The compound described by RbNaMg14O15 crystallizes in the orthorhombic Pmm2 space group. Rb(1) is bonded in a 5-coordinate geometry to one O(3), two equivalent O(11), and two equivalent O(9) atoms. Na(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(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(8)O5 square pyramids, edges with two equivalent Mg(9)O5 square pyramids, and edges with two equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. 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,  a cornercorner with one Mg(7)O5 trigonal bipyramid,  an edgeedge with one Mg(6)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Mg(8)O5 square pyramid, edges with two equivalent Mg(9)O5 square pyramids, and edges with two equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 3-11°. 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,  a cornercorner with one Mg(7)O5 trigonal bipyramid,  an edgeedge with one Mg(6)O6 octahedra, edges with two equivalent Mg(9)O5 square pyramids, and edges with two equivalent Mg(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 4°. In the fifth Mg site, Mg(5) is bonded in a T-shaped geometry to one O(6) 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 square pyramid, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O5 square pyramids, and edges with four equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles are 11°. 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 corners with two equivalent Mg(3)O6 octahedra, corners with two equivalent Mg(4)O5 square pyramids, corners with two equivalent Mg(8)O5 square pyramids, corners with two equivalent Mg(7)O5 trigonal bipyramids, edges with two equivalent Mg(2)O5 trigonal bipyramids, and edges with four equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 71°. 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 square pyramids that share  a cornercorner with one Mg(6)O6 octahedra, corners with two equivalent Mg(8)O5 square pyramids, corners with two equivalent Mg(7)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 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 three equivalent Mg(9)O5 square pyramids,  a cornercorner with one Mg(10)O5 trigonal bipyramid,  a cornercorner with one Mg(2)O5 trigonal bipyramid,  an edgeedge with one Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, and edges with two equivalent Mg(4)O5 square pyramids. 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(9)O5 square pyramid,  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(8)O5 square pyramids, 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(1), two equivalent Mg(6), and two equivalent Mg(9) atoms to form OMg5 square pyramids that share  a cornercorner with one O(3)RbMg5 octahedra, corners with two equivalent O(1)Mg5 square pyramids, corners with two equivalent O(9)Rb2Mg3 trigonal bipyramids, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(10)NaMg5 octahedra, and edges with four equivalent O(4)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the second O site, O(2) is bonded to one Na(1), one Mg(2), two equivalent Mg(10), and two equivalent Mg(7) atoms to form distorted ONaMg5 octahedra that share corners with two equivalent O(2)NaMg5 octahedra, corners with two equivalent O(3)RbMg5 octahedra, corners with two equivalent O(6)Na2Mg3 trigonal bipyramids, edges with two equivalent O(10)NaMg5 octahedra, edges with four equivalent O(5)Mg5 square pyramids, and edges with two equivalent O(8)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 7-20°. In the third O site, O(3) is bonded to one Rb(1), one Mg(1), two equivalent Mg(10), and two equivalent Mg(8) atoms to form ORbMg5 octahedra that share corners with two equivalent O(2)NaMg5 octahedra, corners with two equivalent O(3)RbMg5 octahedra,  a cornercorner with one O(1)Mg5 square pyramid, corners with two equivalent O(9)Rb2Mg3 trigonal bipyramids, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(10)NaMg5 octahedra, and edges with four equivalent O(5)Mg5 square pyramids. The corner-sharing octahedral tilt angles range from 6-20°. 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 four equivalent O(4)Mg6 octahedra,  a cornercorner with one O(5)Mg5 square pyramid,  a cornercorner with one O(8)Mg5 trigonal bipyramid,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(10)NaMg5 octahedra, edges with two equivalent O(1)Mg5 square pyramids,  an edgeedge with one O(6)Na2Mg3 trigonal bipyramid, and  an edgeedge with one O(9)Rb2Mg3 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 1-17°. 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  a cornercorner with one O(4)Mg6 octahedra, corners with four equivalent O(5)Mg5 square pyramids,  a cornercorner with one O(8)Mg5 trigonal bipyramid,  a cornercorner with one O(6)Na2Mg3 trigonal bipyramid,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(10)NaMg5 octahedra, edges with two equivalent O(2)NaMg5 octahedra, and edges with two equivalent O(3)RbMg5 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(6) is bonded to two equivalent Na(1), one Mg(5), and two equivalent Mg(3) atoms to form ONa2Mg3 trigonal bipyramids that share corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(2)NaMg5 octahedra, corners with two equivalent O(5)Mg5 square pyramids, corners with two equivalent O(6)Na2Mg3 trigonal bipyramids, edges with two equivalent O(4)Mg6 octahedra, and edges with four equivalent O(10)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 7-75°. 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)Rb2Mg3 trigonal bipyramid, corners with two equivalent O(6)Na2Mg3 trigonal bipyramids, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(3)RbMg5 octahedra, edges with four equivalent O(10)NaMg5 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 1°. In the eighth O site, O(8) is bonded to one Mg(7), two equivalent Mg(2), and two equivalent Mg(4) atoms to form OMg5 trigonal bipyramids that share corners with two equivalent O(4)Mg6 octahedra, corners with two equivalent O(5)Mg5 square pyramids, corners with two equivalent O(8)Mg5 trigonal bipyramids, corners with two equivalent O(9)Rb2Mg3 trigonal bipyramids, and edges with two equivalent O(2)NaMg5 octahedra. The corner-sharing octahedral tilt angles are 67°. In the ninth O site, O(9) is bonded to two equivalent Rb(1), one Mg(6), and two equivalent Mg(4) atoms to form ORb2Mg3 trigonal bipyramids that share  a cornercorner with one O(7)Mg6 octahedra, corners with two equivalent O(3)RbMg5 octahedra, corners with two equivalent O(1)Mg5 square pyramids, corners with two equivalent O(8)Mg5 trigonal bipyramids, corners with two equivalent O(9)Rb2Mg3 trigonal bipyramids, and edges with two equivalent O(4)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-57°. In the tenth O site, O(10) is bonded to one Na(1), one Mg(1), one Mg(10), one Mg(9), and two equivalent Mg(3) atoms to form ONaMg5 octahedra that share corners with four equivalent O(10)NaMg5 octahedra,  an edgeedge with one O(2)NaMg5 octahedra,  an edgeedge with one O(3)RbMg5 octahedra, edges with two equivalent O(4)Mg6 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)Na2Mg3 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 0-21°. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Rb(1), one Mg(2), one Mg(9), and two equivalent Mg(4) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_RbNaMg14O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.213
_cell_length_b   8.377
_cell_length_c   10.411
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   367.362
_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
  Rb  Rb0  1  0.000  0.500  0.446  1.0
  Na  Na1  1  0.000  0.000  0.020  1.0
  Mg  Mg2  1  0.000  0.500  0.982  1.0
  Mg  Mg3  1  0.000  0.000  0.481  1.0
  Mg  Mg4  1  0.500  0.760  0.985  1.0
  Mg  Mg5  1  0.500  0.240  0.985  1.0
  Mg  Mg6  1  0.500  0.755  0.570  1.0
  Mg  Mg7  1  0.500  0.245  0.570  1.0
  Mg  Mg8  1  0.500  0.000  0.783  1.0
  Mg  Mg9  1  0.500  0.500  0.769  1.0
  Mg  Mg10  1  0.500  0.000  0.273  1.0
  Mg  Mg11  1  0.500  0.500  0.175  1.0
  Mg  Mg12  1  0.000  0.729  0.769  1.0
  Mg  Mg13  1  0.000  0.271  0.769  1.0
  Mg  Mg14  1  0.000  0.751  0.186  1.0
  Mg  Mg15  1  0.000  0.249  0.186  1.0
  O  O16  1  0.000  0.500  0.787  1.0
  O  O17  1  0.000  0.000  0.260  1.0
  O  O18  1  0.000  0.500  0.187  1.0
  O  O19  1  0.500  0.766  0.770  1.0
  O  O20  1  0.500  0.234  0.770  1.0
  O  O21  1  0.500  0.751  0.199  1.0
  O  O22  1  0.500  0.249  0.199  1.0
  O  O23  1  0.500  0.000  0.966  1.0
  O  O24  1  0.500  0.500  0.979  1.0
  O  O25  1  0.500  0.000  0.474  1.0
  O  O26  1  0.500  0.500  0.577  1.0
  O  O27  1  0.000  0.744  0.982  1.0
  O  O28  1  0.000  0.256  0.982  1.0
  O  O29  1  0.000  0.798  0.584  1.0
  O  O30  1  0.000  0.202  0.584  1.0
[/CIF]
.
The compound described by RbNaMg14O15 crystallizes in the orthorhombic Pmm2 space group. Rb(1) is bonded in a 5-coordinate geometry to one O(3), two equivalent O(11), and two equivalent O(9) atoms. Na(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(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(8)O5 square pyramids, edges with two equivalent Mg(9)O5 square pyramids, and edges with two equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 1°. 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,  a cornercorner with one Mg(7)O5 trigonal bipyramid,  an edgeedge with one Mg(6)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra,  an edgeedge with one Mg(8)O5 square pyramid, edges with two equivalent Mg(9)O5 square pyramids, and edges with two equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 3-11°. 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,  a cornercorner with one Mg(7)O5 trigonal bipyramid,  an edgeedge with one Mg(6)O6 octahedra, edges with two equivalent Mg(9)O5 square pyramids, and edges with two equivalent Mg(2)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 4°. In the fifth Mg site, Mg(5) is bonded in a T-shaped geometry to one O(6) 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 square pyramid, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O5 square pyramids, and edges with four equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles are 11°. 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 corners with two equivalent Mg(3)O6 octahedra, corners with two equivalent Mg(4)O5 square pyramids, corners with two equivalent Mg(8)O5 square pyramids, corners with two equivalent Mg(7)O5 trigonal bipyramids, edges with two equivalent Mg(2)O5 trigonal bipyramids, and edges with four equivalent Mg(10)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 71°. 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 square pyramids that share  a cornercorner with one Mg(6)O6 octahedra, corners with two equivalent Mg(8)O5 square pyramids, corners with two equivalent Mg(7)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 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 three equivalent Mg(9)O5 square pyramids,  a cornercorner with one Mg(10)O5 trigonal bipyramid,  a cornercorner with one Mg(2)O5 trigonal bipyramid,  an edgeedge with one Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, and edges with two equivalent Mg(4)O5 square pyramids. 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(9)O5 square pyramid,  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(8)O5 square pyramids, 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(1), two equivalent Mg(6), and two equivalent Mg(9) atoms to form OMg5 square pyramids that share  a cornercorner with one O(3)RbMg5 octahedra, corners with two equivalent O(1)Mg5 square pyramids, corners with two equivalent O(9)Rb2Mg3 trigonal bipyramids, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(10)NaMg5 octahedra, and edges with four equivalent O(4)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the second O site, O(2) is bonded to one Na(1), one Mg(2), two equivalent Mg(10), and two equivalent Mg(7) atoms to form distorted ONaMg5 octahedra that share corners with two equivalent O(2)NaMg5 octahedra, corners with two equivalent O(3)RbMg5 octahedra, corners with two equivalent O(6)Na2Mg3 trigonal bipyramids, edges with two equivalent O(10)NaMg5 octahedra, edges with four equivalent O(5)Mg5 square pyramids, and edges with two equivalent O(8)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 7-20°. In the third O site, O(3) is bonded to one Rb(1), one Mg(1), two equivalent Mg(10), and two equivalent Mg(8) atoms to form ORbMg5 octahedra that share corners with two equivalent O(2)NaMg5 octahedra, corners with two equivalent O(3)RbMg5 octahedra,  a cornercorner with one O(1)Mg5 square pyramid, corners with two equivalent O(9)Rb2Mg3 trigonal bipyramids, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(10)NaMg5 octahedra, and edges with four equivalent O(5)Mg5 square pyramids. The corner-sharing octahedral tilt angles range from 6-20°. 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 four equivalent O(4)Mg6 octahedra,  a cornercorner with one O(5)Mg5 square pyramid,  a cornercorner with one O(8)Mg5 trigonal bipyramid,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(10)NaMg5 octahedra, edges with two equivalent O(1)Mg5 square pyramids,  an edgeedge with one O(6)Na2Mg3 trigonal bipyramid, and  an edgeedge with one O(9)Rb2Mg3 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 1-17°. 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  a cornercorner with one O(4)Mg6 octahedra, corners with four equivalent O(5)Mg5 square pyramids,  a cornercorner with one O(8)Mg5 trigonal bipyramid,  a cornercorner with one O(6)Na2Mg3 trigonal bipyramid,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(10)NaMg5 octahedra, edges with two equivalent O(2)NaMg5 octahedra, and edges with two equivalent O(3)RbMg5 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(6) is bonded to two equivalent Na(1), one Mg(5), and two equivalent Mg(3) atoms to form ONa2Mg3 trigonal bipyramids that share corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(2)NaMg5 octahedra, corners with two equivalent O(5)Mg5 square pyramids, corners with two equivalent O(6)Na2Mg3 trigonal bipyramids, edges with two equivalent O(4)Mg6 octahedra, and edges with four equivalent O(10)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 7-75°. 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)Rb2Mg3 trigonal bipyramid, corners with two equivalent O(6)Na2Mg3 trigonal bipyramids, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(3)RbMg5 octahedra, edges with four equivalent O(10)NaMg5 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 1°. In the eighth O site, O(8) is bonded to one Mg(7), two equivalent Mg(2), and two equivalent Mg(4) atoms to form OMg5 trigonal bipyramids that share corners with two equivalent O(4)Mg6 octahedra, corners with two equivalent O(5)Mg5 square pyramids, corners with two equivalent O(8)Mg5 trigonal bipyramids, corners with two equivalent O(9)Rb2Mg3 trigonal bipyramids, and edges with two equivalent O(2)NaMg5 octahedra. The corner-sharing octahedral tilt angles are 67°. In the ninth O site, O(9) is bonded to two equivalent Rb(1), one Mg(6), and two equivalent Mg(4) atoms to form ORb2Mg3 trigonal bipyramids that share  a cornercorner with one O(7)Mg6 octahedra, corners with two equivalent O(3)RbMg5 octahedra, corners with two equivalent O(1)Mg5 square pyramids, corners with two equivalent O(8)Mg5 trigonal bipyramids, corners with two equivalent O(9)Rb2Mg3 trigonal bipyramids, and edges with two equivalent O(4)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-57°. In the tenth O site, O(10) is bonded to one Na(1), one Mg(1), one Mg(10), one Mg(9), and two equivalent Mg(3) atoms to form ONaMg5 octahedra that share corners with four equivalent O(10)NaMg5 octahedra,  an edgeedge with one O(2)NaMg5 octahedra,  an edgeedge with one O(3)RbMg5 octahedra, edges with two equivalent O(4)Mg6 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)Na2Mg3 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 0-21°. In the eleventh O site, O(11) is bonded in a 5-coordinate geometry to one Rb(1), one Mg(2), one Mg(9), and two equivalent Mg(4) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_RbNaMg14O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.213
_cell_length_b   8.377
_cell_length_c   10.411
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   367.362
_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
  Rb  Rb0  1  0.000  0.500  0.446  1.0
  Na  Na1  1  0.000  0.000  0.020  1.0
  Mg  Mg2  1  0.000  0.500  0.982  1.0
  Mg  Mg3  1  0.000  0.000  0.481  1.0
  Mg  Mg4  1  0.500  0.760  0.985  1.0
  Mg  Mg5  1  0.500  0.240  0.985  1.0
  Mg  Mg6  1  0.500  0.755  0.570  1.0
  Mg  Mg7  1  0.500  0.245  0.570  1.0
  Mg  Mg8  1  0.500  0.000  0.783  1.0
  Mg  Mg9  1  0.500  0.500  0.769  1.0
  Mg  Mg10  1  0.500  0.000  0.273  1.0
  Mg  Mg11  1  0.500  0.500  0.175  1.0
  Mg  Mg12  1  0.000  0.729  0.769  1.0
  Mg  Mg13  1  0.000  0.271  0.769  1.0
  Mg  Mg14  1  0.000  0.751  0.186  1.0
  Mg  Mg15  1  0.000  0.249  0.186  1.0
  O  O16  1  0.000  0.500  0.787  1.0
  O  O17  1  0.000  0.000  0.260  1.0
  O  O18  1  0.000  0.500  0.187  1.0
  O  O19  1  0.500  0.766  0.770  1.0
  O  O20  1  0.500  0.234  0.770  1.0
  O  O21  1  0.500  0.751  0.199  1.0
  O  O22  1  0.500  0.249  0.199  1.0
  O  O23  1  0.500  0.000  0.966  1.0
  O  O24  1  0.500  0.500  0.979  1.0
  O  O25  1  0.500  0.000  0.474  1.0
  O  O26  1  0.500  0.500  0.577  1.0
  O  O27  1  0.000  0.744  0.982  1.0
  O  O28  1  0.000  0.256  0.982  1.0
  O  O29  1  0.000  0.798  0.584  1.0
  O  O30  1  0.000  0.202  0.584  1.0
[/CIF]
.