd cuboctahedra; edges with two equivalent Mg(7)Mg11Ga 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)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Cd(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Ga2 cuboctahedra;  a faceface with one Ga(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with four equivalent Mg(5)Mg10CdGa cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four Mg(3,3)Mg8Cd2Ga2 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 Cd(1), and one Ga(1) atom to form distorted MgMg10CdGa cuboctahedra that share corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with four equivalent Mg(7)Mg11Ga cuboctahedra; corners with ten equivalent Mg(5)Mg10CdGa cuboctahedra; edges with two equivalent Mg(5)Mg10CdGa cuboctahedra; edges with two equivalent Mg(6)Mg11Cd cuboctahedra; edges with two equivalent Mg(7)Mg11Ga 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)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Cd(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cd2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Ga2 cuboctahedra;  a faceface with one Ga(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with four equivalent Mg(5)Mg10CdGa cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra. In the eighth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5); and one Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra; corners with six equivalent Mg(6)Mg11Cd cuboctahedra; corners with eight Mg(5,5)Mg10CdGa cuboctahedra; edges with two equivalent Mg(7)Mg11Ga cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Ga2 cuboctahedra; edges with four Mg(5,5)Mg10CdGa cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3)Mg8Cd2Ga2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Cd2Ga2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Ga(1)Mg10Cd2 cuboctahedra; and faces with four Mg(5,5)Mg10CdGa cuboctahedra. In the ninth Mg site, Mg(7) is bonded to one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); four Mg(5,5); and one Ga(1) atom to form distorted MgMg11Ga cuboctahedra that share corners with four equivalent Mg(6)Mg11Cd cuboctahedra; corners with six equivalent Mg(7)Mg11Ga cuboctahedra; corners with eight Mg(5,5)Mg10CdGa cuboctahedra; edges with two equivalent Mg(6)Mg11Cd cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Ga(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10CdGa cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four Mg(3,3)Mg8Cd2Ga2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Ga(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Mg8Cd2Ga2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Cd(1)Mg10Ga2 cuboctahedra; and faces with four Mg(5,5)Mg10CdGa cuboctahedra. In the tenth Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra; corners with four equivalent Cd(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Cd2 cuboctahedra; corners with six Mg(4,4)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)Mg10CdGa cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga 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)Mg8Cd2Ga2 cuboctahedra; and faces with eight Mg(5,5)Mg10CdGa cuboctahedra. In the eleventh 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 Cd(1); and two equivalent Ga(1) atoms to form distorted MgMg8Cd2Ga2 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)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra; edges with two equivalent Cd(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Cd2 cuboctahedra; edges with four Mg(5,5)Mg10CdGa cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Cd2Ga2 cuboctahedra; faces with two equivalent Cd(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Cd2 cuboctahedra; and faces with eight Mg(5,5)Mg10CdGa cuboctahedra. Cd(1) is bonded to two equivalent Mg(6); four Mg(3,3); four Mg(5,5); and two equivalent Ga(1) atoms to form CdMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Cd(1)Mg10Ga2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Ga(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(6)Mg11Cd cuboctahedra; edges with four Mg(3,3)Mg8Cd2Ga2 cuboctahedra; edges with eight Mg(5,5)Mg10CdGa cuboctahedra; faces with two equivalent Mg(6)Mg11Cd cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Ga(1)Mg10Cd2 cuboctahedra; faces with four Mg(5,5)Mg10CdGa cuboctahedra; faces with four Mg(3,3)Mg8Cd2Ga2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. Ga(1) is bonded to two equivalent Mg(7); four Mg(3,3); four Mg(5,5); and two equivalent Cd(1) atoms to form GaMg10Cd2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Ga(1)Mg10Cd2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four Mg(3,3)Mg8Cd2Ga2 cuboctahedra; edges with eight Mg(5,5)Mg10CdGa cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg10Ga2 cuboctahedra; faces with four Mg(5,5)Mg10CdGa cuboctahedra; faces with four Mg(3,3)Mg8Cd2Ga2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Cd cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg14CdGa
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.294
_cell_length_b   6.358
_cell_length_c   10.376
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.336
_symmetry_Int_Tables_number   1
_cell_volume   358.378
_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  0.168  0.334  0.625  1.0
  Mg  Mg1  1  0.167  0.834  0.625  1.0
  Mg  Mg2  1  0.667  0.334  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.667  0.833  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.332  0.165  0.373  1.0
  Mg  Mg7  1  0.332  0.165  0.877  1.0
  Mg  Mg8  1  0.332  0.667  0.373  1.0
  Mg  Mg9  1  0.332  0.667  0.877  1.0
  Mg  Mg10  1  0.834  0.167  0.375  1.0
  Mg  Mg11  1  0.834  0.167  0.875  1.0
  Mg  Mg12  1  0.836  0.668  0.375  1.0
  Mg  Mg13  1  0.836  0.668  0.875  1.0
  Cd  Cd14  1  0.167  0.333  0.125  1.0
  Ga  Ga15  1  0.166  0.833  0.125  1.0
[/CIF]
.