The material structure described by KMg14BO16 crystallizes in the orthorhombic Pmmm space group. K(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(8) atoms to form distorted KO6 octahedra that share corners with two equivalent K(1)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, edges with four equivalent Mg(5)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedra are not tilted. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1), two equivalent O(6), and two equivalent O(9) atoms to form MgO6 octahedra that share corners with two equivalent K(1)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, edges with four equivalent Mg(5)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Mg site, Mg(2) is bonded to two equivalent O(2), two equivalent O(7), and two equivalent O(9) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra are not tilted. In the third Mg site, Mg(3) is bonded to one O(4), one O(5), two equivalent O(3), and two equivalent O(8) atoms to form MgO6 octahedra that share corners with two equivalent Mg(4)O6 octahedra, corners with four equivalent Mg(3)O6 octahedra, edges with two equivalent K(1)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-31°. In the fourth Mg site, Mg(4) is bonded to one O(6), one O(7), two equivalent O(3), and two equivalent O(9) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fifth Mg site, Mg(5) is bonded to one O(4), one O(6), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(6)O6 octahedra, corners with four equivalent Mg(5)O6 octahedra, edges with two equivalent K(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the sixth Mg site, Mg(6) is bonded to one O(5), one O(7), two equivalent O(2), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the seventh Mg site, Mg(7) is bonded to one O(1), one O(2), one O(8), one O(9), and two equivalent O(3) atoms to form distorted MgO6 octahedra that share corners with six equivalent Mg(7)O6 octahedra,  an edgeedge with one K(1)O6 octahedra,  an edgeedge with one Mg(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(5)O6 octahedra, and edges with two equivalent Mg(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-31°. B(1) is bonded in a linear geometry to two equivalent O(8) atoms. There are nine inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one Mg(1), two equivalent Mg(5), and two equivalent Mg(7) atoms to form OKMg5 octahedra that share corners with four equivalent O(1)KMg5 octahedra, corners with two equivalent O(2)Mg5 square pyramids, edges with two equivalent O(4)K2Mg4 octahedra, edges with two equivalent O(6)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the second O site, O(2) is bonded to one Mg(2), two equivalent Mg(6), and two equivalent Mg(7) atoms to form OMg5 square pyramids that share corners with two equivalent O(1)KMg5 octahedra, corners with three equivalent O(2)Mg5 square pyramids, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles are 2°. In the third O site, O(3) is bonded to one Mg(3), one Mg(4), one Mg(5), one Mg(6), and two equivalent Mg(7) atoms to form OMg6 octahedra that share corners with six equivalent O(3)Mg6 octahedra,  an edgeedge with one O(4)K2Mg4 octahedra,  an edgeedge with one O(6)Mg6 octahedra,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(1)KMg5 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with two equivalent O(2)Mg5 square pyramids. The corner-sharing octahedral tilt angles range from 0-9°. In the fourth O site, O(4) is bonded to two equivalent K(1), two equivalent Mg(3), and two equivalent Mg(5) atoms to form OK2Mg4 octahedra that share corners with two equivalent O(4)K2Mg4 octahedra, corners with two equivalent O(6)Mg6 octahedra, edges with four equivalent O(1)KMg5 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the fifth O site, O(5) is bonded in a distorted square co-planar geometry to two equivalent Mg(3) and two equivalent Mg(6) atoms. In the sixth O site, O(6) is bonded to two equivalent Mg(1), two equivalent Mg(4), and two equivalent Mg(5) atoms to form OMg6 octahedra that share corners with two equivalent O(4)K2Mg4 octahedra, corners with two equivalent O(6)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(1)KMg5 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with four equivalent O(9)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the seventh O site, O(7) is bonded to two equivalent Mg(2), two equivalent Mg(4), and two equivalent Mg(6) atoms to form OMg6 octahedra that share corners with two equivalent O(6)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, edges with four equivalent O(9)Mg6 octahedra, and edges with four equivalent O(2)Mg5 square pyramids. The corner-sharing octahedra are not tilted. In the eighth O site, O(8) is bonded in a distorted single-bond geometry to one K(1), two equivalent Mg(3), two equivalent Mg(7), and one B(1) atom. In the ninth O site, O(9) is bonded to one Mg(1), one Mg(2), two equivalent Mg(4), and two equivalent Mg(7) atoms to form OMg6 octahedra that share corners with four equivalent O(9)Mg6 octahedra, edges with two equivalent O(1)KMg5 octahedra, edges with two equivalent O(6)Mg6 octahedra, edges with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with two equivalent O(2)Mg5 square pyramids. The corner-sharing octahedra are not tilted. is represented by the CIF file [CIF]
data_KMg14BO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.449
_cell_length_b   8.216
_cell_length_c   8.892
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   325.031
_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  0.000  0.000  0.000  1.0
  Mg  Mg1  1  0.000  0.000  0.500  1.0
  Mg  Mg2  1  0.000  0.500  0.500  1.0
  Mg  Mg3  1  0.500  0.741  0.000  1.0
  Mg  Mg4  1  0.500  0.259  0.000  1.0
  Mg  Mg5  1  0.500  0.749  0.500  1.0
  Mg  Mg6  1  0.500  0.251  0.500  1.0
  Mg  Mg7  1  0.500  0.000  0.748  1.0
  Mg  Mg8  1  0.500  0.500  0.753  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  0.746  0.735  1.0
  Mg  Mg12  1  0.000  0.254  0.735  1.0
  Mg  Mg13  1  0.000  0.746  0.265  1.0
  Mg  Mg14  1  0.000  0.254  0.265  1.0
  B  B15  1  0.000  0.500  0.000  1.0
  O  O16  1  0.000  0.000  0.728  1.0
  O  O17  1  0.000  0.500  0.732  1.0
  O  O18  1  0.000  0.000  0.272  1.0
  O  O19  1  0.000  0.500  0.268  1.0
  O  O20  1  0.500  0.750  0.755  1.0
  O  O21  1  0.500  0.250  0.755  1.0
  O  O22  1  0.500  0.750  0.245  1.0
  O  O23  1  0.500  0.250  0.245  1.0
  O  O24  1  0.500  0.000  0.000  1.0
  O  O25  1  0.500  0.500  0.000  1.0
  O  O26  1  0.500  0.000  0.500  1.0
  O  O27  1  0.500  0.500  0.500  1.0
  O  O28  1  0.000  0.667  0.000  1.0
  O  O29  1  0.000  0.333  0.000  1.0
  O  O30  1  0.000  0.749  0.500  1.0
  O  O31  1  0.000  0.251  0.500  1.0
[/CIF]
.
The material structure described by KMg14BO16 crystallizes in the orthorhombic Pmmm space group. K(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(8) atoms to form distorted KO6 octahedra that share corners with two equivalent K(1)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, edges with four equivalent Mg(5)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedra are not tilted. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent O(1), two equivalent O(6), and two equivalent O(9) atoms to form MgO6 octahedra that share corners with two equivalent K(1)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra, edges with four equivalent Mg(4)O6 octahedra, edges with four equivalent Mg(5)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Mg site, Mg(2) is bonded to two equivalent O(2), two equivalent O(7), and two equivalent O(9) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra are not tilted. In the third Mg site, Mg(3) is bonded to one O(4), one O(5), two equivalent O(3), and two equivalent O(8) atoms to form MgO6 octahedra that share corners with two equivalent Mg(4)O6 octahedra, corners with four equivalent Mg(3)O6 octahedra, edges with two equivalent K(1)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-31°. In the fourth Mg site, Mg(4) is bonded to one O(6), one O(7), two equivalent O(3), and two equivalent O(9) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fifth Mg site, Mg(5) is bonded to one O(4), one O(6), two equivalent O(1), and two equivalent O(3) atoms to form MgO6 octahedra that share corners with two equivalent Mg(6)O6 octahedra, corners with four equivalent Mg(5)O6 octahedra, edges with two equivalent K(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the sixth Mg site, Mg(6) is bonded to one O(5), one O(7), two equivalent O(2), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the seventh Mg site, Mg(7) is bonded to one O(1), one O(2), one O(8), one O(9), and two equivalent O(3) atoms to form distorted MgO6 octahedra that share corners with six equivalent Mg(7)O6 octahedra,  an edgeedge with one K(1)O6 octahedra,  an edgeedge with one Mg(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(5)O6 octahedra, and edges with two equivalent Mg(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-31°. B(1) is bonded in a linear geometry to two equivalent O(8) atoms. There are nine inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one Mg(1), two equivalent Mg(5), and two equivalent Mg(7) atoms to form OKMg5 octahedra that share corners with four equivalent O(1)KMg5 octahedra, corners with two equivalent O(2)Mg5 square pyramids, edges with two equivalent O(4)K2Mg4 octahedra, edges with two equivalent O(6)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the second O site, O(2) is bonded to one Mg(2), two equivalent Mg(6), and two equivalent Mg(7) atoms to form OMg5 square pyramids that share corners with two equivalent O(1)KMg5 octahedra, corners with three equivalent O(2)Mg5 square pyramids, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles are 2°. In the third O site, O(3) is bonded to one Mg(3), one Mg(4), one Mg(5), one Mg(6), and two equivalent Mg(7) atoms to form OMg6 octahedra that share corners with six equivalent O(3)Mg6 octahedra,  an edgeedge with one O(4)K2Mg4 octahedra,  an edgeedge with one O(6)Mg6 octahedra,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(1)KMg5 octahedra, edges with two equivalent O(9)Mg6 octahedra, and edges with two equivalent O(2)Mg5 square pyramids. The corner-sharing octahedral tilt angles range from 0-9°. In the fourth O site, O(4) is bonded to two equivalent K(1), two equivalent Mg(3), and two equivalent Mg(5) atoms to form OK2Mg4 octahedra that share corners with two equivalent O(4)K2Mg4 octahedra, corners with two equivalent O(6)Mg6 octahedra, edges with four equivalent O(1)KMg5 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the fifth O site, O(5) is bonded in a distorted square co-planar geometry to two equivalent Mg(3) and two equivalent Mg(6) atoms. In the sixth O site, O(6) is bonded to two equivalent Mg(1), two equivalent Mg(4), and two equivalent Mg(5) atoms to form OMg6 octahedra that share corners with two equivalent O(4)K2Mg4 octahedra, corners with two equivalent O(6)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(1)KMg5 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with four equivalent O(9)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the seventh O site, O(7) is bonded to two equivalent Mg(2), two equivalent Mg(4), and two equivalent Mg(6) atoms to form OMg6 octahedra that share corners with two equivalent O(6)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, edges with four equivalent O(9)Mg6 octahedra, and edges with four equivalent O(2)Mg5 square pyramids. The corner-sharing octahedra are not tilted. In the eighth O site, O(8) is bonded in a distorted single-bond geometry to one K(1), two equivalent Mg(3), two equivalent Mg(7), and one B(1) atom. In the ninth O site, O(9) is bonded to one Mg(1), one Mg(2), two equivalent Mg(4), and two equivalent Mg(7) atoms to form OMg6 octahedra that share corners with four equivalent O(9)Mg6 octahedra, edges with two equivalent O(1)KMg5 octahedra, edges with two equivalent O(6)Mg6 octahedra, edges with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(3)Mg6 octahedra, and edges with two equivalent O(2)Mg5 square pyramids. The corner-sharing octahedra are not tilted. is represented by the CIF file [CIF]
data_KMg14BO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.449
_cell_length_b   8.216
_cell_length_c   8.892
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   325.031
_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  0.000  0.000  0.000  1.0
  Mg  Mg1  1  0.000  0.000  0.500  1.0
  Mg  Mg2  1  0.000  0.500  0.500  1.0
  Mg  Mg3  1  0.500  0.741  0.000  1.0
  Mg  Mg4  1  0.500  0.259  0.000  1.0
  Mg  Mg5  1  0.500  0.749  0.500  1.0
  Mg  Mg6  1  0.500  0.251  0.500  1.0
  Mg  Mg7  1  0.500  0.000  0.748  1.0
  Mg  Mg8  1  0.500  0.500  0.753  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  0.746  0.735  1.0
  Mg  Mg12  1  0.000  0.254  0.735  1.0
  Mg  Mg13  1  0.000  0.746  0.265  1.0
  Mg  Mg14  1  0.000  0.254  0.265  1.0
  B  B15  1  0.000  0.500  0.000  1.0
  O  O16  1  0.000  0.000  0.728  1.0
  O  O17  1  0.000  0.500  0.732  1.0
  O  O18  1  0.000  0.000  0.272  1.0
  O  O19  1  0.000  0.500  0.268  1.0
  O  O20  1  0.500  0.750  0.755  1.0
  O  O21  1  0.500  0.250  0.755  1.0
  O  O22  1  0.500  0.750  0.245  1.0
  O  O23  1  0.500  0.250  0.245  1.0
  O  O24  1  0.500  0.000  0.000  1.0
  O  O25  1  0.500  0.500  0.000  1.0
  O  O26  1  0.500  0.000  0.500  1.0
  O  O27  1  0.500  0.500  0.500  1.0
  O  O28  1  0.000  0.667  0.000  1.0
  O  O29  1  0.000  0.333  0.000  1.0
  O  O30  1  0.000  0.749  0.500  1.0
  O  O31  1  0.000  0.251  0.500  1.0
[/CIF]
.