NaLiMg14O15 crystallizes in the orthorhombic Pmm2 space group. Na(1) is bonded to one O(1), one O(3), two equivalent O(11), and two equivalent O(9) atoms to form NaO6 octahedra that share corners with two equivalent Na(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(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 range from 0-3°. Li(1) is bonded to one O(2), two equivalent O(10), and two equivalent O(6) atoms to form LiO5 square pyramids that share corners with two equivalent Mg(1)O6 octahedra,  a cornercorner with one Mg(2)O5 square pyramid, corners with two equivalent Li(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(3)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(3), two equivalent O(10), and two equivalent O(7) atoms to form MgO6 octahedra that share corners with two equivalent Na(1)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Li(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(3)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-2°. In the second Mg site, Mg(2) 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 Na(1)O6 octahedra,  a cornercorner with one Li(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(7)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. 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(1)O6 octahedra, edges with two equivalent Mg(10)O6 octahedra, edges with two equivalent Li(1)O5 square pyramids, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 1-5°. 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 Na(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 1-13°. 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 Na(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 0-7°. 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, edges with two equivalent Li(1)O5 square pyramids, and edges with two equivalent Mg(2)O5 square pyramids. The corner-sharing octahedral tilt angles range from 3-4°. 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(6)O6 octahedra, corners with two equivalent Mg(7)O6 octahedra, corners with two equivalent Mg(8)O6 octahedra, edges with two equivalent Na(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 0-7°. 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 Li(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 Na(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(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-16°. 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 Na(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 Li(1)O5 square pyramid, and  an edgeedge with one Mg(2)O5 square pyramid. The corner-sharing octahedral tilt angles range from 2-4°. There are eleven inequivalent O sites. In the first O site, O(1) is bonded to one Na(1), one Mg(1), two equivalent Mg(6), and two equivalent Mg(9) atoms to form ONaMg5 octahedra that share corners with two equivalent O(1)NaMg5 octahedra, corners with two equivalent O(3)NaMg5 octahedra, edges with two equivalent O(10)LiMg5 octahedra, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(9)Na2Mg4 octahedra, edges with two equivalent O(11)NaMg5 octahedra, and edges with four equivalent O(4)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the second O site, O(2) is bonded to one Li(1), one Mg(2), 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)NaMg5 octahedra, edges with two equivalent O(6)Li2Mg4 octahedra, edges with two equivalent O(10)LiMg5 octahedra, edges with two equivalent O(8)Mg6 octahedra, edges with two equivalent O(11)NaMg5 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the third O site, O(3) is bonded to one Na(1), one Mg(1), 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(1)NaMg5 octahedra, corners with two equivalent O(3)NaMg5 octahedra, edges with two equivalent O(10)LiMg5 octahedra, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(9)Na2Mg4 octahedra, edges with two equivalent O(11)NaMg5 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. 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)Mg6 octahedra,  an edgeedge with one O(8)Mg6 octahedra,  an edgeedge with one O(9)Na2Mg4 octahedra, edges with two equivalent O(10)LiMg5 octahedra, edges with two equivalent O(1)NaMg5 octahedra, and edges with two equivalent O(11)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 1-15°. 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)Mg6 octahedra,  an edgeedge with one O(8)Mg6 octahedra,  an edgeedge with one O(9)Na2Mg4 octahedra, edges with two equivalent O(10)LiMg5 octahedra, edges with two equivalent O(2)LiMg5 octahedra, edges with two equivalent O(11)NaMg5 octahedra, and edges with two equivalent O(3)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. 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)Mg6 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, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(10)LiMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-15°. In the seventh O site, O(7) is bonded to one Mg(6), one Mg(8), two equivalent Mg(1), and two equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(6)Li2Mg4 octahedra, corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(9)Na2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(1)NaMg5 octahedra, edges with two equivalent O(3)NaMg5 octahedra, and edges with four equivalent O(10)LiMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the eighth O site, O(8) is bonded to one Mg(5), one Mg(7), two equivalent Mg(2), 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)Na2Mg4 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)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-16°. In the ninth O site, O(9) is bonded to two equivalent Na(1), one Mg(6), one Mg(8), and two equivalent Mg(4) atoms to form ONa2Mg4 octahedra that share corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(8)Mg6 octahedra, corners with two equivalent O(9)Na2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(1)NaMg5 octahedra, edges with two equivalent O(3)NaMg5 octahedra, and edges with four equivalent O(11)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the tenth O site, O(10) is bonded to one Li(1), one Mg(1), one Mg(10), one Mg(9), and two equivalent Mg(3) atoms to form OLiMg5 octahedra that share corners with two equivalent O(11)NaMg5 octahedra, corners with four equivalent O(10)LiMg5 octahedra,  an edgeedge with one O(2)LiMg5 octahedra,  an edgeedge with one O(1)NaMg5 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)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 3-17°. In the eleventh O site, O(11) is bonded to one Na(1), one Mg(10), one Mg(2), one Mg(9), and two equivalent Mg(4) atoms to form ONaMg5 octahedra that share corners with two equivalent O(10)LiMg5 octahedra, corners with four equivalent O(11)NaMg5 octahedra,  an edgeedge with one O(2)LiMg5 octahedra,  an edgeedge with one O(1)NaMg5 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)Na2Mg4 octahedra. The corner-sharing octahedral tilt angles range from 6-18°.
NaLiMg14O15 crystallizes in the orthorhombic Pmm2 space group. Na(1) is bonded to one O(1), one O(3), two equivalent O(11), and two equivalent O(9) atoms to form NaO6 octahedra that share corners with two equivalent Na(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(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 range from 0-3°. The Na(1)-O(1) bond length is 2.27 Å. The Na(1)-O(3) bond length is 2.22 Å. Both Na(1)-O(11) bond lengths are 2.35 Å. Both Na(1)-O(9) bond lengths are 2.14 Å. Li(1) is bonded to one O(2), two equivalent O(10), and two equivalent O(6) atoms to form LiO5 square pyramids that share corners with two equivalent Mg(1)O6 octahedra,  a cornercorner with one Mg(2)O5 square pyramid, corners with two equivalent Li(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(3)O6 octahedra. The corner-sharing octahedral tilt angles are 9°. The Li(1)-O(2) bond length is 1.93 Å. Both Li(1)-O(10) bond lengths are 2.15 Å. Both Li(1)-O(6) bond lengths are 2.16 Å. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(3), two equivalent O(10), and two equivalent O(7) atoms to form MgO6 octahedra that share corners with two equivalent Na(1)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Li(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(3)O6 octahedra, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 0-2°. The Mg(1)-O(1) bond length is 2.04 Å. The Mg(1)-O(3) bond length is 2.00 Å. Both Mg(1)-O(10) bond lengths are 2.17 Å. Both Mg(1)-O(7) bond lengths are 2.14 Å. In the second Mg site, Mg(2) 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 Na(1)O6 octahedra,  a cornercorner with one Li(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(7)O6 octahedra, and edges with four equivalent Mg(4)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. The Mg(2)-O(2) bond length is 1.96 Å. Both Mg(2)-O(11) bond lengths are 1.99 Å. Both Mg(2)-O(8) 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(6)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 Li(1)O5 square pyramids, and edges with two equivalent Mg(9)O5 square pyramids. The corner-sharing octahedral tilt angles range from 1-5°. The Mg(3)-O(4) bond length is 2.12 Å. The Mg(3)-O(5) bond length is 2.15 Å. The Mg(3)-O(6) bond length is 2.12 Å. The Mg(3)-O(7) bond length is 2.20 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(6)O6 octahedra,  an edgeedge with one Mg(7)O6 octahedra,  an edgeedge with one Mg(8)O6 octahedra, edges with two equivalent Na(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 1-13°. 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 2.18 Å. The Mg(4)-O(9) bond length is 2.13 Å. Both Mg(4)-O(11) bond lengths are 2.15 Å. 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. The Mg(5)-O(6) bond length is 2.00 Å. The Mg(5)-O(8) bond length is 2.06 Å. Both Mg(5)-O(4) bond lengths are 2.08 Å. 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 Na(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 0-7°. The Mg(6)-O(7) bond length is 2.12 Å. The Mg(6)-O(9) bond length is 2.09 Å. Both Mg(6)-O(1) bond lengths are 2.14 Å. Both Mg(6)-O(4) bond lengths are 2.23 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(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 Li(1)O5 square pyramids, and edges with two equivalent Mg(2)O5 square pyramids. The corner-sharing octahedral tilt angles range from 3-4°. The Mg(7)-O(6) bond length is 2.13 Å. The Mg(7)-O(8) bond length is 2.34 Å. Both Mg(7)-O(2) bond lengths are 2.14 Å. Both Mg(7)-O(5) bond lengths are 2.13 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(6)O6 octahedra, corners with two equivalent Mg(7)O6 octahedra, corners with two equivalent Mg(8)O6 octahedra, edges with two equivalent Na(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 0-7°. The Mg(8)-O(7) bond length is 2.18 Å. The Mg(8)-O(9) bond length is 2.14 Å. Both Mg(8)-O(3) bond lengths are 2.14 Å. Both Mg(8)-O(5) bond lengths are 2.18 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 Li(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 Na(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(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-16°. The Mg(9)-O(1) bond length is 1.96 Å. The Mg(9)-O(10) bond length is 2.07 Å. The Mg(9)-O(11) bond length is 2.06 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 Na(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 Li(1)O5 square pyramid, and  an edgeedge with one Mg(2)O5 square pyramid. The corner-sharing octahedral tilt angles range from 2-4°. The Mg(10)-O(10) bond length is 2.15 Å. The Mg(10)-O(11) bond length is 2.31 Å. The Mg(10)-O(2) bond length is 2.16 Å. The Mg(10)-O(3) bond length is 2.15 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 Na(1), one Mg(1), two equivalent Mg(6), and two equivalent Mg(9) atoms to form ONaMg5 octahedra that share corners with two equivalent O(1)NaMg5 octahedra, corners with two equivalent O(3)NaMg5 octahedra, edges with two equivalent O(10)LiMg5 octahedra, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(9)Na2Mg4 octahedra, edges with two equivalent O(11)NaMg5 octahedra, and edges with four equivalent O(4)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the second O site, O(2) is bonded to one Li(1), one Mg(2), 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)NaMg5 octahedra, edges with two equivalent O(6)Li2Mg4 octahedra, edges with two equivalent O(10)LiMg5 octahedra, edges with two equivalent O(8)Mg6 octahedra, edges with two equivalent O(11)NaMg5 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the third O site, O(3) is bonded to one Na(1), one Mg(1), 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(1)NaMg5 octahedra, corners with two equivalent O(3)NaMg5 octahedra, edges with two equivalent O(10)LiMg5 octahedra, edges with two equivalent O(7)Mg6 octahedra, edges with two equivalent O(9)Na2Mg4 octahedra, edges with two equivalent O(11)NaMg5 octahedra, and edges with four equivalent O(5)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. 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)Mg6 octahedra,  an edgeedge with one O(8)Mg6 octahedra,  an edgeedge with one O(9)Na2Mg4 octahedra, edges with two equivalent O(10)LiMg5 octahedra, edges with two equivalent O(1)NaMg5 octahedra, and edges with two equivalent O(11)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 1-15°. 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)Mg6 octahedra,  an edgeedge with one O(8)Mg6 octahedra,  an edgeedge with one O(9)Na2Mg4 octahedra, edges with two equivalent O(10)LiMg5 octahedra, edges with two equivalent O(2)LiMg5 octahedra, edges with two equivalent O(11)NaMg5 octahedra, and edges with two equivalent O(3)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. 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)Mg6 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, edges with two equivalent O(5)Mg6 octahedra, and edges with four equivalent O(10)LiMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-15°. In the seventh O site, O(7) is bonded to one Mg(6), one Mg(8), two equivalent Mg(1), and two equivalent Mg(3) atoms to form OMg6 octahedra that share corners with two equivalent O(6)Li2Mg4 octahedra, corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(9)Na2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(1)NaMg5 octahedra, edges with two equivalent O(3)NaMg5 octahedra, and edges with four equivalent O(10)LiMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the eighth O site, O(8) is bonded to one Mg(5), one Mg(7), two equivalent Mg(2), 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)Na2Mg4 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)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-16°. In the ninth O site, O(9) is bonded to two equivalent Na(1), one Mg(6), one Mg(8), and two equivalent Mg(4) atoms to form ONa2Mg4 octahedra that share corners with two equivalent O(7)Mg6 octahedra, corners with two equivalent O(8)Mg6 octahedra, corners with two equivalent O(9)Na2Mg4 octahedra, edges with two equivalent O(4)Mg6 octahedra, edges with two equivalent O(5)Mg6 octahedra, edges with two equivalent O(1)NaMg5 octahedra, edges with two equivalent O(3)NaMg5 octahedra, and edges with four equivalent O(11)NaMg5 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the tenth O site, O(10) is bonded to one Li(1), one Mg(1), one Mg(10), one Mg(9), and two equivalent Mg(3) atoms to form OLiMg5 octahedra that share corners with two equivalent O(11)NaMg5 octahedra, corners with four equivalent O(10)LiMg5 octahedra,  an edgeedge with one O(2)LiMg5 octahedra,  an edgeedge with one O(1)NaMg5 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)Mg6 octahedra. The corner-sharing octahedral tilt angles range from 3-17°. In the eleventh O site, O(11) is bonded to one Na(1), one Mg(10), one Mg(2), one Mg(9), and two equivalent Mg(4) atoms to form ONaMg5 octahedra that share corners with two equivalent O(10)LiMg5 octahedra, corners with four equivalent O(11)NaMg5 octahedra,  an edgeedge with one O(2)LiMg5 octahedra,  an edgeedge with one O(1)NaMg5 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)Na2Mg4 octahedra. The corner-sharing octahedral tilt angles range from 6-18°.