The crystal structure described by Mg14NiGa 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 Ga(1)Mg10Ni2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ni(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(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 equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ni(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ga(1)Mg10Ni2 cuboctahedra, and faces with four equivalent Mg(4)Mg12 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 Ni(1), and two equivalent Ga(1) atoms to form distorted MgMg8Ga2Ni2 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)Mg8Ga2Ni2 cuboctahedra, edges with two equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, edges with two equivalent Ni(1)Mg10Ga2 cuboctahedra, edges with two equivalent Ga(1)Mg10Ni2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, faces with two equivalent Ni(1)Mg10Ga2 cuboctahedra, and faces with two equivalent Ga(1)Mg10Ni2 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)Mg8Ga2Ni2 cuboctahedra, corners with four equivalent Ni(1)Mg10Ga2 cuboctahedra, corners with four equivalent Ga(1)Mg10Ni2 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(7)Mg11Ga 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, and faces with two equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 2-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(7), one Ni(1), and one Ga(1) atom. In the sixth Mg site, Mg(6) is bonded in a distorted single-bond geometry to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and one Ni(1) atom. 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 Ga(1) atom to form distorted MgMg11Ga cuboctahedra that share corners with six equivalent Mg(7)Mg11Ga cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ga(1)Mg10Ni2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ga(1)Mg10Ni2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with three equivalent Ni(1)Mg10Ga2 cuboctahedra. Ni(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ga(1) atoms to form distorted NiMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ni(1)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ga(1)Mg10Ni2 cuboctahedra, edges with four equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ga(1)Mg10Ni2 cuboctahedra, faces with four equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. Ga(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ni(1) atoms to form distorted GaMg10Ni2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ga(1)Mg10Ni2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ni(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ni(1)Mg10Ga2 cuboctahedra, and faces with four equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg14GaNi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.215
_cell_length_b   6.215
_cell_length_c   9.926
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.556
_symmetry_Int_Tables_number   1
_cell_volume   333.473
_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  0.834  0.166  0.000  1.0
  Mg  Mg1  1  0.335  0.665  0.000  1.0
  Mg  Mg2  1  0.337  0.161  0.500  1.0
  Mg  Mg3  1  0.334  0.168  0.000  1.0
  Mg  Mg4  1  0.839  0.663  0.500  1.0
  Mg  Mg5  1  0.832  0.666  0.000  1.0
  Mg  Mg6  1  0.158  0.333  0.269  1.0
  Mg  Mg7  1  0.158  0.333  0.731  1.0
  Mg  Mg8  1  0.667  0.842  0.269  1.0
  Mg  Mg9  1  0.667  0.842  0.731  1.0
  Mg  Mg10  1  0.672  0.328  0.260  1.0
  Mg  Mg11  1  0.672  0.328  0.740  1.0
  Mg  Mg12  1  0.169  0.831  0.252  1.0
  Mg  Mg13  1  0.169  0.831  0.748  1.0
  Ga  Ga14  1  0.329  0.671  0.500  1.0
  Ni  Ni15  1  0.831  0.169  0.500  1.0
[/CIF]
.
The crystal structure described by Mg14NiGa 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 Ga(1)Mg10Ni2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ni(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(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 equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ni(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ga(1)Mg10Ni2 cuboctahedra, and faces with four equivalent Mg(4)Mg12 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 Ni(1), and two equivalent Ga(1) atoms to form distorted MgMg8Ga2Ni2 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)Mg8Ga2Ni2 cuboctahedra, edges with two equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, edges with two equivalent Ni(1)Mg10Ga2 cuboctahedra, edges with two equivalent Ga(1)Mg10Ni2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, faces with two equivalent Ni(1)Mg10Ga2 cuboctahedra, and faces with two equivalent Ga(1)Mg10Ni2 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)Mg8Ga2Ni2 cuboctahedra, corners with four equivalent Ni(1)Mg10Ga2 cuboctahedra, corners with four equivalent Ga(1)Mg10Ni2 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(7)Mg11Ga 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, and faces with two equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 2-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(7), one Ni(1), and one Ga(1) atom. In the sixth Mg site, Mg(6) is bonded in a distorted single-bond geometry to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and one Ni(1) atom. 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 Ga(1) atom to form distorted MgMg11Ga cuboctahedra that share corners with six equivalent Mg(7)Mg11Ga cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ga(1)Mg10Ni2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ga(1)Mg10Ni2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with three equivalent Ni(1)Mg10Ga2 cuboctahedra. Ni(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ga(1) atoms to form distorted NiMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ni(1)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ga(1)Mg10Ni2 cuboctahedra, edges with four equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ga(1)Mg10Ni2 cuboctahedra, faces with four equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. Ga(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ni(1) atoms to form distorted GaMg10Ni2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ga(1)Mg10Ni2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ni(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ni(1)Mg10Ga2 cuboctahedra, and faces with four equivalent Mg(3)Mg8Ga2Ni2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg14GaNi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.215
_cell_length_b   6.215
_cell_length_c   9.926
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.556
_symmetry_Int_Tables_number   1
_cell_volume   333.473
_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  0.834  0.166  0.000  1.0
  Mg  Mg1  1  0.335  0.665  0.000  1.0
  Mg  Mg2  1  0.337  0.161  0.500  1.0
  Mg  Mg3  1  0.334  0.168  0.000  1.0
  Mg  Mg4  1  0.839  0.663  0.500  1.0
  Mg  Mg5  1  0.832  0.666  0.000  1.0
  Mg  Mg6  1  0.158  0.333  0.269  1.0
  Mg  Mg7  1  0.158  0.333  0.731  1.0
  Mg  Mg8  1  0.667  0.842  0.269  1.0
  Mg  Mg9  1  0.667  0.842  0.731  1.0
  Mg  Mg10  1  0.672  0.328  0.260  1.0
  Mg  Mg11  1  0.672  0.328  0.740  1.0
  Mg  Mg12  1  0.169  0.831  0.252  1.0
  Mg  Mg13  1  0.169  0.831  0.748  1.0
  Ga  Ga14  1  0.329  0.671  0.500  1.0
  Ni  Ni15  1  0.831  0.169  0.500  1.0
[/CIF]
.