NaLiMg14O15 crystallizes in the orthorhombic Pmm2 space group. Na(1) is bonded to one O(3), two equivalent O(10), and two equivalent O(7) atoms to form NaO5 square pyramids that share corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one Mg(2)O5 square pyramid, corners with two equivalent Na(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(8)O6 octahedra, and edges with four equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. Li(1) is bonded to one O(1), one O(2), two equivalent O(10), and two equivalent O(6) 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 Na(1)O5 square pyramids, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, edges with two equivalent Mg(7)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-4°. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(2), two equivalent O(11), and two equivalent O(8) 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)O5 square pyramids, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, edges with two equivalent Mg(7)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 range from 0-3°. In the second Mg site, Mg(2) is bonded to one O(3), two equivalent O(11), and two equivalent O(9) atoms to form MgO5 square pyramids that share corners with two equivalent Mg(1)O6 octahedra,  a cornercorner with one Na(1)O5 square pyramid, corners with two equivalent Mg(2)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(8)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. 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(5)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Na(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 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(5)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(2)O5 square pyramids, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 1-8°. In the fifth Mg site, Mg(5) is bonded to one O(6), one O(8), two equivalent O(1), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Mg(5)O6 octahedra, corners with two equivalent Mg(7)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(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-10°. In the sixth Mg site, Mg(6) is bonded in a square co-planar geometry to one O(7), one O(9), and two equivalent O(4) atoms. 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(5)O6 octahedra, corners with two equivalent Mg(7)O6 octahedra, corners with two equivalent Mg(8)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(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. 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 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, edges with two equivalent Na(1)O5 square pyramids, and edges with two equivalent Mg(2)O5 square pyramids. The corner-sharing octahedral tilt angles range from 6-10°. 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 Na(1)O5 square pyramid,  a cornercorner with one Mg(2)O5 square pyramid, corners with three equivalent Mg(9)O5 square pyramids,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-12°. 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 Li(1)O6 octahedra,  an edgeedge with one Mg(1)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,  an edgeedge with one Na(1)O5 square pyramid, and  an edgeedge with one Mg(2)O5 square pyramid. The corner-sharing octahedral tilt angles range from 7-11°. There are eleven 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(9) atoms to form OLiMg5 octahedra that share corners with two equivalent O(1)LiMg5 octahedra, corners with two equivalent O(2)LiMg5 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, edges with two equivalent O(10)NaLiMg4 octahedra, and edges with four equivalent O(4)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. 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(1)LiMg5 octahedra, corners with two equivalent O(2)LiMg5 octahedra, corners with two equivalent O(3)NaMg5 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, edges with two equivalent O(10)NaLiMg4 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the third O site, O(3) is bonded to one Na(1), one Mg(2), two equivalent Mg(10), and two equivalent Mg(8) atoms to form ONaMg5 octahedra that share corners with two equivalent O(2)LiMg5 octahedra, corners with two equivalent O(3)NaMg5 octahedra, edges with two equivalent O(11)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(7)Na2Mg4 octahedra, edges with two equivalent O(10)NaLiMg4 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles are 10°. 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(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra,  an edgeedge with one O(7)Na2Mg4 octahedra, edges with two equivalent O(1)LiMg5 octahedra, edges with two equivalent O(11)Mg6 octahedra, and edges with two equivalent O(10)NaLiMg4 octahedra. The corner-sharing octahedral tilt angles range from 3-17°. 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(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra,  an edgeedge with one O(7)Na2Mg4 octahedra, edges with two equivalent O(2)LiMg5 octahedra, edges with two equivalent O(11)Mg6 octahedra, edges with two equivalent O(10)NaLiMg4 octahedra, and edges with two equivalent O(3)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 3-7°. 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(8)Mg6 octahedra, corners with two equivalent O(7)Na2Mg4 octahedra, edges with two equivalent O(1)LiMg5 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(10)NaLiMg4 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the seventh O site, O(7) is bonded to two equivalent Na(1), one Mg(6), one Mg(8), and two equivalent Mg(3) atoms to form ONa2Mg4 octahedra that share corners with two equivalent O(6)Li2Mg4 octahedra, corners with two equivalent O(9)Mg6 octahedra, corners with two equivalent O(7)Na2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(3)NaMg5 octahedra, and edges with four equivalent O(10)NaLiMg4 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. 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(1)LiMg5 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(8)Mg6 octahedra, corners with two equivalent O(9)Mg6 octahedra, corners with two equivalent O(7)Na2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(3)NaMg5 octahedra, and edges with four equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-16°. In the tenth O site, O(10) is bonded to one Na(1), one Li(1), one Mg(10), one Mg(9), and two equivalent Mg(3) atoms to form ONaLiMg4 octahedra that share corners with two equivalent O(11)Mg6 octahedra, corners with four equivalent O(10)NaLiMg4 octahedra,  an edgeedge with one O(1)LiMg5 octahedra,  an edgeedge with one O(2)LiMg5 octahedra,  an edgeedge with one O(3)NaMg5 octahedra, edges with two equivalent O(6)Li2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with two equivalent O(7)Na2Mg4 octahedra. The corner-sharing octahedral tilt angles range from 2-14°. 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 two equivalent O(10)NaLiMg4 octahedra, corners with four equivalent O(11)Mg6 octahedra,  an edgeedge with one O(1)LiMg5 octahedra,  an edgeedge with one O(2)LiMg5 octahedra,  an edgeedge with one O(3)NaMg5 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, and edges with two equivalent O(9)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 2-15°.
NaLiMg14O15 crystallizes in the orthorhombic Pmm2 space group. Na(1) is bonded to one O(3), two equivalent O(10), and two equivalent O(7) atoms to form NaO5 square pyramids that share corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one Mg(2)O5 square pyramid, corners with two equivalent Na(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(8)O6 octahedra, and edges with four equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. The Na(1)-O(3) bond length is 2.16 Å. Both Na(1)-O(10) bond lengths are 2.22 Å. Both Na(1)-O(7) bond lengths are 2.14 Å. Li(1) is bonded to one O(1), one O(2), two equivalent O(10), and two equivalent O(6) 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 Na(1)O5 square pyramids, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, edges with two equivalent Mg(7)O6 octahedra, edges with four equivalent Mg(3)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-4°. The Li(1)-O(1) bond length is 2.30 Å. The Li(1)-O(2) bond length is 2.19 Å. Both Li(1)-O(10) bond lengths are 2.10 Å. Both Li(1)-O(6) bond lengths are 2.14 Å. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(2), two equivalent O(11), and two equivalent O(8) 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)O5 square pyramids, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, edges with two equivalent Mg(7)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 range from 0-3°. The Mg(1)-O(1) bond length is 2.04 Å. The Mg(1)-O(2) bond length is 2.02 Å. Both Mg(1)-O(11) bond lengths are 2.26 Å. Both Mg(1)-O(8) bond lengths are 2.14 Å. In the second Mg site, Mg(2) is bonded to one O(3), two equivalent O(11), and two equivalent O(9) atoms to form MgO5 square pyramids that share corners with two equivalent Mg(1)O6 octahedra,  a cornercorner with one Na(1)O5 square pyramid, corners with two equivalent Mg(2)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(8)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. The Mg(2)-O(3) bond length is 1.91 Å. Both Mg(2)-O(11) bond lengths are 2.08 Å. Both Mg(2)-O(9) bond lengths are 2.16 Å. 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(5)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Na(1)O5 square pyramids, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 1-6°. The Mg(3)-O(4) bond length is 2.13 Å. The Mg(3)-O(5) bond length is 2.16 Å. The Mg(3)-O(6) bond length is 2.10 Å. The Mg(3)-O(7) bond length is 2.21 Å. Both Mg(3)-O(10) bond lengths are 2.14 Å. 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(5)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Mg(2)O5 square pyramids, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 1-8°. The Mg(4)-O(4) bond length is 2.13 Å. The Mg(4)-O(5) bond length is 2.13 Å. The Mg(4)-O(8) bond length is 2.16 Å. The Mg(4)-O(9) bond length is 2.16 Å. Both Mg(4)-O(11) bond lengths are 2.14 Å. In the fifth Mg site, Mg(5) is bonded to one O(6), one O(8), two equivalent O(1), and two equivalent O(4) atoms to form MgO6 octahedra that share corners with two equivalent Mg(5)O6 octahedra, corners with two equivalent Mg(7)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(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-10°. The Mg(5)-O(6) bond length is 2.05 Å. The Mg(5)-O(8) bond length is 2.17 Å. Both Mg(5)-O(1) bond lengths are 2.14 Å. Both Mg(5)-O(4) bond lengths are 2.23 Å. In the sixth Mg site, Mg(6) is bonded in a square co-planar geometry to one O(7), one O(9), and two equivalent O(4) atoms. The Mg(6)-O(7) bond length is 1.97 Å. The Mg(6)-O(9) bond length is 2.04 Å. Both Mg(6)-O(4) bond lengths are 2.08 Å. 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(5)O6 octahedra, corners with two equivalent Mg(7)O6 octahedra, corners with two equivalent Mg(8)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(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. The Mg(7)-O(6) bond length is 2.08 Å. The Mg(7)-O(8) bond length is 2.24 Å. Both Mg(7)-O(2) bond lengths are 2.14 Å. Both Mg(7)-O(5) bond lengths are 2.19 Å. 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 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, edges with two equivalent Na(1)O5 square pyramids, and edges with two equivalent Mg(2)O5 square pyramids. The corner-sharing octahedral tilt angles range from 6-10°. The Mg(8)-O(7) bond length is 2.13 Å. The Mg(8)-O(9) bond length is 2.41 Å. Both Mg(8)-O(3) bond lengths are 2.14 Å. Both Mg(8)-O(5) bond lengths are 2.13 Å. 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 Na(1)O5 square pyramid,  a cornercorner with one Mg(2)O5 square pyramid, corners with three equivalent Mg(9)O5 square pyramids,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, edges with two equivalent Mg(4)O6 octahedra, and edges with two equivalent Mg(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-12°. The Mg(9)-O(1) bond length is 1.93 Å. The Mg(9)-O(10) bond length is 2.01 Å. The Mg(9)-O(11) bond length is 2.12 Å. Both Mg(9)-O(4) bond lengths are 2.16 Å. 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 Li(1)O6 octahedra,  an edgeedge with one Mg(1)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,  an edgeedge with one Na(1)O5 square pyramid, and  an edgeedge with one Mg(2)O5 square pyramid. The corner-sharing octahedral tilt angles range from 7-11°. The Mg(10)-O(10) bond length is 2.09 Å. The Mg(10)-O(11) bond length is 2.36 Å. The Mg(10)-O(2) bond length is 2.14 Å. The Mg(10)-O(3) bond length is 2.20 Å. Both Mg(10)-O(5) bond lengths are 2.14 Å. There are eleven 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(9) atoms to form OLiMg5 octahedra that share corners with two equivalent O(1)LiMg5 octahedra, corners with two equivalent O(2)LiMg5 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, edges with two equivalent O(10)NaLiMg4 octahedra, and edges with four equivalent O(4)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. 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(1)LiMg5 octahedra, corners with two equivalent O(2)LiMg5 octahedra, corners with two equivalent O(3)NaMg5 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, edges with two equivalent O(10)NaLiMg4 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-10°. In the third O site, O(3) is bonded to one Na(1), one Mg(2), two equivalent Mg(10), and two equivalent Mg(8) atoms to form ONaMg5 octahedra that share corners with two equivalent O(2)LiMg5 octahedra, corners with two equivalent O(3)NaMg5 octahedra, edges with two equivalent O(11)Mg6 octahedra, edges with two equivalent O(9)Mg6 octahedra, edges with two equivalent O(7)Na2Mg4 octahedra, edges with two equivalent O(10)NaLiMg4 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles are 10°. 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(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra,  an edgeedge with one O(7)Na2Mg4 octahedra, edges with two equivalent O(1)LiMg5 octahedra, edges with two equivalent O(11)Mg6 octahedra, and edges with two equivalent O(10)NaLiMg4 octahedra. The corner-sharing octahedral tilt angles range from 3-17°. 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(8)Mg6 octahedra,  an edgeedge with one O(9)Mg6 octahedra,  an edgeedge with one O(7)Na2Mg4 octahedra, edges with two equivalent O(2)LiMg5 octahedra, edges with two equivalent O(11)Mg6 octahedra, edges with two equivalent O(10)NaLiMg4 octahedra, and edges with two equivalent O(3)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 3-7°. 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(8)Mg6 octahedra, corners with two equivalent O(7)Na2Mg4 octahedra, edges with two equivalent O(1)LiMg5 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(10)NaLiMg4 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the seventh O site, O(7) is bonded to two equivalent Na(1), one Mg(6), one Mg(8), and two equivalent Mg(3) atoms to form ONa2Mg4 octahedra that share corners with two equivalent O(6)Li2Mg4 octahedra, corners with two equivalent O(9)Mg6 octahedra, corners with two equivalent O(7)Na2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(3)NaMg5 octahedra, and edges with four equivalent O(10)NaLiMg4 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. 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(1)LiMg5 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(8)Mg6 octahedra, corners with two equivalent O(9)Mg6 octahedra, corners with two equivalent O(7)Na2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(3)NaMg5 octahedra, and edges with four equivalent O(11)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-16°. In the tenth O site, O(10) is bonded to one Na(1), one Li(1), one Mg(10), one Mg(9), and two equivalent Mg(3) atoms to form ONaLiMg4 octahedra that share corners with two equivalent O(11)Mg6 octahedra, corners with four equivalent O(10)NaLiMg4 octahedra,  an edgeedge with one O(1)LiMg5 octahedra,  an edgeedge with one O(2)LiMg5 octahedra,  an edgeedge with one O(3)NaMg5 octahedra, edges with two equivalent O(6)Li2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, and edges with two equivalent O(7)Na2Mg4 octahedra. The corner-sharing octahedral tilt angles range from 2-14°. 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 two equivalent O(10)NaLiMg4 octahedra, corners with four equivalent O(11)Mg6 octahedra,  an edgeedge with one O(1)LiMg5 octahedra,  an edgeedge with one O(2)LiMg5 octahedra,  an edgeedge with one O(3)NaMg5 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, and edges with two equivalent O(9)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 2-15°.