The material described by LiMg14BO15 crystallizes in the orthorhombic Pmm2 space group. Li(1) is bonded in a T-shaped geometry to one O(2) 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, corners with two equivalent Mg(9)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, edges with four equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles are 6°. 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 two equivalent Mg(4)O6 octahedra, corners with four equivalent Mg(3)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, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-31°. 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, edges with two equivalent Mg(1)O5 square pyramids, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 1-6°. In the fifth Mg site, Mg(5) is bonded in a square co-planar geometry to one O(6), 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, corners with two equivalent Mg(8)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with four equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-15°. 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 are 1°. 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 0-8°. 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 MgO5 square pyramids that share corners with two equivalent Mg(10)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid, corners with three equivalent Mg(9)O5 square pyramids,  an edgeedge with one Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-33°. 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, corners with two equivalent Mg(9)O5 square pyramids,  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 2-9°. B(1) is bonded in a 3-coordinate geometry to one O(3), two equivalent O(10), and two equivalent O(7) 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 square pyramids that share  a cornercorner with one O(3)Mg5B octahedra, corners with two equivalent O(7)Mg4B2 octahedra, corners with two equivalent O(1)Mg5 square pyramids, 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 octahedral tilt angles range from 0-82°. In the second O site, O(2) is bonded to one Li(1), one Mg(1), two equivalent Mg(10), and two equivalent Mg(7) atoms to form OLiMg5 octahedra that share corners with two equivalent O(2)LiMg5 octahedra, corners with two equivalent O(3)Mg5B octahedra, edges with two equivalent O(6)Li2Mg4 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 1-6°. 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(2)LiMg5 octahedra, corners with two equivalent O(3)Mg5B octahedra,  a cornercorner with one O(1)Mg5 square pyramid, edges with two equivalent O(7)Mg4B2 octahedra, 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 6-8°. 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(6)Li2Mg4 octahedra,  an edgeedge with one O(7)Mg4B2 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 square pyramids. The corner-sharing octahedral tilt angles range from 1-5°. 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(6)Li2Mg4 octahedra,  an edgeedge with one O(7)Mg4B2 octahedra,  an edgeedge with one O(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra, edges with two equivalent O(2)LiMg5 octahedra, edges with two equivalent O(3)Mg5B octahedra, and edges with two equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the sixth O site, O(6) is bonded to two equivalent Li(1), one Mg(5), one Mg(7), and two equivalent Mg(3) atoms to form OLi2Mg4 octahedra that share corners with two equivalent O(6)Li2Mg4 octahedra, corners with two equivalent O(7)Mg4B2 octahedra, corners with two equivalent O(8)Mg6 octahedra, edges with two equivalent O(2)LiMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, and edges with two equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the seventh O site, O(7) is bonded to one Mg(6), one Mg(8), two equivalent Mg(3), and two equivalent B(1) atoms to form distorted OMg4B2 octahedra that share corners with two equivalent O(6)Li2Mg4 octahedra, corners with two equivalent O(7)Mg4B2 octahedra, corners with two equivalent O(9)Mg6 octahedra, corners with two equivalent O(1)Mg5 square pyramids, edges with two equivalent O(3)Mg5B octahedra, edges with two equivalent O(4)Mg6 octahedra, and edges with two equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-21°. 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(6)Li2Mg4 octahedra, corners with two equivalent O(8)Mg6 octahedra, corners with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(2)LiMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. 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(7)Mg4B2 octahedra, 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 square pyramids. The corner-sharing octahedral tilt angles range from 0-6°. In the tenth O site, O(10) is bonded in a 5-coordinate geometry to 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(2)LiMg5 octahedra,  an edgeedge with one O(3)Mg5B 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 square pyramid. The corner-sharing octahedral tilt angles range from 3-4°. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiMg14BO15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.602
_cell_length_b   8.354
_cell_length_c   4.279
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   307.488
_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
  Li  Li0  1  0.991  0.000  0.000  1.0
  Mg  Mg1  1  0.502  0.000  0.000  1.0
  Mg  Mg2  1  0.502  0.500  0.000  1.0
  Mg  Mg3  1  0.000  0.259  0.500  1.0
  Mg  Mg4  1  0.000  0.741  0.500  1.0
  Mg  Mg5  1  0.501  0.249  0.500  1.0
  Mg  Mg6  1  0.501  0.751  0.500  1.0
  Mg  Mg7  1  0.240  0.000  0.500  1.0
  Mg  Mg8  1  0.241  0.500  0.500  1.0
  Mg  Mg9  1  0.758  0.000  0.500  1.0
  Mg  Mg10  1  0.753  0.500  0.500  1.0
  Mg  Mg11  1  0.250  0.263  0.000  1.0
  Mg  Mg12  1  0.250  0.737  0.000  1.0
  Mg  Mg13  1  0.750  0.244  0.000  1.0
  Mg  Mg14  1  0.750  0.756  0.000  1.0
  B  B15  1  0.944  0.500  0.000  1.0
  O  O16  1  0.275  0.500  0.000  1.0
  O  O17  1  0.755  0.000  0.000  1.0
  O  O18  1  0.770  0.500  0.000  1.0
  O  O19  1  0.247  0.253  0.500  1.0
  O  O20  1  0.247  0.747  0.500  1.0
  O  O21  1  0.754  0.250  0.500  1.0
  O  O22  1  0.754  0.750  0.500  1.0
  O  O23  1  1.000  0.000  0.500  1.0
  O  O24  1  0.990  0.500  0.500  1.0
  O  O25  1  0.503  0.000  0.500  1.0
  O  O26  1  0.514  0.500  0.500  1.0
  O  O27  1  0.994  0.329  0.000  1.0
  O  O28  1  0.994  0.671  0.000  1.0
  O  O29  1  0.509  0.251  0.000  1.0
  O  O30  1  0.509  0.749  0.000  1.0
[/CIF]
.
The material described by LiMg14BO15 crystallizes in the orthorhombic Pmm2 space group. Li(1) is bonded in a T-shaped geometry to one O(2) 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, corners with two equivalent Mg(9)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, edges with four equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles are 6°. 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 two equivalent Mg(4)O6 octahedra, corners with four equivalent Mg(3)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, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-31°. 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, edges with two equivalent Mg(1)O5 square pyramids, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 1-6°. In the fifth Mg site, Mg(5) is bonded in a square co-planar geometry to one O(6), 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, corners with two equivalent Mg(8)O6 octahedra, edges with two equivalent Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with four equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-15°. 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 are 1°. 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 0-8°. 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 MgO5 square pyramids that share corners with two equivalent Mg(10)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid, corners with three equivalent Mg(9)O5 square pyramids,  an edgeedge with one Mg(2)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-33°. 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, corners with two equivalent Mg(9)O5 square pyramids,  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 2-9°. B(1) is bonded in a 3-coordinate geometry to one O(3), two equivalent O(10), and two equivalent O(7) 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 square pyramids that share  a cornercorner with one O(3)Mg5B octahedra, corners with two equivalent O(7)Mg4B2 octahedra, corners with two equivalent O(1)Mg5 square pyramids, 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 octahedral tilt angles range from 0-82°. In the second O site, O(2) is bonded to one Li(1), one Mg(1), two equivalent Mg(10), and two equivalent Mg(7) atoms to form OLiMg5 octahedra that share corners with two equivalent O(2)LiMg5 octahedra, corners with two equivalent O(3)Mg5B octahedra, edges with two equivalent O(6)Li2Mg4 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 1-6°. 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(2)LiMg5 octahedra, corners with two equivalent O(3)Mg5B octahedra,  a cornercorner with one O(1)Mg5 square pyramid, edges with two equivalent O(7)Mg4B2 octahedra, 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 6-8°. 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(6)Li2Mg4 octahedra,  an edgeedge with one O(7)Mg4B2 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 square pyramids. The corner-sharing octahedral tilt angles range from 1-5°. 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(6)Li2Mg4 octahedra,  an edgeedge with one O(7)Mg4B2 octahedra,  an edgeedge with one O(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra, edges with two equivalent O(2)LiMg5 octahedra, edges with two equivalent O(3)Mg5B octahedra, and edges with two equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the sixth O site, O(6) is bonded to two equivalent Li(1), one Mg(5), one Mg(7), and two equivalent Mg(3) atoms to form OLi2Mg4 octahedra that share corners with two equivalent O(6)Li2Mg4 octahedra, corners with two equivalent O(7)Mg4B2 octahedra, corners with two equivalent O(8)Mg6 octahedra, edges with two equivalent O(2)LiMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, and edges with two equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the seventh O site, O(7) is bonded to one Mg(6), one Mg(8), two equivalent Mg(3), and two equivalent B(1) atoms to form distorted OMg4B2 octahedra that share corners with two equivalent O(6)Li2Mg4 octahedra, corners with two equivalent O(7)Mg4B2 octahedra, corners with two equivalent O(9)Mg6 octahedra, corners with two equivalent O(1)Mg5 square pyramids, edges with two equivalent O(3)Mg5B octahedra, edges with two equivalent O(4)Mg6 octahedra, and edges with two equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-21°. 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(6)Li2Mg4 octahedra, corners with two equivalent O(8)Mg6 octahedra, corners with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(2)LiMg5 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. 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(7)Mg4B2 octahedra, 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 square pyramids. The corner-sharing octahedral tilt angles range from 0-6°. In the tenth O site, O(10) is bonded in a 5-coordinate geometry to 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(2)LiMg5 octahedra,  an edgeedge with one O(3)Mg5B 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 square pyramid. The corner-sharing octahedral tilt angles range from 3-4°. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiMg14BO15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.602
_cell_length_b   8.354
_cell_length_c   4.279
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   307.488
_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
  Li  Li0  1  0.991  0.000  0.000  1.0
  Mg  Mg1  1  0.502  0.000  0.000  1.0
  Mg  Mg2  1  0.502  0.500  0.000  1.0
  Mg  Mg3  1  0.000  0.259  0.500  1.0
  Mg  Mg4  1  0.000  0.741  0.500  1.0
  Mg  Mg5  1  0.501  0.249  0.500  1.0
  Mg  Mg6  1  0.501  0.751  0.500  1.0
  Mg  Mg7  1  0.240  0.000  0.500  1.0
  Mg  Mg8  1  0.241  0.500  0.500  1.0
  Mg  Mg9  1  0.758  0.000  0.500  1.0
  Mg  Mg10  1  0.753  0.500  0.500  1.0
  Mg  Mg11  1  0.250  0.263  0.000  1.0
  Mg  Mg12  1  0.250  0.737  0.000  1.0
  Mg  Mg13  1  0.750  0.244  0.000  1.0
  Mg  Mg14  1  0.750  0.756  0.000  1.0
  B  B15  1  0.944  0.500  0.000  1.0
  O  O16  1  0.275  0.500  0.000  1.0
  O  O17  1  0.755  0.000  0.000  1.0
  O  O18  1  0.770  0.500  0.000  1.0
  O  O19  1  0.247  0.253  0.500  1.0
  O  O20  1  0.247  0.747  0.500  1.0
  O  O21  1  0.754  0.250  0.500  1.0
  O  O22  1  0.754  0.750  0.500  1.0
  O  O23  1  1.000  0.000  0.500  1.0
  O  O24  1  0.990  0.500  0.500  1.0
  O  O25  1  0.503  0.000  0.500  1.0
  O  O26  1  0.514  0.500  0.500  1.0
  O  O27  1  0.994  0.329  0.000  1.0
  O  O28  1  0.994  0.671  0.000  1.0
  O  O29  1  0.509  0.251  0.000  1.0
  O  O30  1  0.509  0.749  0.000  1.0
[/CIF]
.