The structure described by Mg14GaSi 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 six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(5)Mg6GaSi cuboctahedra, corners with eight equivalent Mg(3)Mg8Ga2Si2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)Mg6GaSi cuboctahedra, faces with two equivalent Mg(2)Mg12 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 Mg(5)Mg6GaSi cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ga2Si2 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, edges with four equivalent Mg(5)Mg6GaSi cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(5)Mg6GaSi 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 Ga(1), and two equivalent Si(1) atoms to form distorted MgMg8Ga2Si2 cuboctahedra that share corners with two equivalent Mg(5)Mg6GaSi cuboctahedra, 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)Mg8Ga2Si2 cuboctahedra, edges with two equivalent Mg(3)Mg8Ga2Si2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(5)Mg6GaSi cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ga2Si2 cuboctahedra, and faces with six equivalent Mg(5)Mg6GaSi 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 two equivalent Mg(5)Mg6GaSi cuboctahedra, corners with four equivalent Mg(3)Mg8Ga2Si2 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, edges with four equivalent Mg(5)Mg6GaSi 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)Mg8Ga2Si2 cuboctahedra, and faces with six equivalent Mg(5)Mg6GaSi cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(7), one Ga(1), and one Si(1) atom to form distorted MgMg6GaSi cuboctahedra that share  a cornercorner with one Mg(2)Mg12 cuboctahedra,  a cornercorner with one Mg(4)Mg12 cuboctahedra,  a cornercorner with one Mg(3)Mg8Ga2Si2 cuboctahedra, corners with two equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with eight equivalent Mg(5)Mg6GaSi cuboctahedra,  an edgeedge with one Mg(1)Mg12 cuboctahedra,  an edgeedge with one Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(7)Mg11Ga cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(3)Mg8Ga2Si2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with three equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(3)Mg8Ga2Si2 cuboctahedra, and faces with four equivalent Mg(5)Mg6GaSi cuboctahedra. 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 Si(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, corners with eight equivalent Mg(5)Mg6GaSi cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)Mg6GaSi cuboctahedra, edges with four equivalent Mg(3)Mg8Ga2Si2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ga2Si2 cuboctahedra, and faces with three equivalent Mg(1)Mg12 cuboctahedra. Ga(1) is bonded in a distorted q6 geometry to two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms. Si(1) is bonded in a 10-coordinate geometry to two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms. is represented by the CIF file [CIF]
data_Mg14GaSi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.221
_cell_length_b   6.441
_cell_length_c   10.130
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   121.182
_symmetry_Int_Tables_number   1
_cell_volume   347.275
_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  0.335  0.625  1.0
  Mg  Mg1  1  0.170  0.835  0.625  1.0
  Mg  Mg2  1  0.670  0.336  0.125  1.0
  Mg  Mg3  1  0.667  0.333  0.625  1.0
  Mg  Mg4  1  0.670  0.835  0.125  1.0
  Mg  Mg5  1  0.667  0.834  0.625  1.0
  Mg  Mg6  1  0.328  0.165  0.367  1.0
  Mg  Mg7  1  0.328  0.165  0.883  1.0
  Mg  Mg8  1  0.328  0.663  0.367  1.0
  Mg  Mg9  1  0.328  0.663  0.883  1.0
  Mg  Mg10  1  0.838  0.169  0.371  1.0
  Mg  Mg11  1  0.838  0.169  0.879  1.0
  Mg  Mg12  1  0.835  0.668  0.374  1.0
  Mg  Mg13  1  0.835  0.668  0.876  1.0
  Ga  Ga14  1  0.163  0.831  0.125  1.0
  Si  Si15  1  0.166  0.333  0.125  1.0
[/CIF]
.
The structure described by Mg14GaSi 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 six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(5)Mg6GaSi cuboctahedra, corners with eight equivalent Mg(3)Mg8Ga2Si2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)Mg6GaSi cuboctahedra, faces with two equivalent Mg(2)Mg12 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 Mg(5)Mg6GaSi cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Ga2Si2 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, edges with four equivalent Mg(5)Mg6GaSi cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(5)Mg6GaSi 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 Ga(1), and two equivalent Si(1) atoms to form distorted MgMg8Ga2Si2 cuboctahedra that share corners with two equivalent Mg(5)Mg6GaSi cuboctahedra, 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)Mg8Ga2Si2 cuboctahedra, edges with two equivalent Mg(3)Mg8Ga2Si2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(5)Mg6GaSi cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ga2Si2 cuboctahedra, and faces with six equivalent Mg(5)Mg6GaSi 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 two equivalent Mg(5)Mg6GaSi cuboctahedra, corners with four equivalent Mg(3)Mg8Ga2Si2 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, edges with four equivalent Mg(5)Mg6GaSi 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)Mg8Ga2Si2 cuboctahedra, and faces with six equivalent Mg(5)Mg6GaSi cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(7), one Ga(1), and one Si(1) atom to form distorted MgMg6GaSi cuboctahedra that share  a cornercorner with one Mg(2)Mg12 cuboctahedra,  a cornercorner with one Mg(4)Mg12 cuboctahedra,  a cornercorner with one Mg(3)Mg8Ga2Si2 cuboctahedra, corners with two equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with eight equivalent Mg(5)Mg6GaSi cuboctahedra,  an edgeedge with one Mg(1)Mg12 cuboctahedra,  an edgeedge with one Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(7)Mg11Ga cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(3)Mg8Ga2Si2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with three equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(3)Mg8Ga2Si2 cuboctahedra, and faces with four equivalent Mg(5)Mg6GaSi cuboctahedra. 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 Si(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, corners with eight equivalent Mg(5)Mg6GaSi cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)Mg6GaSi cuboctahedra, edges with four equivalent Mg(3)Mg8Ga2Si2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Ga2Si2 cuboctahedra, and faces with three equivalent Mg(1)Mg12 cuboctahedra. Ga(1) is bonded in a distorted q6 geometry to two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms. Si(1) is bonded in a 10-coordinate geometry to two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms. is represented by the CIF file [CIF]
data_Mg14GaSi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.221
_cell_length_b   6.441
_cell_length_c   10.130
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   121.182
_symmetry_Int_Tables_number   1
_cell_volume   347.275
_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  0.335  0.625  1.0
  Mg  Mg1  1  0.170  0.835  0.625  1.0
  Mg  Mg2  1  0.670  0.336  0.125  1.0
  Mg  Mg3  1  0.667  0.333  0.625  1.0
  Mg  Mg4  1  0.670  0.835  0.125  1.0
  Mg  Mg5  1  0.667  0.834  0.625  1.0
  Mg  Mg6  1  0.328  0.165  0.367  1.0
  Mg  Mg7  1  0.328  0.165  0.883  1.0
  Mg  Mg8  1  0.328  0.663  0.367  1.0
  Mg  Mg9  1  0.328  0.663  0.883  1.0
  Mg  Mg10  1  0.838  0.169  0.371  1.0
  Mg  Mg11  1  0.838  0.169  0.879  1.0
  Mg  Mg12  1  0.835  0.668  0.374  1.0
  Mg  Mg13  1  0.835  0.668  0.876  1.0
  Ga  Ga14  1  0.163  0.831  0.125  1.0
  Si  Si15  1  0.166  0.333  0.125  1.0
[/CIF]
.