The crystal structure described by Mg5Ga crystallizes in the trigonal R32 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to four equivalent Mg(2), six equivalent Mg(1), and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with eighteen equivalent Mg(1)Mg10Ga2 cuboctahedra, edges with four equivalent Ga(1)Mg12 cuboctahedra, edges with six equivalent Mg(1)Mg10Ga2 cuboctahedra, edges with eight equivalent Mg(2)Mg9Ga3 cuboctahedra, faces with four equivalent Ga(1)Mg12 cuboctahedra, faces with eight equivalent Mg(1)Mg10Ga2 cuboctahedra, and faces with eight equivalent Mg(2)Mg9Ga3 cuboctahedra. In the second Mg site, Mg(2) is bonded to three equivalent Mg(2), six equivalent Mg(1), and three equivalent Ga(1) atoms to form distorted MgMg9Ga3 cuboctahedra that share corners with six equivalent Ga(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(2)Mg9Ga3 cuboctahedra, edges with six equivalent Mg(2)Mg9Ga3 cuboctahedra, edges with twelve equivalent Mg(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(2)Mg9Ga3 cuboctahedra, faces with four equivalent Ga(1)Mg12 cuboctahedra, and faces with twelve equivalent Mg(1)Mg10Ga2 cuboctahedra. Ga(1) is bonded to six equivalent Mg(1) and six equivalent Mg(2) atoms to form GaMg12 cuboctahedra that share corners with six equivalent Ga(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(2)Mg9Ga3 cuboctahedra, edges with six equivalent Ga(1)Mg12 cuboctahedra, edges with twelve equivalent Mg(1)Mg10Ga2 cuboctahedra, faces with eight equivalent Mg(2)Mg9Ga3 cuboctahedra, and faces with twelve equivalent Mg(1)Mg10Ga2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Ga
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.916
_cell_length_b   5.916
_cell_length_c   5.916
_cell_angle_alpha   54.059
_cell_angle_beta   54.059
_cell_angle_gamma   54.059
_symmetry_Int_Tables_number   1
_cell_volume   126.110
_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  0.000  0.660  0.340  1.0
  Mg  Mg1  1  0.833  0.833  0.833  1.0
  Mg  Mg2  1  0.660  0.340  0.000  1.0
  Mg  Mg3  1  0.340  0.000  0.660  1.0
  Mg  Mg4  1  0.167  0.167  0.167  1.0
  Ga  Ga5  1  0.500  0.500  0.500  1.0
[/CIF]
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The crystal structure described by Mg5Ga crystallizes in the trigonal R32 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to four equivalent Mg(2), six equivalent Mg(1), and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with eighteen equivalent Mg(1)Mg10Ga2 cuboctahedra, edges with four equivalent Ga(1)Mg12 cuboctahedra, edges with six equivalent Mg(1)Mg10Ga2 cuboctahedra, edges with eight equivalent Mg(2)Mg9Ga3 cuboctahedra, faces with four equivalent Ga(1)Mg12 cuboctahedra, faces with eight equivalent Mg(1)Mg10Ga2 cuboctahedra, and faces with eight equivalent Mg(2)Mg9Ga3 cuboctahedra. In the second Mg site, Mg(2) is bonded to three equivalent Mg(2), six equivalent Mg(1), and three equivalent Ga(1) atoms to form distorted MgMg9Ga3 cuboctahedra that share corners with six equivalent Ga(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(2)Mg9Ga3 cuboctahedra, edges with six equivalent Mg(2)Mg9Ga3 cuboctahedra, edges with twelve equivalent Mg(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(2)Mg9Ga3 cuboctahedra, faces with four equivalent Ga(1)Mg12 cuboctahedra, and faces with twelve equivalent Mg(1)Mg10Ga2 cuboctahedra. Ga(1) is bonded to six equivalent Mg(1) and six equivalent Mg(2) atoms to form GaMg12 cuboctahedra that share corners with six equivalent Ga(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(2)Mg9Ga3 cuboctahedra, edges with six equivalent Ga(1)Mg12 cuboctahedra, edges with twelve equivalent Mg(1)Mg10Ga2 cuboctahedra, faces with eight equivalent Mg(2)Mg9Ga3 cuboctahedra, and faces with twelve equivalent Mg(1)Mg10Ga2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Ga
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.916
_cell_length_b   5.916
_cell_length_c   5.916
_cell_angle_alpha   54.059
_cell_angle_beta   54.059
_cell_angle_gamma   54.059
_symmetry_Int_Tables_number   1
_cell_volume   126.110
_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  0.000  0.660  0.340  1.0
  Mg  Mg1  1  0.833  0.833  0.833  1.0
  Mg  Mg2  1  0.660  0.340  0.000  1.0
  Mg  Mg3  1  0.340  0.000  0.660  1.0
  Mg  Mg4  1  0.167  0.167  0.167  1.0
  Ga  Ga5  1  0.500  0.500  0.500  1.0
[/CIF]
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