The structure described by CsBaMg14 crystallizes in the orthorhombic Amm2 space group. Cs(1) is bonded to two equivalent Ba(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form CsBa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Cs(1)Ba2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ba(1)Cs2Mg10 cuboctahedra, faces with two equivalent Ba(1)Cs2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, and faces with six equivalent Mg(7)BaMg11 cuboctahedra. Ba(1) is bonded to two equivalent Cs(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form BaCs2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ba(1)Cs2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cs(1)Ba2Mg10 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Cs(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, and faces with two equivalent Mg(2)Mg12 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 Ba(1)Cs2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Cs(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)BaMg11 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 Cs(1)Ba2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ba(1)Cs2Mg10 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 4-coordinate geometry to two equivalent Cs(1), two equivalent Ba(1), two equivalent Mg(6), and two equivalent Mg(7) atoms. 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 distorted MgMg12 cuboctahedra that share corners with four equivalent Cs(1)Ba2Mg10 cuboctahedra, corners with four equivalent Ba(1)Cs2Mg10 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(7)BaMg11 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with two equivalent Mg(4)Mg12 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 11-coordinate geometry to one Cs(1), one Ba(1), one Mg(1), one Mg(2), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms. In the sixth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one Cs(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms. In the seventh Mg site, Mg(7) is bonded to one Ba(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 MgBaMg11 cuboctahedra that share corners with six equivalent Mg(7)BaMg11 cuboctahedra, edges with two equivalent Ba(1)Cs2Mg10 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Ba(1)Cs2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Cs(1)Ba2Mg10 cuboctahedra, and faces with three equivalent Mg(1)Mg12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CsBaMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.772
_cell_length_b   6.694
_cell_length_c   11.093
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.623
_symmetry_Int_Tables_number   1
_cell_volume   437.122
_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
  Cs  Cs0  1  0.173  0.337  0.125  1.0
  Ba  Ba1  1  0.181  0.840  0.125  1.0
  Mg  Mg2  1  0.159  0.329  0.625  1.0
  Mg  Mg3  1  0.158  0.829  0.625  1.0
  Mg  Mg4  1  0.673  0.340  0.125  1.0
  Mg  Mg5  1  0.671  0.336  0.625  1.0
  Mg  Mg6  1  0.673  0.833  0.125  1.0
  Mg  Mg7  1  0.671  0.835  0.625  1.0
  Mg  Mg8  1  0.341  0.169  0.405  1.0
  Mg  Mg9  1  0.341  0.169  0.845  1.0
  Mg  Mg10  1  0.341  0.673  0.405  1.0
  Mg  Mg11  1  0.341  0.673  0.845  1.0
  Mg  Mg12  1  0.816  0.158  0.390  1.0
  Mg  Mg13  1  0.816  0.158  0.860  1.0
  Mg  Mg14  1  0.821  0.661  0.385  1.0
  Mg  Mg15  1  0.821  0.661  0.865  1.0
[/CIF]
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The structure described by CsBaMg14 crystallizes in the orthorhombic Amm2 space group. Cs(1) is bonded to two equivalent Ba(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form CsBa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Cs(1)Ba2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ba(1)Cs2Mg10 cuboctahedra, faces with two equivalent Ba(1)Cs2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, and faces with six equivalent Mg(7)BaMg11 cuboctahedra. Ba(1) is bonded to two equivalent Cs(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form BaCs2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ba(1)Cs2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cs(1)Ba2Mg10 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Cs(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, and faces with two equivalent Mg(2)Mg12 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 Ba(1)Cs2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Cs(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)BaMg11 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 Cs(1)Ba2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ba(1)Cs2Mg10 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 4-coordinate geometry to two equivalent Cs(1), two equivalent Ba(1), two equivalent Mg(6), and two equivalent Mg(7) atoms. 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 distorted MgMg12 cuboctahedra that share corners with four equivalent Cs(1)Ba2Mg10 cuboctahedra, corners with four equivalent Ba(1)Cs2Mg10 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(7)BaMg11 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with two equivalent Mg(4)Mg12 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 11-coordinate geometry to one Cs(1), one Ba(1), one Mg(1), one Mg(2), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms. In the sixth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one Cs(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms. In the seventh Mg site, Mg(7) is bonded to one Ba(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 MgBaMg11 cuboctahedra that share corners with six equivalent Mg(7)BaMg11 cuboctahedra, edges with two equivalent Ba(1)Cs2Mg10 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Ba(1)Cs2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Cs(1)Ba2Mg10 cuboctahedra, and faces with three equivalent Mg(1)Mg12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CsBaMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.772
_cell_length_b   6.694
_cell_length_c   11.093
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.623
_symmetry_Int_Tables_number   1
_cell_volume   437.122
_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
  Cs  Cs0  1  0.173  0.337  0.125  1.0
  Ba  Ba1  1  0.181  0.840  0.125  1.0
  Mg  Mg2  1  0.159  0.329  0.625  1.0
  Mg  Mg3  1  0.158  0.829  0.625  1.0
  Mg  Mg4  1  0.673  0.340  0.125  1.0
  Mg  Mg5  1  0.671  0.336  0.625  1.0
  Mg  Mg6  1  0.673  0.833  0.125  1.0
  Mg  Mg7  1  0.671  0.835  0.625  1.0
  Mg  Mg8  1  0.341  0.169  0.405  1.0
  Mg  Mg9  1  0.341  0.169  0.845  1.0
  Mg  Mg10  1  0.341  0.673  0.405  1.0
  Mg  Mg11  1  0.341  0.673  0.845  1.0
  Mg  Mg12  1  0.816  0.158  0.390  1.0
  Mg  Mg13  1  0.816  0.158  0.860  1.0
  Mg  Mg14  1  0.821  0.661  0.385  1.0
  Mg  Mg15  1  0.821  0.661  0.865  1.0
[/CIF]
.