The structure described by RbMg14Zr crystallizes in the hexagonal P-6m2 space group. Rb(1) is bonded to six Mg(2,2) 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)Mg10Zr2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbMg10Zr cuboctahedra; faces with two equivalent Zr(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Zr cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent Zr(1) atoms to form MgMg10Zr2 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Zr2 cuboctahedra; corners with eight Mg(2,2)Rb2Mg10 cuboctahedra; edges with two equivalent Zr(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)RbMg10Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with two equivalent Zr(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Zr2 cuboctahedra; and faces with ten Mg(3,3)RbMg10Zr cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Rb(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Zr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with eight Mg(3,3)RbMg10Zr cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Zr cuboctahedra. In the third 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 Zr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zr2 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)RbMg10Zr cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Zr cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Rb(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Zr(1) atom to form distorted MgRbMg10Zr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Zr cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)RbMg10Zr cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Zr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Zr cuboctahedra. In the fifth 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 Zr(1) atom to form distorted MgRbMg10Zr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Zr cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbMg10Zr cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Zr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Zr cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); 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)RbMg10Zr cuboctahedra; edges with six equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with six Mg(3,3)RbMg10Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with three Mg(2,2)Rb2Mg10 cuboctahedra; faces with three equivalent Zr(1)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Zr cuboctahedra. Zr(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form ZrMg12 cuboctahedra that share corners with six equivalent Zr(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with twelve Mg(3,3)RbMg10Zr cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Zr cuboctahedra. is represented by the CIF card [CIF]
data_RbMg14Zr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.652
_cell_length_b   6.652
_cell_length_c   10.353
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   396.697
_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  0.167  0.833  0.125  1.0
  Mg  Mg2  1  0.176  0.838  0.625  1.0
  Mg  Mg3  1  0.667  0.333  0.125  1.0
  Mg  Mg4  1  0.662  0.324  0.625  1.0
  Mg  Mg5  1  0.667  0.833  0.125  1.0
  Mg  Mg6  1  0.662  0.838  0.625  1.0
  Mg  Mg7  1  0.338  0.162  0.360  1.0
  Mg  Mg8  1  0.338  0.162  0.890  1.0
  Mg  Mg9  1  0.338  0.675  0.360  1.0
  Mg  Mg10  1  0.338  0.675  0.890  1.0
  Mg  Mg11  1  0.825  0.162  0.360  1.0
  Mg  Mg12  1  0.825  0.162  0.890  1.0
  Mg  Mg13  1  0.833  0.667  0.377  1.0
  Mg  Mg14  1  0.833  0.667  0.873  1.0
  Zr  Zr15  1  0.167  0.333  0.125  1.0
[/CIF]
.
The structure described by RbMg14Zr crystallizes in the hexagonal P-6m2 space group. Rb(1) is bonded to six Mg(2,2) 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)Mg10Zr2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with twelve Mg(3,3)RbMg10Zr cuboctahedra; faces with two equivalent Zr(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Zr cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent Zr(1) atoms to form MgMg10Zr2 cuboctahedra that share corners with four equivalent Rb(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Zr2 cuboctahedra; corners with eight Mg(2,2)Rb2Mg10 cuboctahedra; edges with two equivalent Zr(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)RbMg10Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Rb2Mg10 cuboctahedra; faces with two equivalent Zr(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Zr2 cuboctahedra; and faces with ten Mg(3,3)RbMg10Zr cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Rb(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgRb2Mg10 cuboctahedra that share corners with four equivalent Zr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with eight Mg(3,3)RbMg10Zr cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Zr cuboctahedra. In the third 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 Zr(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Rb2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Zr2 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)RbMg10Zr cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Rb2Mg10 cuboctahedra; and faces with ten Mg(3,3)RbMg10Zr cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Rb(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Zr(1) atom to form distorted MgRbMg10Zr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Zr cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with four Mg(2,2)Rb2Mg10 cuboctahedra; edges with four Mg(3,3)RbMg10Zr cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Zr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Zr cuboctahedra. In the fifth 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 Zr(1) atom to form distorted MgRbMg10Zr cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)RbMg10Zr cuboctahedra; edges with two equivalent Rb(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with four equivalent Mg(2)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(3)RbMg10Zr cuboctahedra;  a faceface with one Rb(1)Mg12 cuboctahedra;  a faceface with one Zr(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with five Mg(2,2)Rb2Mg10 cuboctahedra; and faces with six Mg(3,3)RbMg10Zr cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); 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)RbMg10Zr cuboctahedra; edges with six equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with six Mg(2,2)Rb2Mg10 cuboctahedra; edges with six Mg(3,3)RbMg10Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Rb(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with three Mg(2,2)Rb2Mg10 cuboctahedra; faces with three equivalent Zr(1)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Zr cuboctahedra. Zr(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form ZrMg12 cuboctahedra that share corners with six equivalent Zr(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Rb2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Zr2 cuboctahedra; edges with twelve Mg(3,3)RbMg10Zr cuboctahedra; faces with two equivalent Rb(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Zr2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)RbMg10Zr cuboctahedra. is represented by the CIF card [CIF]
data_RbMg14Zr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.652
_cell_length_b   6.652
_cell_length_c   10.353
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   396.697
_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  0.167  0.833  0.125  1.0
  Mg  Mg2  1  0.176  0.838  0.625  1.0
  Mg  Mg3  1  0.667  0.333  0.125  1.0
  Mg  Mg4  1  0.662  0.324  0.625  1.0
  Mg  Mg5  1  0.667  0.833  0.125  1.0
  Mg  Mg6  1  0.662  0.838  0.625  1.0
  Mg  Mg7  1  0.338  0.162  0.360  1.0
  Mg  Mg8  1  0.338  0.162  0.890  1.0
  Mg  Mg9  1  0.338  0.675  0.360  1.0
  Mg  Mg10  1  0.338  0.675  0.890  1.0
  Mg  Mg11  1  0.825  0.162  0.360  1.0
  Mg  Mg12  1  0.825  0.162  0.890  1.0
  Mg  Mg13  1  0.833  0.667  0.377  1.0
  Mg  Mg14  1  0.833  0.667  0.873  1.0
  Zr  Zr15  1  0.167  0.333  0.125  1.0
[/CIF]
.