The structure described by Mg5Ge crystallizes in the trigonal R32 space group. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to four equivalent Mg(2); six Mg(1,1); and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen Mg(1,1,1)Mg10Ge2 cuboctahedra; edges with four equivalent Ge(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Ge2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1,1)Mg10Ge2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Ge3 cuboctahedra. In the second Mg site, Mg(1) is bonded to four equivalent Mg(2); six Mg(1,1); and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen Mg(1,1,1,1,1)Mg10Ge2 cuboctahedra; edges with four equivalent Ge(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Ge2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Ge2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Ge3 cuboctahedra. In the third Mg site, Mg(1) is bonded to four equivalent Mg(2); six Mg(1,1); and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen Mg(1,1,1,1,1,1)Mg10Ge2 cuboctahedra; edges with four equivalent Ge(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Ge2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1,1)Mg10Ge2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Ge3 cuboctahedra. In the fourth Mg site, Mg(2) is bonded to three equivalent Mg(2); six Mg(1,1,1,1,1); and three equivalent Ge(1) atoms to form distorted MgMg9Ge3 cuboctahedra that share corners with six equivalent Ge(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg9Ge3 cuboctahedra; edges with six equivalent Mg(2)Mg9Ge3 cuboctahedra; edges with twelve Mg(1,1,1,1,1)Mg10Ge2 cuboctahedra; faces with four Mg(2,2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; and faces with twelve Mg(1,1,1,1,1)Mg10Ge2 cuboctahedra. In the fifth Mg site, Mg(1) is bonded to four Mg(2,2); six Mg(1,1); and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen Mg(1,1,1,1,1,1)Mg10Ge2 cuboctahedra; edges with four equivalent Ge(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Ge2 cuboctahedra; edges with eight Mg(2,2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Ge2 cuboctahedra; and faces with eight Mg(2,2)Mg9Ge3 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to four Mg(2,2); six equivalent Mg(1); and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen Mg(1,1,1)Mg10Ge2 cuboctahedra; edges with four equivalent Ge(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Ge2 cuboctahedra; edges with eight Mg(2,2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Ge2 cuboctahedra; and faces with eight Mg(2,2)Mg9Ge3 cuboctahedra. In the seventh Mg site, Mg(1) is bonded to four Mg(2,2); six equivalent Mg(1); and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen Mg(1,1,1)Mg10Ge2 cuboctahedra; edges with four equivalent Ge(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Ge2 cuboctahedra; edges with eight Mg(2,2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Ge2 cuboctahedra; and faces with eight Mg(2,2)Mg9Ge3 cuboctahedra. In the eighth Mg site, Mg(2) is bonded to three equivalent Mg(2); six Mg(1,1,1,1); and three equivalent Ge(1) atoms to form distorted MgMg9Ge3 cuboctahedra that share corners with six equivalent Ge(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg9Ge3 cuboctahedra; edges with six equivalent Mg(2)Mg9Ge3 cuboctahedra; edges with twelve Mg(1,1,1,1)Mg10Ge2 cuboctahedra; faces with four equivalent Mg(2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; and faces with twelve Mg(1,1,1,1)Mg10Ge2 cuboctahedra. Ge(1) is bonded to six Mg(1,1,1,1,1) and six equivalent Mg(2) atoms to form GeMg12 cuboctahedra that share corners with six equivalent Ge(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Mg9Ge3 cuboctahedra; edges with six equivalent Ge(1)Mg12 cuboctahedra; edges with twelve Mg(1,1,1,1,1)Mg10Ge2 cuboctahedra; faces with eight equivalent Mg(2)Mg9Ge3 cuboctahedra; and faces with twelve Mg(1,1,1,1,1)Mg10Ge2 cuboctahedra. is represented by the CIF card [CIF]
data_Mg5Ge
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.964
_cell_length_b   5.964
_cell_length_c   5.964
_cell_angle_alpha   53.987
_cell_angle_beta   53.987
_cell_angle_gamma   53.987
_symmetry_Int_Tables_number   1
_cell_volume   128.941
_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  0.161  0.839  0.500  1.0
  Mg  Mg1  1  0.500  0.161  0.839  1.0
  Mg  Mg2  1  0.839  0.500  0.161  1.0
  Mg  Mg3  1  0.333  0.333  0.333  1.0
  Mg  Mg4  1  0.667  0.667  0.667  1.0
  Ge  Ge5  1  0.000  0.000  0.000  1.0
[/CIF]
.
The structure described by Mg5Ge crystallizes in the trigonal R32 space group. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to four equivalent Mg(2); six Mg(1,1); and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen Mg(1,1,1)Mg10Ge2 cuboctahedra; edges with four equivalent Ge(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Ge2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1,1)Mg10Ge2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Ge3 cuboctahedra. In the second Mg site, Mg(1) is bonded to four equivalent Mg(2); six Mg(1,1); and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen Mg(1,1,1,1,1)Mg10Ge2 cuboctahedra; edges with four equivalent Ge(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Ge2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Ge2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Ge3 cuboctahedra. In the third Mg site, Mg(1) is bonded to four equivalent Mg(2); six Mg(1,1); and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen Mg(1,1,1,1,1,1)Mg10Ge2 cuboctahedra; edges with four equivalent Ge(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Ge2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1,1)Mg10Ge2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Ge3 cuboctahedra. In the fourth Mg site, Mg(2) is bonded to three equivalent Mg(2); six Mg(1,1,1,1,1); and three equivalent Ge(1) atoms to form distorted MgMg9Ge3 cuboctahedra that share corners with six equivalent Ge(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg9Ge3 cuboctahedra; edges with six equivalent Mg(2)Mg9Ge3 cuboctahedra; edges with twelve Mg(1,1,1,1,1)Mg10Ge2 cuboctahedra; faces with four Mg(2,2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; and faces with twelve Mg(1,1,1,1,1)Mg10Ge2 cuboctahedra. In the fifth Mg site, Mg(1) is bonded to four Mg(2,2); six Mg(1,1); and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen Mg(1,1,1,1,1,1)Mg10Ge2 cuboctahedra; edges with four equivalent Ge(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Ge2 cuboctahedra; edges with eight Mg(2,2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Ge2 cuboctahedra; and faces with eight Mg(2,2)Mg9Ge3 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to four Mg(2,2); six equivalent Mg(1); and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen Mg(1,1,1)Mg10Ge2 cuboctahedra; edges with four equivalent Ge(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Ge2 cuboctahedra; edges with eight Mg(2,2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Ge2 cuboctahedra; and faces with eight Mg(2,2)Mg9Ge3 cuboctahedra. In the seventh Mg site, Mg(1) is bonded to four Mg(2,2); six equivalent Mg(1); and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen Mg(1,1,1)Mg10Ge2 cuboctahedra; edges with four equivalent Ge(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Ge2 cuboctahedra; edges with eight Mg(2,2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Ge2 cuboctahedra; and faces with eight Mg(2,2)Mg9Ge3 cuboctahedra. In the eighth Mg site, Mg(2) is bonded to three equivalent Mg(2); six Mg(1,1,1,1); and three equivalent Ge(1) atoms to form distorted MgMg9Ge3 cuboctahedra that share corners with six equivalent Ge(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg9Ge3 cuboctahedra; edges with six equivalent Mg(2)Mg9Ge3 cuboctahedra; edges with twelve Mg(1,1,1,1)Mg10Ge2 cuboctahedra; faces with four equivalent Mg(2)Mg9Ge3 cuboctahedra; faces with four equivalent Ge(1)Mg12 cuboctahedra; and faces with twelve Mg(1,1,1,1)Mg10Ge2 cuboctahedra. Ge(1) is bonded to six Mg(1,1,1,1,1) and six equivalent Mg(2) atoms to form GeMg12 cuboctahedra that share corners with six equivalent Ge(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Mg9Ge3 cuboctahedra; edges with six equivalent Ge(1)Mg12 cuboctahedra; edges with twelve Mg(1,1,1,1,1)Mg10Ge2 cuboctahedra; faces with eight equivalent Mg(2)Mg9Ge3 cuboctahedra; and faces with twelve Mg(1,1,1,1,1)Mg10Ge2 cuboctahedra. is represented by the CIF card [CIF]
data_Mg5Ge
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.964
_cell_length_b   5.964
_cell_length_c   5.964
_cell_angle_alpha   53.987
_cell_angle_beta   53.987
_cell_angle_gamma   53.987
_symmetry_Int_Tables_number   1
_cell_volume   128.941
_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  0.161  0.839  0.500  1.0
  Mg  Mg1  1  0.500  0.161  0.839  1.0
  Mg  Mg2  1  0.839  0.500  0.161  1.0
  Mg  Mg3  1  0.333  0.333  0.333  1.0
  Mg  Mg4  1  0.667  0.667  0.667  1.0
  Ge  Ge5  1  0.000  0.000  0.000  1.0
[/CIF]
.