The crystal structure described by Mg14CeB crystallizes in the orthorhombic Amm2 space group. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with six equivalent Mg(1)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(7)Mg12 cuboctahedra, faces with two equivalent Mg(7)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Ce2Mg10 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 10-coordinate geometry to two equivalent Mg(7); four equivalent Mg(4); and four Mg(5,5) atoms. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with six equivalent Mg(3)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(1)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(3)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg12 cuboctahedra, faces with two equivalent Mg(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)Mg12 cuboctahedra, and faces with two equivalent Ce(1)Mg12 cuboctahedra. In the fourth Mg site, Mg(4) is bonded in a 10-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms. In the fifth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ce(1), and one B(1) atom. In the sixth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ce(1), and one B(1) atom. In the seventh Mg site, Mg(6) is bonded in a 12-coordinate geometry to two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), one Ce(1), and one B(1) atom. In the eighth Mg site, Mg(7) is bonded to one Mg(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgMg12 cuboctahedra that share corners with six equivalent Mg(7)Mg12 cuboctahedra, edges with two equivalent Mg(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)Mg12 cuboctahedra, and faces with three equivalent Ce(1)Mg12 cuboctahedra. Ce(1) is bonded to two equivalent Mg(1); two equivalent Mg(6); four equivalent Mg(3); and four Mg(5,5) atoms to form CeMg12 cuboctahedra that share corners with six equivalent Ce(1)Mg12 cuboctahedra, edges with two equivalent Mg(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg10 cuboctahedra, and faces with six equivalent Mg(7)Mg12 cuboctahedra. B(1) is bonded in a 6-coordinate geometry to two equivalent Mg(6) and four Mg(5,5) atoms. is represented by the CIF card [CIF]
data_CeMg14B
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.411
_cell_length_b   6.408
_cell_length_c   10.173
_cell_angle_alpha   89.985
_cell_angle_beta   90.021
_cell_angle_gamma   120.020
_symmetry_Int_Tables_number   1
_cell_volume   361.874
_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  0.166  0.333  0.125  1.0
  Mg  Mg1  1  0.187  0.843  0.125  1.0
  Mg  Mg2  1  0.154  0.827  0.625  1.0
  Mg  Mg3  1  0.656  0.313  0.125  1.0
  Mg  Mg4  1  0.673  0.346  0.625  1.0
  Mg  Mg5  1  0.656  0.843  0.125  1.0
  Mg  Mg6  1  0.673  0.827  0.625  1.0
  Mg  Mg7  1  0.326  0.174  0.397  1.0
  Mg  Mg8  1  0.326  0.174  0.854  1.0
  Mg  Mg9  1  0.326  0.652  0.397  1.0
  Mg  Mg10  1  0.326  0.653  0.854  1.0
  Mg  Mg11  1  0.847  0.174  0.396  1.0
  Mg  Mg12  1  0.848  0.174  0.853  1.0
  Mg  Mg13  1  0.834  0.667  0.359  1.0
  Mg  Mg14  1  0.833  0.667  0.891  1.0
  B  B15  1  0.167  0.334  0.625  1.0
[/CIF]
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The crystal structure described by Mg14CeB crystallizes in the orthorhombic Amm2 space group. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(7); four equivalent Mg(3); four Mg(5,5); and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with six equivalent Mg(1)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(7)Mg12 cuboctahedra, faces with two equivalent Mg(7)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Ce2Mg10 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 10-coordinate geometry to two equivalent Mg(7); four equivalent Mg(4); and four Mg(5,5) atoms. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with six equivalent Mg(3)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(1)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(3)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg12 cuboctahedra, faces with two equivalent Mg(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)Mg12 cuboctahedra, and faces with two equivalent Ce(1)Mg12 cuboctahedra. In the fourth Mg site, Mg(4) is bonded in a 10-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms. In the fifth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ce(1), and one B(1) atom. In the sixth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ce(1), and one B(1) atom. In the seventh Mg site, Mg(6) is bonded in a 12-coordinate geometry to two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), one Ce(1), and one B(1) atom. In the eighth Mg site, Mg(7) is bonded to one Mg(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgMg12 cuboctahedra that share corners with six equivalent Mg(7)Mg12 cuboctahedra, edges with two equivalent Mg(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)Mg12 cuboctahedra, and faces with three equivalent Ce(1)Mg12 cuboctahedra. Ce(1) is bonded to two equivalent Mg(1); two equivalent Mg(6); four equivalent Mg(3); and four Mg(5,5) atoms to form CeMg12 cuboctahedra that share corners with six equivalent Ce(1)Mg12 cuboctahedra, edges with two equivalent Mg(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg10 cuboctahedra, and faces with six equivalent Mg(7)Mg12 cuboctahedra. B(1) is bonded in a 6-coordinate geometry to two equivalent Mg(6) and four Mg(5,5) atoms. is represented by the CIF card [CIF]
data_CeMg14B
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.411
_cell_length_b   6.408
_cell_length_c   10.173
_cell_angle_alpha   89.985
_cell_angle_beta   90.021
_cell_angle_gamma   120.020
_symmetry_Int_Tables_number   1
_cell_volume   361.874
_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  0.166  0.333  0.125  1.0
  Mg  Mg1  1  0.187  0.843  0.125  1.0
  Mg  Mg2  1  0.154  0.827  0.625  1.0
  Mg  Mg3  1  0.656  0.313  0.125  1.0
  Mg  Mg4  1  0.673  0.346  0.625  1.0
  Mg  Mg5  1  0.656  0.843  0.125  1.0
  Mg  Mg6  1  0.673  0.827  0.625  1.0
  Mg  Mg7  1  0.326  0.174  0.397  1.0
  Mg  Mg8  1  0.326  0.174  0.854  1.0
  Mg  Mg9  1  0.326  0.652  0.397  1.0
  Mg  Mg10  1  0.326  0.653  0.854  1.0
  Mg  Mg11  1  0.847  0.174  0.396  1.0
  Mg  Mg12  1  0.848  0.174  0.853  1.0
  Mg  Mg13  1  0.834  0.667  0.359  1.0
  Mg  Mg14  1  0.833  0.667  0.891  1.0
  B  B15  1  0.167  0.334  0.625  1.0
[/CIF]
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