The crystal structure described by CsMg15 crystallizes in the hexagonal P-6m2 space group. Cs(1) is bonded to six Mg(2,2,2) and six Mg(4,4,4) atoms to form CsMg12 cuboctahedra that share corners with six equivalent Cs(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(3)Mg12 cuboctahedra; edges with six Mg(2,2,2)Cs2Mg10 cuboctahedra; edges with twelve Mg(4,4,4)CsMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with six Mg(2,2,2)Cs2Mg10 cuboctahedra; faces with six Mg(4,4,4)CsMg11 cuboctahedra; and faces with six equivalent Mg(5)Mg12 cuboctahedra. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to six equivalent Mg(3) and six Mg(4,4,4) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with twelve Mg(2,2,2)Cs2Mg10 cuboctahedra; edges with six equivalent Mg(3)Mg12 cuboctahedra; edges with twelve Mg(4,4,4)CsMg11 cuboctahedra; faces with two equivalent Cs(1)Mg12 cuboctahedra; faces with six Mg(4,4,4)CsMg11 cuboctahedra; faces with six equivalent Mg(3)Mg12 cuboctahedra; and faces with six equivalent Mg(5)Mg12 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Cs(1); two equivalent Mg(5); four Mg(2,2); and four Mg(4,4) atoms to form distorted MgCs2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Cs2Mg10 cuboctahedra; corners with eight equivalent Mg(3)Mg12 cuboctahedra; edges with two equivalent Cs(1)Mg12 cuboctahedra; edges with four Mg(2,2)Cs2Mg10 cuboctahedra; edges with four equivalent Mg(5)Mg12 cuboctahedra; edges with eight Mg(4,4)CsMg11 cuboctahedra; faces with two equivalent Cs(1)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with four Mg(2,2)Cs2Mg10 cuboctahedra; and faces with ten Mg(4,4,4)CsMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1); two equivalent Mg(5); four equivalent Mg(3); and four Mg(4,4) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cs(1)Mg12 cuboctahedra; corners with six equivalent Mg(3)Mg12 cuboctahedra; corners with eight Mg(2,2)Cs2Mg10 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg12 cuboctahedra; edges with four equivalent Mg(5)Mg12 cuboctahedra; edges with eight Mg(4,4)CsMg11 cuboctahedra; faces with two equivalent Mg(2)Cs2Mg10 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with four equivalent Mg(3)Mg12 cuboctahedra; and faces with ten Mg(4,4,4)CsMg11 cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Cs(1); two equivalent Mg(5); four Mg(2,2); and four Mg(4,4) atoms to form distorted MgCs2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Cs2Mg10 cuboctahedra; corners with eight equivalent Mg(3)Mg12 cuboctahedra; edges with two equivalent Cs(1)Mg12 cuboctahedra; edges with four Mg(2,2)Cs2Mg10 cuboctahedra; edges with four equivalent Mg(5)Mg12 cuboctahedra; edges with eight Mg(4,4)CsMg11 cuboctahedra; faces with two equivalent Cs(1)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with four Mg(2,2)Cs2Mg10 cuboctahedra; and faces with ten Mg(4,4,4)CsMg11 cuboctahedra. In the fifth Mg site, Mg(2) is bonded to two equivalent Cs(1); two equivalent Mg(5); four Mg(2,2); and four Mg(4,4) atoms to form distorted MgCs2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Cs2Mg10 cuboctahedra; corners with eight equivalent Mg(3)Mg12 cuboctahedra; edges with two equivalent Cs(1)Mg12 cuboctahedra; edges with four Mg(2,2)Cs2Mg10 cuboctahedra; edges with four equivalent Mg(5)Mg12 cuboctahedra; edges with eight Mg(4,4)CsMg11 cuboctahedra; faces with two equivalent Cs(1)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with four Mg(2,2)Cs2Mg10 cuboctahedra; and faces with ten Mg(4,4,4)CsMg11 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to one Cs(1); one Mg(1); two Mg(2,2); two equivalent Mg(3); two equivalent Mg(5); and four Mg(4,4) atoms to form distorted MgCsMg11 cuboctahedra that share corners with four equivalent Mg(5)Mg12 cuboctahedra; corners with fourteen Mg(4,4,4)CsMg11 cuboctahedra; edges with two equivalent Cs(1)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(5)Mg12 cuboctahedra; edges with four Mg(2,2)Cs2Mg10 cuboctahedra; edges with four Mg(4,4)CsMg11 cuboctahedra; edges with four equivalent Mg(3)Mg12 cuboctahedra;  a faceface with one Cs(1)Mg12 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with five Mg(2,2,2)Cs2Mg10 cuboctahedra; faces with five equivalent Mg(3)Mg12 cuboctahedra; and faces with six Mg(4,4,4)CsMg11 cuboctahedra. In the seventh Mg site, Mg(4) is bonded to one Cs(1); one Mg(1); two Mg(2,2); two equivalent Mg(3); two equivalent Mg(5); and four Mg(4,4) atoms to form distorted MgCsMg11 cuboctahedra that share corners with four equivalent Mg(5)Mg12 cuboctahedra; corners with fourteen Mg(4,4,4)CsMg11 cuboctahedra; edges with two equivalent Cs(1)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(5)Mg12 cuboctahedra; edges with four Mg(2,2)Cs2Mg10 cuboctahedra; edges with four Mg(4,4)CsMg11 cuboctahedra; edges with four equivalent Mg(3)Mg12 cuboctahedra;  a faceface with one Cs(1)Mg12 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with five Mg(2,2,2)Cs2Mg10 cuboctahedra; faces with five equivalent Mg(3)Mg12 cuboctahedra; and faces with six Mg(4,4,4)CsMg11 cuboctahedra. In the eighth Mg site, Mg(4) is bonded to one Cs(1); one Mg(1); two Mg(2,2); two equivalent Mg(3); two equivalent Mg(5); and four Mg(4,4) atoms to form distorted MgCsMg11 cuboctahedra that share corners with four equivalent Mg(5)Mg12 cuboctahedra; corners with fourteen Mg(4,4,4)CsMg11 cuboctahedra; edges with two equivalent Cs(1)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(5)Mg12 cuboctahedra; edges with four Mg(2,2)Cs2Mg10 cuboctahedra; edges with four Mg(4,4)CsMg11 cuboctahedra; edges with four equivalent Mg(3)Mg12 cuboctahedra;  a faceface with one Cs(1)Mg12 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with five Mg(2,2,2)Cs2Mg10 cuboctahedra; faces with five equivalent Mg(3)Mg12 cuboctahedra; and faces with six Mg(4,4,4)CsMg11 cuboctahedra. In the ninth Mg site, Mg(5) is bonded to three Mg(2,2,2); three equivalent Mg(3); and six Mg(4,4,4) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(5)Mg12 cuboctahedra; corners with twelve Mg(4,4,4)CsMg11 cuboctahedra; edges with six Mg(2,2,2)Cs2Mg10 cuboctahedra; edges with six Mg(4,4,4)CsMg11 cuboctahedra; edges with six equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with three equivalent Cs(1)Mg12 cuboctahedra; faces with three Mg(2,2,2)Cs2Mg10 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Mg(3)Mg12 cuboctahedra; and faces with six Mg(4,4,4)CsMg11 cuboctahedra. is represented by the CIF card [CIF]
data_CsMg15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.634
_cell_length_b   6.634
_cell_length_c   10.777
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   410.805
_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  0.667  0.333  0.000  1.0
  Mg  Mg1  1  0.667  0.333  0.500  1.0
  Mg  Mg2  1  0.170  0.339  0.000  1.0
  Mg  Mg3  1  0.165  0.330  0.500  1.0
  Mg  Mg4  1  0.170  0.830  0.000  1.0
  Mg  Mg5  1  0.165  0.835  0.500  1.0
  Mg  Mg6  1  0.661  0.830  0.000  1.0
  Mg  Mg7  1  0.670  0.835  0.500  1.0
  Mg  Mg8  1  0.011  0.506  0.267  1.0
  Mg  Mg9  1  0.011  0.506  0.733  1.0
  Mg  Mg10  1  0.494  0.506  0.267  1.0
  Mg  Mg11  1  0.494  0.506  0.733  1.0
  Mg  Mg12  1  0.494  0.989  0.267  1.0
  Mg  Mg13  1  0.494  0.989  0.733  1.0
  Mg  Mg14  1  0.000  0.000  0.247  1.0
  Mg  Mg15  1  0.000  0.000  0.753  1.0
[/CIF]
.
The crystal structure described by CsMg15 crystallizes in the hexagonal P-6m2 space group. Cs(1) is bonded to six Mg(2,2,2) and six Mg(4,4,4) atoms to form CsMg12 cuboctahedra that share corners with six equivalent Cs(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(3)Mg12 cuboctahedra; edges with six Mg(2,2,2)Cs2Mg10 cuboctahedra; edges with twelve Mg(4,4,4)CsMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with six Mg(2,2,2)Cs2Mg10 cuboctahedra; faces with six Mg(4,4,4)CsMg11 cuboctahedra; and faces with six equivalent Mg(5)Mg12 cuboctahedra. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to six equivalent Mg(3) and six Mg(4,4,4) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with twelve Mg(2,2,2)Cs2Mg10 cuboctahedra; edges with six equivalent Mg(3)Mg12 cuboctahedra; edges with twelve Mg(4,4,4)CsMg11 cuboctahedra; faces with two equivalent Cs(1)Mg12 cuboctahedra; faces with six Mg(4,4,4)CsMg11 cuboctahedra; faces with six equivalent Mg(3)Mg12 cuboctahedra; and faces with six equivalent Mg(5)Mg12 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Cs(1); two equivalent Mg(5); four Mg(2,2); and four Mg(4,4) atoms to form distorted MgCs2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Cs2Mg10 cuboctahedra; corners with eight equivalent Mg(3)Mg12 cuboctahedra; edges with two equivalent Cs(1)Mg12 cuboctahedra; edges with four Mg(2,2)Cs2Mg10 cuboctahedra; edges with four equivalent Mg(5)Mg12 cuboctahedra; edges with eight Mg(4,4)CsMg11 cuboctahedra; faces with two equivalent Cs(1)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with four Mg(2,2)Cs2Mg10 cuboctahedra; and faces with ten Mg(4,4,4)CsMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1); two equivalent Mg(5); four equivalent Mg(3); and four Mg(4,4) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Cs(1)Mg12 cuboctahedra; corners with six equivalent Mg(3)Mg12 cuboctahedra; corners with eight Mg(2,2)Cs2Mg10 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg12 cuboctahedra; edges with four equivalent Mg(5)Mg12 cuboctahedra; edges with eight Mg(4,4)CsMg11 cuboctahedra; faces with two equivalent Mg(2)Cs2Mg10 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with four equivalent Mg(3)Mg12 cuboctahedra; and faces with ten Mg(4,4,4)CsMg11 cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Cs(1); two equivalent Mg(5); four Mg(2,2); and four Mg(4,4) atoms to form distorted MgCs2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Cs2Mg10 cuboctahedra; corners with eight equivalent Mg(3)Mg12 cuboctahedra; edges with two equivalent Cs(1)Mg12 cuboctahedra; edges with four Mg(2,2)Cs2Mg10 cuboctahedra; edges with four equivalent Mg(5)Mg12 cuboctahedra; edges with eight Mg(4,4)CsMg11 cuboctahedra; faces with two equivalent Cs(1)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with four Mg(2,2)Cs2Mg10 cuboctahedra; and faces with ten Mg(4,4,4)CsMg11 cuboctahedra. In the fifth Mg site, Mg(2) is bonded to two equivalent Cs(1); two equivalent Mg(5); four Mg(2,2); and four Mg(4,4) atoms to form distorted MgCs2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Cs2Mg10 cuboctahedra; corners with eight equivalent Mg(3)Mg12 cuboctahedra; edges with two equivalent Cs(1)Mg12 cuboctahedra; edges with four Mg(2,2)Cs2Mg10 cuboctahedra; edges with four equivalent Mg(5)Mg12 cuboctahedra; edges with eight Mg(4,4)CsMg11 cuboctahedra; faces with two equivalent Cs(1)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with four Mg(2,2)Cs2Mg10 cuboctahedra; and faces with ten Mg(4,4,4)CsMg11 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to one Cs(1); one Mg(1); two Mg(2,2); two equivalent Mg(3); two equivalent Mg(5); and four Mg(4,4) atoms to form distorted MgCsMg11 cuboctahedra that share corners with four equivalent Mg(5)Mg12 cuboctahedra; corners with fourteen Mg(4,4,4)CsMg11 cuboctahedra; edges with two equivalent Cs(1)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(5)Mg12 cuboctahedra; edges with four Mg(2,2)Cs2Mg10 cuboctahedra; edges with four Mg(4,4)CsMg11 cuboctahedra; edges with four equivalent Mg(3)Mg12 cuboctahedra;  a faceface with one Cs(1)Mg12 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with five Mg(2,2,2)Cs2Mg10 cuboctahedra; faces with five equivalent Mg(3)Mg12 cuboctahedra; and faces with six Mg(4,4,4)CsMg11 cuboctahedra. In the seventh Mg site, Mg(4) is bonded to one Cs(1); one Mg(1); two Mg(2,2); two equivalent Mg(3); two equivalent Mg(5); and four Mg(4,4) atoms to form distorted MgCsMg11 cuboctahedra that share corners with four equivalent Mg(5)Mg12 cuboctahedra; corners with fourteen Mg(4,4,4)CsMg11 cuboctahedra; edges with two equivalent Cs(1)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(5)Mg12 cuboctahedra; edges with four Mg(2,2)Cs2Mg10 cuboctahedra; edges with four Mg(4,4)CsMg11 cuboctahedra; edges with four equivalent Mg(3)Mg12 cuboctahedra;  a faceface with one Cs(1)Mg12 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with five Mg(2,2,2)Cs2Mg10 cuboctahedra; faces with five equivalent Mg(3)Mg12 cuboctahedra; and faces with six Mg(4,4,4)CsMg11 cuboctahedra. In the eighth Mg site, Mg(4) is bonded to one Cs(1); one Mg(1); two Mg(2,2); two equivalent Mg(3); two equivalent Mg(5); and four Mg(4,4) atoms to form distorted MgCsMg11 cuboctahedra that share corners with four equivalent Mg(5)Mg12 cuboctahedra; corners with fourteen Mg(4,4,4)CsMg11 cuboctahedra; edges with two equivalent Cs(1)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(5)Mg12 cuboctahedra; edges with four Mg(2,2)Cs2Mg10 cuboctahedra; edges with four Mg(4,4)CsMg11 cuboctahedra; edges with four equivalent Mg(3)Mg12 cuboctahedra;  a faceface with one Cs(1)Mg12 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with five Mg(2,2,2)Cs2Mg10 cuboctahedra; faces with five equivalent Mg(3)Mg12 cuboctahedra; and faces with six Mg(4,4,4)CsMg11 cuboctahedra. In the ninth Mg site, Mg(5) is bonded to three Mg(2,2,2); three equivalent Mg(3); and six Mg(4,4,4) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(5)Mg12 cuboctahedra; corners with twelve Mg(4,4,4)CsMg11 cuboctahedra; edges with six Mg(2,2,2)Cs2Mg10 cuboctahedra; edges with six Mg(4,4,4)CsMg11 cuboctahedra; edges with six equivalent Mg(3)Mg12 cuboctahedra; faces with two equivalent Mg(5)Mg12 cuboctahedra; faces with three equivalent Cs(1)Mg12 cuboctahedra; faces with three Mg(2,2,2)Cs2Mg10 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Mg(3)Mg12 cuboctahedra; and faces with six Mg(4,4,4)CsMg11 cuboctahedra. is represented by the CIF card [CIF]
data_CsMg15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.634
_cell_length_b   6.634
_cell_length_c   10.777
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   410.805
_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  0.667  0.333  0.000  1.0
  Mg  Mg1  1  0.667  0.333  0.500  1.0
  Mg  Mg2  1  0.170  0.339  0.000  1.0
  Mg  Mg3  1  0.165  0.330  0.500  1.0
  Mg  Mg4  1  0.170  0.830  0.000  1.0
  Mg  Mg5  1  0.165  0.835  0.500  1.0
  Mg  Mg6  1  0.661  0.830  0.000  1.0
  Mg  Mg7  1  0.670  0.835  0.500  1.0
  Mg  Mg8  1  0.011  0.506  0.267  1.0
  Mg  Mg9  1  0.011  0.506  0.733  1.0
  Mg  Mg10  1  0.494  0.506  0.267  1.0
  Mg  Mg11  1  0.494  0.506  0.733  1.0
  Mg  Mg12  1  0.494  0.989  0.267  1.0
  Mg  Mg13  1  0.494  0.989  0.733  1.0
  Mg  Mg14  1  0.000  0.000  0.247  1.0
  Mg  Mg15  1  0.000  0.000  0.753  1.0
[/CIF]
.