The crystal structure described by NaMg6Ce crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Ce(1) atoms to form NaCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Na2Mg10 cuboctahedra, corners with six equivalent Na(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Na2Ce2Mg8 cuboctahedra, edges with two equivalent Ce(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(1)Na2Ce2Mg8 cuboctahedra, faces with two equivalent Na(1)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Na2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Na2Ce2Mg8 cuboctahedra. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms to form distorted MgNa2Ce2Mg8 cuboctahedra that share corners with four equivalent Na(1)Ce2Mg10 cuboctahedra, corners with four equivalent Ce(1)Na2Mg10 cuboctahedra, corners with ten equivalent Mg(1)Na2Ce2Mg8 cuboctahedra, edges with two equivalent Na(1)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(1)Na2Ce2Mg8 cuboctahedra, edges with two equivalent Ce(1)Na2Mg10 cuboctahedra, faces with two equivalent Na(1)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Na2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Na2Ce2Mg8 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Ce(1) atoms. In the fourth Mg site, Mg(4) is bonded in a distorted water-like geometry to two equivalent Na(1), two equivalent Mg(3), four equivalent Mg(1), and four equivalent Mg(2) atoms. Ce(1) is bonded to two equivalent Na(1), two equivalent Mg(3), four equivalent Mg(1), and four equivalent Mg(2) atoms to form CeNa2Mg10 cuboctahedra that share corners with four equivalent Na(1)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Na2Ce2Mg8 cuboctahedra, edges with two equivalent Na(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(1)Na2Ce2Mg8 cuboctahedra, faces with two equivalent Na(1)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Na2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Na2Ce2Mg8 cuboctahedra. is represented by the CIF file [CIF]
data_NaCeMg6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.196
_cell_length_b   6.657
_cell_length_c   6.716
_cell_angle_alpha   119.709
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   201.752
_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  0.170  0.340  1.0
  Mg  Mg1  1  0.500  0.666  0.845  1.0
  Mg  Mg2  1  0.500  0.179  0.845  1.0
  Mg  Mg3  1  1.000  0.826  0.149  1.0
  Mg  Mg4  1  1.000  0.323  0.149  1.0
  Mg  Mg5  1  1.000  0.339  0.679  1.0
  Mg  Mg6  1  1.000  0.831  0.663  1.0
  Na  Na7  1  0.500  0.665  0.330  1.0
[/CIF]
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The crystal structure described by NaMg6Ce crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Ce(1) atoms to form NaCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Na2Mg10 cuboctahedra, corners with six equivalent Na(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Na2Ce2Mg8 cuboctahedra, edges with two equivalent Ce(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(1)Na2Ce2Mg8 cuboctahedra, faces with two equivalent Na(1)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Na2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Na2Ce2Mg8 cuboctahedra. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms to form distorted MgNa2Ce2Mg8 cuboctahedra that share corners with four equivalent Na(1)Ce2Mg10 cuboctahedra, corners with four equivalent Ce(1)Na2Mg10 cuboctahedra, corners with ten equivalent Mg(1)Na2Ce2Mg8 cuboctahedra, edges with two equivalent Na(1)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(1)Na2Ce2Mg8 cuboctahedra, edges with two equivalent Ce(1)Na2Mg10 cuboctahedra, faces with two equivalent Na(1)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Na2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Na2Ce2Mg8 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Ce(1) atoms. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Ce(1) atoms. In the fourth Mg site, Mg(4) is bonded in a distorted water-like geometry to two equivalent Na(1), two equivalent Mg(3), four equivalent Mg(1), and four equivalent Mg(2) atoms. Ce(1) is bonded to two equivalent Na(1), two equivalent Mg(3), four equivalent Mg(1), and four equivalent Mg(2) atoms to form CeNa2Mg10 cuboctahedra that share corners with four equivalent Na(1)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Na2Ce2Mg8 cuboctahedra, edges with two equivalent Na(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(1)Na2Ce2Mg8 cuboctahedra, faces with two equivalent Na(1)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Na2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Na2Ce2Mg8 cuboctahedra. is represented by the CIF file [CIF]
data_NaCeMg6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.196
_cell_length_b   6.657
_cell_length_c   6.716
_cell_angle_alpha   119.709
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   201.752
_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  0.170  0.340  1.0
  Mg  Mg1  1  0.500  0.666  0.845  1.0
  Mg  Mg2  1  0.500  0.179  0.845  1.0
  Mg  Mg3  1  1.000  0.826  0.149  1.0
  Mg  Mg4  1  1.000  0.323  0.149  1.0
  Mg  Mg5  1  1.000  0.339  0.679  1.0
  Mg  Mg6  1  1.000  0.831  0.663  1.0
  Na  Na7  1  0.500  0.665  0.330  1.0
[/CIF]
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