The crystal structure described by LiMg14LaO16 is Caswellsilverite-derived structured and crystallizes in the orthorhombic Pmmm space group. Li(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent La(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 eight 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 Li(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 O(2,2); two equivalent O(7); and two equivalent O(9) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra; corners with two equivalent Mg(2)O6 octahedra; corners with two equivalent La(1)O6 octahedra; edges with four equivalent Mg(4)O6 octahedra; edges with four Mg(6,6)O6 octahedra; and edges with four equivalent Mg(7)O6 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 Li(1)O6 octahedra; edges with two equivalent Mg(5)O6 octahedra; edges with two Mg(6,6)O6 octahedra; edges with two equivalent La(1)O6 octahedra; and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. 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 0-8°. 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 Li(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 0-8°. 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 MgO6 octahedra that share corners with two equivalent Mg(5)O6 octahedra; corners with four Mg(6,6)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; edges with two equivalent La(1)O6 octahedra; and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the seventh 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 MgO6 octahedra that share corners with two equivalent Mg(5)O6 octahedra; corners with four Mg(6,6)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; edges with two equivalent La(1)O6 octahedra; and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eighth 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 MgO6 octahedra that share corners with six equivalent Mg(7)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one La(1)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 1-8°. La(1) is bonded to two O(2,2); two equivalent O(5); and two equivalent O(8) atoms to form LaO6 octahedra that share corners with two equivalent Li(1)O6 octahedra; corners with two equivalent Mg(2)O6 octahedra; corners with two equivalent La(1)O6 octahedra; edges with four equivalent Mg(3)O6 octahedra; edges with four Mg(6,6)O6 octahedra; and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedra are not tilted. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Mg(1), two equivalent Mg(5), and two equivalent Mg(7) atoms to form OLiMg5 octahedra that share corners with two equivalent O(2)LaMg5 octahedra, corners with four equivalent O(1)LiMg5 octahedra, edges with two equivalent O(4)Li2Mg4 octahedra, edges with two equivalent O(8)LiLaMg4 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 0-8°. In the second O site, O(2) is bonded to one Mg(2), two equivalent Mg(6), two equivalent Mg(7), and one La(1) atom to form OLaMg5 octahedra that share corners with two equivalent O(1)LiMg5 octahedra; corners with four O(2,2)LaMg5 octahedra; edges with two equivalent O(5)La2Mg4 octahedra; edges with two equivalent O(8)LiLaMg4 octahedra; 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 range from 0-5°. In the third O site, O(2) is bonded to one Mg(2), two equivalent Mg(6), two equivalent Mg(7), and one La(1) atom to form OLaMg5 octahedra that share corners with two equivalent O(1)LiMg5 octahedra; corners with four O(2,2)LaMg5 octahedra; edges with two equivalent O(5)La2Mg4 octahedra; edges with two equivalent O(8)LiLaMg4 octahedra; 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 range from 0-5°. In the fourth 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(5)La2Mg4 octahedra,  an edgeedge with one O(4)Li2Mg4 octahedra,  an edgeedge with one O(6)Mg6 octahedra,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(2)LaMg5 octahedra, edges with two equivalent O(8)LiLaMg4 octahedra, edges with two equivalent O(1)LiMg5 octahedra, and edges with two equivalent O(9)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the fifth O site, O(4) is bonded to two equivalent Li(1), two equivalent Mg(3), and two equivalent Mg(5) atoms to form OLi2Mg4 octahedra that share corners with two equivalent O(5)La2Mg4 octahedra, corners with two equivalent O(4)Li2Mg4 octahedra, corners with two equivalent O(6)Mg6 octahedra, edges with four equivalent O(8)LiLaMg4 octahedra, edges with four equivalent O(1)LiMg5 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(5) is bonded to two equivalent Mg(3); two Mg(6,6); and two equivalent La(1) atoms to form OLa2Mg4 octahedra that share corners with two equivalent O(5)La2Mg4 octahedra; corners with two equivalent O(4)Li2Mg4 octahedra; corners with two equivalent O(7)Mg6 octahedra; edges with four O(2,2)LaMg5 octahedra; edges with four equivalent O(8)LiLaMg4 octahedra; and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the seventh 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)Li2Mg4 octahedra, corners with two equivalent O(6)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(1)LiMg5 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 eighth O site, O(7) is bonded to two equivalent Mg(2); two equivalent Mg(4); and two Mg(6,6) atoms to form OMg6 octahedra that share corners with two equivalent O(5)La2Mg4 octahedra; corners with two equivalent O(6)Mg6 octahedra; corners with two equivalent O(7)Mg6 octahedra; edges with four O(2,2)LaMg5 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 ninth O site, O(8) is bonded to one Li(1), two equivalent Mg(3), two equivalent Mg(7), and one La(1) atom to form OLiLaMg4 octahedra that share corners with two equivalent O(9)Mg6 octahedra; corners with four equivalent O(8)LiLaMg4 octahedra; edges with two equivalent O(5)La2Mg4 octahedra; edges with two O(2,2)LaMg5 octahedra; edges with two equivalent O(4)Li2Mg4 octahedra; edges with two equivalent O(1)LiMg5 octahedra; and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the tenth 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 two equivalent O(8)LiLaMg4 octahedra; corners with four equivalent O(9)Mg6 octahedra; edges with two O(2,2)LaMg5 octahedra; edges with two equivalent O(1)LiMg5 octahedra; edges with two equivalent O(6)Mg6 octahedra; edges with two equivalent O(7)Mg6 octahedra; and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. is represented by the CIF file [CIF]
data_LiLaMg14O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.698
_cell_length_b   8.703
_cell_length_c   4.372
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   330.917
_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  0.000  0.000  0.000  1.0
  La  La1  1  0.000  0.500  0.000  1.0
  Mg  Mg2  1  0.500  0.000  0.000  1.0
  Mg  Mg3  1  0.500  0.500  0.000  1.0
  Mg  Mg4  1  0.000  0.226  0.500  1.0
  Mg  Mg5  1  0.000  0.774  0.500  1.0
  Mg  Mg6  1  0.500  0.245  0.500  1.0
  Mg  Mg7  1  0.500  0.755  0.500  1.0
  Mg  Mg8  1  0.246  0.000  0.500  1.0
  Mg  Mg9  1  0.267  0.500  0.500  1.0
  Mg  Mg10  1  0.754  0.000  0.500  1.0
  Mg  Mg11  1  0.733  0.500  0.500  1.0
  Mg  Mg12  1  0.255  0.235  0.000  1.0
  Mg  Mg13  1  0.255  0.765  0.000  1.0
  Mg  Mg14  1  0.745  0.235  0.000  1.0
  Mg  Mg15  1  0.745  0.765  0.000  1.0
  O  O16  1  0.263  0.000  0.000  1.0
  O  O17  1  0.270  0.500  0.000  1.0
  O  O18  1  0.737  0.000  0.000  1.0
  O  O19  1  0.730  0.500  0.000  1.0
  O  O20  1  0.249  0.252  0.500  1.0
  O  O21  1  0.249  0.748  0.500  1.0
  O  O22  1  0.751  0.252  0.500  1.0
  O  O23  1  0.751  0.748  0.500  1.0
  O  O24  1  0.000  0.000  0.500  1.0
  O  O25  1  0.000  0.500  0.500  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  0.232  0.000  1.0
  O  O29  1  0.000  0.768  0.000  1.0
  O  O30  1  0.500  0.249  0.000  1.0
  O  O31  1  0.500  0.751  0.000  1.0
[/CIF]
.
The crystal structure described by LiMg14LaO16 is Caswellsilverite-derived structured and crystallizes in the orthorhombic Pmmm space group. Li(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent La(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 eight 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 Li(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 O(2,2); two equivalent O(7); and two equivalent O(9) atoms to form MgO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra; corners with two equivalent Mg(2)O6 octahedra; corners with two equivalent La(1)O6 octahedra; edges with four equivalent Mg(4)O6 octahedra; edges with four Mg(6,6)O6 octahedra; and edges with four equivalent Mg(7)O6 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 Li(1)O6 octahedra; edges with two equivalent Mg(5)O6 octahedra; edges with two Mg(6,6)O6 octahedra; edges with two equivalent La(1)O6 octahedra; and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. 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 0-8°. 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 Li(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 0-8°. 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 MgO6 octahedra that share corners with two equivalent Mg(5)O6 octahedra; corners with four Mg(6,6)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; edges with two equivalent La(1)O6 octahedra; and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the seventh 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 MgO6 octahedra that share corners with two equivalent Mg(5)O6 octahedra; corners with four Mg(6,6)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; edges with two equivalent La(1)O6 octahedra; and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eighth 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 MgO6 octahedra that share corners with six equivalent Mg(7)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one La(1)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 1-8°. La(1) is bonded to two O(2,2); two equivalent O(5); and two equivalent O(8) atoms to form LaO6 octahedra that share corners with two equivalent Li(1)O6 octahedra; corners with two equivalent Mg(2)O6 octahedra; corners with two equivalent La(1)O6 octahedra; edges with four equivalent Mg(3)O6 octahedra; edges with four Mg(6,6)O6 octahedra; and edges with four equivalent Mg(7)O6 octahedra. The corner-sharing octahedra are not tilted. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Mg(1), two equivalent Mg(5), and two equivalent Mg(7) atoms to form OLiMg5 octahedra that share corners with two equivalent O(2)LaMg5 octahedra, corners with four equivalent O(1)LiMg5 octahedra, edges with two equivalent O(4)Li2Mg4 octahedra, edges with two equivalent O(8)LiLaMg4 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 0-8°. In the second O site, O(2) is bonded to one Mg(2), two equivalent Mg(6), two equivalent Mg(7), and one La(1) atom to form OLaMg5 octahedra that share corners with two equivalent O(1)LiMg5 octahedra; corners with four O(2,2)LaMg5 octahedra; edges with two equivalent O(5)La2Mg4 octahedra; edges with two equivalent O(8)LiLaMg4 octahedra; 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 range from 0-5°. In the third O site, O(2) is bonded to one Mg(2), two equivalent Mg(6), two equivalent Mg(7), and one La(1) atom to form OLaMg5 octahedra that share corners with two equivalent O(1)LiMg5 octahedra; corners with four O(2,2)LaMg5 octahedra; edges with two equivalent O(5)La2Mg4 octahedra; edges with two equivalent O(8)LiLaMg4 octahedra; 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 range from 0-5°. In the fourth 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(5)La2Mg4 octahedra,  an edgeedge with one O(4)Li2Mg4 octahedra,  an edgeedge with one O(6)Mg6 octahedra,  an edgeedge with one O(7)Mg6 octahedra, edges with two equivalent O(2)LaMg5 octahedra, edges with two equivalent O(8)LiLaMg4 octahedra, edges with two equivalent O(1)LiMg5 octahedra, and edges with two equivalent O(9)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the fifth O site, O(4) is bonded to two equivalent Li(1), two equivalent Mg(3), and two equivalent Mg(5) atoms to form OLi2Mg4 octahedra that share corners with two equivalent O(5)La2Mg4 octahedra, corners with two equivalent O(4)Li2Mg4 octahedra, corners with two equivalent O(6)Mg6 octahedra, edges with four equivalent O(8)LiLaMg4 octahedra, edges with four equivalent O(1)LiMg5 octahedra, and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(5) is bonded to two equivalent Mg(3); two Mg(6,6); and two equivalent La(1) atoms to form OLa2Mg4 octahedra that share corners with two equivalent O(5)La2Mg4 octahedra; corners with two equivalent O(4)Li2Mg4 octahedra; corners with two equivalent O(7)Mg6 octahedra; edges with four O(2,2)LaMg5 octahedra; edges with four equivalent O(8)LiLaMg4 octahedra; and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedra are not tilted. In the seventh 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)Li2Mg4 octahedra, corners with two equivalent O(6)Mg6 octahedra, corners with two equivalent O(7)Mg6 octahedra, edges with four equivalent O(1)LiMg5 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 eighth O site, O(7) is bonded to two equivalent Mg(2); two equivalent Mg(4); and two Mg(6,6) atoms to form OMg6 octahedra that share corners with two equivalent O(5)La2Mg4 octahedra; corners with two equivalent O(6)Mg6 octahedra; corners with two equivalent O(7)Mg6 octahedra; edges with four O(2,2)LaMg5 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 ninth O site, O(8) is bonded to one Li(1), two equivalent Mg(3), two equivalent Mg(7), and one La(1) atom to form OLiLaMg4 octahedra that share corners with two equivalent O(9)Mg6 octahedra; corners with four equivalent O(8)LiLaMg4 octahedra; edges with two equivalent O(5)La2Mg4 octahedra; edges with two O(2,2)LaMg5 octahedra; edges with two equivalent O(4)Li2Mg4 octahedra; edges with two equivalent O(1)LiMg5 octahedra; and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the tenth 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 two equivalent O(8)LiLaMg4 octahedra; corners with four equivalent O(9)Mg6 octahedra; edges with two O(2,2)LaMg5 octahedra; edges with two equivalent O(1)LiMg5 octahedra; edges with two equivalent O(6)Mg6 octahedra; edges with two equivalent O(7)Mg6 octahedra; and edges with four equivalent O(3)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. is represented by the CIF file [CIF]
data_LiLaMg14O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.698
_cell_length_b   8.703
_cell_length_c   4.372
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   330.917
_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  0.000  0.000  0.000  1.0
  La  La1  1  0.000  0.500  0.000  1.0
  Mg  Mg2  1  0.500  0.000  0.000  1.0
  Mg  Mg3  1  0.500  0.500  0.000  1.0
  Mg  Mg4  1  0.000  0.226  0.500  1.0
  Mg  Mg5  1  0.000  0.774  0.500  1.0
  Mg  Mg6  1  0.500  0.245  0.500  1.0
  Mg  Mg7  1  0.500  0.755  0.500  1.0
  Mg  Mg8  1  0.246  0.000  0.500  1.0
  Mg  Mg9  1  0.267  0.500  0.500  1.0
  Mg  Mg10  1  0.754  0.000  0.500  1.0
  Mg  Mg11  1  0.733  0.500  0.500  1.0
  Mg  Mg12  1  0.255  0.235  0.000  1.0
  Mg  Mg13  1  0.255  0.765  0.000  1.0
  Mg  Mg14  1  0.745  0.235  0.000  1.0
  Mg  Mg15  1  0.745  0.765  0.000  1.0
  O  O16  1  0.263  0.000  0.000  1.0
  O  O17  1  0.270  0.500  0.000  1.0
  O  O18  1  0.737  0.000  0.000  1.0
  O  O19  1  0.730  0.500  0.000  1.0
  O  O20  1  0.249  0.252  0.500  1.0
  O  O21  1  0.249  0.748  0.500  1.0
  O  O22  1  0.751  0.252  0.500  1.0
  O  O23  1  0.751  0.748  0.500  1.0
  O  O24  1  0.000  0.000  0.500  1.0
  O  O25  1  0.000  0.500  0.500  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  0.232  0.000  1.0
  O  O29  1  0.000  0.768  0.000  1.0
  O  O30  1  0.500  0.249  0.000  1.0
  O  O31  1  0.500  0.751  0.000  1.0
[/CIF]
.