The material described by CsKMg14O15 crystallizes in the orthorhombic Pmm2 space group. Cs(1) is bonded in a 4-coordinate geometry to two equivalent O(11) and two equivalent O(9) atoms. K(1) is bonded in a 5-coordinate geometry to one O(2), two equivalent O(10), and two equivalent O(6) atoms. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(3), two equivalent O(10), and two equivalent O(7) atoms to form MgO5 trigonal bipyramids that share corners with two equivalent Mg(1)O5 trigonal bipyramids, corners with two equivalent Mg(10)O5 trigonal bipyramids, and edges with two equivalent Mg(8)O6 octahedra. In the second Mg site, Mg(2) is bonded to one O(1), one O(2), two equivalent O(11), and two equivalent O(8) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, edges with four equivalent Mg(4)O5 square pyramids, edges with two equivalent Mg(10)O5 trigonal bipyramids, and edges with two equivalent Mg(7)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. In the third Mg site, Mg(3) is bonded in a 5-coordinate geometry to one O(5), one O(6), one O(7), and two equivalent O(10) atoms. In the fourth Mg site, Mg(4) is bonded to one O(4), one O(8), one O(9), and two equivalent O(11) atoms to form MgO5 square pyramids that share  a cornercorner with one Mg(8)O6 octahedra, corners with four equivalent Mg(4)O5 square pyramids,  a cornercorner with one Mg(7)O5 trigonal bipyramid, corners with two equivalent Mg(10)O5 trigonal bipyramids,  an edgeedge with one Mg(5)O6 octahedra, and edges with two equivalent Mg(2)O6 octahedra. The corner-sharing octahedral tilt angles are 75°. In the fifth Mg site, Mg(5) is bonded to one O(6), one O(8), two equivalent O(1), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Mg(5)O6 octahedra,  a cornercorner with one Mg(7)O5 trigonal bipyramid, edges with two equivalent Mg(2)O6 octahedra, and edges with two equivalent Mg(4)O5 square pyramids. The corner-sharing octahedral tilt angles are 9°. In the sixth Mg site, Mg(6) is bonded in a distorted trigonal planar geometry to one O(7) and two equivalent O(4) atoms. In the seventh Mg site, Mg(7) is bonded to one O(8), two equivalent O(2), and two equivalent O(5) atoms to form MgO5 trigonal bipyramids that share  a cornercorner with one Mg(5)O6 octahedra, corners with two equivalent Mg(8)O6 octahedra, corners with two equivalent Mg(4)O5 square pyramids, corners with two equivalent Mg(7)O5 trigonal bipyramids, edges with two equivalent Mg(2)O6 octahedra, and edges with four equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 0-27°. 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 distorted MgO6 octahedra that share corners with two equivalent Mg(8)O6 octahedra, corners with two equivalent Mg(4)O5 square pyramids, corners with two equivalent Mg(7)O5 trigonal bipyramids, edges with two equivalent Mg(1)O5 trigonal bipyramids, and edges with four equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 12°. In the ninth Mg site, Mg(9) is bonded in a 4-coordinate geometry to one O(1), one O(10), and two equivalent O(4) atoms. In the tenth Mg site, Mg(10) is bonded to one O(11), one O(2), one O(3), and two equivalent O(5) atoms to form MgO5 trigonal bipyramids that share corners with two equivalent Mg(4)O5 square pyramids,  a cornercorner with one Mg(1)O5 trigonal bipyramid, corners with four equivalent Mg(10)O5 trigonal bipyramids,  an edgeedge with one Mg(2)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, and edges with two equivalent Mg(7)O5 trigonal bipyramids. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to one Mg(2), two equivalent Mg(5), and two equivalent Mg(9) atoms to form OMg5 trigonal bipyramids that share  a cornercorner with one O(2)KMg5 octahedra, corners with two equivalent O(1)Mg5 trigonal bipyramids, and edges with two equivalent O(8)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the second O site, O(2) is bonded to one K(1), one Mg(2), two equivalent Mg(10), and two equivalent Mg(7) atoms to form OKMg5 octahedra that share corners with two equivalent O(2)KMg5 octahedra,  a cornercorner with one O(1)Mg5 trigonal bipyramid, corners with two equivalent O(3)Mg5 trigonal bipyramids, edges with two equivalent O(8)Mg6 octahedra, and edges with four equivalent O(5)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 2°. In the third O site, O(3) is bonded to one Mg(1), two equivalent Mg(10), and two equivalent Mg(8) atoms to form OMg5 trigonal bipyramids that share corners with two equivalent O(2)KMg5 octahedra, corners with two equivalent O(3)Mg5 trigonal bipyramids, edges with two equivalent O(7)Mg6 octahedra, and edges with four equivalent O(5)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 12°. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Mg(4), one Mg(5), one Mg(6), and two equivalent Mg(9) atoms. In the fifth O site, O(5) is bonded to one Mg(3), one Mg(7), one Mg(8), and two equivalent Mg(10) atoms to form distorted OMg5 trigonal bipyramids that share  a cornercorner with one O(8)Mg6 octahedra, corners with four equivalent O(5)Mg5 trigonal bipyramids,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(2)KMg5 octahedra, and edges with two equivalent O(3)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 71°. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to two equivalent K(1), one Mg(5), and two equivalent Mg(3) atoms. In the seventh O site, O(7) is bonded to one Mg(6), one Mg(8), two equivalent Mg(1), and two equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(3)Mg5 trigonal bipyramids, and edges with two equivalent O(5)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 14°. In the eighth O site, O(8) is bonded to one Mg(5), one Mg(7), two equivalent Mg(2), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with two equivalent O(8)Mg6 octahedra, corners with two equivalent O(5)Mg5 trigonal bipyramids, edges with two equivalent O(2)KMg5 octahedra, and edges with two equivalent O(1)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. In the ninth O site, O(9) is bonded in a 5-coordinate geometry to two equivalent Cs(1), one Mg(8), and two equivalent Mg(4) atoms. In the tenth O site, O(10) is bonded in a 5-coordinate geometry to one K(1), one Mg(1), one Mg(9), and two equivalent Mg(3) atoms. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Cs(1), one Mg(10), one Mg(2), and two equivalent Mg(4) atoms. is represented by the CIF file [CIF]
data_CsKMg14O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.209
_cell_length_b   8.536
_cell_length_c   9.990
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   358.905
_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
  Cs  Cs0  1  0.000  0.500  0.605  1.0
  K  K1  1  0.000  0.000  0.042  1.0
  Mg  Mg2  1  0.000  0.500  0.033  1.0
  Mg  Mg3  1  0.000  0.000  0.498  1.0
  Mg  Mg4  1  0.500  0.757  0.003  1.0
  Mg  Mg5  1  0.500  0.243  0.003  1.0
  Mg  Mg6  1  0.500  0.742  0.504  1.0
  Mg  Mg7  1  0.500  0.258  0.504  1.0
  Mg  Mg8  1  0.500  0.000  0.726  1.0
  Mg  Mg9  1  0.500  0.500  0.812  1.0
  Mg  Mg10  1  0.500  0.000  0.290  1.0
  Mg  Mg11  1  0.500  0.500  0.250  1.0
  Mg  Mg12  1  0.000  0.786  0.769  1.0
  Mg  Mg13  1  0.000  0.214  0.769  1.0
  Mg  Mg14  1  0.000  0.745  0.281  1.0
  Mg  Mg15  1  0.000  0.255  0.281  1.0
  O  O16  1  0.000  0.000  0.709  1.0
  O  O17  1  0.000  0.000  0.287  1.0
  O  O18  1  0.000  0.500  0.229  1.0
  O  O19  1  0.500  0.722  0.728  1.0
  O  O20  1  0.500  0.278  0.728  1.0
  O  O21  1  0.500  0.765  0.220  1.0
  O  O22  1  0.500  0.235  0.220  1.0
  O  O23  1  0.500  0.000  0.928  1.0
  O  O24  1  0.500  0.500  0.007  1.0
  O  O25  1  0.500  0.000  0.504  1.0
  O  O26  1  0.500  0.500  0.450  1.0
  O  O27  1  0.000  0.712  0.953  1.0
  O  O28  1  0.000  0.288  0.953  1.0
  O  O29  1  0.000  0.765  0.482  1.0
  O  O30  1  0.000  0.235  0.482  1.0
[/CIF]
.
The material described by CsKMg14O15 crystallizes in the orthorhombic Pmm2 space group. Cs(1) is bonded in a 4-coordinate geometry to two equivalent O(11) and two equivalent O(9) atoms. K(1) is bonded in a 5-coordinate geometry to one O(2), two equivalent O(10), and two equivalent O(6) atoms. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(3), two equivalent O(10), and two equivalent O(7) atoms to form MgO5 trigonal bipyramids that share corners with two equivalent Mg(1)O5 trigonal bipyramids, corners with two equivalent Mg(10)O5 trigonal bipyramids, and edges with two equivalent Mg(8)O6 octahedra. In the second Mg site, Mg(2) is bonded to one O(1), one O(2), two equivalent O(11), and two equivalent O(8) atoms to form MgO6 octahedra that share corners with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, edges with four equivalent Mg(4)O5 square pyramids, edges with two equivalent Mg(10)O5 trigonal bipyramids, and edges with two equivalent Mg(7)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. In the third Mg site, Mg(3) is bonded in a 5-coordinate geometry to one O(5), one O(6), one O(7), and two equivalent O(10) atoms. In the fourth Mg site, Mg(4) is bonded to one O(4), one O(8), one O(9), and two equivalent O(11) atoms to form MgO5 square pyramids that share  a cornercorner with one Mg(8)O6 octahedra, corners with four equivalent Mg(4)O5 square pyramids,  a cornercorner with one Mg(7)O5 trigonal bipyramid, corners with two equivalent Mg(10)O5 trigonal bipyramids,  an edgeedge with one Mg(5)O6 octahedra, and edges with two equivalent Mg(2)O6 octahedra. The corner-sharing octahedral tilt angles are 75°. In the fifth Mg site, Mg(5) is bonded to one O(6), one O(8), two equivalent O(1), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Mg(5)O6 octahedra,  a cornercorner with one Mg(7)O5 trigonal bipyramid, edges with two equivalent Mg(2)O6 octahedra, and edges with two equivalent Mg(4)O5 square pyramids. The corner-sharing octahedral tilt angles are 9°. In the sixth Mg site, Mg(6) is bonded in a distorted trigonal planar geometry to one O(7) and two equivalent O(4) atoms. In the seventh Mg site, Mg(7) is bonded to one O(8), two equivalent O(2), and two equivalent O(5) atoms to form MgO5 trigonal bipyramids that share  a cornercorner with one Mg(5)O6 octahedra, corners with two equivalent Mg(8)O6 octahedra, corners with two equivalent Mg(4)O5 square pyramids, corners with two equivalent Mg(7)O5 trigonal bipyramids, edges with two equivalent Mg(2)O6 octahedra, and edges with four equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 0-27°. 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 distorted MgO6 octahedra that share corners with two equivalent Mg(8)O6 octahedra, corners with two equivalent Mg(4)O5 square pyramids, corners with two equivalent Mg(7)O5 trigonal bipyramids, edges with two equivalent Mg(1)O5 trigonal bipyramids, and edges with four equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 12°. In the ninth Mg site, Mg(9) is bonded in a 4-coordinate geometry to one O(1), one O(10), and two equivalent O(4) atoms. In the tenth Mg site, Mg(10) is bonded to one O(11), one O(2), one O(3), and two equivalent O(5) atoms to form MgO5 trigonal bipyramids that share corners with two equivalent Mg(4)O5 square pyramids,  a cornercorner with one Mg(1)O5 trigonal bipyramid, corners with four equivalent Mg(10)O5 trigonal bipyramids,  an edgeedge with one Mg(2)O6 octahedra, edges with two equivalent Mg(8)O6 octahedra, and edges with two equivalent Mg(7)O5 trigonal bipyramids. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to one Mg(2), two equivalent Mg(5), and two equivalent Mg(9) atoms to form OMg5 trigonal bipyramids that share  a cornercorner with one O(2)KMg5 octahedra, corners with two equivalent O(1)Mg5 trigonal bipyramids, and edges with two equivalent O(8)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the second O site, O(2) is bonded to one K(1), one Mg(2), two equivalent Mg(10), and two equivalent Mg(7) atoms to form OKMg5 octahedra that share corners with two equivalent O(2)KMg5 octahedra,  a cornercorner with one O(1)Mg5 trigonal bipyramid, corners with two equivalent O(3)Mg5 trigonal bipyramids, edges with two equivalent O(8)Mg6 octahedra, and edges with four equivalent O(5)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 2°. In the third O site, O(3) is bonded to one Mg(1), two equivalent Mg(10), and two equivalent Mg(8) atoms to form OMg5 trigonal bipyramids that share corners with two equivalent O(2)KMg5 octahedra, corners with two equivalent O(3)Mg5 trigonal bipyramids, edges with two equivalent O(7)Mg6 octahedra, and edges with four equivalent O(5)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 12°. In the fourth O site, O(4) is bonded in a 5-coordinate geometry to one Mg(4), one Mg(5), one Mg(6), and two equivalent Mg(9) atoms. In the fifth O site, O(5) is bonded to one Mg(3), one Mg(7), one Mg(8), and two equivalent Mg(10) atoms to form distorted OMg5 trigonal bipyramids that share  a cornercorner with one O(8)Mg6 octahedra, corners with four equivalent O(5)Mg5 trigonal bipyramids,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(2)KMg5 octahedra, and edges with two equivalent O(3)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 71°. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to two equivalent K(1), one Mg(5), and two equivalent Mg(3) atoms. In the seventh O site, O(7) is bonded to one Mg(6), one Mg(8), two equivalent Mg(1), and two equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(3)Mg5 trigonal bipyramids, and edges with two equivalent O(5)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 14°. In the eighth O site, O(8) is bonded to one Mg(5), one Mg(7), two equivalent Mg(2), and two equivalent Mg(4) atoms to form OMg6 octahedra that share corners with two equivalent O(8)Mg6 octahedra, corners with two equivalent O(5)Mg5 trigonal bipyramids, edges with two equivalent O(2)KMg5 octahedra, and edges with two equivalent O(1)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 3°. In the ninth O site, O(9) is bonded in a 5-coordinate geometry to two equivalent Cs(1), one Mg(8), and two equivalent Mg(4) atoms. In the tenth O site, O(10) is bonded in a 5-coordinate geometry to one K(1), one Mg(1), one Mg(9), and two equivalent Mg(3) atoms. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Cs(1), one Mg(10), one Mg(2), and two equivalent Mg(4) atoms. is represented by the CIF file [CIF]
data_CsKMg14O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.209
_cell_length_b   8.536
_cell_length_c   9.990
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   358.905
_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
  Cs  Cs0  1  0.000  0.500  0.605  1.0
  K  K1  1  0.000  0.000  0.042  1.0
  Mg  Mg2  1  0.000  0.500  0.033  1.0
  Mg  Mg3  1  0.000  0.000  0.498  1.0
  Mg  Mg4  1  0.500  0.757  0.003  1.0
  Mg  Mg5  1  0.500  0.243  0.003  1.0
  Mg  Mg6  1  0.500  0.742  0.504  1.0
  Mg  Mg7  1  0.500  0.258  0.504  1.0
  Mg  Mg8  1  0.500  0.000  0.726  1.0
  Mg  Mg9  1  0.500  0.500  0.812  1.0
  Mg  Mg10  1  0.500  0.000  0.290  1.0
  Mg  Mg11  1  0.500  0.500  0.250  1.0
  Mg  Mg12  1  0.000  0.786  0.769  1.0
  Mg  Mg13  1  0.000  0.214  0.769  1.0
  Mg  Mg14  1  0.000  0.745  0.281  1.0
  Mg  Mg15  1  0.000  0.255  0.281  1.0
  O  O16  1  0.000  0.000  0.709  1.0
  O  O17  1  0.000  0.000  0.287  1.0
  O  O18  1  0.000  0.500  0.229  1.0
  O  O19  1  0.500  0.722  0.728  1.0
  O  O20  1  0.500  0.278  0.728  1.0
  O  O21  1  0.500  0.765  0.220  1.0
  O  O22  1  0.500  0.235  0.220  1.0
  O  O23  1  0.500  0.000  0.928  1.0
  O  O24  1  0.500  0.500  0.007  1.0
  O  O25  1  0.500  0.000  0.504  1.0
  O  O26  1  0.500  0.500  0.450  1.0
  O  O27  1  0.000  0.712  0.953  1.0
  O  O28  1  0.000  0.288  0.953  1.0
  O  O29  1  0.000  0.765  0.482  1.0
  O  O30  1  0.000  0.235  0.482  1.0
[/CIF]
.