The structure described by RbMg14BO15 crystallizes in the orthorhombic Pmm2 space group. Rb(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(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, 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 3°. 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 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, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. 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 a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 2-31°. 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, and edges with two equivalent Mg(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 1-3°. In the fifth Mg site, Mg(5) is bonded in a distorted T-shaped 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 a mixture of distorted corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-23°. 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 1-7°. 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 a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. 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(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,  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 4-9°. B(1) is bonded in a distorted trigonal planar geometry to one O(3) and two equivalent O(10) atoms. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to one Mg(2), two equivalent Mg(6), and two equivalent Mg(9) atoms to form OMg5 trigonal bipyramids that share  a cornercorner with one O(3)Mg5B octahedra, corners with two equivalent O(1)Mg5 trigonal bipyramids, 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 octahedra are not tilted. In the second O site, O(2) is bonded to one Rb(1), one Mg(1), two equivalent Mg(10), and two equivalent Mg(7) atoms to form distorted ORbMg5 octahedra that share corners with two equivalent O(3)Mg5B octahedra, corners with two equivalent O(2)RbMg5 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 1-7°. In the third O site, O(3) is bonded to one Mg(2), two equivalent Mg(10), two equivalent Mg(8), and one B(1) atom to form distorted OMg5B octahedra that share corners with two equivalent O(3)Mg5B octahedra, corners with two equivalent O(2)RbMg5 octahedra,  a cornercorner with one O(1)Mg5 trigonal bipyramid, 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 1-5°. 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(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra, edges with two equivalent O(11)Mg6 octahedra, and edges with two equivalent O(1)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 1-16°. 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(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra, edges with two equivalent O(3)Mg5B octahedra, edges with two equivalent O(11)Mg6 octahedra, and edges with two equivalent O(2)RbMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to two equivalent Rb(1), one Mg(7), and two equivalent Mg(3) atoms. In the seventh O site, O(7) is bonded in a square co-planar geometry to one Mg(6), one Mg(8), and two equivalent Mg(3) atoms. 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(8)Mg6 octahedra, corners with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(2)RbMg5 octahedra, and edges with four equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 1-2°. 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(8)Mg6 octahedra, corners with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(3)Mg5B octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(11)Mg6 octahedra, and edges with two equivalent O(1)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 1-5°. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one Rb(1), one Mg(10), one Mg(9), two equivalent Mg(3), and one B(1) atom. 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 four equivalent O(11)Mg6 octahedra,  an edgeedge with one O(3)Mg5B octahedra,  an edgeedge with one O(2)RbMg5 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, edges with two equivalent O(9)Mg6 octahedra, and  an edgeedge with one O(1)Mg5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 1-4°. is represented by the Crystallographic Information File (CIF) [CIF]
data_RbMg14BO15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.524
_cell_length_b   8.269
_cell_length_c   8.923
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   333.801
_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  0.000  0.964  1.0
  Mg  Mg1  1  0.000  0.000  0.496  1.0
  Mg  Mg2  1  0.000  0.500  0.495  1.0
  Mg  Mg3  1  0.500  0.740  0.009  1.0
  Mg  Mg4  1  0.500  0.260  0.009  1.0
  Mg  Mg5  1  0.500  0.746  0.489  1.0
  Mg  Mg6  1  0.500  0.254  0.489  1.0
  Mg  Mg7  1  0.500  0.000  0.724  1.0
  Mg  Mg8  1  0.500  0.500  0.771  1.0
  Mg  Mg9  1  0.500  0.000  0.252  1.0
  Mg  Mg10  1  0.500  0.500  0.247  1.0
  Mg  Mg11  1  0.000  0.735  0.728  1.0
  Mg  Mg12  1  0.000  0.265  0.728  1.0
  Mg  Mg13  1  0.000  0.757  0.255  1.0
  Mg  Mg14  1  0.000  0.243  0.255  1.0
  B  B15  1  0.000  0.500  0.068  1.0
  O  O16  1  0.000  0.500  0.719  1.0
  O  O17  1  0.000  0.000  0.269  1.0
  O  O18  1  0.000  0.500  0.235  1.0
  O  O19  1  0.500  0.750  0.757  1.0
  O  O20  1  0.500  0.250  0.757  1.0
  O  O21  1  0.500  0.747  0.251  1.0
  O  O22  1  0.500  0.253  0.251  1.0
  O  O23  1  0.500  0.000  0.029  1.0
  O  O24  1  0.500  0.500  0.013  1.0
  O  O25  1  0.500  0.000  0.493  1.0
  O  O26  1  0.500  0.500  0.484  1.0
  O  O27  1  0.000  0.666  0.016  1.0
  O  O28  1  0.000  0.334  0.016  1.0
  O  O29  1  0.000  0.744  0.489  1.0
  O  O30  1  0.000  0.256  0.489  1.0
[/CIF]
.
The structure described by RbMg14BO15 crystallizes in the orthorhombic Pmm2 space group. Rb(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(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, 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 3°. 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 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, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. 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 a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 2-31°. 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, and edges with two equivalent Mg(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 1-3°. In the fifth Mg site, Mg(5) is bonded in a distorted T-shaped 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 a mixture of distorted corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-23°. 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 1-7°. 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 a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. 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(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,  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 4-9°. B(1) is bonded in a distorted trigonal planar geometry to one O(3) and two equivalent O(10) atoms. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to one Mg(2), two equivalent Mg(6), and two equivalent Mg(9) atoms to form OMg5 trigonal bipyramids that share  a cornercorner with one O(3)Mg5B octahedra, corners with two equivalent O(1)Mg5 trigonal bipyramids, 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 octahedra are not tilted. In the second O site, O(2) is bonded to one Rb(1), one Mg(1), two equivalent Mg(10), and two equivalent Mg(7) atoms to form distorted ORbMg5 octahedra that share corners with two equivalent O(3)Mg5B octahedra, corners with two equivalent O(2)RbMg5 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 1-7°. In the third O site, O(3) is bonded to one Mg(2), two equivalent Mg(10), two equivalent Mg(8), and one B(1) atom to form distorted OMg5B octahedra that share corners with two equivalent O(3)Mg5B octahedra, corners with two equivalent O(2)RbMg5 octahedra,  a cornercorner with one O(1)Mg5 trigonal bipyramid, 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 1-5°. 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(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra, edges with two equivalent O(11)Mg6 octahedra, and edges with two equivalent O(1)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 1-16°. 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(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra, edges with two equivalent O(3)Mg5B octahedra, edges with two equivalent O(11)Mg6 octahedra, and edges with two equivalent O(2)RbMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the sixth O site, O(6) is bonded in a 5-coordinate geometry to two equivalent Rb(1), one Mg(7), and two equivalent Mg(3) atoms. In the seventh O site, O(7) is bonded in a square co-planar geometry to one Mg(6), one Mg(8), and two equivalent Mg(3) atoms. 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(8)Mg6 octahedra, corners with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(2)RbMg5 octahedra, and edges with four equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 1-2°. 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(8)Mg6 octahedra, corners with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(3)Mg5B octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with four equivalent O(11)Mg6 octahedra, and edges with two equivalent O(1)Mg5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 1-5°. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one Rb(1), one Mg(10), one Mg(9), two equivalent Mg(3), and one B(1) atom. 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 four equivalent O(11)Mg6 octahedra,  an edgeedge with one O(3)Mg5B octahedra,  an edgeedge with one O(2)RbMg5 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, edges with two equivalent O(9)Mg6 octahedra, and  an edgeedge with one O(1)Mg5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 1-4°. is represented by the Crystallographic Information File (CIF) [CIF]
data_RbMg14BO15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.524
_cell_length_b   8.269
_cell_length_c   8.923
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   333.801
_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  0.000  0.964  1.0
  Mg  Mg1  1  0.000  0.000  0.496  1.0
  Mg  Mg2  1  0.000  0.500  0.495  1.0
  Mg  Mg3  1  0.500  0.740  0.009  1.0
  Mg  Mg4  1  0.500  0.260  0.009  1.0
  Mg  Mg5  1  0.500  0.746  0.489  1.0
  Mg  Mg6  1  0.500  0.254  0.489  1.0
  Mg  Mg7  1  0.500  0.000  0.724  1.0
  Mg  Mg8  1  0.500  0.500  0.771  1.0
  Mg  Mg9  1  0.500  0.000  0.252  1.0
  Mg  Mg10  1  0.500  0.500  0.247  1.0
  Mg  Mg11  1  0.000  0.735  0.728  1.0
  Mg  Mg12  1  0.000  0.265  0.728  1.0
  Mg  Mg13  1  0.000  0.757  0.255  1.0
  Mg  Mg14  1  0.000  0.243  0.255  1.0
  B  B15  1  0.000  0.500  0.068  1.0
  O  O16  1  0.000  0.500  0.719  1.0
  O  O17  1  0.000  0.000  0.269  1.0
  O  O18  1  0.000  0.500  0.235  1.0
  O  O19  1  0.500  0.750  0.757  1.0
  O  O20  1  0.500  0.250  0.757  1.0
  O  O21  1  0.500  0.747  0.251  1.0
  O  O22  1  0.500  0.253  0.251  1.0
  O  O23  1  0.500  0.000  0.029  1.0
  O  O24  1  0.500  0.500  0.013  1.0
  O  O25  1  0.500  0.000  0.493  1.0
  O  O26  1  0.500  0.500  0.484  1.0
  O  O27  1  0.000  0.666  0.016  1.0
  O  O28  1  0.000  0.334  0.016  1.0
  O  O29  1  0.000  0.744  0.489  1.0
  O  O30  1  0.000  0.256  0.489  1.0
[/CIF]
.