The material structure described by Mg7Ce crystallizes in the hexagonal P-6m2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(3); four Mg(1,1); four equivalent Mg(2); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with fourteen Mg(1,1)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four Mg(1,1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(3)Mg12 cuboctahedra; edges with eight equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six Mg(1,1)Ce2Mg10 cuboctahedra; and faces with ten Mg(2,2)Ce2Mg10 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(3); four equivalent Mg(1); four Mg(2,2); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with fourteen Mg(1,1)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(3)Mg12 cuboctahedra; edges with eight Mg(2,2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six Mg(1,1)Ce2Mg10 cuboctahedra; and faces with ten Mg(2,2)Ce2Mg10 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(3); four equivalent Mg(1); four Mg(2,2); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg12 cuboctahedra; corners with fourteen Mg(2,2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(3)Mg12 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four equivalent Ce(1)Mg12 cuboctahedra; edges with eight equivalent Mg(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six Mg(2,2)Ce2Mg10 cuboctahedra; and faces with ten Mg(1,1)Ce2Mg10 cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Mg(3); four Mg(1,1); four equivalent Mg(2); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg12 cuboctahedra; corners with fourteen Mg(2,2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(3)Mg12 cuboctahedra; edges with four equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with four equivalent Ce(1)Mg12 cuboctahedra; edges with eight Mg(1,1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six Mg(2,2)Ce2Mg10 cuboctahedra; and faces with ten Mg(1,1)Ce2Mg10 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to six Mg(1,1) and six Mg(2,2) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(3)Mg12 cuboctahedra; corners with twelve Mg(2,2)Ce2Mg10 cuboctahedra; edges with six Mg(2,2)Ce2Mg10 cuboctahedra; edges with twelve Mg(1,1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with six Mg(1,1)Ce2Mg10 cuboctahedra; faces with six Mg(2,2)Ce2Mg10 cuboctahedra; and faces with six equivalent Ce(1)Mg12 cuboctahedra. Ce(1) is bonded to six Mg(1,1) and six Mg(2,2) atoms to form CeMg12 cuboctahedra that share corners with six equivalent Ce(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Ce2Mg10 cuboctahedra; edges with six Mg(1,1)Ce2Mg10 cuboctahedra; edges with twelve Mg(2,2)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six Mg(1,1)Ce2Mg10 cuboctahedra; faces with six Mg(2,2)Ce2Mg10 cuboctahedra; and faces with six equivalent Mg(3)Mg12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CeMg7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.755
_cell_length_b   6.755
_cell_length_c   5.207
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   205.792
_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  0.667  0.333  0.000  1.0
  Mg  Mg1  1  0.171  0.341  0.000  1.0
  Mg  Mg2  1  0.171  0.829  0.000  1.0
  Mg  Mg3  1  0.659  0.829  0.000  1.0
  Mg  Mg4  1  0.007  0.503  0.500  1.0
  Mg  Mg5  1  0.496  0.503  0.500  1.0
  Mg  Mg6  1  0.496  0.993  0.500  1.0
  Mg  Mg7  1  0.000  0.000  0.500  1.0
[/CIF]
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The material structure described by Mg7Ce crystallizes in the hexagonal P-6m2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(3); four Mg(1,1); four equivalent Mg(2); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with fourteen Mg(1,1)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four Mg(1,1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(3)Mg12 cuboctahedra; edges with eight equivalent Mg(2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six Mg(1,1)Ce2Mg10 cuboctahedra; and faces with ten Mg(2,2)Ce2Mg10 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(3); four equivalent Mg(1); four Mg(2,2); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg12 cuboctahedra; corners with fourteen Mg(1,1)Ce2Mg10 cuboctahedra; edges with two equivalent Ce(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ce2Mg10 cuboctahedra; edges with four equivalent Mg(3)Mg12 cuboctahedra; edges with eight Mg(2,2)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six Mg(1,1)Ce2Mg10 cuboctahedra; and faces with ten Mg(2,2)Ce2Mg10 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(3); four equivalent Mg(1); four Mg(2,2); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg12 cuboctahedra; corners with fourteen Mg(2,2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(3)Mg12 cuboctahedra; edges with four Mg(2,2)Ce2Mg10 cuboctahedra; edges with four equivalent Ce(1)Mg12 cuboctahedra; edges with eight equivalent Mg(1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six Mg(2,2)Ce2Mg10 cuboctahedra; and faces with ten Mg(1,1)Ce2Mg10 cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Mg(3); four Mg(1,1); four equivalent Mg(2); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg12 cuboctahedra; corners with fourteen Mg(2,2)Ce2Mg10 cuboctahedra; edges with two equivalent Mg(3)Mg12 cuboctahedra; edges with four equivalent Mg(2)Ce2Mg10 cuboctahedra; edges with four equivalent Ce(1)Mg12 cuboctahedra; edges with eight Mg(1,1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six Mg(2,2)Ce2Mg10 cuboctahedra; and faces with ten Mg(1,1)Ce2Mg10 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to six Mg(1,1) and six Mg(2,2) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(3)Mg12 cuboctahedra; corners with twelve Mg(2,2)Ce2Mg10 cuboctahedra; edges with six Mg(2,2)Ce2Mg10 cuboctahedra; edges with twelve Mg(1,1)Ce2Mg10 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with six Mg(1,1)Ce2Mg10 cuboctahedra; faces with six Mg(2,2)Ce2Mg10 cuboctahedra; and faces with six equivalent Ce(1)Mg12 cuboctahedra. Ce(1) is bonded to six Mg(1,1) and six Mg(2,2) atoms to form CeMg12 cuboctahedra that share corners with six equivalent Ce(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Ce2Mg10 cuboctahedra; edges with six Mg(1,1)Ce2Mg10 cuboctahedra; edges with twelve Mg(2,2)Ce2Mg10 cuboctahedra; faces with two equivalent Ce(1)Mg12 cuboctahedra; faces with six Mg(1,1)Ce2Mg10 cuboctahedra; faces with six Mg(2,2)Ce2Mg10 cuboctahedra; and faces with six equivalent Mg(3)Mg12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CeMg7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.755
_cell_length_b   6.755
_cell_length_c   5.207
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   205.792
_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  0.667  0.333  0.000  1.0
  Mg  Mg1  1  0.171  0.341  0.000  1.0
  Mg  Mg2  1  0.171  0.829  0.000  1.0
  Mg  Mg3  1  0.659  0.829  0.000  1.0
  Mg  Mg4  1  0.007  0.503  0.500  1.0
  Mg  Mg5  1  0.496  0.503  0.500  1.0
  Mg  Mg6  1  0.496  0.993  0.500  1.0
  Mg  Mg7  1  0.000  0.000  0.500  1.0
[/CIF]
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