The compound described by Mg5Ge crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and four equivalent Ge(1) atoms to form distorted MgMg8Ge4 cuboctahedra that share corners with six equivalent Mg(2)Mg10Ge2 cuboctahedra, corners with six equivalent Mg(3)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg8Ge4 cuboctahedra, edges with three equivalent Mg(2)Mg10Ge2 cuboctahedra, edges with three equivalent Mg(3)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg10Ge2 cuboctahedra, faces with two equivalent Mg(3)Mg12 cuboctahedra, faces with four equivalent Mg(1)Mg8Ge4 cuboctahedra, and faces with six equivalent Mg(4)Mg6Ge2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), four equivalent Mg(5), and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with four equivalent Mg(4)Mg6Ge2 cuboctahedra, corners with six equivalent Mg(2)Mg10Ge2 cuboctahedra, corners with six equivalent Mg(3)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg8Ge4 cuboctahedra, edges with three equivalent Mg(3)Mg12 cuboctahedra, edges with three equivalent Mg(1)Mg8Ge4 cuboctahedra, edges with six equivalent Mg(4)Mg6Ge2 cuboctahedra, faces with two equivalent Mg(3)Mg12 cuboctahedra, faces with two equivalent Mg(1)Mg8Ge4 cuboctahedra, and faces with four equivalent Mg(2)Mg10Ge2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), and four equivalent Mg(4) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(4)Mg6Ge2 cuboctahedra, corners with six equivalent Mg(2)Mg10Ge2 cuboctahedra, corners with six equivalent Mg(3)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg8Ge4 cuboctahedra, edges with three equivalent Mg(2)Mg10Ge2 cuboctahedra, edges with three equivalent Mg(1)Mg8Ge4 cuboctahedra, edges with four equivalent Mg(4)Mg6Ge2 cuboctahedra, faces with two equivalent Mg(2)Mg10Ge2 cuboctahedra, faces with two equivalent Mg(1)Mg8Ge4 cuboctahedra, and faces with four equivalent Mg(3)Mg12 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), four equivalent Mg(3), and two equivalent Ge(1) atoms to form distorted MgMg6Ge2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Ge2 cuboctahedra, corners with four equivalent Mg(3)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg6Ge2 cuboctahedra, edges with four equivalent Mg(3)Mg12 cuboctahedra, edges with six equivalent Mg(2)Mg10Ge2 cuboctahedra, faces with four equivalent Mg(4)Mg6Ge2 cuboctahedra, and faces with six equivalent Mg(1)Mg8Ge4 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 2-coordinate geometry to two equivalent Mg(3), four equivalent Mg(2), and two equivalent Ge(1) atoms. Ge(1) is bonded in a 10-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), and four equivalent Mg(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Ge
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.102
_cell_length_b   8.102
_cell_length_c   5.123
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   157.429
_symmetry_Int_Tables_number   1
_cell_volume   129.091
_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  0.671  0.329  0.000  1.0
  Mg  Mg1  1  0.332  0.668  0.000  1.0
  Mg  Mg2  1  0.999  0.001  0.000  1.0
  Mg  Mg3  1  0.560  0.440  0.500  1.0
  Mg  Mg4  1  0.881  0.119  0.500  1.0
  Ge  Ge5  1  0.223  0.777  0.500  1.0
[/CIF]
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The compound described by Mg5Ge crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and four equivalent Ge(1) atoms to form distorted MgMg8Ge4 cuboctahedra that share corners with six equivalent Mg(2)Mg10Ge2 cuboctahedra, corners with six equivalent Mg(3)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg8Ge4 cuboctahedra, edges with three equivalent Mg(2)Mg10Ge2 cuboctahedra, edges with three equivalent Mg(3)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg10Ge2 cuboctahedra, faces with two equivalent Mg(3)Mg12 cuboctahedra, faces with four equivalent Mg(1)Mg8Ge4 cuboctahedra, and faces with six equivalent Mg(4)Mg6Ge2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), four equivalent Mg(5), and two equivalent Ge(1) atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with four equivalent Mg(4)Mg6Ge2 cuboctahedra, corners with six equivalent Mg(2)Mg10Ge2 cuboctahedra, corners with six equivalent Mg(3)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg8Ge4 cuboctahedra, edges with three equivalent Mg(3)Mg12 cuboctahedra, edges with three equivalent Mg(1)Mg8Ge4 cuboctahedra, edges with six equivalent Mg(4)Mg6Ge2 cuboctahedra, faces with two equivalent Mg(3)Mg12 cuboctahedra, faces with two equivalent Mg(1)Mg8Ge4 cuboctahedra, and faces with four equivalent Mg(2)Mg10Ge2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), and four equivalent Mg(4) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(4)Mg6Ge2 cuboctahedra, corners with six equivalent Mg(2)Mg10Ge2 cuboctahedra, corners with six equivalent Mg(3)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg8Ge4 cuboctahedra, edges with three equivalent Mg(2)Mg10Ge2 cuboctahedra, edges with three equivalent Mg(1)Mg8Ge4 cuboctahedra, edges with four equivalent Mg(4)Mg6Ge2 cuboctahedra, faces with two equivalent Mg(2)Mg10Ge2 cuboctahedra, faces with two equivalent Mg(1)Mg8Ge4 cuboctahedra, and faces with four equivalent Mg(3)Mg12 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), four equivalent Mg(3), and two equivalent Ge(1) atoms to form distorted MgMg6Ge2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Ge2 cuboctahedra, corners with four equivalent Mg(3)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg6Ge2 cuboctahedra, edges with four equivalent Mg(3)Mg12 cuboctahedra, edges with six equivalent Mg(2)Mg10Ge2 cuboctahedra, faces with four equivalent Mg(4)Mg6Ge2 cuboctahedra, and faces with six equivalent Mg(1)Mg8Ge4 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 2-coordinate geometry to two equivalent Mg(3), four equivalent Mg(2), and two equivalent Ge(1) atoms. Ge(1) is bonded in a 10-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), and four equivalent Mg(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Ge
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.102
_cell_length_b   8.102
_cell_length_c   5.123
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   157.429
_symmetry_Int_Tables_number   1
_cell_volume   129.091
_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  0.671  0.329  0.000  1.0
  Mg  Mg1  1  0.332  0.668  0.000  1.0
  Mg  Mg2  1  0.999  0.001  0.000  1.0
  Mg  Mg3  1  0.560  0.440  0.500  1.0
  Mg  Mg4  1  0.881  0.119  0.500  1.0
  Ge  Ge5  1  0.223  0.777  0.500  1.0
[/CIF]
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