The structure described by Mg7Ce4Ge6 crystallizes in the monoclinic C2/m space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 4-coordinate geometry to two equivalent Ge(2) and two equivalent Ge(3) atoms. In the second Mg site, Mg(2) is bonded to two equivalent Ge(1) and two equivalent Ge(3) atoms to form distorted MgGe4 tetrahedra that share corners with two equivalent Ce(2)Ge6 octahedra, corners with two equivalent Mg(2)Ge4 tetrahedra, corners with four equivalent Mg(3)Ge4 tetrahedra, edges with two equivalent Ce(2)Ge6 octahedra, and  an edgeedge with one Mg(2)Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. In the third Mg site, Mg(3) is bonded to one Ge(1), one Ge(3), and two equivalent Ge(2) atoms to form distorted MgGe4 tetrahedra that share corners with three equivalent Ce(2)Ge6 octahedra, corners with two equivalent Mg(3)Ge4 tetrahedra, corners with four equivalent Mg(2)Ge4 tetrahedra, and edges with three equivalent Ce(2)Ge6 octahedra. The corner-sharing octahedral tilt angles range from 14-62°. In the fourth Mg site, Mg(4) is bonded in a 4-coordinate geometry to four equivalent Ge(1) atoms. There are two inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 5-coordinate geometry to two equivalent Ge(1) and three equivalent Ge(3) atoms. In the second Ce site, Ce(2) is bonded to one Ge(3), two equivalent Ge(1), and three equivalent Ge(2) atoms to form distorted CeGe6 octahedra that share corners with two equivalent Mg(2)Ge4 tetrahedra, corners with three equivalent Mg(3)Ge4 tetrahedra, edges with four equivalent Ce(2)Ge6 octahedra, edges with two equivalent Mg(2)Ge4 tetrahedra, and edges with three equivalent Mg(3)Ge4 tetrahedra. There are three inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to one Mg(3), two equivalent Mg(2), two equivalent Mg(4), two equivalent Ce(1), and two equivalent Ce(2) atoms. In the second Ge site, Ge(2) is bonded in a 7-coordinate geometry to two equivalent Mg(1), two equivalent Mg(3), and three equivalent Ce(2) atoms. In the third Ge site, Ge(3) is bonded in a 9-coordinate geometry to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), one Ce(2), and three equivalent Ce(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ce4Mg7Ge6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.730
_cell_length_b   8.730
_cell_length_c   12.743
_cell_angle_alpha   58.461
_cell_angle_beta   58.461
_cell_angle_gamma   29.900
_symmetry_Int_Tables_number   1
_cell_volume   407.065
_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
  Ce  Ce0  1  0.268  0.268  0.609  1.0
  Ce  Ce1  1  0.732  0.732  0.391  1.0
  Ce  Ce2  1  0.372  0.372  0.835  1.0
  Ce  Ce3  1  0.628  0.628  0.165  1.0
  Mg  Mg4  1  0.039  0.039  0.861  1.0
  Mg  Mg5  1  0.961  0.961  0.139  1.0
  Mg  Mg6  1  0.063  0.063  0.603  1.0
  Mg  Mg7  1  0.937  0.937  0.397  1.0
  Mg  Mg8  1  0.689  0.689  0.846  1.0
  Mg  Mg9  1  0.311  0.311  0.154  1.0
  Mg  Mg10  1  0.500  0.500  0.500  1.0
  Ge  Ge11  1  0.122  0.122  0.345  1.0
  Ge  Ge12  1  0.878  0.878  0.655  1.0
  Ge  Ge13  1  0.152  0.152  0.978  1.0
  Ge  Ge14  1  0.848  0.848  0.022  1.0
  Ge  Ge15  1  0.610  0.610  0.690  1.0
  Ge  Ge16  1  0.390  0.390  0.310  1.0
[/CIF]
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The structure described by Mg7Ce4Ge6 crystallizes in the monoclinic C2/m space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 4-coordinate geometry to two equivalent Ge(2) and two equivalent Ge(3) atoms. In the second Mg site, Mg(2) is bonded to two equivalent Ge(1) and two equivalent Ge(3) atoms to form distorted MgGe4 tetrahedra that share corners with two equivalent Ce(2)Ge6 octahedra, corners with two equivalent Mg(2)Ge4 tetrahedra, corners with four equivalent Mg(3)Ge4 tetrahedra, edges with two equivalent Ce(2)Ge6 octahedra, and  an edgeedge with one Mg(2)Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. In the third Mg site, Mg(3) is bonded to one Ge(1), one Ge(3), and two equivalent Ge(2) atoms to form distorted MgGe4 tetrahedra that share corners with three equivalent Ce(2)Ge6 octahedra, corners with two equivalent Mg(3)Ge4 tetrahedra, corners with four equivalent Mg(2)Ge4 tetrahedra, and edges with three equivalent Ce(2)Ge6 octahedra. The corner-sharing octahedral tilt angles range from 14-62°. In the fourth Mg site, Mg(4) is bonded in a 4-coordinate geometry to four equivalent Ge(1) atoms. There are two inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 5-coordinate geometry to two equivalent Ge(1) and three equivalent Ge(3) atoms. In the second Ce site, Ce(2) is bonded to one Ge(3), two equivalent Ge(1), and three equivalent Ge(2) atoms to form distorted CeGe6 octahedra that share corners with two equivalent Mg(2)Ge4 tetrahedra, corners with three equivalent Mg(3)Ge4 tetrahedra, edges with four equivalent Ce(2)Ge6 octahedra, edges with two equivalent Mg(2)Ge4 tetrahedra, and edges with three equivalent Mg(3)Ge4 tetrahedra. There are three inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to one Mg(3), two equivalent Mg(2), two equivalent Mg(4), two equivalent Ce(1), and two equivalent Ce(2) atoms. In the second Ge site, Ge(2) is bonded in a 7-coordinate geometry to two equivalent Mg(1), two equivalent Mg(3), and three equivalent Ce(2) atoms. In the third Ge site, Ge(3) is bonded in a 9-coordinate geometry to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), one Ce(2), and three equivalent Ce(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ce4Mg7Ge6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.730
_cell_length_b   8.730
_cell_length_c   12.743
_cell_angle_alpha   58.461
_cell_angle_beta   58.461
_cell_angle_gamma   29.900
_symmetry_Int_Tables_number   1
_cell_volume   407.065
_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
  Ce  Ce0  1  0.268  0.268  0.609  1.0
  Ce  Ce1  1  0.732  0.732  0.391  1.0
  Ce  Ce2  1  0.372  0.372  0.835  1.0
  Ce  Ce3  1  0.628  0.628  0.165  1.0
  Mg  Mg4  1  0.039  0.039  0.861  1.0
  Mg  Mg5  1  0.961  0.961  0.139  1.0
  Mg  Mg6  1  0.063  0.063  0.603  1.0
  Mg  Mg7  1  0.937  0.937  0.397  1.0
  Mg  Mg8  1  0.689  0.689  0.846  1.0
  Mg  Mg9  1  0.311  0.311  0.154  1.0
  Mg  Mg10  1  0.500  0.500  0.500  1.0
  Ge  Ge11  1  0.122  0.122  0.345  1.0
  Ge  Ge12  1  0.878  0.878  0.655  1.0
  Ge  Ge13  1  0.152  0.152  0.978  1.0
  Ge  Ge14  1  0.848  0.848  0.022  1.0
  Ge  Ge15  1  0.610  0.610  0.690  1.0
  Ge  Ge16  1  0.390  0.390  0.310  1.0
[/CIF]
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