The compound described by KMg14Y crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(7); four Mg(3,3,3); four Mg(5,5); and two equivalent Y(1) atoms to form KY2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent K(1)Y2Mg10 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra; edges with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with eight Mg(5,5)KYMg10 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Y(1)K2Mg10 cuboctahedra; faces with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; faces with four Mg(5,5)KYMg10 cuboctahedra; and faces with six equivalent Mg(6)YMg11 cuboctahedra. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four equivalent Mg(4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Y2Mg10 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3)K2Y2Mg8 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(6)YMg11 cuboctahedra; edges with eight Mg(5,5)KYMg10 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent Y(1)K2Mg10 cuboctahedra; faces with four Mg(5,5)KYMg10 cuboctahedra; faces with four equivalent Mg(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 equivalent Mg(4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Y(1)K2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3)K2Y2Mg8 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(5,5)KYMg10 cuboctahedra; faces with two equivalent K(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with four Mg(5,5)KYMg10 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)YMg11 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 Y(1) atoms to form distorted MgK2Y2Mg8 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)K2Y2Mg8 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four Mg(5,5)KYMg10 cuboctahedra; edges with four equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent K(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent Y(1)K2Mg10 cuboctahedra; and faces with eight Mg(5,5)KYMg10 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)Y2Mg10 cuboctahedra; corners with four equivalent Mg(3)K2Y2Mg8 cuboctahedra; corners with four equivalent Y(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 Mg(5,5)KYMg10 cuboctahedra; edges with four equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; faces with two equivalent Mg(7)KMg11 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(6)YMg11 cuboctahedra; and faces with eight Mg(5,5)KYMg10 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 Y(1) atoms to form distorted MgK2Y2Mg8 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)K2Y2Mg8 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four Mg(5,5)KYMg10 cuboctahedra; edges with four equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent K(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent Y(1)K2Mg10 cuboctahedra; and faces with eight Mg(5,5)KYMg10 cuboctahedra. In the sixth Mg site, Mg(5) is bonded 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 Y(1) atom to form distorted MgKYMg10 cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra; corners with four equivalent Mg(6)YMg11 cuboctahedra; corners with ten Mg(5,5)KYMg10 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; edges with two equivalent Mg(7)KMg11 cuboctahedra; edges with two equivalent Mg(5)KYMg10 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 two equivalent Mg(6)YMg11 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra;  a faceface with one K(1)Y2Mg10 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Y(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; faces with four equivalent Mg(5)KYMg10 cuboctahedra; and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the seventh Mg site, Mg(5) is bonded 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 Y(1) atom to form distorted MgKYMg10 cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra; corners with four equivalent Mg(6)YMg11 cuboctahedra; corners with ten equivalent Mg(5)KYMg10 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; edges with two equivalent Mg(7)KMg11 cuboctahedra; edges with two equivalent Mg(5)KYMg10 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 two equivalent Mg(6)YMg11 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra;  a faceface with one K(1)Y2Mg10 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Y(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with four Mg(3,3)K2Y2Mg8 cuboctahedra; faces with four equivalent Mg(5)KYMg10 cuboctahedra; and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the eighth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(7); four Mg(5,5); and one Y(1) atom to form MgYMg11 cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra; corners with six equivalent Mg(6)YMg11 cuboctahedra; corners with eight Mg(5,5)KYMg10 cuboctahedra; edges with two equivalent Mg(7)KMg11 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra; edges with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; edges with four Mg(5,5)KYMg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Y(1)K2Mg10 cuboctahedra; faces with two Mg(3,3)K2Y2Mg8 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with three equivalent K(1)Y2Mg10 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; and faces with four Mg(5,5)KYMg10 cuboctahedra. In the ninth Mg site, Mg(7) is bonded to one K(1); one Mg(2); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(6); and four Mg(5,5) atoms to form distorted MgKMg11 cuboctahedra that share corners with four equivalent Mg(6)YMg11 cuboctahedra; corners with six equivalent Mg(7)KMg11 cuboctahedra; corners with eight Mg(5,5)KYMg10 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(6)YMg11 cuboctahedra; edges with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; edges with four Mg(5,5)KYMg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra;  a faceface with one K(1)Y2Mg10 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two Mg(3,3)K2Y2Mg8 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Y(1)K2Mg10 cuboctahedra; and faces with four Mg(5,5)KYMg10 cuboctahedra. In the tenth 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 Y(1) atoms to form distorted MgK2Y2Mg8 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)K2Y2Mg8 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four Mg(5,5)KYMg10 cuboctahedra; edges with four equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent K(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent Y(1)K2Mg10 cuboctahedra; and faces with eight Mg(5,5)KYMg10 cuboctahedra. Y(1) is bonded to two equivalent K(1); two equivalent Mg(6); four Mg(3,3,3); and four Mg(5,5) atoms to form YK2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Y(1)K2Mg10 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; edges with four equivalent Mg(6)YMg11 cuboctahedra; edges with eight Mg(5,5)KYMg10 cuboctahedra; faces with two equivalent K(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; faces with four Mg(5,5)KYMg10 cuboctahedra; and faces with six equivalent Mg(7)KMg11 cuboctahedra. is represented by the CIF file [CIF]
data_KYMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.637
_cell_length_b   6.638
_cell_length_c   10.596
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.001
_symmetry_Int_Tables_number   1
_cell_volume   404.256
_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  0.166  0.833  0.125  1.0
  Y  Y1  1  0.172  0.336  0.125  1.0
  Mg  Mg2  1  0.165  0.333  0.625  1.0
  Mg  Mg3  1  0.167  0.833  0.625  1.0
  Mg  Mg4  1  0.662  0.328  0.125  1.0
  Mg  Mg5  1  0.668  0.334  0.625  1.0
  Mg  Mg6  1  0.662  0.834  0.125  1.0
  Mg  Mg7  1  0.668  0.833  0.625  1.0
  Mg  Mg8  1  0.339  0.176  0.387  1.0
  Mg  Mg9  1  0.339  0.176  0.863  1.0
  Mg  Mg10  1  0.339  0.663  0.387  1.0
  Mg  Mg11  1  0.339  0.663  0.863  1.0
  Mg  Mg12  1  0.833  0.166  0.376  1.0
  Mg  Mg13  1  0.833  0.166  0.874  1.0
  Mg  Mg14  1  0.823  0.662  0.383  1.0
  Mg  Mg15  1  0.823  0.662  0.867  1.0
[/CIF]
.
The compound described by KMg14Y crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(7); four Mg(3,3,3); four Mg(5,5); and two equivalent Y(1) atoms to form KY2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent K(1)Y2Mg10 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra; edges with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with eight Mg(5,5)KYMg10 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Y(1)K2Mg10 cuboctahedra; faces with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; faces with four Mg(5,5)KYMg10 cuboctahedra; and faces with six equivalent Mg(6)YMg11 cuboctahedra. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four equivalent Mg(4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Y2Mg10 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3)K2Y2Mg8 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(6)YMg11 cuboctahedra; edges with eight Mg(5,5)KYMg10 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent Y(1)K2Mg10 cuboctahedra; faces with four Mg(5,5)KYMg10 cuboctahedra; faces with four equivalent Mg(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 equivalent Mg(4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Y(1)K2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3)K2Y2Mg8 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(5,5)KYMg10 cuboctahedra; faces with two equivalent K(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with four Mg(5,5)KYMg10 cuboctahedra; faces with four equivalent Mg(4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)YMg11 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 Y(1) atoms to form distorted MgK2Y2Mg8 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)K2Y2Mg8 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four Mg(5,5)KYMg10 cuboctahedra; edges with four equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent K(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent Y(1)K2Mg10 cuboctahedra; and faces with eight Mg(5,5)KYMg10 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)Y2Mg10 cuboctahedra; corners with four equivalent Mg(3)K2Y2Mg8 cuboctahedra; corners with four equivalent Y(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 Mg(5,5)KYMg10 cuboctahedra; edges with four equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; faces with two equivalent Mg(7)KMg11 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(6)YMg11 cuboctahedra; and faces with eight Mg(5,5)KYMg10 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 Y(1) atoms to form distorted MgK2Y2Mg8 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)K2Y2Mg8 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four Mg(5,5)KYMg10 cuboctahedra; edges with four equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent K(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent Y(1)K2Mg10 cuboctahedra; and faces with eight Mg(5,5)KYMg10 cuboctahedra. In the sixth Mg site, Mg(5) is bonded 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 Y(1) atom to form distorted MgKYMg10 cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra; corners with four equivalent Mg(6)YMg11 cuboctahedra; corners with ten Mg(5,5)KYMg10 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; edges with two equivalent Mg(7)KMg11 cuboctahedra; edges with two equivalent Mg(5)KYMg10 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 two equivalent Mg(6)YMg11 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra;  a faceface with one K(1)Y2Mg10 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Y(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; faces with four equivalent Mg(5)KYMg10 cuboctahedra; and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the seventh Mg site, Mg(5) is bonded 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 Y(1) atom to form distorted MgKYMg10 cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra; corners with four equivalent Mg(6)YMg11 cuboctahedra; corners with ten equivalent Mg(5)KYMg10 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; edges with two equivalent Mg(7)KMg11 cuboctahedra; edges with two equivalent Mg(5)KYMg10 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 two equivalent Mg(6)YMg11 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra;  a faceface with one K(1)Y2Mg10 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Y(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with four Mg(3,3)K2Y2Mg8 cuboctahedra; faces with four equivalent Mg(5)KYMg10 cuboctahedra; and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the eighth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(7); four Mg(5,5); and one Y(1) atom to form MgYMg11 cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra; corners with six equivalent Mg(6)YMg11 cuboctahedra; corners with eight Mg(5,5)KYMg10 cuboctahedra; edges with two equivalent Mg(7)KMg11 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra; edges with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; edges with four Mg(5,5)KYMg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Y(1)K2Mg10 cuboctahedra; faces with two Mg(3,3)K2Y2Mg8 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with three equivalent K(1)Y2Mg10 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; and faces with four Mg(5,5)KYMg10 cuboctahedra. In the ninth Mg site, Mg(7) is bonded to one K(1); one Mg(2); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(6); and four Mg(5,5) atoms to form distorted MgKMg11 cuboctahedra that share corners with four equivalent Mg(6)YMg11 cuboctahedra; corners with six equivalent Mg(7)KMg11 cuboctahedra; corners with eight Mg(5,5)KYMg10 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(6)YMg11 cuboctahedra; edges with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; edges with four Mg(5,5)KYMg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra;  a faceface with one K(1)Y2Mg10 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two Mg(3,3)K2Y2Mg8 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Y(1)K2Mg10 cuboctahedra; and faces with four Mg(5,5)KYMg10 cuboctahedra. In the tenth 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 Y(1) atoms to form distorted MgK2Y2Mg8 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)K2Y2Mg8 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; edges with two equivalent Y(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(7)KMg11 cuboctahedra; edges with four Mg(5,5)KYMg10 cuboctahedra; edges with four equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent K(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(3)K2Y2Mg8 cuboctahedra; faces with two equivalent Mg(7)KMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with two equivalent Y(1)K2Mg10 cuboctahedra; and faces with eight Mg(5,5)KYMg10 cuboctahedra. Y(1) is bonded to two equivalent K(1); two equivalent Mg(6); four Mg(3,3,3); and four Mg(5,5) atoms to form YK2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Y(1)K2Mg10 cuboctahedra; corners with eight equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent K(1)Y2Mg10 cuboctahedra; edges with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; edges with four equivalent Mg(6)YMg11 cuboctahedra; edges with eight Mg(5,5)KYMg10 cuboctahedra; faces with two equivalent K(1)Y2Mg10 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(6)YMg11 cuboctahedra; faces with four Mg(3,3,3)K2Y2Mg8 cuboctahedra; faces with four Mg(5,5)KYMg10 cuboctahedra; and faces with six equivalent Mg(7)KMg11 cuboctahedra. is represented by the CIF file [CIF]
data_KYMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.637
_cell_length_b   6.638
_cell_length_c   10.596
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.001
_symmetry_Int_Tables_number   1
_cell_volume   404.256
_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  0.166  0.833  0.125  1.0
  Y  Y1  1  0.172  0.336  0.125  1.0
  Mg  Mg2  1  0.165  0.333  0.625  1.0
  Mg  Mg3  1  0.167  0.833  0.625  1.0
  Mg  Mg4  1  0.662  0.328  0.125  1.0
  Mg  Mg5  1  0.668  0.334  0.625  1.0
  Mg  Mg6  1  0.662  0.834  0.125  1.0
  Mg  Mg7  1  0.668  0.833  0.625  1.0
  Mg  Mg8  1  0.339  0.176  0.387  1.0
  Mg  Mg9  1  0.339  0.176  0.863  1.0
  Mg  Mg10  1  0.339  0.663  0.387  1.0
  Mg  Mg11  1  0.339  0.663  0.863  1.0
  Mg  Mg12  1  0.833  0.166  0.376  1.0
  Mg  Mg13  1  0.833  0.166  0.874  1.0
  Mg  Mg14  1  0.823  0.662  0.383  1.0
  Mg  Mg15  1  0.823  0.662  0.867  1.0
[/CIF]
.