The compound described by BaMg14Cr is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. Ba(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cr(1) atoms to form BaMg10Cr2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ba(1)Mg10Cr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cr(1)Ba2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with four equivalent Mg(6)BaMg11 cuboctahedra, edges with eight equivalent Mg(5)BaMg10Cr cuboctahedra, faces with two equivalent Mg(6)BaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Ba2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, and faces with four equivalent Mg(5)BaMg10Cr cuboctahedra. 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)Ba2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)BaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)BaMg10Cr cuboctahedra, faces with two equivalent Ba(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(6)BaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)BaMg10Cr 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 Ba(1)Mg10Cr2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)BaMg10Cr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Ba2Mg10 cuboctahedra, faces with four equivalent Mg(5)BaMg10Cr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)BaMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Ba(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Cr(1) atoms to form distorted MgBa2Mg8Cr2 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)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Ba(1)Mg10Cr2 cuboctahedra, edges with two equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Cr(1)Ba2Mg10 cuboctahedra, edges with four equivalent Mg(5)BaMg10Cr cuboctahedra, edges with four equivalent Mg(6)BaMg11 cuboctahedra, faces with two equivalent Ba(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, faces with two equivalent Mg(6)BaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Cr(1)Ba2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)BaMg10Cr 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 Ba(1)Mg10Cr2 cuboctahedra, corners with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, corners with four equivalent Cr(1)Ba2Mg10 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)BaMg10Cr cuboctahedra, edges with four equivalent Mg(6)BaMg11 cuboctahedra, faces with two equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, faces with two equivalent Mg(6)BaMg11 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)BaMg10Cr cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Ba(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Cr(1) atom to form distorted MgBaMg10Cr cuboctahedra that share corners with four equivalent Mg(6)BaMg11 cuboctahedra, corners with ten equivalent Mg(5)BaMg10Cr cuboctahedra, edges with two equivalent Ba(1)Mg10Cr2 cuboctahedra, edges with two equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(5)BaMg10Cr cuboctahedra, edges with two equivalent Mg(6)BaMg11 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 Cr(1)Ba2Mg10 cuboctahedra,  a faceface with one Ba(1)Mg10Cr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cr(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(6)BaMg11 cuboctahedra, faces with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, faces with four equivalent Mg(5)BaMg10Cr cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Ba(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form distorted MgBaMg11 cuboctahedra that share corners with six equivalent Mg(6)BaMg11 cuboctahedra, corners with eight equivalent Mg(5)BaMg10Cr cuboctahedra, edges with two equivalent Ba(1)Mg10Cr2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with four equivalent Mg(5)BaMg10Cr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Ba(1)Mg10Cr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, faces with two equivalent Mg(6)BaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cr(1)Ba2Mg10 cuboctahedra, and faces with four equivalent Mg(5)BaMg10Cr 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. Cr(1) is bonded to two equivalent Ba(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form distorted CrBa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cr(1)Ba2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ba(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with eight equivalent Mg(5)BaMg10Cr cuboctahedra, faces with two equivalent Ba(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, faces with four equivalent Mg(5)BaMg10Cr cuboctahedra, and faces with six equivalent Mg(6)BaMg11 cuboctahedra. is represented by the CIF card [CIF]
data_BaMg14Cr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.605
_cell_length_b   6.462
_cell_length_c   10.568
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.288
_symmetry_Int_Tables_number   1
_cell_volume   393.363
_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
  Ba  Ba0  1  0.157  0.329  0.125  1.0
  Mg  Mg1  1  0.167  0.334  0.625  1.0
  Mg  Mg2  1  0.162  0.831  0.625  1.0
  Mg  Mg3  1  0.654  0.318  0.125  1.0
  Mg  Mg4  1  0.666  0.338  0.625  1.0
  Mg  Mg5  1  0.654  0.836  0.125  1.0
  Mg  Mg6  1  0.666  0.829  0.625  1.0
  Mg  Mg7  1  0.340  0.161  0.387  1.0
  Mg  Mg8  1  0.340  0.161  0.863  1.0
  Mg  Mg9  1  0.340  0.680  0.387  1.0
  Mg  Mg10  1  0.340  0.680  0.863  1.0
  Mg  Mg11  1  0.825  0.163  0.392  1.0
  Mg  Mg12  1  0.825  0.163  0.858  1.0
  Mg  Mg13  1  0.842  0.671  0.363  1.0
  Mg  Mg14  1  0.842  0.671  0.887  1.0
  Cr  Cr15  1  0.177  0.839  0.125  1.0
[/CIF]
.
The compound described by BaMg14Cr is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. Ba(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cr(1) atoms to form BaMg10Cr2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ba(1)Mg10Cr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cr(1)Ba2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with four equivalent Mg(6)BaMg11 cuboctahedra, edges with eight equivalent Mg(5)BaMg10Cr cuboctahedra, faces with two equivalent Mg(6)BaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Ba2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, and faces with four equivalent Mg(5)BaMg10Cr cuboctahedra. 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)Ba2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)BaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)BaMg10Cr cuboctahedra, faces with two equivalent Ba(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(6)BaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)BaMg10Cr 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 Ba(1)Mg10Cr2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)BaMg10Cr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Ba2Mg10 cuboctahedra, faces with four equivalent Mg(5)BaMg10Cr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)BaMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Ba(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Cr(1) atoms to form distorted MgBa2Mg8Cr2 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)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Ba(1)Mg10Cr2 cuboctahedra, edges with two equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Cr(1)Ba2Mg10 cuboctahedra, edges with four equivalent Mg(5)BaMg10Cr cuboctahedra, edges with four equivalent Mg(6)BaMg11 cuboctahedra, faces with two equivalent Ba(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, faces with two equivalent Mg(6)BaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Cr(1)Ba2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)BaMg10Cr 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 Ba(1)Mg10Cr2 cuboctahedra, corners with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, corners with four equivalent Cr(1)Ba2Mg10 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)BaMg10Cr cuboctahedra, edges with four equivalent Mg(6)BaMg11 cuboctahedra, faces with two equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, faces with two equivalent Mg(6)BaMg11 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)BaMg10Cr cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Ba(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Cr(1) atom to form distorted MgBaMg10Cr cuboctahedra that share corners with four equivalent Mg(6)BaMg11 cuboctahedra, corners with ten equivalent Mg(5)BaMg10Cr cuboctahedra, edges with two equivalent Ba(1)Mg10Cr2 cuboctahedra, edges with two equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Mg(5)BaMg10Cr cuboctahedra, edges with two equivalent Mg(6)BaMg11 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 Cr(1)Ba2Mg10 cuboctahedra,  a faceface with one Ba(1)Mg10Cr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cr(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(6)BaMg11 cuboctahedra, faces with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, faces with four equivalent Mg(5)BaMg10Cr cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Ba(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form distorted MgBaMg11 cuboctahedra that share corners with six equivalent Mg(6)BaMg11 cuboctahedra, corners with eight equivalent Mg(5)BaMg10Cr cuboctahedra, edges with two equivalent Ba(1)Mg10Cr2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with four equivalent Mg(5)BaMg10Cr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Ba(1)Mg10Cr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, faces with two equivalent Mg(6)BaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cr(1)Ba2Mg10 cuboctahedra, and faces with four equivalent Mg(5)BaMg10Cr 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. Cr(1) is bonded to two equivalent Ba(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form distorted CrBa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cr(1)Ba2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ba(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, edges with eight equivalent Mg(5)BaMg10Cr cuboctahedra, faces with two equivalent Ba(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Ba2Mg8Cr2 cuboctahedra, faces with four equivalent Mg(5)BaMg10Cr cuboctahedra, and faces with six equivalent Mg(6)BaMg11 cuboctahedra. is represented by the CIF card [CIF]
data_BaMg14Cr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.605
_cell_length_b   6.462
_cell_length_c   10.568
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.288
_symmetry_Int_Tables_number   1
_cell_volume   393.363
_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
  Ba  Ba0  1  0.157  0.329  0.125  1.0
  Mg  Mg1  1  0.167  0.334  0.625  1.0
  Mg  Mg2  1  0.162  0.831  0.625  1.0
  Mg  Mg3  1  0.654  0.318  0.125  1.0
  Mg  Mg4  1  0.666  0.338  0.625  1.0
  Mg  Mg5  1  0.654  0.836  0.125  1.0
  Mg  Mg6  1  0.666  0.829  0.625  1.0
  Mg  Mg7  1  0.340  0.161  0.387  1.0
  Mg  Mg8  1  0.340  0.161  0.863  1.0
  Mg  Mg9  1  0.340  0.680  0.387  1.0
  Mg  Mg10  1  0.340  0.680  0.863  1.0
  Mg  Mg11  1  0.825  0.163  0.392  1.0
  Mg  Mg12  1  0.825  0.163  0.858  1.0
  Mg  Mg13  1  0.842  0.671  0.363  1.0
  Mg  Mg14  1  0.842  0.671  0.887  1.0
  Cr  Cr15  1  0.177  0.839  0.125  1.0
[/CIF]
.