The structure described by KMg14Zr crystallizes in the orthorhombic Amm2 space group. K(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 KMg10Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent K(1)Mg10Zr2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Zr(1)K2Mg10 cuboctahedra; edges with four Mg(3,3,3,3)K2Mg8Zr2 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zr(1)K2Mg10 cuboctahedra; faces with four Mg(3,3,3,3)K2Mg8Zr2 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 K(1)Mg10Zr2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)K2Mg8Zr2 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)K2Mg10 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)KMg11 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)K2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)K2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; faces with two equivalent K(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 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 K(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Zr(1) atoms to form distorted MgK2Mg8Zr2 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)K2Mg8Zr2 cuboctahedra; edges with two equivalent K(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent K(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with two equivalent Zr(1)K2Mg10 cuboctahedra. 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 MgMg12 cuboctahedra that share corners with four equivalent K(1)Mg10Zr2 cuboctahedra; corners with four equivalent Mg(3)K2Mg8Zr2 cuboctahedra; corners with four equivalent Zr(1)K2Mg10 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(7)KMg11 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 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; and faces with two equivalent Mg(4)Mg12 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent K(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 MgK2Mg8Zr2 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)K2Mg8Zr2 cuboctahedra; edges with two equivalent K(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent K(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with two equivalent Zr(1)K2Mg10 cuboctahedra. In the sixth 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 K(1)Mg10Zr2 cuboctahedra, corners with four equivalent Mg(3)K2Mg8Zr2 cuboctahedra, corners with four equivalent Zr(1)K2Mg10 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)KMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)KMg11 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, and faces with two equivalent Mg(4)Mg12 cuboctahedra. In the seventh Mg site, Mg(5) is bonded in a 12-coordinate geometry to one K(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(5) is bonded in a 12-coordinate geometry to one K(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 ninth 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); and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra; corners with six equivalent Mg(6)Mg11Zr cuboctahedra; edges with two equivalent Mg(7)KMg11 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Zr(1)K2Mg10 cuboctahedra; edges with four Mg(3,3,3,3)K2Mg8Zr2 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Zr(1)K2Mg10 cuboctahedra; faces with two Mg(3,3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with three equivalent K(1)Mg10Zr2 cuboctahedra; and faces with three equivalent Mg(2)Mg12 cuboctahedra. In the tenth Mg site, Mg(7) is bonded to one K(1); one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); and four Mg(5,5,5) atoms to form distorted MgKMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra; corners with six equivalent Mg(7)KMg11 cuboctahedra; edges with two equivalent K(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(6)Mg11Zr cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)K2Mg8Zr2 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra;  a faceface with one K(1)Mg10Zr2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two Mg(3,3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; and faces with three equivalent Zr(1)K2Mg10 cuboctahedra. In the eleventh Mg site, Mg(3) is bonded to two equivalent K(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 MgK2Mg8Zr2 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)K2Mg8Zr2 cuboctahedra; edges with two equivalent K(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent K(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with two equivalent Zr(1)K2Mg10 cuboctahedra. In the twelfth Mg site, Mg(3) is bonded to two equivalent K(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 MgK2Mg8Zr2 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)K2Mg8Zr2 cuboctahedra; edges with two equivalent K(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent K(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with two equivalent Zr(1)K2Mg10 cuboctahedra. In the thirteenth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one K(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 K(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 K(1); two equivalent Mg(6); four Mg(3,3,3,3); and four Mg(5,5,5,5) atoms to form distorted ZrK2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Zr(1)K2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent K(1)Mg10Zr2 cuboctahedra; edges with four Mg(3,3,3,3)K2Mg8Zr2 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent K(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)K2Mg8Zr2 cuboctahedra; and faces with six equivalent Mg(7)KMg11 cuboctahedra. is represented by the CIF card [CIF]
data_KMg14Zr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.562
_cell_length_b   6.652
_cell_length_c   10.381
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.454
_symmetry_Int_Tables_number   1
_cell_volume   390.659
_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
  K  K0  1  0.164  0.832  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  0.663  0.329  0.125  1.0
  Mg  Mg4  1  0.668  0.332  0.625  1.0
  Mg  Mg5  1  0.663  0.834  0.125  1.0
  Mg  Mg6  1  0.668  0.836  0.625  1.0
  Mg  Mg7  1  0.335  0.178  0.383  1.0
  Mg  Mg8  1  0.335  0.178  0.867  1.0
  Mg  Mg9  1  0.335  0.656  0.383  1.0
  Mg  Mg10  1  0.335  0.656  0.867  1.0
  Mg  Mg11  1  0.839  0.169  0.371  1.0
  Mg  Mg12  1  0.839  0.169  0.879  1.0
  Mg  Mg13  1  0.821  0.660  0.385  1.0
  Mg  Mg14  1  0.821  0.660  0.865  1.0
  Zr  Zr15  1  0.183  0.341  0.125  1.0
[/CIF]
.
The structure described by KMg14Zr crystallizes in the orthorhombic Amm2 space group. K(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 KMg10Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent K(1)Mg10Zr2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Zr(1)K2Mg10 cuboctahedra; edges with four Mg(3,3,3,3)K2Mg8Zr2 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Zr(1)K2Mg10 cuboctahedra; faces with four Mg(3,3,3,3)K2Mg8Zr2 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 K(1)Mg10Zr2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)K2Mg8Zr2 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)K2Mg10 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)KMg11 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)K2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)K2Mg8Zr2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; faces with two equivalent K(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 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 K(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Zr(1) atoms to form distorted MgK2Mg8Zr2 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)K2Mg8Zr2 cuboctahedra; edges with two equivalent K(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent K(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with two equivalent Zr(1)K2Mg10 cuboctahedra. 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 MgMg12 cuboctahedra that share corners with four equivalent K(1)Mg10Zr2 cuboctahedra; corners with four equivalent Mg(3)K2Mg8Zr2 cuboctahedra; corners with four equivalent Zr(1)K2Mg10 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(7)KMg11 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 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; and faces with two equivalent Mg(4)Mg12 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent K(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 MgK2Mg8Zr2 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)K2Mg8Zr2 cuboctahedra; edges with two equivalent K(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent K(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with two equivalent Zr(1)K2Mg10 cuboctahedra. In the sixth 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 K(1)Mg10Zr2 cuboctahedra, corners with four equivalent Mg(3)K2Mg8Zr2 cuboctahedra, corners with four equivalent Zr(1)K2Mg10 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)KMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)KMg11 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, and faces with two equivalent Mg(4)Mg12 cuboctahedra. In the seventh Mg site, Mg(5) is bonded in a 12-coordinate geometry to one K(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(5) is bonded in a 12-coordinate geometry to one K(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 ninth 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); and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra; corners with six equivalent Mg(6)Mg11Zr cuboctahedra; edges with two equivalent Mg(7)KMg11 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Zr(1)K2Mg10 cuboctahedra; edges with four Mg(3,3,3,3)K2Mg8Zr2 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Zr(1)K2Mg10 cuboctahedra; faces with two Mg(3,3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with three equivalent K(1)Mg10Zr2 cuboctahedra; and faces with three equivalent Mg(2)Mg12 cuboctahedra. In the tenth Mg site, Mg(7) is bonded to one K(1); one Mg(2); two Mg(3,3); two Mg(4,4); two equivalent Mg(6); and four Mg(5,5,5) atoms to form distorted MgKMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra; corners with six equivalent Mg(7)KMg11 cuboctahedra; edges with two equivalent K(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(6)Mg11Zr cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)K2Mg8Zr2 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra;  a faceface with one K(1)Mg10Zr2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two Mg(3,3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two Mg(4,4)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; and faces with three equivalent Zr(1)K2Mg10 cuboctahedra. In the eleventh Mg site, Mg(3) is bonded to two equivalent K(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 MgK2Mg8Zr2 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)K2Mg8Zr2 cuboctahedra; edges with two equivalent K(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent K(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with two equivalent Zr(1)K2Mg10 cuboctahedra. In the twelfth Mg site, Mg(3) is bonded to two equivalent K(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 MgK2Mg8Zr2 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)K2Mg8Zr2 cuboctahedra; edges with two equivalent K(1)Mg10Zr2 cuboctahedra; edges with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; edges with two equivalent Zr(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent K(1)Mg10Zr2 cuboctahedra; faces with two equivalent Mg(3)K2Mg8Zr2 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with two equivalent Zr(1)K2Mg10 cuboctahedra. In the thirteenth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one K(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 K(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 K(1); two equivalent Mg(6); four Mg(3,3,3,3); and four Mg(5,5,5,5) atoms to form distorted ZrK2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Zr(1)K2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent K(1)Mg10Zr2 cuboctahedra; edges with four Mg(3,3,3,3)K2Mg8Zr2 cuboctahedra; edges with four equivalent Mg(6)Mg11Zr cuboctahedra; faces with two equivalent K(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)K2Mg8Zr2 cuboctahedra; and faces with six equivalent Mg(7)KMg11 cuboctahedra. is represented by the CIF card [CIF]
data_KMg14Zr
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.562
_cell_length_b   6.652
_cell_length_c   10.381
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.454
_symmetry_Int_Tables_number   1
_cell_volume   390.659
_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
  K  K0  1  0.164  0.832  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  0.663  0.329  0.125  1.0
  Mg  Mg4  1  0.668  0.332  0.625  1.0
  Mg  Mg5  1  0.663  0.834  0.125  1.0
  Mg  Mg6  1  0.668  0.836  0.625  1.0
  Mg  Mg7  1  0.335  0.178  0.383  1.0
  Mg  Mg8  1  0.335  0.178  0.867  1.0
  Mg  Mg9  1  0.335  0.656  0.383  1.0
  Mg  Mg10  1  0.335  0.656  0.867  1.0
  Mg  Mg11  1  0.839  0.169  0.371  1.0
  Mg  Mg12  1  0.839  0.169  0.879  1.0
  Mg  Mg13  1  0.821  0.660  0.385  1.0
  Mg  Mg14  1  0.821  0.660  0.865  1.0
  Zr  Zr15  1  0.183  0.341  0.125  1.0
[/CIF]
.