The material described by CsRbMg14O15 crystallizes in the orthorhombic Pmm2 space group. Cs(1) is bonded in a 5-coordinate geometry to one O(3), two equivalent O(11), and two equivalent O(9) atoms. Rb(1) is bonded in a 4-coordinate geometry to 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(1), one O(3), two equivalent O(10), and two equivalent O(7) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(10)O5 trigonal bipyramids, and edges with two equivalent Mg(8)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 5°. In the second Mg site, Mg(2) is bonded to one O(2), two equivalent O(11), and two equivalent O(8) atoms to form a mixture of corner and edge-sharing MgO5 trigonal bipyramids. 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 four equivalent Mg(3)O6 octahedra,  a cornercorner with one Mg(4)O5 square pyramid,  an edgeedge with one Mg(6)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Mg(7)O5 trigonal bipyramid,  an edgeedge with one Mg(8)O5 trigonal bipyramid, and edges with two equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 12-21°. 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 distorted MgO5 square pyramids that share  a cornercorner with one Mg(3)O6 octahedra, corners with four equivalent Mg(4)O5 square pyramids,  an edgeedge with one Mg(6)O6 octahedra, and edges with two equivalent Mg(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 15°. In the fifth Mg site, Mg(5) is bonded in a trigonal planar geometry to 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,  a cornercorner with one Mg(8)O5 trigonal bipyramid, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, and edges with two equivalent Mg(4)O5 square pyramids. The corner-sharing octahedral tilt angles are 5°. In the seventh Mg site, Mg(7) is bonded to one O(6), two equivalent O(2), and two equivalent O(5) atoms to form MgO5 trigonal bipyramids that share corners with two equivalent Mg(2)O5 trigonal bipyramids, corners with two equivalent Mg(7)O5 trigonal bipyramids, corners with two equivalent Mg(8)O5 trigonal bipyramids, edges with two equivalent Mg(3)O6 octahedra, and edges with four equivalent Mg(10)O5 trigonal bipyramids. In the eighth Mg site, Mg(8) is bonded to one O(7), two equivalent O(3), and two equivalent O(5) atoms to form MgO5 trigonal bipyramids that share  a cornercorner with one Mg(6)O6 octahedra, corners with two equivalent Mg(7)O5 trigonal bipyramids, corners with two equivalent Mg(8)O5 trigonal bipyramids, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, and edges with four equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedra are not tilted. In the ninth Mg site, Mg(9) is bonded in a 5-coordinate geometry to one O(1), one O(10), one O(11), and two equivalent O(4) atoms. In the tenth Mg site, Mg(10) is bonded to one O(10), one O(2), one O(3), and two equivalent O(5) atoms to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one Mg(2)O5 trigonal bipyramid, corners with four equivalent Mg(10)O5 trigonal bipyramids,  an edgeedge with one Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(7)O5 trigonal bipyramids, and edges with two equivalent Mg(8)O5 trigonal bipyramids. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(6), and two equivalent Mg(9) atoms to form OMg5 square pyramids that share  a cornercorner with one O(3)CsMg5 octahedra, corners with two equivalent O(1)Mg5 square pyramids, corners with two equivalent O(9)Cs2Mg3 trigonal bipyramids, edges with two equivalent O(7)Mg6 octahedra, and edges with two equivalent O(10)RbMg5 octahedra. The corner-sharing octahedra are not tilted. In the second O site, O(2) is bonded to one Mg(2), two equivalent Mg(10), and two equivalent Mg(7) atoms to form distorted OMg5 trigonal bipyramids that share corners with two equivalent O(3)CsMg5 octahedra, corners with two equivalent O(10)RbMg5 octahedra, corners with two equivalent O(2)Mg5 trigonal bipyramids, corners with two equivalent O(6)Rb2Mg3 trigonal bipyramids, and edges with four equivalent O(5)Mg5 square pyramids. The corner-sharing octahedral tilt angles range from 23-61°. In the third O site, O(3) is bonded to one Cs(1), one Mg(1), two equivalent Mg(10), and two equivalent Mg(8) atoms to form OCsMg5 octahedra that share corners with two equivalent O(3)CsMg5 octahedra,  a cornercorner with one O(1)Mg5 square pyramid, corners with two equivalent O(9)Cs2Mg3 trigonal bipyramids, corners with two equivalent O(2)Mg5 trigonal bipyramids, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(10)RbMg5 octahedra, and edges with four equivalent O(5)Mg5 square pyramids. The corner-sharing octahedral tilt angles are 4°. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to one Mg(3), 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 OMg5 square pyramids that share corners with four equivalent O(5)Mg5 square pyramids,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(3)CsMg5 octahedra, edges with two equivalent O(10)RbMg5 octahedra,  an edgeedge with one O(6)Rb2Mg3 trigonal bipyramid, and edges with two equivalent O(2)Mg5 trigonal bipyramids. In the sixth O site, O(6) is bonded to two equivalent Rb(1), one Mg(7), and two equivalent Mg(3) atoms to form distorted ORb2Mg3 trigonal bipyramids that share corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(2)Mg5 trigonal bipyramids, corners with two equivalent O(6)Rb2Mg3 trigonal bipyramids, edges with four equivalent O(10)RbMg5 octahedra, and edges with two equivalent O(5)Mg5 square pyramids. The corner-sharing octahedral tilt angles are 4°. 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,  a cornercorner with one O(9)Cs2Mg3 trigonal bipyramid, corners with two equivalent O(6)Rb2Mg3 trigonal bipyramids, edges with two equivalent O(3)CsMg5 octahedra, edges with four equivalent O(10)RbMg5 octahedra, edges with two equivalent O(1)Mg5 square pyramids, and edges with two equivalent O(5)Mg5 square pyramids. The corner-sharing octahedral tilt angles are 5°. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to one Mg(5), two equivalent Mg(2), and two equivalent Mg(4) atoms. In the ninth O site, O(9) is bonded to two equivalent Cs(1), one Mg(6), and two equivalent Mg(4) atoms to form distorted OCs2Mg3 trigonal bipyramids that share  a cornercorner with one O(7)Mg6 octahedra, corners with two equivalent O(3)CsMg5 octahedra, corners with two equivalent O(1)Mg5 square pyramids, and corners with two equivalent O(9)Cs2Mg3 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 0-51°. In the tenth O site, O(10) is bonded to one Rb(1), one Mg(1), one Mg(10), one Mg(9), and two equivalent Mg(3) atoms to form distorted ORbMg5 octahedra that share corners with four equivalent O(10)RbMg5 octahedra,  a cornercorner with one O(2)Mg5 trigonal bipyramid,  an edgeedge with one O(3)CsMg5 octahedra, edges with two equivalent O(7)Mg6 octahedra,  an edgeedge with one O(1)Mg5 square pyramid, edges with two equivalent O(5)Mg5 square pyramids, and edges with two equivalent O(6)Rb2Mg3 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 2-48°. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Cs(1), one Mg(2), one Mg(9), and two equivalent Mg(4) atoms. is represented by the CIF file [CIF]
data_CsRbMg14O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.157
_cell_length_b   8.591
_cell_length_c   10.695
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   381.914
_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  0.436  1.0
  Rb  Rb1  1  0.000  0.000  0.899  1.0
  Mg  Mg2  1  0.000  0.500  0.990  1.0
  Mg  Mg3  1  0.000  0.000  0.474  1.0
  Mg  Mg4  1  0.500  0.765  0.005  1.0
  Mg  Mg5  1  0.500  0.235  0.005  1.0
  Mg  Mg6  1  0.500  0.739  0.572  1.0
  Mg  Mg7  1  0.500  0.261  0.572  1.0
  Mg  Mg8  1  0.500  0.000  0.694  1.0
  Mg  Mg9  1  0.500  0.500  0.786  1.0
  Mg  Mg10  1  0.500  0.000  0.229  1.0
  Mg  Mg11  1  0.500  0.500  0.177  1.0
  Mg  Mg12  1  0.000  0.722  0.764  1.0
  Mg  Mg13  1  0.000  0.278  0.764  1.0
  Mg  Mg14  1  0.000  0.757  0.189  1.0
  Mg  Mg15  1  0.000  0.243  0.189  1.0
  O  O16  1  0.000  0.500  0.795  1.0
  O  O17  1  0.000  0.000  0.278  1.0
  O  O18  1  0.000  0.500  0.184  1.0
  O  O19  1  0.500  0.786  0.772  1.0
  O  O20  1  0.500  0.214  0.772  1.0
  O  O21  1  0.500  0.741  0.211  1.0
  O  O22  1  0.500  0.259  0.211  1.0
  O  O23  1  0.500  0.000  0.039  1.0
  O  O24  1  0.500  0.500  0.982  1.0
  O  O25  1  0.500  0.000  0.511  1.0
  O  O26  1  0.500  0.500  0.596  1.0
  O  O27  1  0.000  0.737  0.993  1.0
  O  O28  1  0.000  0.263  0.993  1.0
  O  O29  1  0.000  0.795  0.585  1.0
  O  O30  1  0.000  0.205  0.585  1.0
[/CIF]
.
The material described by CsRbMg14O15 crystallizes in the orthorhombic Pmm2 space group. Cs(1) is bonded in a 5-coordinate geometry to one O(3), two equivalent O(11), and two equivalent O(9) atoms. Rb(1) is bonded in a 4-coordinate geometry to 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(1), one O(3), two equivalent O(10), and two equivalent O(7) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(10)O5 trigonal bipyramids, and edges with two equivalent Mg(8)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 5°. In the second Mg site, Mg(2) is bonded to one O(2), two equivalent O(11), and two equivalent O(8) atoms to form a mixture of corner and edge-sharing MgO5 trigonal bipyramids. 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 four equivalent Mg(3)O6 octahedra,  a cornercorner with one Mg(4)O5 square pyramid,  an edgeedge with one Mg(6)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Mg(7)O5 trigonal bipyramid,  an edgeedge with one Mg(8)O5 trigonal bipyramid, and edges with two equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 12-21°. 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 distorted MgO5 square pyramids that share  a cornercorner with one Mg(3)O6 octahedra, corners with four equivalent Mg(4)O5 square pyramids,  an edgeedge with one Mg(6)O6 octahedra, and edges with two equivalent Mg(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 15°. In the fifth Mg site, Mg(5) is bonded in a trigonal planar geometry to 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,  a cornercorner with one Mg(8)O5 trigonal bipyramid, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, and edges with two equivalent Mg(4)O5 square pyramids. The corner-sharing octahedral tilt angles are 5°. In the seventh Mg site, Mg(7) is bonded to one O(6), two equivalent O(2), and two equivalent O(5) atoms to form MgO5 trigonal bipyramids that share corners with two equivalent Mg(2)O5 trigonal bipyramids, corners with two equivalent Mg(7)O5 trigonal bipyramids, corners with two equivalent Mg(8)O5 trigonal bipyramids, edges with two equivalent Mg(3)O6 octahedra, and edges with four equivalent Mg(10)O5 trigonal bipyramids. In the eighth Mg site, Mg(8) is bonded to one O(7), two equivalent O(3), and two equivalent O(5) atoms to form MgO5 trigonal bipyramids that share  a cornercorner with one Mg(6)O6 octahedra, corners with two equivalent Mg(7)O5 trigonal bipyramids, corners with two equivalent Mg(8)O5 trigonal bipyramids, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, and edges with four equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedra are not tilted. In the ninth Mg site, Mg(9) is bonded in a 5-coordinate geometry to one O(1), one O(10), one O(11), and two equivalent O(4) atoms. In the tenth Mg site, Mg(10) is bonded to one O(10), one O(2), one O(3), and two equivalent O(5) atoms to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one Mg(2)O5 trigonal bipyramid, corners with four equivalent Mg(10)O5 trigonal bipyramids,  an edgeedge with one Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(7)O5 trigonal bipyramids, and edges with two equivalent Mg(8)O5 trigonal bipyramids. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), two equivalent Mg(6), and two equivalent Mg(9) atoms to form OMg5 square pyramids that share  a cornercorner with one O(3)CsMg5 octahedra, corners with two equivalent O(1)Mg5 square pyramids, corners with two equivalent O(9)Cs2Mg3 trigonal bipyramids, edges with two equivalent O(7)Mg6 octahedra, and edges with two equivalent O(10)RbMg5 octahedra. The corner-sharing octahedra are not tilted. In the second O site, O(2) is bonded to one Mg(2), two equivalent Mg(10), and two equivalent Mg(7) atoms to form distorted OMg5 trigonal bipyramids that share corners with two equivalent O(3)CsMg5 octahedra, corners with two equivalent O(10)RbMg5 octahedra, corners with two equivalent O(2)Mg5 trigonal bipyramids, corners with two equivalent O(6)Rb2Mg3 trigonal bipyramids, and edges with four equivalent O(5)Mg5 square pyramids. The corner-sharing octahedral tilt angles range from 23-61°. In the third O site, O(3) is bonded to one Cs(1), one Mg(1), two equivalent Mg(10), and two equivalent Mg(8) atoms to form OCsMg5 octahedra that share corners with two equivalent O(3)CsMg5 octahedra,  a cornercorner with one O(1)Mg5 square pyramid, corners with two equivalent O(9)Cs2Mg3 trigonal bipyramids, corners with two equivalent O(2)Mg5 trigonal bipyramids, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(10)RbMg5 octahedra, and edges with four equivalent O(5)Mg5 square pyramids. The corner-sharing octahedral tilt angles are 4°. In the fourth O site, O(4) is bonded in a 6-coordinate geometry to one Mg(3), 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 OMg5 square pyramids that share corners with four equivalent O(5)Mg5 square pyramids,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(3)CsMg5 octahedra, edges with two equivalent O(10)RbMg5 octahedra,  an edgeedge with one O(6)Rb2Mg3 trigonal bipyramid, and edges with two equivalent O(2)Mg5 trigonal bipyramids. In the sixth O site, O(6) is bonded to two equivalent Rb(1), one Mg(7), and two equivalent Mg(3) atoms to form distorted ORb2Mg3 trigonal bipyramids that share corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(2)Mg5 trigonal bipyramids, corners with two equivalent O(6)Rb2Mg3 trigonal bipyramids, edges with four equivalent O(10)RbMg5 octahedra, and edges with two equivalent O(5)Mg5 square pyramids. The corner-sharing octahedral tilt angles are 4°. 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,  a cornercorner with one O(9)Cs2Mg3 trigonal bipyramid, corners with two equivalent O(6)Rb2Mg3 trigonal bipyramids, edges with two equivalent O(3)CsMg5 octahedra, edges with four equivalent O(10)RbMg5 octahedra, edges with two equivalent O(1)Mg5 square pyramids, and edges with two equivalent O(5)Mg5 square pyramids. The corner-sharing octahedral tilt angles are 5°. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to one Mg(5), two equivalent Mg(2), and two equivalent Mg(4) atoms. In the ninth O site, O(9) is bonded to two equivalent Cs(1), one Mg(6), and two equivalent Mg(4) atoms to form distorted OCs2Mg3 trigonal bipyramids that share  a cornercorner with one O(7)Mg6 octahedra, corners with two equivalent O(3)CsMg5 octahedra, corners with two equivalent O(1)Mg5 square pyramids, and corners with two equivalent O(9)Cs2Mg3 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 0-51°. In the tenth O site, O(10) is bonded to one Rb(1), one Mg(1), one Mg(10), one Mg(9), and two equivalent Mg(3) atoms to form distorted ORbMg5 octahedra that share corners with four equivalent O(10)RbMg5 octahedra,  a cornercorner with one O(2)Mg5 trigonal bipyramid,  an edgeedge with one O(3)CsMg5 octahedra, edges with two equivalent O(7)Mg6 octahedra,  an edgeedge with one O(1)Mg5 square pyramid, edges with two equivalent O(5)Mg5 square pyramids, and edges with two equivalent O(6)Rb2Mg3 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 2-48°. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Cs(1), one Mg(2), one Mg(9), and two equivalent Mg(4) atoms. is represented by the CIF file [CIF]
data_CsRbMg14O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.157
_cell_length_b   8.591
_cell_length_c   10.695
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   381.914
_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  0.436  1.0
  Rb  Rb1  1  0.000  0.000  0.899  1.0
  Mg  Mg2  1  0.000  0.500  0.990  1.0
  Mg  Mg3  1  0.000  0.000  0.474  1.0
  Mg  Mg4  1  0.500  0.765  0.005  1.0
  Mg  Mg5  1  0.500  0.235  0.005  1.0
  Mg  Mg6  1  0.500  0.739  0.572  1.0
  Mg  Mg7  1  0.500  0.261  0.572  1.0
  Mg  Mg8  1  0.500  0.000  0.694  1.0
  Mg  Mg9  1  0.500  0.500  0.786  1.0
  Mg  Mg10  1  0.500  0.000  0.229  1.0
  Mg  Mg11  1  0.500  0.500  0.177  1.0
  Mg  Mg12  1  0.000  0.722  0.764  1.0
  Mg  Mg13  1  0.000  0.278  0.764  1.0
  Mg  Mg14  1  0.000  0.757  0.189  1.0
  Mg  Mg15  1  0.000  0.243  0.189  1.0
  O  O16  1  0.000  0.500  0.795  1.0
  O  O17  1  0.000  0.000  0.278  1.0
  O  O18  1  0.000  0.500  0.184  1.0
  O  O19  1  0.500  0.786  0.772  1.0
  O  O20  1  0.500  0.214  0.772  1.0
  O  O21  1  0.500  0.741  0.211  1.0
  O  O22  1  0.500  0.259  0.211  1.0
  O  O23  1  0.500  0.000  0.039  1.0
  O  O24  1  0.500  0.500  0.982  1.0
  O  O25  1  0.500  0.000  0.511  1.0
  O  O26  1  0.500  0.500  0.596  1.0
  O  O27  1  0.000  0.737  0.993  1.0
  O  O28  1  0.000  0.263  0.993  1.0
  O  O29  1  0.000  0.795  0.585  1.0
  O  O30  1  0.000  0.205  0.585  1.0
[/CIF]
.