The crystal structure described by KMg14La crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent La(1) atoms to form KLa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent K(1)La2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent La(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent La(1)K2Mg10 cuboctahedra; and faces with six equivalent Mg(7)LaMg11 cuboctahedra. There are nine 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 equivalent Mg(5) atoms to form distorted MgMg12 cuboctahedra that share corners with four equivalent La(1)K2Mg10 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; faces with two equivalent K(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)LaMg11 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) atoms to form distorted MgMg12 cuboctahedra that share corners with four equivalent K(1)La2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)LaMg11 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent La(1)K2Mg10 cuboctahedra; and faces with four Mg(4,4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 11-coordinate geometry to two equivalent K(1), one Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent La(1) atoms. 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 distorted MgMg12 cuboctahedra that share corners with four equivalent K(1)La2Mg10 cuboctahedra, corners with four equivalent La(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)LaMg11 cuboctahedra, faces with two equivalent Mg(7)LaMg11 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(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 distorted MgMg12 cuboctahedra that share corners with four equivalent K(1)La2Mg10 cuboctahedra; corners with four equivalent La(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)LaMg11 cuboctahedra; faces with two equivalent Mg(7)LaMg11 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 sixth 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 La(1) atom. 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 La(1) atom. In the eighth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one K(1); one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); and four Mg(5,5) atoms. In the ninth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two equivalent Mg(4); two equivalent Mg(6); four Mg(5,5); and one La(1) atom to form distorted MgLaMg11 cuboctahedra that share corners with six equivalent Mg(7)LaMg11 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent La(1)K2Mg10 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one La(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent K(1)La2Mg10 cuboctahedra; and faces with three equivalent Mg(1)Mg12 cuboctahedra. La(1) is bonded to two equivalent K(1); two equivalent Mg(7); four equivalent Mg(3); and four Mg(5,5) atoms to form LaK2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent La(1)K2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent K(1)La2Mg10 cuboctahedra; edges with four equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent K(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; and faces with two equivalent Mg(2)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_KLaMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.669
_cell_length_b   6.669
_cell_length_c   10.534
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   117.208
_symmetry_Int_Tables_number   1
_cell_volume   416.702
_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  0.836  0.164  0.500  1.0
  La  La1  1  0.345  0.655  0.500  1.0
  Mg  Mg2  1  0.833  0.167  0.000  1.0
  Mg  Mg3  1  0.333  0.667  0.000  1.0
  Mg  Mg4  1  0.326  0.153  0.500  1.0
  Mg  Mg5  1  0.335  0.162  0.000  1.0
  Mg  Mg6  1  0.847  0.674  0.500  1.0
  Mg  Mg7  1  0.838  0.665  0.000  1.0
  Mg  Mg8  1  0.169  0.336  0.229  1.0
  Mg  Mg9  1  0.169  0.336  0.771  1.0
  Mg  Mg10  1  0.664  0.831  0.229  1.0
  Mg  Mg11  1  0.664  0.831  0.771  1.0
  Mg  Mg12  1  0.659  0.341  0.241  1.0
  Mg  Mg13  1  0.659  0.341  0.759  1.0
  Mg  Mg14  1  0.162  0.838  0.245  1.0
  Mg  Mg15  1  0.162  0.838  0.755  1.0
[/CIF]
.
The crystal structure described by KMg14La crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent La(1) atoms to form KLa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent K(1)La2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent La(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent La(1)K2Mg10 cuboctahedra; and faces with six equivalent Mg(7)LaMg11 cuboctahedra. There are nine 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 equivalent Mg(5) atoms to form distorted MgMg12 cuboctahedra that share corners with four equivalent La(1)K2Mg10 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; faces with two equivalent K(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)LaMg11 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) atoms to form distorted MgMg12 cuboctahedra that share corners with four equivalent K(1)La2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)LaMg11 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent La(1)K2Mg10 cuboctahedra; and faces with four Mg(4,4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 11-coordinate geometry to two equivalent K(1), one Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent La(1) atoms. 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 distorted MgMg12 cuboctahedra that share corners with four equivalent K(1)La2Mg10 cuboctahedra, corners with four equivalent La(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)LaMg11 cuboctahedra, faces with two equivalent Mg(7)LaMg11 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(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 distorted MgMg12 cuboctahedra that share corners with four equivalent K(1)La2Mg10 cuboctahedra; corners with four equivalent La(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)LaMg11 cuboctahedra; faces with two equivalent Mg(7)LaMg11 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 sixth 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 La(1) atom. 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 La(1) atom. In the eighth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one K(1); one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); and four Mg(5,5) atoms. In the ninth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two equivalent Mg(4); two equivalent Mg(6); four Mg(5,5); and one La(1) atom to form distorted MgLaMg11 cuboctahedra that share corners with six equivalent Mg(7)LaMg11 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent La(1)K2Mg10 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one La(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent K(1)La2Mg10 cuboctahedra; and faces with three equivalent Mg(1)Mg12 cuboctahedra. La(1) is bonded to two equivalent K(1); two equivalent Mg(7); four equivalent Mg(3); and four Mg(5,5) atoms to form LaK2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent La(1)K2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent K(1)La2Mg10 cuboctahedra; edges with four equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent K(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; and faces with two equivalent Mg(2)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_KLaMg14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.669
_cell_length_b   6.669
_cell_length_c   10.534
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   117.208
_symmetry_Int_Tables_number   1
_cell_volume   416.702
_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  0.836  0.164  0.500  1.0
  La  La1  1  0.345  0.655  0.500  1.0
  Mg  Mg2  1  0.833  0.167  0.000  1.0
  Mg  Mg3  1  0.333  0.667  0.000  1.0
  Mg  Mg4  1  0.326  0.153  0.500  1.0
  Mg  Mg5  1  0.335  0.162  0.000  1.0
  Mg  Mg6  1  0.847  0.674  0.500  1.0
  Mg  Mg7  1  0.838  0.665  0.000  1.0
  Mg  Mg8  1  0.169  0.336  0.229  1.0
  Mg  Mg9  1  0.169  0.336  0.771  1.0
  Mg  Mg10  1  0.664  0.831  0.229  1.0
  Mg  Mg11  1  0.664  0.831  0.771  1.0
  Mg  Mg12  1  0.659  0.341  0.241  1.0
  Mg  Mg13  1  0.659  0.341  0.759  1.0
  Mg  Mg14  1  0.162  0.838  0.245  1.0
  Mg  Mg15  1  0.162  0.838  0.755  1.0
[/CIF]
.