The crystal structure described by KLiMg14O15 crystallizes in the orthorhombic Pmm2 space group. K(1) is bonded in a 5-coordinate geometry to one O(2), two equivalent O(10), and two equivalent O(6) atoms. Li(1) is bonded to one O(1), one O(3), two equivalent O(10), and two equivalent O(7) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-7°. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(2), two equivalent O(11), and two equivalent O(8) atoms to form MgO5 square pyramids that share corners with two equivalent Mg(2)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, corners with two equivalent Mg(9)O5 square pyramids, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(7)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles are 14°. In the second Mg site, Mg(2) is bonded to one O(1), one O(3), two equivalent O(11), and two equivalent O(9) atoms to form MgO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-4°. In the third Mg site, Mg(3) is bonded to one O(4), one O(5), one O(6), one O(7), and two equivalent O(10) atoms to form MgO6 octahedra that share corners with two equivalent Mg(4)O6 octahedra, corners with four equivalent Mg(3)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 3-7°. In the fourth Mg site, Mg(4) is bonded to one O(4), one O(5), one O(8), one O(9), and two equivalent O(11) atoms to form MgO6 octahedra that share corners with two equivalent Mg(3)O6 octahedra, corners with four equivalent Mg(4)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(1)O5 square pyramids, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 2-9°. In the fifth Mg site, Mg(5) is bonded in a square co-planar geometry to one O(6), one O(8), and two equivalent O(4) atoms. In the sixth Mg site, Mg(6) is bonded to one O(7), one O(9), two equivalent O(1), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Mg(6)O6 octahedra, corners with two equivalent Mg(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with four equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-11°. In the seventh Mg site, Mg(7) is bonded to one O(6), one O(8), two equivalent O(2), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(7)O6 octahedra, corners with two equivalent Mg(8)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, edges with four equivalent Mg(10)O6 octahedra, and edges with two equivalent Mg(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 7-8°. In the eighth Mg site, Mg(8) is bonded to one O(7), one O(9), two equivalent O(3), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(6)O6 octahedra, corners with two equivalent Mg(7)O6 octahedra, corners with two equivalent Mg(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with four equivalent Mg(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the ninth Mg site, Mg(9) is bonded to one O(1), one O(10), one O(11), and two equivalent O(4) atoms to form distorted MgO5 square pyramids that share corners with two equivalent Mg(10)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid, corners with three equivalent Mg(9)O5 square pyramids,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-15°. In the tenth Mg site, Mg(10) is bonded to one O(10), one O(11), one O(2), one O(3), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with four equivalent Mg(10)O6 octahedra, corners with two equivalent Mg(9)O5 square pyramids,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, edges with two equivalent Mg(7)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 6-12°. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Mg(2), two equivalent Mg(6), and two equivalent Mg(9) atoms to form OLiMg5 octahedra that share corners with two equivalent O(1)LiMg5 octahedra, corners with two equivalent O(3)LiMg5 octahedra, edges with two equivalent O(10)KLiMg4 octahedra, edges with two equivalent O(7)Li2Mg4 octahedra, edges with two equivalent O(11)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with four equivalent O(4)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the second O site, O(2) is bonded to one K(1), one Mg(1), two equivalent Mg(10), and two equivalent Mg(7) atoms to form distorted OKMg5 octahedra that share corners with two equivalent O(2)KMg5 octahedra, corners with two equivalent O(3)LiMg5 octahedra, edges with two equivalent O(6)K2Mg4 octahedra, edges with two equivalent O(10)KLiMg4 octahedra, edges with two equivalent O(11)Mg6 octahedra, edges with two equivalent O(8)Mg6 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 8-9°. In the third O site, O(3) is bonded to one Li(1), one Mg(2), two equivalent Mg(10), and two equivalent Mg(8) atoms to form OLiMg5 octahedra that share corners with two equivalent O(2)KMg5 octahedra, corners with two equivalent O(1)LiMg5 octahedra, corners with two equivalent O(3)LiMg5 octahedra, edges with two equivalent O(10)KLiMg4 octahedra, edges with two equivalent O(7)Li2Mg4 octahedra, edges with two equivalent O(11)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the fourth O site, O(4) is bonded to one Mg(3), one Mg(4), one Mg(5), one Mg(6), and two equivalent Mg(9) atoms to form OMg6 octahedra that share corners with two equivalent O(5)Mg6 octahedra, corners with four equivalent O(4)Mg6 octahedra,  an edgeedge with one O(6)K2Mg4 octahedra,  an edgeedge with one O(7)Li2Mg4 octahedra,  an edgeedge with one O(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra, edges with two equivalent O(10)KLiMg4 octahedra, edges with two equivalent O(1)LiMg5 octahedra, and edges with two equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-20°. In the fifth O site, O(5) is bonded to one Mg(3), one Mg(4), one Mg(7), one Mg(8), and two equivalent Mg(10) atoms to form OMg6 octahedra that share corners with two equivalent O(4)Mg6 octahedra, corners with four equivalent O(5)Mg6 octahedra,  an edgeedge with one O(6)K2Mg4 octahedra,  an edgeedge with one O(7)Li2Mg4 octahedra,  an edgeedge with one O(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra, edges with two equivalent O(10)KLiMg4 octahedra, edges with two equivalent O(2)KMg5 octahedra, edges with two equivalent O(3)LiMg5 octahedra, and edges with two equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the sixth O site, O(6) is bonded to two equivalent K(1), one Mg(5), one Mg(7), and two equivalent Mg(3) atoms to form OK2Mg4 octahedra that share corners with two equivalent O(6)K2Mg4 octahedra, corners with two equivalent O(7)Li2Mg4 octahedra, corners with two equivalent O(8)Mg6 octahedra, edges with two equivalent O(2)KMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(10)KLiMg4 octahedra. The corner-sharing octahedral tilt angles range from 0-26°. In the seventh O site, O(7) is bonded to two equivalent Li(1), one Mg(6), one Mg(8), and two equivalent Mg(3) atoms to form OLi2Mg4 octahedra that share corners with two equivalent O(6)K2Mg4 octahedra, corners with two equivalent O(7)Li2Mg4 octahedra, corners with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(1)LiMg5 octahedra, edges with two equivalent O(3)LiMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(10)KLiMg4 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the eighth O site, O(8) is bonded to one Mg(5), one Mg(7), two equivalent Mg(1), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with two equivalent O(6)K2Mg4 octahedra, corners with two equivalent O(8)Mg6 octahedra, corners with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(2)KMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-17°. In the ninth O site, O(9) is bonded to one Mg(6), one Mg(8), two equivalent Mg(2), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with two equivalent O(7)Li2Mg4 octahedra, corners with two equivalent O(8)Mg6 octahedra, corners with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(1)LiMg5 octahedra, edges with two equivalent O(3)LiMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the tenth O site, O(10) is bonded to one K(1), one Li(1), one Mg(10), one Mg(9), and two equivalent Mg(3) atoms to form OKLiMg4 octahedra that share corners with two equivalent O(11)Mg6 octahedra, corners with four equivalent O(10)KLiMg4 octahedra,  an edgeedge with one O(2)KMg5 octahedra,  an edgeedge with one O(1)LiMg5 octahedra,  an edgeedge with one O(3)LiMg5 octahedra, edges with two equivalent O(6)K2Mg4 octahedra, edges with two equivalent O(7)Li2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, and edges with two equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 1-24°. In the eleventh O site, O(11) is bonded to one Mg(1), one Mg(10), one Mg(2), one Mg(9), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with two equivalent O(10)KLiMg4 octahedra, corners with four equivalent O(11)Mg6 octahedra,  an edgeedge with one O(2)KMg5 octahedra,  an edgeedge with one O(1)LiMg5 octahedra,  an edgeedge with one O(3)LiMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(8)Mg6 octahedra, and edges with two equivalent O(9)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 1-19°. is represented by the CIF card [CIF]
data_KLiMg14O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.471
_cell_length_b   8.733
_cell_length_c   4.370
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   323.251
_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  0.062  0.000  0.000  1.0
  Li  Li1  1  0.985  0.500  0.000  1.0
  Mg  Mg2  1  0.522  0.000  0.000  1.0
  Mg  Mg3  1  0.503  0.500  0.000  1.0
  Mg  Mg4  1  0.995  0.262  0.500  1.0
  Mg  Mg5  1  0.995  0.738  0.500  1.0
  Mg  Mg6  1  0.497  0.248  0.500  1.0
  Mg  Mg7  1  0.497  0.752  0.500  1.0
  Mg  Mg8  1  0.246  0.000  0.500  1.0
  Mg  Mg9  1  0.242  0.500  0.500  1.0
  Mg  Mg10  1  0.767  0.000  0.500  1.0
  Mg  Mg11  1  0.753  0.500  0.500  1.0
  Mg  Mg12  1  0.239  0.283  0.000  1.0
  Mg  Mg13  1  0.239  0.717  0.000  1.0
  Mg  Mg14  1  0.763  0.251  0.000  1.0
  Mg  Mg15  1  0.763  0.749  0.000  1.0
  O  O16  1  0.266  0.500  0.000  1.0
  O  O17  1  0.748  0.000  0.000  1.0
  O  O18  1  0.736  0.500  0.000  1.0
  O  O19  1  0.246  0.239  0.500  1.0
  O  O20  1  0.246  0.761  0.500  1.0
  O  O21  1  0.745  0.248  0.500  1.0
  O  O22  1  0.745  0.752  0.500  1.0
  O  O23  1  0.003  0.000  0.500  1.0
  O  O24  1  0.001  0.500  0.500  1.0
  O  O25  1  0.483  0.000  0.500  1.0
  O  O26  1  0.493  0.500  0.500  1.0
  O  O27  1  0.003  0.270  0.000  1.0
  O  O28  1  0.003  0.730  0.000  1.0
  O  O29  1  0.481  0.235  0.000  1.0
  O  O30  1  0.481  0.765  0.000  1.0
[/CIF]
.
The crystal structure described by KLiMg14O15 crystallizes in the orthorhombic Pmm2 space group. K(1) is bonded in a 5-coordinate geometry to one O(2), two equivalent O(10), and two equivalent O(6) atoms. Li(1) is bonded to one O(1), one O(3), two equivalent O(10), and two equivalent O(7) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-7°. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(2), two equivalent O(11), and two equivalent O(8) atoms to form MgO5 square pyramids that share corners with two equivalent Mg(2)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, corners with two equivalent Mg(9)O5 square pyramids, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(7)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles are 14°. In the second Mg site, Mg(2) is bonded to one O(1), one O(3), two equivalent O(11), and two equivalent O(9) atoms to form MgO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-4°. In the third Mg site, Mg(3) is bonded to one O(4), one O(5), one O(6), one O(7), and two equivalent O(10) atoms to form MgO6 octahedra that share corners with two equivalent Mg(4)O6 octahedra, corners with four equivalent Mg(3)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 3-7°. In the fourth Mg site, Mg(4) is bonded to one O(4), one O(5), one O(8), one O(9), and two equivalent O(11) atoms to form MgO6 octahedra that share corners with two equivalent Mg(3)O6 octahedra, corners with four equivalent Mg(4)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(1)O5 square pyramids, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 2-9°. In the fifth Mg site, Mg(5) is bonded in a square co-planar geometry to one O(6), one O(8), and two equivalent O(4) atoms. In the sixth Mg site, Mg(6) is bonded to one O(7), one O(9), two equivalent O(1), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Mg(6)O6 octahedra, corners with two equivalent Mg(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with four equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-11°. In the seventh Mg site, Mg(7) is bonded to one O(6), one O(8), two equivalent O(2), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(7)O6 octahedra, corners with two equivalent Mg(8)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, edges with four equivalent Mg(10)O6 octahedra, and edges with two equivalent Mg(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 7-8°. In the eighth Mg site, Mg(8) is bonded to one O(7), one O(9), two equivalent O(3), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with two equivalent Mg(6)O6 octahedra, corners with two equivalent Mg(7)O6 octahedra, corners with two equivalent Mg(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with four equivalent Mg(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the ninth Mg site, Mg(9) is bonded to one O(1), one O(10), one O(11), and two equivalent O(4) atoms to form distorted MgO5 square pyramids that share corners with two equivalent Mg(10)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid, corners with three equivalent Mg(9)O5 square pyramids,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-15°. In the tenth Mg site, Mg(10) is bonded to one O(10), one O(11), one O(2), one O(3), and two equivalent O(5) atoms to form MgO6 octahedra that share corners with four equivalent Mg(10)O6 octahedra, corners with two equivalent Mg(9)O5 square pyramids,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, edges with two equivalent Mg(7)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles range from 6-12°. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Mg(2), two equivalent Mg(6), and two equivalent Mg(9) atoms to form OLiMg5 octahedra that share corners with two equivalent O(1)LiMg5 octahedra, corners with two equivalent O(3)LiMg5 octahedra, edges with two equivalent O(10)KLiMg4 octahedra, edges with two equivalent O(7)Li2Mg4 octahedra, edges with two equivalent O(11)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with four equivalent O(4)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the second O site, O(2) is bonded to one K(1), one Mg(1), two equivalent Mg(10), and two equivalent Mg(7) atoms to form distorted OKMg5 octahedra that share corners with two equivalent O(2)KMg5 octahedra, corners with two equivalent O(3)LiMg5 octahedra, edges with two equivalent O(6)K2Mg4 octahedra, edges with two equivalent O(10)KLiMg4 octahedra, edges with two equivalent O(11)Mg6 octahedra, edges with two equivalent O(8)Mg6 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 8-9°. In the third O site, O(3) is bonded to one Li(1), one Mg(2), two equivalent Mg(10), and two equivalent Mg(8) atoms to form OLiMg5 octahedra that share corners with two equivalent O(2)KMg5 octahedra, corners with two equivalent O(1)LiMg5 octahedra, corners with two equivalent O(3)LiMg5 octahedra, edges with two equivalent O(10)KLiMg4 octahedra, edges with two equivalent O(7)Li2Mg4 octahedra, edges with two equivalent O(11)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the fourth O site, O(4) is bonded to one Mg(3), one Mg(4), one Mg(5), one Mg(6), and two equivalent Mg(9) atoms to form OMg6 octahedra that share corners with two equivalent O(5)Mg6 octahedra, corners with four equivalent O(4)Mg6 octahedra,  an edgeedge with one O(6)K2Mg4 octahedra,  an edgeedge with one O(7)Li2Mg4 octahedra,  an edgeedge with one O(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra, edges with two equivalent O(10)KLiMg4 octahedra, edges with two equivalent O(1)LiMg5 octahedra, and edges with two equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-20°. In the fifth O site, O(5) is bonded to one Mg(3), one Mg(4), one Mg(7), one Mg(8), and two equivalent Mg(10) atoms to form OMg6 octahedra that share corners with two equivalent O(4)Mg6 octahedra, corners with four equivalent O(5)Mg6 octahedra,  an edgeedge with one O(6)K2Mg4 octahedra,  an edgeedge with one O(7)Li2Mg4 octahedra,  an edgeedge with one O(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra, edges with two equivalent O(10)KLiMg4 octahedra, edges with two equivalent O(2)KMg5 octahedra, edges with two equivalent O(3)LiMg5 octahedra, and edges with two equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the sixth O site, O(6) is bonded to two equivalent K(1), one Mg(5), one Mg(7), and two equivalent Mg(3) atoms to form OK2Mg4 octahedra that share corners with two equivalent O(6)K2Mg4 octahedra, corners with two equivalent O(7)Li2Mg4 octahedra, corners with two equivalent O(8)Mg6 octahedra, edges with two equivalent O(2)KMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(10)KLiMg4 octahedra. The corner-sharing octahedral tilt angles range from 0-26°. In the seventh O site, O(7) is bonded to two equivalent Li(1), one Mg(6), one Mg(8), and two equivalent Mg(3) atoms to form OLi2Mg4 octahedra that share corners with two equivalent O(6)K2Mg4 octahedra, corners with two equivalent O(7)Li2Mg4 octahedra, corners with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(1)LiMg5 octahedra, edges with two equivalent O(3)LiMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(10)KLiMg4 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the eighth O site, O(8) is bonded to one Mg(5), one Mg(7), two equivalent Mg(1), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with two equivalent O(6)K2Mg4 octahedra, corners with two equivalent O(8)Mg6 octahedra, corners with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(2)KMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-17°. In the ninth O site, O(9) is bonded to one Mg(6), one Mg(8), two equivalent Mg(2), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with two equivalent O(7)Li2Mg4 octahedra, corners with two equivalent O(8)Mg6 octahedra, corners with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(1)LiMg5 octahedra, edges with two equivalent O(3)LiMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the tenth O site, O(10) is bonded to one K(1), one Li(1), one Mg(10), one Mg(9), and two equivalent Mg(3) atoms to form OKLiMg4 octahedra that share corners with two equivalent O(11)Mg6 octahedra, corners with four equivalent O(10)KLiMg4 octahedra,  an edgeedge with one O(2)KMg5 octahedra,  an edgeedge with one O(1)LiMg5 octahedra,  an edgeedge with one O(3)LiMg5 octahedra, edges with two equivalent O(6)K2Mg4 octahedra, edges with two equivalent O(7)Li2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, and edges with two equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 1-24°. In the eleventh O site, O(11) is bonded to one Mg(1), one Mg(10), one Mg(2), one Mg(9), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with two equivalent O(10)KLiMg4 octahedra, corners with four equivalent O(11)Mg6 octahedra,  an edgeedge with one O(2)KMg5 octahedra,  an edgeedge with one O(1)LiMg5 octahedra,  an edgeedge with one O(3)LiMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(8)Mg6 octahedra, and edges with two equivalent O(9)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 1-19°. is represented by the CIF card [CIF]
data_KLiMg14O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.471
_cell_length_b   8.733
_cell_length_c   4.370
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   323.251
_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  0.062  0.000  0.000  1.0
  Li  Li1  1  0.985  0.500  0.000  1.0
  Mg  Mg2  1  0.522  0.000  0.000  1.0
  Mg  Mg3  1  0.503  0.500  0.000  1.0
  Mg  Mg4  1  0.995  0.262  0.500  1.0
  Mg  Mg5  1  0.995  0.738  0.500  1.0
  Mg  Mg6  1  0.497  0.248  0.500  1.0
  Mg  Mg7  1  0.497  0.752  0.500  1.0
  Mg  Mg8  1  0.246  0.000  0.500  1.0
  Mg  Mg9  1  0.242  0.500  0.500  1.0
  Mg  Mg10  1  0.767  0.000  0.500  1.0
  Mg  Mg11  1  0.753  0.500  0.500  1.0
  Mg  Mg12  1  0.239  0.283  0.000  1.0
  Mg  Mg13  1  0.239  0.717  0.000  1.0
  Mg  Mg14  1  0.763  0.251  0.000  1.0
  Mg  Mg15  1  0.763  0.749  0.000  1.0
  O  O16  1  0.266  0.500  0.000  1.0
  O  O17  1  0.748  0.000  0.000  1.0
  O  O18  1  0.736  0.500  0.000  1.0
  O  O19  1  0.246  0.239  0.500  1.0
  O  O20  1  0.246  0.761  0.500  1.0
  O  O21  1  0.745  0.248  0.500  1.0
  O  O22  1  0.745  0.752  0.500  1.0
  O  O23  1  0.003  0.000  0.500  1.0
  O  O24  1  0.001  0.500  0.500  1.0
  O  O25  1  0.483  0.000  0.500  1.0
  O  O26  1  0.493  0.500  0.500  1.0
  O  O27  1  0.003  0.270  0.000  1.0
  O  O28  1  0.003  0.730  0.000  1.0
  O  O29  1  0.481  0.235  0.000  1.0
  O  O30  1  0.481  0.765  0.000  1.0
[/CIF]
.