The compound described by Mg19Ge5 crystallizes in the cubic P-43m space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 12-coordinate geometry to four equivalent Mg(3) and eight equivalent Mg(2) atoms. In the second Mg site, Mg(2) is bonded to one Mg(3), two equivalent Mg(1), five equivalent Mg(2), one Ge(2), and three equivalent Ge(1) atoms to form distorted MgMg8Ge4 cuboctahedra that share corners with four equivalent Mg(3)Mg9Ge3 cuboctahedra, corners with fourteen equivalent Mg(2)Mg8Ge4 cuboctahedra, edges with two equivalent Mg(3)Mg9Ge3 cuboctahedra, edges with four equivalent Mg(2)Mg8Ge4 cuboctahedra, faces with five equivalent Mg(3)Mg9Ge3 cuboctahedra, and faces with thirteen equivalent Mg(2)Mg8Ge4 cuboctahedra. In the third Mg site, Mg(3) is bonded to three equivalent Mg(1), three equivalent Mg(2), three equivalent Mg(3), and three equivalent Ge(1) atoms to form distorted MgMg9Ge3 cuboctahedra that share corners with six equivalent Mg(3)Mg9Ge3 cuboctahedra, corners with twelve equivalent Mg(2)Mg8Ge4 cuboctahedra, edges with six equivalent Mg(2)Mg8Ge4 cuboctahedra, faces with three equivalent Mg(3)Mg9Ge3 cuboctahedra, and faces with fifteen equivalent Mg(2)Mg8Ge4 cuboctahedra. There are two inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 12-coordinate geometry to three equivalent Mg(3) and nine equivalent Mg(2) atoms. In the second Ge site, Ge(2) is bonded in a 12-coordinate geometry to twelve equivalent Mg(2) atoms. is represented by the CIF card [CIF]
data_Mg19Ge5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.153
_cell_length_b   8.153
_cell_length_c   8.153
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   541.869
_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  0.000  0.500  1.0
  Mg  Mg1  1  0.000  0.500  0.000  1.0
  Mg  Mg2  1  0.500  0.000  0.000  1.0
  Mg  Mg3  1  0.375  0.874  0.375  1.0
  Mg  Mg4  1  0.375  0.375  0.874  1.0
  Mg  Mg5  1  0.874  0.375  0.375  1.0
  Mg  Mg6  1  0.875  0.875  0.875  1.0
  Mg  Mg7  1  0.375  0.126  0.625  1.0
  Mg  Mg8  1  0.375  0.625  0.126  1.0
  Mg  Mg9  1  0.874  0.625  0.625  1.0
  Mg  Mg10  1  0.875  0.125  0.125  1.0
  Mg  Mg11  1  0.625  0.874  0.625  1.0
  Mg  Mg12  1  0.625  0.375  0.126  1.0
  Mg  Mg13  1  0.126  0.375  0.625  1.0
  Mg  Mg14  1  0.125  0.875  0.125  1.0
  Mg  Mg15  1  0.625  0.126  0.375  1.0
  Mg  Mg16  1  0.625  0.625  0.874  1.0
  Mg  Mg17  1  0.126  0.625  0.375  1.0
  Mg  Mg18  1  0.125  0.125  0.875  1.0
  Ge  Ge19  1  0.750  0.750  0.250  1.0
  Ge  Ge20  1  0.250  0.250  0.250  1.0
  Ge  Ge21  1  0.500  0.500  0.500  1.0
  Ge  Ge22  1  0.250  0.750  0.750  1.0
  Ge  Ge23  1  0.750  0.250  0.750  1.0
[/CIF]
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The compound described by Mg19Ge5 crystallizes in the cubic P-43m space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 12-coordinate geometry to four equivalent Mg(3) and eight equivalent Mg(2) atoms. In the second Mg site, Mg(2) is bonded to one Mg(3), two equivalent Mg(1), five equivalent Mg(2), one Ge(2), and three equivalent Ge(1) atoms to form distorted MgMg8Ge4 cuboctahedra that share corners with four equivalent Mg(3)Mg9Ge3 cuboctahedra, corners with fourteen equivalent Mg(2)Mg8Ge4 cuboctahedra, edges with two equivalent Mg(3)Mg9Ge3 cuboctahedra, edges with four equivalent Mg(2)Mg8Ge4 cuboctahedra, faces with five equivalent Mg(3)Mg9Ge3 cuboctahedra, and faces with thirteen equivalent Mg(2)Mg8Ge4 cuboctahedra. In the third Mg site, Mg(3) is bonded to three equivalent Mg(1), three equivalent Mg(2), three equivalent Mg(3), and three equivalent Ge(1) atoms to form distorted MgMg9Ge3 cuboctahedra that share corners with six equivalent Mg(3)Mg9Ge3 cuboctahedra, corners with twelve equivalent Mg(2)Mg8Ge4 cuboctahedra, edges with six equivalent Mg(2)Mg8Ge4 cuboctahedra, faces with three equivalent Mg(3)Mg9Ge3 cuboctahedra, and faces with fifteen equivalent Mg(2)Mg8Ge4 cuboctahedra. There are two inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 12-coordinate geometry to three equivalent Mg(3) and nine equivalent Mg(2) atoms. In the second Ge site, Ge(2) is bonded in a 12-coordinate geometry to twelve equivalent Mg(2) atoms. is represented by the CIF card [CIF]
data_Mg19Ge5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.153
_cell_length_b   8.153
_cell_length_c   8.153
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   541.869
_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  0.000  0.500  1.0
  Mg  Mg1  1  0.000  0.500  0.000  1.0
  Mg  Mg2  1  0.500  0.000  0.000  1.0
  Mg  Mg3  1  0.375  0.874  0.375  1.0
  Mg  Mg4  1  0.375  0.375  0.874  1.0
  Mg  Mg5  1  0.874  0.375  0.375  1.0
  Mg  Mg6  1  0.875  0.875  0.875  1.0
  Mg  Mg7  1  0.375  0.126  0.625  1.0
  Mg  Mg8  1  0.375  0.625  0.126  1.0
  Mg  Mg9  1  0.874  0.625  0.625  1.0
  Mg  Mg10  1  0.875  0.125  0.125  1.0
  Mg  Mg11  1  0.625  0.874  0.625  1.0
  Mg  Mg12  1  0.625  0.375  0.126  1.0
  Mg  Mg13  1  0.126  0.375  0.625  1.0
  Mg  Mg14  1  0.125  0.875  0.125  1.0
  Mg  Mg15  1  0.625  0.126  0.375  1.0
  Mg  Mg16  1  0.625  0.625  0.874  1.0
  Mg  Mg17  1  0.126  0.625  0.375  1.0
  Mg  Mg18  1  0.125  0.125  0.875  1.0
  Ge  Ge19  1  0.750  0.750  0.250  1.0
  Ge  Ge20  1  0.250  0.250  0.250  1.0
  Ge  Ge21  1  0.500  0.500  0.500  1.0
  Ge  Ge22  1  0.250  0.750  0.750  1.0
  Ge  Ge23  1  0.750  0.250  0.750  1.0
[/CIF]
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