The compound described by Mg14ZnGa 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 Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10ZnGa cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with four Mg(5,5)Mg10ZnGa 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 Zn(1)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Zn2Ga2 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)Mg10ZnGa cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(5,5)Mg10ZnGa cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zn 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 Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 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)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four Mg(5,5)Mg10ZnGa cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; and faces with eight Mg(5,5)Mg10ZnGa 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)Mg8Zn2Ga2 cuboctahedra; corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Zn2 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)Mg10ZnGa cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn 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)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(5,5)Mg10ZnGa cuboctahedra. In the fifth 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)Mg8Zn2Ga2 cuboctahedra; corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Zn2 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)Mg10ZnGa cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn 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)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(5,5)Mg10ZnGa 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 Zn(1), and one Ga(1) atom to form distorted MgMg10ZnGa cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10ZnGa cuboctahedra; edges with two equivalent Mg(5)Mg10ZnGa cuboctahedra; edges with two equivalent Mg(7)Mg11Ga cuboctahedra; edges with two equivalent Mg(6)Mg11Zn 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)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Ga2 cuboctahedra;  a faceface with one Ga(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four Mg(5,5)Mg10ZnGa cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra. In the seventh Mg site, Mg(6) is bonded to one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5); and one Zn(1) atom to form distorted MgMg11Zn cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra; corners with six equivalent Mg(6)Mg11Zn cuboctahedra; corners with eight Mg(5,5)Mg10ZnGa cuboctahedra; edges with two equivalent Mg(7)Mg11Ga cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with four Mg(5,5)Mg10ZnGa cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Ga(1)Mg10Zn2 cuboctahedra; and faces with four Mg(5,5)Mg10ZnGa cuboctahedra. In the eighth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(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)Mg11Zn cuboctahedra; corners with six equivalent Mg(7)Mg11Ga cuboctahedra; corners with eight Mg(5,5)Mg10ZnGa cuboctahedra; edges with two equivalent Mg(6)Mg11Zn cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four Mg(5,5)Mg10ZnGa cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Ga(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Zn(1)Mg10Ga2 cuboctahedra; and faces with four Mg(5,5)Mg10ZnGa cuboctahedra. In the ninth 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)Mg8Zn2Ga2 cuboctahedra; corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Zn2 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)Mg10ZnGa cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn 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)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(5,5)Mg10ZnGa cuboctahedra. In the tenth 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 Zn(1), and one Ga(1) atom to form distorted MgMg10ZnGa cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10ZnGa cuboctahedra; edges with two equivalent Mg(5)Mg10ZnGa cuboctahedra; edges with two equivalent Mg(7)Mg11Ga cuboctahedra; edges with two equivalent Mg(6)Mg11Zn 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)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Ga2 cuboctahedra;  a faceface with one Ga(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four equivalent Mg(5)Mg10ZnGa cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra. Zn(1) is bonded to two equivalent Mg(6); four equivalent Mg(3); four Mg(5,5); and two equivalent Ga(1) atoms to form distorted ZnMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with eight Mg(5,5)Mg10ZnGa cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(5,5)Mg10ZnGa cuboctahedra; faces with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. Ga(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Zn(1) atoms to form distorted GaMg10Zn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with eight Mg(5,5)Mg10ZnGa cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with four Mg(5,5)Mg10ZnGa cuboctahedra; faces with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zn cuboctahedra. is represented by the CIF card [CIF]
data_Mg14ZnGa
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.256
_cell_length_b   6.323
_cell_length_c   10.300
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.356
_symmetry_Int_Tables_number   1
_cell_volume   351.549
_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  0.169  0.334  0.625  1.0
  Mg  Mg1  1  0.169  0.834  0.625  1.0
  Mg  Mg2  1  0.670  0.335  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.670  0.834  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.328  0.165  0.368  1.0
  Mg  Mg7  1  0.328  0.165  0.882  1.0
  Mg  Mg8  1  0.328  0.664  0.368  1.0
  Mg  Mg9  1  0.328  0.664  0.882  1.0
  Mg  Mg10  1  0.837  0.168  0.373  1.0
  Mg  Mg11  1  0.837  0.168  0.877  1.0
  Mg  Mg12  1  0.836  0.668  0.374  1.0
  Mg  Mg13  1  0.836  0.668  0.876  1.0
  Zn  Zn14  1  0.167  0.333  0.125  1.0
  Ga  Ga15  1  0.166  0.833  0.125  1.0
[/CIF]
.
The compound described by Mg14ZnGa 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 Mg(4,4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with eight Mg(5,5)Mg10ZnGa cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with four Mg(5,5)Mg10ZnGa 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 Zn(1)Mg10Ga2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Zn2Ga2 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)Mg10ZnGa cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(5,5)Mg10ZnGa cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zn 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 Zn(1), and two equivalent Ga(1) atoms to form distorted MgMg8Zn2Ga2 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)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four Mg(5,5)Mg10ZnGa cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; and faces with eight Mg(5,5)Mg10ZnGa 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)Mg8Zn2Ga2 cuboctahedra; corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Zn2 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)Mg10ZnGa cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn 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)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(5,5)Mg10ZnGa cuboctahedra. In the fifth 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)Mg8Zn2Ga2 cuboctahedra; corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Zn2 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)Mg10ZnGa cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn 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)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(5,5)Mg10ZnGa 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 Zn(1), and one Ga(1) atom to form distorted MgMg10ZnGa cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10ZnGa cuboctahedra; edges with two equivalent Mg(5)Mg10ZnGa cuboctahedra; edges with two equivalent Mg(7)Mg11Ga cuboctahedra; edges with two equivalent Mg(6)Mg11Zn 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)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Ga2 cuboctahedra;  a faceface with one Ga(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four Mg(5,5)Mg10ZnGa cuboctahedra; faces with four Mg(4,4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra. In the seventh Mg site, Mg(6) is bonded to one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5); and one Zn(1) atom to form distorted MgMg11Zn cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra; corners with six equivalent Mg(6)Mg11Zn cuboctahedra; corners with eight Mg(5,5)Mg10ZnGa cuboctahedra; edges with two equivalent Mg(7)Mg11Ga cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with four Mg(5,5)Mg10ZnGa cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Ga2 cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Ga(1)Mg10Zn2 cuboctahedra; and faces with four Mg(5,5)Mg10ZnGa cuboctahedra. In the eighth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(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)Mg11Zn cuboctahedra; corners with six equivalent Mg(7)Mg11Ga cuboctahedra; corners with eight Mg(5,5)Mg10ZnGa cuboctahedra; edges with two equivalent Mg(6)Mg11Zn cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four Mg(5,5)Mg10ZnGa cuboctahedra; edges with four Mg(4,4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Ga(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Zn(1)Mg10Ga2 cuboctahedra; and faces with four Mg(5,5)Mg10ZnGa cuboctahedra. In the ninth 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)Mg8Zn2Ga2 cuboctahedra; corners with four equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with four equivalent Ga(1)Mg10Zn2 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)Mg10ZnGa cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn 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)Mg8Zn2Ga2 cuboctahedra; and faces with eight Mg(5,5)Mg10ZnGa cuboctahedra. In the tenth 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 Zn(1), and one Ga(1) atom to form distorted MgMg10ZnGa cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra; corners with four equivalent Mg(6)Mg11Zn cuboctahedra; corners with ten Mg(5,5)Mg10ZnGa cuboctahedra; edges with two equivalent Mg(5)Mg10ZnGa cuboctahedra; edges with two equivalent Mg(7)Mg11Ga cuboctahedra; edges with two equivalent Mg(6)Mg11Zn 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)Mg8Zn2Ga2 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Zn(1)Mg10Ga2 cuboctahedra;  a faceface with one Ga(1)Mg10Zn2 cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with four equivalent Mg(5)Mg10ZnGa cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra. Zn(1) is bonded to two equivalent Mg(6); four equivalent Mg(3); four Mg(5,5); and two equivalent Ga(1) atoms to form distorted ZnMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Zn(1)Mg10Ga2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Ga(1)Mg10Zn2 cuboctahedra; edges with four equivalent Mg(6)Mg11Zn cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with eight Mg(5,5)Mg10ZnGa cuboctahedra; faces with two equivalent Mg(6)Mg11Zn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Ga(1)Mg10Zn2 cuboctahedra; faces with four Mg(5,5)Mg10ZnGa cuboctahedra; faces with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. Ga(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Zn(1) atoms to form distorted GaMg10Zn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Ga(1)Mg10Zn2 cuboctahedra; corners with eight Mg(4,4,4)Mg12 cuboctahedra; edges with two equivalent Zn(1)Mg10Ga2 cuboctahedra; edges with four equivalent Mg(7)Mg11Ga cuboctahedra; edges with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; edges with eight Mg(5,5)Mg10ZnGa cuboctahedra; faces with two equivalent Mg(7)Mg11Ga cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zn(1)Mg10Ga2 cuboctahedra; faces with four Mg(5,5)Mg10ZnGa cuboctahedra; faces with four equivalent Mg(3)Mg8Zn2Ga2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zn cuboctahedra. is represented by the CIF card [CIF]
data_Mg14ZnGa
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.256
_cell_length_b   6.323
_cell_length_c   10.300
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.356
_symmetry_Int_Tables_number   1
_cell_volume   351.549
_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  0.169  0.334  0.625  1.0
  Mg  Mg1  1  0.169  0.834  0.625  1.0
  Mg  Mg2  1  0.670  0.335  0.125  1.0
  Mg  Mg3  1  0.666  0.333  0.625  1.0
  Mg  Mg4  1  0.670  0.834  0.125  1.0
  Mg  Mg5  1  0.666  0.833  0.625  1.0
  Mg  Mg6  1  0.328  0.165  0.368  1.0
  Mg  Mg7  1  0.328  0.165  0.882  1.0
  Mg  Mg8  1  0.328  0.664  0.368  1.0
  Mg  Mg9  1  0.328  0.664  0.882  1.0
  Mg  Mg10  1  0.837  0.168  0.373  1.0
  Mg  Mg11  1  0.837  0.168  0.877  1.0
  Mg  Mg12  1  0.836  0.668  0.374  1.0
  Mg  Mg13  1  0.836  0.668  0.876  1.0
  Zn  Zn14  1  0.167  0.333  0.125  1.0
  Ga  Ga15  1  0.166  0.833  0.125  1.0
[/CIF]
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