The compound described by Ce5(MgGe)8 crystallizes in the monoclinic C2/m space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Ge(1) and three equivalent Ge(3) atoms to form distorted MgGe4 tetrahedra that share  a cornercorner with one Ce(3)Ge6 octahedra, corners with five equivalent Ce(1)Ge6 octahedra, corners with two equivalent Mg(4)Ce2Ge4 tetrahedra, corners with two equivalent Mg(2)CeGe4 tetrahedra, corners with two equivalent Mg(1)Ge4 tetrahedra,  an edgeedge with one Ce(1)Ge6 octahedra, edges with two equivalent Ce(3)Ge6 octahedra,  an edgeedge with one Mg(2)CeGe4 tetrahedra, and edges with two equivalent Mg(1)Ge4 tetrahedra. The corner-sharing octahedral tilt angles range from 11-58°. In the second Mg site, Mg(2) is bonded to one Ce(2), one Ge(1), one Ge(3), and two equivalent Ge(2) atoms to form distorted MgCeGe4 tetrahedra that share  a cornercorner with one Ce(1)Ge6 octahedra, corners with three equivalent Ce(3)Ge6 octahedra, corners with two equivalent Mg(3)Ce3Ge4 tetrahedra, corners with two equivalent Mg(2)CeGe4 tetrahedra, corners with two equivalent Mg(1)Ge4 tetrahedra, edges with two equivalent Ce(1)Ge6 octahedra,  an edgeedge with one Mg(1)Ge4 tetrahedra, edges with two equivalent Mg(3)Ce3Ge4 tetrahedra,  a faceface with one Mg(3)Ce3Ge4 tetrahedra, and faces with two equivalent Mg(4)Ce2Ge4 tetrahedra. The corner-sharing octahedral tilt angles range from 7-60°. In the third Mg site, Mg(3) is bonded to three equivalent Ce(2), one Ge(4), and three equivalent Ge(2) atoms to form distorted MgCe3Ge4 tetrahedra that share  a cornercorner with one Ce(1)Ge6 octahedra, corners with two equivalent Mg(2)CeGe4 tetrahedra, corners with three equivalent Mg(4)Ce2Ge4 tetrahedra, edges with two equivalent Ce(1)Ge6 octahedra, edges with two equivalent Mg(4)Ce2Ge4 tetrahedra, edges with two equivalent Mg(3)Ce3Ge4 tetrahedra, edges with two equivalent Mg(2)CeGe4 tetrahedra,  a faceface with one Mg(4)Ce2Ge4 tetrahedra,  a faceface with one Mg(2)CeGe4 tetrahedra, and faces with two equivalent Mg(3)Ce3Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. In the fourth Mg site, Mg(4) is bonded to two equivalent Ce(2), one Ge(2), one Ge(4), and two equivalent Ge(1) atoms to form distorted MgCe2Ge4 tetrahedra that share  a cornercorner with one Ce(1)Ge6 octahedra, corners with two equivalent Ce(3)Ge6 octahedra, corners with two equivalent Mg(1)Ge4 tetrahedra, corners with three equivalent Mg(3)Ce3Ge4 tetrahedra,  an edgeedge with one Ce(3)Ge6 octahedra, edges with two equivalent Ce(1)Ge6 octahedra, edges with two equivalent Mg(4)Ce2Ge4 tetrahedra, edges with two equivalent Mg(3)Ce3Ge4 tetrahedra,  a faceface with one Mg(3)Ce3Ge4 tetrahedra, and faces with two equivalent Mg(2)CeGe4 tetrahedra. The corner-sharing octahedral tilt angles range from 15-58°. There are three inequivalent Ce sites. In the first Ce site, Ce(1) is bonded to one Ge(1), one Ge(2), two equivalent Ge(3), and two equivalent Ge(4) atoms to form distorted CeGe6 octahedra that share  a cornercorner with one Mg(4)Ce2Ge4 tetrahedra,  a cornercorner with one Mg(3)Ce3Ge4 tetrahedra,  a cornercorner with one Mg(2)CeGe4 tetrahedra, corners with five equivalent Mg(1)Ge4 tetrahedra, edges with two equivalent Ce(1)Ge6 octahedra, edges with two equivalent Ce(3)Ge6 octahedra,  an edgeedge with one Mg(1)Ge4 tetrahedra, edges with two equivalent Mg(4)Ce2Ge4 tetrahedra, edges with two equivalent Mg(3)Ce3Ge4 tetrahedra, and edges with two equivalent Mg(2)CeGe4 tetrahedra. In the second Ce site, Ce(2) is bonded in a 12-coordinate geometry to one Mg(2), two equivalent Mg(4), three equivalent Mg(3), two equivalent Ge(2), and four equivalent Ge(4) atoms. In the third Ce site, Ce(3) is bonded to two equivalent Ge(3) and four equivalent Ge(1) atoms to form distorted CeGe6 octahedra that share corners with two equivalent Mg(1)Ge4 tetrahedra, corners with four equivalent Mg(4)Ce2Ge4 tetrahedra, corners with six equivalent Mg(2)CeGe4 tetrahedra, edges with two equivalent Ce(3)Ge6 octahedra, edges with four equivalent Ce(1)Ge6 octahedra, edges with two equivalent Mg(4)Ce2Ge4 tetrahedra, and edges with four equivalent Mg(1)Ge4 tetrahedra. There are four inequivalent Ge sites. In the first Ge site, Ge(4) is bonded in a 9-coordinate geometry to one Mg(3), one Mg(4), two equivalent Ce(1), four equivalent Ce(2), and one Ge(4) atom. In the second Ge site, Ge(1) is bonded in a 7-coordinate geometry to one Mg(1), one Mg(2), two equivalent Mg(4), one Ce(1), and two equivalent Ce(3) atoms. In the third Ge site, Ge(2) is bonded in a 9-coordinate geometry to one Mg(4), two equivalent Mg(2), three equivalent Mg(3), one Ce(1), and two equivalent Ce(2) atoms. In the fourth Ge site, Ge(3) is bonded in a 7-coordinate geometry to one Mg(2), three equivalent Mg(1), one Ce(3), and two equivalent Ce(1) atoms. is represented by the CIF card [CIF]
data_Ce5(MgGe)8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.505
_cell_length_b   8.505
_cell_length_c   13.200
_cell_angle_alpha   87.361
_cell_angle_beta   87.361
_cell_angle_gamma   31.307
_symmetry_Int_Tables_number   1
_cell_volume   495.512
_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  0.104  0.104  0.254  1.0
  Ce  Ce1  1  0.896  0.896  0.746  1.0
  Ce  Ce2  1  0.095  0.095  0.563  1.0
  Ce  Ce3  1  0.905  0.905  0.437  1.0
  Ce  Ce4  1  0.500  0.500  0.000  1.0
  Mg  Mg5  1  0.179  0.179  0.997  1.0
  Mg  Mg6  1  0.821  0.821  0.003  1.0
  Mg  Mg7  1  0.215  0.215  0.770  1.0
  Mg  Mg8  1  0.785  0.785  0.230  1.0
  Mg  Mg9  1  0.300  0.300  0.568  1.0
  Mg  Mg10  1  0.700  0.700  0.432  1.0
  Mg  Mg11  1  0.572  0.572  0.749  1.0
  Mg  Mg12  1  0.428  0.428  0.251  1.0
  Ge  Ge13  1  0.058  0.058  0.853  1.0
  Ge  Ge14  1  0.942  0.942  0.147  1.0
  Ge  Ge15  1  0.277  0.277  0.363  1.0
  Ge  Ge16  1  0.723  0.723  0.637  1.0
  Ge  Ge17  1  0.342  0.342  0.888  1.0
  Ge  Ge18  1  0.658  0.658  0.112  1.0
  Ge  Ge19  1  0.464  0.464  0.589  1.0
  Ge  Ge20  1  0.536  0.536  0.411  1.0
[/CIF]
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The compound described by Ce5(MgGe)8 crystallizes in the monoclinic C2/m space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Ge(1) and three equivalent Ge(3) atoms to form distorted MgGe4 tetrahedra that share  a cornercorner with one Ce(3)Ge6 octahedra, corners with five equivalent Ce(1)Ge6 octahedra, corners with two equivalent Mg(4)Ce2Ge4 tetrahedra, corners with two equivalent Mg(2)CeGe4 tetrahedra, corners with two equivalent Mg(1)Ge4 tetrahedra,  an edgeedge with one Ce(1)Ge6 octahedra, edges with two equivalent Ce(3)Ge6 octahedra,  an edgeedge with one Mg(2)CeGe4 tetrahedra, and edges with two equivalent Mg(1)Ge4 tetrahedra. The corner-sharing octahedral tilt angles range from 11-58°. In the second Mg site, Mg(2) is bonded to one Ce(2), one Ge(1), one Ge(3), and two equivalent Ge(2) atoms to form distorted MgCeGe4 tetrahedra that share  a cornercorner with one Ce(1)Ge6 octahedra, corners with three equivalent Ce(3)Ge6 octahedra, corners with two equivalent Mg(3)Ce3Ge4 tetrahedra, corners with two equivalent Mg(2)CeGe4 tetrahedra, corners with two equivalent Mg(1)Ge4 tetrahedra, edges with two equivalent Ce(1)Ge6 octahedra,  an edgeedge with one Mg(1)Ge4 tetrahedra, edges with two equivalent Mg(3)Ce3Ge4 tetrahedra,  a faceface with one Mg(3)Ce3Ge4 tetrahedra, and faces with two equivalent Mg(4)Ce2Ge4 tetrahedra. The corner-sharing octahedral tilt angles range from 7-60°. In the third Mg site, Mg(3) is bonded to three equivalent Ce(2), one Ge(4), and three equivalent Ge(2) atoms to form distorted MgCe3Ge4 tetrahedra that share  a cornercorner with one Ce(1)Ge6 octahedra, corners with two equivalent Mg(2)CeGe4 tetrahedra, corners with three equivalent Mg(4)Ce2Ge4 tetrahedra, edges with two equivalent Ce(1)Ge6 octahedra, edges with two equivalent Mg(4)Ce2Ge4 tetrahedra, edges with two equivalent Mg(3)Ce3Ge4 tetrahedra, edges with two equivalent Mg(2)CeGe4 tetrahedra,  a faceface with one Mg(4)Ce2Ge4 tetrahedra,  a faceface with one Mg(2)CeGe4 tetrahedra, and faces with two equivalent Mg(3)Ce3Ge4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. In the fourth Mg site, Mg(4) is bonded to two equivalent Ce(2), one Ge(2), one Ge(4), and two equivalent Ge(1) atoms to form distorted MgCe2Ge4 tetrahedra that share  a cornercorner with one Ce(1)Ge6 octahedra, corners with two equivalent Ce(3)Ge6 octahedra, corners with two equivalent Mg(1)Ge4 tetrahedra, corners with three equivalent Mg(3)Ce3Ge4 tetrahedra,  an edgeedge with one Ce(3)Ge6 octahedra, edges with two equivalent Ce(1)Ge6 octahedra, edges with two equivalent Mg(4)Ce2Ge4 tetrahedra, edges with two equivalent Mg(3)Ce3Ge4 tetrahedra,  a faceface with one Mg(3)Ce3Ge4 tetrahedra, and faces with two equivalent Mg(2)CeGe4 tetrahedra. The corner-sharing octahedral tilt angles range from 15-58°. There are three inequivalent Ce sites. In the first Ce site, Ce(1) is bonded to one Ge(1), one Ge(2), two equivalent Ge(3), and two equivalent Ge(4) atoms to form distorted CeGe6 octahedra that share  a cornercorner with one Mg(4)Ce2Ge4 tetrahedra,  a cornercorner with one Mg(3)Ce3Ge4 tetrahedra,  a cornercorner with one Mg(2)CeGe4 tetrahedra, corners with five equivalent Mg(1)Ge4 tetrahedra, edges with two equivalent Ce(1)Ge6 octahedra, edges with two equivalent Ce(3)Ge6 octahedra,  an edgeedge with one Mg(1)Ge4 tetrahedra, edges with two equivalent Mg(4)Ce2Ge4 tetrahedra, edges with two equivalent Mg(3)Ce3Ge4 tetrahedra, and edges with two equivalent Mg(2)CeGe4 tetrahedra. In the second Ce site, Ce(2) is bonded in a 12-coordinate geometry to one Mg(2), two equivalent Mg(4), three equivalent Mg(3), two equivalent Ge(2), and four equivalent Ge(4) atoms. In the third Ce site, Ce(3) is bonded to two equivalent Ge(3) and four equivalent Ge(1) atoms to form distorted CeGe6 octahedra that share corners with two equivalent Mg(1)Ge4 tetrahedra, corners with four equivalent Mg(4)Ce2Ge4 tetrahedra, corners with six equivalent Mg(2)CeGe4 tetrahedra, edges with two equivalent Ce(3)Ge6 octahedra, edges with four equivalent Ce(1)Ge6 octahedra, edges with two equivalent Mg(4)Ce2Ge4 tetrahedra, and edges with four equivalent Mg(1)Ge4 tetrahedra. There are four inequivalent Ge sites. In the first Ge site, Ge(4) is bonded in a 9-coordinate geometry to one Mg(3), one Mg(4), two equivalent Ce(1), four equivalent Ce(2), and one Ge(4) atom. In the second Ge site, Ge(1) is bonded in a 7-coordinate geometry to one Mg(1), one Mg(2), two equivalent Mg(4), one Ce(1), and two equivalent Ce(3) atoms. In the third Ge site, Ge(2) is bonded in a 9-coordinate geometry to one Mg(4), two equivalent Mg(2), three equivalent Mg(3), one Ce(1), and two equivalent Ce(2) atoms. In the fourth Ge site, Ge(3) is bonded in a 7-coordinate geometry to one Mg(2), three equivalent Mg(1), one Ce(3), and two equivalent Ce(1) atoms. is represented by the CIF card [CIF]
data_Ce5(MgGe)8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.505
_cell_length_b   8.505
_cell_length_c   13.200
_cell_angle_alpha   87.361
_cell_angle_beta   87.361
_cell_angle_gamma   31.307
_symmetry_Int_Tables_number   1
_cell_volume   495.512
_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  0.104  0.104  0.254  1.0
  Ce  Ce1  1  0.896  0.896  0.746  1.0
  Ce  Ce2  1  0.095  0.095  0.563  1.0
  Ce  Ce3  1  0.905  0.905  0.437  1.0
  Ce  Ce4  1  0.500  0.500  0.000  1.0
  Mg  Mg5  1  0.179  0.179  0.997  1.0
  Mg  Mg6  1  0.821  0.821  0.003  1.0
  Mg  Mg7  1  0.215  0.215  0.770  1.0
  Mg  Mg8  1  0.785  0.785  0.230  1.0
  Mg  Mg9  1  0.300  0.300  0.568  1.0
  Mg  Mg10  1  0.700  0.700  0.432  1.0
  Mg  Mg11  1  0.572  0.572  0.749  1.0
  Mg  Mg12  1  0.428  0.428  0.251  1.0
  Ge  Ge13  1  0.058  0.058  0.853  1.0
  Ge  Ge14  1  0.942  0.942  0.147  1.0
  Ge  Ge15  1  0.277  0.277  0.363  1.0
  Ge  Ge16  1  0.723  0.723  0.637  1.0
  Ge  Ge17  1  0.342  0.342  0.888  1.0
  Ge  Ge18  1  0.658  0.658  0.112  1.0
  Ge  Ge19  1  0.464  0.464  0.589  1.0
  Ge  Ge20  1  0.536  0.536  0.411  1.0
[/CIF]
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