The crystal structure described by Mg5Ce crystallizes in the trigonal R32 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to four equivalent Mg(2), six equivalent Mg(1), and two equivalent Ce(1) atoms to form MgCe2Mg10 cuboctahedra that share corners with eighteen equivalent Mg(1)Ce2Mg10 cuboctahedra, edges with four equivalent Ce(1)Mg12 cuboctahedra, edges with six equivalent Mg(1)Ce2Mg10 cuboctahedra, edges with eight equivalent Mg(2)Ce3Mg9 cuboctahedra, faces with four equivalent Ce(1)Mg12 cuboctahedra, faces with eight equivalent Mg(1)Ce2Mg10 cuboctahedra, and faces with eight equivalent Mg(2)Ce3Mg9 cuboctahedra. In the second Mg site, Mg(2) is bonded to three equivalent Mg(2), six equivalent Mg(1), and three equivalent Ce(1) atoms to form MgCe3Mg9 cuboctahedra that share corners with six equivalent Ce(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(2)Ce3Mg9 cuboctahedra, edges with six equivalent Mg(2)Ce3Mg9 cuboctahedra, edges with twelve equivalent Mg(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(2)Ce3Mg9 cuboctahedra, faces with four equivalent Ce(1)Mg12 cuboctahedra, and faces with twelve equivalent Mg(1)Ce2Mg10 cuboctahedra. Ce(1) is bonded to six equivalent Mg(1) and six equivalent Mg(2) atoms to form CeMg12 cuboctahedra that share corners with six equivalent Ce(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(2)Ce3Mg9 cuboctahedra, edges with six equivalent Ce(1)Mg12 cuboctahedra, edges with twelve equivalent Mg(1)Ce2Mg10 cuboctahedra, faces with eight equivalent Mg(2)Ce3Mg9 cuboctahedra, and faces with twelve equivalent Mg(1)Ce2Mg10 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CeMg5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.366
_cell_length_b   6.366
_cell_length_c   6.366
_cell_angle_alpha   52.373
_cell_angle_beta   52.373
_cell_angle_gamma   52.373
_symmetry_Int_Tables_number   1
_cell_volume   149.766
_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  0.500  0.500  0.500  1.0
  Mg  Mg1  1  0.000  0.669  0.331  1.0
  Mg  Mg2  1  0.167  0.167  0.167  1.0
  Mg  Mg3  1  0.331  0.000  0.669  1.0
  Mg  Mg4  1  0.669  0.331  0.000  1.0
  Mg  Mg5  1  0.833  0.833  0.833  1.0
[/CIF]
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The crystal structure described by Mg5Ce crystallizes in the trigonal R32 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to four equivalent Mg(2), six equivalent Mg(1), and two equivalent Ce(1) atoms to form MgCe2Mg10 cuboctahedra that share corners with eighteen equivalent Mg(1)Ce2Mg10 cuboctahedra, edges with four equivalent Ce(1)Mg12 cuboctahedra, edges with six equivalent Mg(1)Ce2Mg10 cuboctahedra, edges with eight equivalent Mg(2)Ce3Mg9 cuboctahedra, faces with four equivalent Ce(1)Mg12 cuboctahedra, faces with eight equivalent Mg(1)Ce2Mg10 cuboctahedra, and faces with eight equivalent Mg(2)Ce3Mg9 cuboctahedra. In the second Mg site, Mg(2) is bonded to three equivalent Mg(2), six equivalent Mg(1), and three equivalent Ce(1) atoms to form MgCe3Mg9 cuboctahedra that share corners with six equivalent Ce(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(2)Ce3Mg9 cuboctahedra, edges with six equivalent Mg(2)Ce3Mg9 cuboctahedra, edges with twelve equivalent Mg(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(2)Ce3Mg9 cuboctahedra, faces with four equivalent Ce(1)Mg12 cuboctahedra, and faces with twelve equivalent Mg(1)Ce2Mg10 cuboctahedra. Ce(1) is bonded to six equivalent Mg(1) and six equivalent Mg(2) atoms to form CeMg12 cuboctahedra that share corners with six equivalent Ce(1)Mg12 cuboctahedra, corners with twelve equivalent Mg(2)Ce3Mg9 cuboctahedra, edges with six equivalent Ce(1)Mg12 cuboctahedra, edges with twelve equivalent Mg(1)Ce2Mg10 cuboctahedra, faces with eight equivalent Mg(2)Ce3Mg9 cuboctahedra, and faces with twelve equivalent Mg(1)Ce2Mg10 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CeMg5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.366
_cell_length_b   6.366
_cell_length_c   6.366
_cell_angle_alpha   52.373
_cell_angle_beta   52.373
_cell_angle_gamma   52.373
_symmetry_Int_Tables_number   1
_cell_volume   149.766
_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  0.500  0.500  0.500  1.0
  Mg  Mg1  1  0.000  0.669  0.331  1.0
  Mg  Mg2  1  0.167  0.167  0.167  1.0
  Mg  Mg3  1  0.331  0.000  0.669  1.0
  Mg  Mg4  1  0.669  0.331  0.000  1.0
  Mg  Mg5  1  0.833  0.833  0.833  1.0
[/CIF]
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