The compound described by NaMg14Cr crystallizes in the hexagonal P-6m2 space group. Na(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form NaMg12 cuboctahedra that share corners with six equivalent Na(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with six equivalent Mg(1)Na2Mg10 cuboctahedra; edges with twelve Mg(3,3)NaMg10Cr cuboctahedra; faces with two equivalent Cr(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six equivalent Mg(1)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Cr cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Na(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Cr(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Na2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Na2Mg10 cuboctahedra; edges with eight Mg(3,3)NaMg10Cr cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)Na2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaMg10Cr cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four equivalent Mg(2); four Mg(3,3); and two equivalent Cr(1) atoms to form MgMg10Cr2 cuboctahedra that share corners with four equivalent Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with eight equivalent Mg(1)Na2Mg10 cuboctahedra; edges with two equivalent Cr(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)NaMg10Cr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(1)Na2Mg10 cuboctahedra; faces with two equivalent Cr(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Cr2 cuboctahedra; and faces with ten Mg(3,3)NaMg10Cr cuboctahedra. In the third Mg site, Mg(3) is bonded to one Na(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Cr(1) atom to form distorted MgNaMg10Cr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaMg10Cr cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Cr(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(1)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaMg10Cr cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Cr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with five equivalent Mg(1)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Cr cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Cr(1) atom to form distorted MgNaMg10Cr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaMg10Cr cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Cr(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)NaMg10Cr cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Cr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with five equivalent Mg(1)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Cr cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)NaMg10Cr cuboctahedra; edges with six equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with six equivalent Mg(1)Na2Mg10 cuboctahedra; edges with six Mg(3,3)NaMg10Cr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Na(1)Mg12 cuboctahedra; faces with three equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with three equivalent Mg(1)Na2Mg10 cuboctahedra; faces with three equivalent Cr(1)Mg12 cuboctahedra; and faces with six Mg(3,3)NaMg10Cr cuboctahedra. Cr(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form CrMg12 cuboctahedra that share corners with six equivalent Cr(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Na2Mg10 cuboctahedra; edges with six equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with twelve Mg(3,3)NaMg10Cr cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with six equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)NaMg10Cr cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_NaMg14Cr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.409
_cell_length_b   6.409
_cell_length_c   10.216
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   363.455
_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
  Na  Na0  1  0.167  0.333  0.125  1.0
  Mg  Mg1  1  0.169  0.834  0.125  1.0
  Mg  Mg2  1  0.168  0.834  0.625  1.0
  Mg  Mg3  1  0.666  0.331  0.125  1.0
  Mg  Mg4  1  0.666  0.332  0.625  1.0
  Mg  Mg5  1  0.666  0.834  0.125  1.0
  Mg  Mg6  1  0.666  0.834  0.625  1.0
  Mg  Mg7  1  0.333  0.167  0.381  1.0
  Mg  Mg8  1  0.333  0.167  0.869  1.0
  Mg  Mg9  1  0.333  0.665  0.381  1.0
  Mg  Mg10  1  0.333  0.665  0.869  1.0
  Mg  Mg11  1  0.835  0.167  0.381  1.0
  Mg  Mg12  1  0.835  0.167  0.869  1.0
  Mg  Mg13  1  0.833  0.667  0.372  1.0
  Mg  Mg14  1  0.833  0.667  0.878  1.0
  Cr  Cr15  1  0.167  0.333  0.625  1.0
[/CIF]
.
The compound described by NaMg14Cr crystallizes in the hexagonal P-6m2 space group. Na(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form NaMg12 cuboctahedra that share corners with six equivalent Na(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with six equivalent Mg(1)Na2Mg10 cuboctahedra; edges with twelve Mg(3,3)NaMg10Cr cuboctahedra; faces with two equivalent Cr(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six equivalent Mg(1)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Cr cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Na(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Cr(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Na2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Na2Mg10 cuboctahedra; edges with eight Mg(3,3)NaMg10Cr cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)Na2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaMg10Cr cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four equivalent Mg(2); four Mg(3,3); and two equivalent Cr(1) atoms to form MgMg10Cr2 cuboctahedra that share corners with four equivalent Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Cr2 cuboctahedra; corners with eight equivalent Mg(1)Na2Mg10 cuboctahedra; edges with two equivalent Cr(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)NaMg10Cr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(1)Na2Mg10 cuboctahedra; faces with two equivalent Cr(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Cr2 cuboctahedra; and faces with ten Mg(3,3)NaMg10Cr cuboctahedra. In the third Mg site, Mg(3) is bonded to one Na(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Cr(1) atom to form distorted MgNaMg10Cr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaMg10Cr cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Cr(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(1)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaMg10Cr cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Cr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with five equivalent Mg(1)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Cr cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Cr(1) atom to form distorted MgNaMg10Cr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaMg10Cr cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Cr(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)NaMg10Cr cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Cr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with five equivalent Mg(1)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Cr cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)NaMg10Cr cuboctahedra; edges with six equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with six equivalent Mg(1)Na2Mg10 cuboctahedra; edges with six Mg(3,3)NaMg10Cr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Na(1)Mg12 cuboctahedra; faces with three equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with three equivalent Mg(1)Na2Mg10 cuboctahedra; faces with three equivalent Cr(1)Mg12 cuboctahedra; and faces with six Mg(3,3)NaMg10Cr cuboctahedra. Cr(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form CrMg12 cuboctahedra that share corners with six equivalent Cr(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Na2Mg10 cuboctahedra; edges with six equivalent Mg(2)Mg10Cr2 cuboctahedra; edges with twelve Mg(3,3)NaMg10Cr cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with six equivalent Mg(2)Mg10Cr2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)NaMg10Cr cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_NaMg14Cr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.409
_cell_length_b   6.409
_cell_length_c   10.216
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   363.455
_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
  Na  Na0  1  0.167  0.333  0.125  1.0
  Mg  Mg1  1  0.169  0.834  0.125  1.0
  Mg  Mg2  1  0.168  0.834  0.625  1.0
  Mg  Mg3  1  0.666  0.331  0.125  1.0
  Mg  Mg4  1  0.666  0.332  0.625  1.0
  Mg  Mg5  1  0.666  0.834  0.125  1.0
  Mg  Mg6  1  0.666  0.834  0.625  1.0
  Mg  Mg7  1  0.333  0.167  0.381  1.0
  Mg  Mg8  1  0.333  0.167  0.869  1.0
  Mg  Mg9  1  0.333  0.665  0.381  1.0
  Mg  Mg10  1  0.333  0.665  0.869  1.0
  Mg  Mg11  1  0.835  0.167  0.381  1.0
  Mg  Mg12  1  0.835  0.167  0.869  1.0
  Mg  Mg13  1  0.833  0.667  0.372  1.0
  Mg  Mg14  1  0.833  0.667  0.878  1.0
  Cr  Cr15  1  0.167  0.333  0.625  1.0
[/CIF]
.