The material described by Mg14CeCr crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cr(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Cr cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Cr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Cr cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ce(1)Mg10Cr2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Cr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(5)CeMg10Cr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)CeMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Ce(1), and two equivalent Cr(1) atoms to form distorted MgCe2Mg8Cr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with two equivalent Ce(1)Mg10Cr2 cuboctahedra, edges with two equivalent Cr(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(5)CeMg10Cr cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Cr2 cuboctahedra, faces with two equivalent Cr(1)Ce2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Cr cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, corners with four equivalent Ce(1)Mg10Cr2 cuboctahedra, corners with four equivalent Cr(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)CeMg10Cr cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Cr cuboctahedra. In the fifth Mg site, Mg(5) is bonded 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 Cr(1) atom to form distorted MgCeMg10Cr cuboctahedra that share corners with four equivalent Mg(6)CeMg11 cuboctahedra, corners with ten equivalent Mg(5)CeMg10Cr cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(5)CeMg10Cr cuboctahedra, edges with two equivalent Mg(6)CeMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Cr2 cuboctahedra, edges with two equivalent Cr(1)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Cr2 cuboctahedra,  a faceface with one Cr(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Cr cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Ce(1) atom to form distorted MgCeMg11 cuboctahedra that share corners with six equivalent Mg(6)CeMg11 cuboctahedra, corners with eight equivalent Mg(5)CeMg10Cr cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Cr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cr(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Cr cuboctahedra. In the seventh Mg site, Mg(7) is bonded in a distorted single-bond geometry to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Cr(1) atom. Ce(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cr(1) atoms to form CeMg10Cr2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ce(1)Mg10Cr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cr(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Cr cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Cr cuboctahedra. Cr(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms to form distorted CrCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cr(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Cr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Cr2 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Cr cuboctahedra, and faces with six equivalent Mg(6)CeMg11 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CeMg14Cr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.472
_cell_length_b   6.247
_cell_length_c   10.269
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.857
_symmetry_Int_Tables_number   1
_cell_volume   363.680
_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  0.151  0.326  0.125  1.0
  Mg  Mg1  1  0.166  0.333  0.625  1.0
  Mg  Mg2  1  0.162  0.831  0.625  1.0
  Mg  Mg3  1  0.648  0.315  0.125  1.0
  Mg  Mg4  1  0.665  0.335  0.625  1.0
  Mg  Mg5  1  0.648  0.833  0.125  1.0
  Mg  Mg6  1  0.665  0.830  0.625  1.0
  Mg  Mg7  1  0.340  0.166  0.378  1.0
  Mg  Mg8  1  0.340  0.166  0.872  1.0
  Mg  Mg9  1  0.340  0.674  0.378  1.0
  Mg  Mg10  1  0.340  0.674  0.872  1.0
  Mg  Mg11  1  0.832  0.166  0.385  1.0
  Mg  Mg12  1  0.832  0.166  0.865  1.0
  Mg  Mg13  1  0.847  0.673  0.360  1.0
  Mg  Mg14  1  0.847  0.673  0.890  1.0
  Cr  Cr15  1  0.177  0.838  0.125  1.0
[/CIF]
.
The material described by Mg14CeCr crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cr(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Cr cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Cr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Cr cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ce(1)Mg10Cr2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Cr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(5)CeMg10Cr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)CeMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Ce(1), and two equivalent Cr(1) atoms to form distorted MgCe2Mg8Cr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with two equivalent Ce(1)Mg10Cr2 cuboctahedra, edges with two equivalent Cr(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(5)CeMg10Cr cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Cr2 cuboctahedra, faces with two equivalent Cr(1)Ce2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Cr cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, corners with four equivalent Ce(1)Mg10Cr2 cuboctahedra, corners with four equivalent Cr(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)CeMg10Cr cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Cr cuboctahedra. In the fifth Mg site, Mg(5) is bonded 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 Cr(1) atom to form distorted MgCeMg10Cr cuboctahedra that share corners with four equivalent Mg(6)CeMg11 cuboctahedra, corners with ten equivalent Mg(5)CeMg10Cr cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(5)CeMg10Cr cuboctahedra, edges with two equivalent Mg(6)CeMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Cr2 cuboctahedra, edges with two equivalent Cr(1)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Cr2 cuboctahedra,  a faceface with one Cr(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Cr cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Ce(1) atom to form distorted MgCeMg11 cuboctahedra that share corners with six equivalent Mg(6)CeMg11 cuboctahedra, corners with eight equivalent Mg(5)CeMg10Cr cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Cr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cr(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Cr cuboctahedra. In the seventh Mg site, Mg(7) is bonded in a distorted single-bond geometry to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Cr(1) atom. Ce(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cr(1) atoms to form CeMg10Cr2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ce(1)Mg10Cr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cr(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with four equivalent Mg(6)CeMg11 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Cr cuboctahedra, faces with two equivalent Mg(6)CeMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Cr cuboctahedra. Cr(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms to form distorted CrCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cr(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Cr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Cr2 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Cr2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Cr cuboctahedra, and faces with six equivalent Mg(6)CeMg11 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CeMg14Cr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.472
_cell_length_b   6.247
_cell_length_c   10.269
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.857
_symmetry_Int_Tables_number   1
_cell_volume   363.680
_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  0.151  0.326  0.125  1.0
  Mg  Mg1  1  0.166  0.333  0.625  1.0
  Mg  Mg2  1  0.162  0.831  0.625  1.0
  Mg  Mg3  1  0.648  0.315  0.125  1.0
  Mg  Mg4  1  0.665  0.335  0.625  1.0
  Mg  Mg5  1  0.648  0.833  0.125  1.0
  Mg  Mg6  1  0.665  0.830  0.625  1.0
  Mg  Mg7  1  0.340  0.166  0.378  1.0
  Mg  Mg8  1  0.340  0.166  0.872  1.0
  Mg  Mg9  1  0.340  0.674  0.378  1.0
  Mg  Mg10  1  0.340  0.674  0.872  1.0
  Mg  Mg11  1  0.832  0.166  0.385  1.0
  Mg  Mg12  1  0.832  0.166  0.865  1.0
  Mg  Mg13  1  0.847  0.673  0.360  1.0
  Mg  Mg14  1  0.847  0.673  0.890  1.0
  Cr  Cr15  1  0.177  0.838  0.125  1.0
[/CIF]
.