The crystal structure described by RbMg14Zr crystallizes in the orthorhombic Amm2 space group. Rb(1) is bonded to two equivalent Mg(7); four Mg(3,3,3,3); four Mg(5,5,5,5); and two equivalent Zr(1) atoms to form RbMg10Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Rb(1)Mg10Zr2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Rb2Mg10 cuboctahedra; edges with four Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Zr(1)Rb2Mg10 cuboctahedra; faces with four Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. There are fourteen inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four Mg(5,5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Zr2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zr(1)Rb2Mg10 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)RbMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4); and four Mg(5,5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Zr(1)Rb2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Rb(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent Zr(1) atoms to form distorted MgRb2Mg8Zr2 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 Mg(3,3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Rb(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with two equivalent Zr(1)Rb2Mg10 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Zr2 cuboctahedra; corners with four equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; corners with four equivalent Zr(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr 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; faces with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; and faces with two equivalent Mg(7)RbMg11 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Rb(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent Zr(1) atoms to form distorted MgRb2Mg8Zr2 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 Mg(3,3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Rb(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with two equivalent Zr(1)Rb2Mg10 cuboctahedra. In the sixth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Zr(1) atom. In the seventh Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Zr(1) atom. In the eighth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5,5,5); and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(7)RbMg11 cuboctahedra; corners with six equivalent Mg(6)Mg11Zr cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(7)RbMg11 cuboctahedra; edges with two equivalent Zr(1)Rb2Mg10 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Zr(1)Rb2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; faces with three equivalent Rb(1)Mg10Zr2 cuboctahedra; and faces with three equivalent Mg(2)Mg12 cuboctahedra. In the ninth Mg site, Mg(7) is bonded to one Rb(1); one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); and four Mg(5,5,5,5) atoms to form distorted MgRbMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra; corners with six equivalent Mg(7)RbMg11 cuboctahedra; edges with two equivalent Rb(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(6)Mg11Zr cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra;  a faceface with one Rb(1)Mg10Zr2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; and faces with three equivalent Zr(1)Rb2Mg10 cuboctahedra. In the tenth Mg site, Mg(3) is bonded to two equivalent Rb(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent Zr(1) atoms to form distorted MgRb2Mg8Zr2 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 Mg(3,3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Rb(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with two equivalent Zr(1)Rb2Mg10 cuboctahedra. In the eleventh Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Zr2 cuboctahedra; corners with four equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; corners with four equivalent Zr(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr 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; faces with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; and faces with two equivalent Mg(7)RbMg11 cuboctahedra. In the twelfth Mg site, Mg(3) is bonded to two equivalent Rb(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent Zr(1) atoms to form distorted MgRb2Mg8Zr2 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 Mg(3,3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Rb(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with two equivalent Zr(1)Rb2Mg10 cuboctahedra. In the thirteenth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Zr(1) atom. In the fourteenth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Zr(1) atom. Zr(1) is bonded to two equivalent Rb(1); two equivalent Mg(6); four Mg(3,3,3,3); and four Mg(5,5,5,5) atoms to form distorted ZrRb2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Zr(1)Rb2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Rb(1)Mg10Zr2 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Rb(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with four Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra; and faces with six equivalent Mg(7)RbMg11 cuboctahedra. is represented by the CIF file [CIF]
data_RbMg14Zr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.573
_cell_length_b   6.653
_cell_length_c   10.459
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.400
_symmetry_Int_Tables_number   1
_cell_volume   394.490
_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  0.162  0.831  0.125  1.0
  Mg  Mg1  1  0.165  0.333  0.625  1.0
  Mg  Mg2  1  0.168  0.834  0.625  1.0
  Mg  Mg3  1  0.664  0.330  0.125  1.0
  Mg  Mg4  1  0.668  0.331  0.625  1.0
  Mg  Mg5  1  0.664  0.834  0.125  1.0
  Mg  Mg6  1  0.668  0.837  0.625  1.0
  Mg  Mg7  1  0.336  0.180  0.384  1.0
  Mg  Mg8  1  0.336  0.180  0.866  1.0
  Mg  Mg9  1  0.336  0.655  0.384  1.0
  Mg  Mg10  1  0.336  0.655  0.866  1.0
  Mg  Mg11  1  0.838  0.169  0.371  1.0
  Mg  Mg12  1  0.838  0.169  0.879  1.0
  Mg  Mg13  1  0.818  0.659  0.388  1.0
  Mg  Mg14  1  0.818  0.659  0.862  1.0
  Zr  Zr15  1  0.185  0.343  0.125  1.0
[/CIF]
.
The crystal structure described by RbMg14Zr crystallizes in the orthorhombic Amm2 space group. Rb(1) is bonded to two equivalent Mg(7); four Mg(3,3,3,3); four Mg(5,5,5,5); and two equivalent Zr(1) atoms to form RbMg10Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Rb(1)Mg10Zr2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Zr(1)Rb2Mg10 cuboctahedra; edges with four Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Zr(1)Rb2Mg10 cuboctahedra; faces with four Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. There are fourteen inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four Mg(5,5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Zr2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zr(1)Rb2Mg10 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)RbMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4); and four Mg(5,5,5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Zr(1)Rb2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Rb(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent Zr(1) atoms to form distorted MgRb2Mg8Zr2 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 Mg(3,3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Rb(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with two equivalent Zr(1)Rb2Mg10 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Zr2 cuboctahedra; corners with four equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; corners with four equivalent Zr(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr 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; faces with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; and faces with two equivalent Mg(7)RbMg11 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Rb(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent Zr(1) atoms to form distorted MgRb2Mg8Zr2 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 Mg(3,3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Rb(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with two equivalent Zr(1)Rb2Mg10 cuboctahedra. In the sixth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Zr(1) atom. In the seventh Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Zr(1) atom. In the eighth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two Mg(4,4); two equivalent Mg(7); four Mg(5,5,5,5); and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(7)RbMg11 cuboctahedra; corners with six equivalent Mg(6)Mg11Zr cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(7)RbMg11 cuboctahedra; edges with two equivalent Zr(1)Rb2Mg10 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Zr(1)Rb2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; faces with three equivalent Rb(1)Mg10Zr2 cuboctahedra; and faces with three equivalent Mg(2)Mg12 cuboctahedra. In the ninth Mg site, Mg(7) is bonded to one Rb(1); one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); and four Mg(5,5,5,5) atoms to form distorted MgRbMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra; corners with six equivalent Mg(7)RbMg11 cuboctahedra; edges with two equivalent Rb(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(6)Mg11Zr cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra;  a faceface with one Rb(1)Mg10Zr2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with two Mg(3,3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; and faces with three equivalent Zr(1)Rb2Mg10 cuboctahedra. In the tenth Mg site, Mg(3) is bonded to two equivalent Rb(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent Zr(1) atoms to form distorted MgRb2Mg8Zr2 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 Mg(3,3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Rb(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with two equivalent Zr(1)Rb2Mg10 cuboctahedra. In the eleventh Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Rb(1)Mg10Zr2 cuboctahedra; corners with four equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; corners with four equivalent Zr(1)Rb2Mg10 cuboctahedra; corners with six Mg(4,4)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(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr 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; faces with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; and faces with two equivalent Mg(7)RbMg11 cuboctahedra. In the twelfth Mg site, Mg(3) is bonded to two equivalent Rb(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent Zr(1) atoms to form distorted MgRb2Mg8Zr2 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 Mg(3,3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Rb(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)Rb2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four equivalent Mg(7)RbMg11 cuboctahedra; faces with two equivalent Rb(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)RbMg11 cuboctahedra; and faces with two equivalent Zr(1)Rb2Mg10 cuboctahedra. In the thirteenth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Zr(1) atom. In the fourteenth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Rb(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 Zr(1) atom. Zr(1) is bonded to two equivalent Rb(1); two equivalent Mg(6); four Mg(3,3,3,3); and four Mg(5,5,5,5) atoms to form distorted ZrRb2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Zr(1)Rb2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Rb(1)Mg10Zr2 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; edges with four Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra; faces with two equivalent Rb(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with four Mg(3,3,3,3)Rb2Mg8Zr2 cuboctahedra; and faces with six equivalent Mg(7)RbMg11 cuboctahedra. is represented by the CIF file [CIF]
data_RbMg14Zr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.573
_cell_length_b   6.653
_cell_length_c   10.459
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.400
_symmetry_Int_Tables_number   1
_cell_volume   394.490
_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  0.162  0.831  0.125  1.0
  Mg  Mg1  1  0.165  0.333  0.625  1.0
  Mg  Mg2  1  0.168  0.834  0.625  1.0
  Mg  Mg3  1  0.664  0.330  0.125  1.0
  Mg  Mg4  1  0.668  0.331  0.625  1.0
  Mg  Mg5  1  0.664  0.834  0.125  1.0
  Mg  Mg6  1  0.668  0.837  0.625  1.0
  Mg  Mg7  1  0.336  0.180  0.384  1.0
  Mg  Mg8  1  0.336  0.180  0.866  1.0
  Mg  Mg9  1  0.336  0.655  0.384  1.0
  Mg  Mg10  1  0.336  0.655  0.866  1.0
  Mg  Mg11  1  0.838  0.169  0.371  1.0
  Mg  Mg12  1  0.838  0.169  0.879  1.0
  Mg  Mg13  1  0.818  0.659  0.388  1.0
  Mg  Mg14  1  0.818  0.659  0.862  1.0
  Zr  Zr15  1  0.185  0.343  0.125  1.0
[/CIF]
.