The material described by RbMg14Sn crystallizes in the hexagonal P-6m2 space group. Rb(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form RbMg12 cuboctahedra that share corners with six equivalent Rb(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with six equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbMg10Sn cuboctahedra; faces with two equivalent Sn(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Sn cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Sn(1) atoms to form distorted MgMg10Sn2 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Sn2 cuboctahedra; corners with eight equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)RbMg10Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with two equivalent Sn(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Sn2 cuboctahedra; and faces with ten Mg(3,3)RbMg10Sn cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Rb(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Sn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with eight equivalent Mg(3)RbMg10Sn cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Sn cuboctahedra. In the third Mg site, Mg(3) is bonded to one Rb(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Sn(1) atom to form distorted MgRbMg10Sn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Sn cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)RbMg10Sn cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with five equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Sn cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Rb(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Sn(1) atom to form distorted MgRbMg10Sn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Sn cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbMg10Sn cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with five equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Sn 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)RbMg10Sn cuboctahedra; edges with six equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with six equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with six Mg(3,3)RbMg10Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with three equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with three equivalent Sn(1)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Sn cuboctahedra. Sn(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form SnMg12 cuboctahedra that share corners with six equivalent Sn(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with twelve Mg(3,3)RbMg10Sn cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Sn cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_RbMg14Sn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.525
_cell_length_b   6.525
_cell_length_c   10.973
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   404.574
_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
  Rb  Rb0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.163  0.831  0.125  1.0
  Mg  Mg2  1  0.173  0.836  0.625  1.0
  Mg  Mg3  1  0.669  0.337  0.125  1.0
  Mg  Mg4  1  0.664  0.327  0.625  1.0
  Mg  Mg5  1  0.669  0.831  0.125  1.0
  Mg  Mg6  1  0.664  0.836  0.625  1.0
  Mg  Mg7  1  0.338  0.162  0.363  1.0
  Mg  Mg8  1  0.338  0.162  0.887  1.0
  Mg  Mg9  1  0.338  0.677  0.363  1.0
  Mg  Mg10  1  0.338  0.677  0.887  1.0
  Mg  Mg11  1  0.823  0.162  0.363  1.0
  Mg  Mg12  1  0.823  0.162  0.887  1.0
  Mg  Mg13  1  0.833  0.667  0.382  1.0
  Mg  Mg14  1  0.833  0.667  0.868  1.0
  Sn  Sn15  1  0.167  0.333  0.125  1.0
[/CIF]
.
The material described by RbMg14Sn crystallizes in the hexagonal P-6m2 space group. Rb(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form RbMg12 cuboctahedra that share corners with six equivalent Rb(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with six equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbMg10Sn cuboctahedra; faces with two equivalent Sn(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Sn cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Sn(1) atoms to form distorted MgMg10Sn2 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Sn2 cuboctahedra; corners with eight equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)RbMg10Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with two equivalent Sn(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Sn2 cuboctahedra; and faces with ten Mg(3,3)RbMg10Sn cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Rb(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Sn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with eight equivalent Mg(3)RbMg10Sn cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Sn cuboctahedra. In the third Mg site, Mg(3) is bonded to one Rb(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Sn(1) atom to form distorted MgRbMg10Sn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Sn cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)RbMg10Sn cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with five equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Sn cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Rb(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Sn(1) atom to form distorted MgRbMg10Sn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Sn cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbMg10Sn cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with five equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Sn 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)RbMg10Sn cuboctahedra; edges with six equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with six equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with six Mg(3,3)RbMg10Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with three equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with three equivalent Sn(1)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Sn cuboctahedra. Sn(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form SnMg12 cuboctahedra that share corners with six equivalent Sn(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with twelve Mg(3,3)RbMg10Sn cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Sn cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_RbMg14Sn
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.525
_cell_length_b   6.525
_cell_length_c   10.973
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   404.574
_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
  Rb  Rb0  1  0.167  0.333  0.625  1.0
  Mg  Mg1  1  0.163  0.831  0.125  1.0
  Mg  Mg2  1  0.173  0.836  0.625  1.0
  Mg  Mg3  1  0.669  0.337  0.125  1.0
  Mg  Mg4  1  0.664  0.327  0.625  1.0
  Mg  Mg5  1  0.669  0.831  0.125  1.0
  Mg  Mg6  1  0.664  0.836  0.625  1.0
  Mg  Mg7  1  0.338  0.162  0.363  1.0
  Mg  Mg8  1  0.338  0.162  0.887  1.0
  Mg  Mg9  1  0.338  0.677  0.363  1.0
  Mg  Mg10  1  0.338  0.677  0.887  1.0
  Mg  Mg11  1  0.823  0.162  0.363  1.0
  Mg  Mg12  1  0.823  0.162  0.887  1.0
  Mg  Mg13  1  0.833  0.667  0.382  1.0
  Mg  Mg14  1  0.833  0.667  0.868  1.0
  Sn  Sn15  1  0.167  0.333  0.125  1.0
[/CIF]
.