Li13Mg(Ni6O13)2 is beta Polonium-derived structured and crystallizes in the triclinic P-1 space group. There are seven inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(3), one O(5), one O(6), one O(7), and two equivalent O(4) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the second Li site, Li(2) is bonded to one O(1), one O(11), one O(2), one O(3), one O(5), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra, corners with three equivalent Ni(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the third Li site, Li(3) is bonded to one O(10), one O(11), one O(12), one O(2), and two equivalent O(8) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Ni(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the fourth Li site, Li(4) is bonded to one O(1), one O(10), one O(12), one O(3), one O(7), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra, corners with three equivalent Ni(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and edges with two equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the fifth Li site, Li(5) is bonded to one O(4), one O(5), one O(6), one O(9), and two equivalent O(13) atoms to form LiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra, corners with two equivalent Ni(5)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Ni(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the sixth Li site, Li(6) is bonded to one O(11), one O(12), one O(13), one O(6), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra, corners with two equivalent Ni(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and edges with two equivalent Ni(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the seventh Li site, Li(7) is bonded to two equivalent O(1), two equivalent O(10), and two equivalent O(2) atoms to form LiO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Ni(5)O6 octahedra, corners with two equivalent Ni(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. Mg(1) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(7) atoms to form MgO6 octahedra that share corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, corners with two equivalent Li(7)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-8°. There are six inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(1), one O(2), one O(4), one O(5), one O(6), and one O(8) atom to form NiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the second Ni site, Ni(2) is bonded to one O(10), one O(2), one O(4), one O(9), and two equivalent O(3) atoms to form NiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Ni(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the third Ni site, Ni(3) is bonded to one O(13), one O(5), one O(7), one O(8), and two equivalent O(11) atoms to form NiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. In the fourth Ni site, Ni(4) is bonded to one O(1), one O(10), one O(11), one O(13), one O(4), and one O(7) atom to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with three equivalent Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the fifth Ni site, Ni(5) is bonded to one O(2), one O(3), one O(6), one O(9), and two equivalent O(12) atoms to form NiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra, corners with two equivalent Li(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and edges with two equivalent Ni(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the sixth Ni site, Ni(6) is bonded to one O(10), one O(12), one O(13), one O(6), one O(8), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra, corners with two equivalent Li(6)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Ni(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(4), one Li(7), one Mg(1), one Ni(1), and one Ni(4) atom to form OLi3MgNi2 octahedra that share  a cornercorner with one O(12)Li3Ni3 octahedra,  a cornercorner with one O(13)Li3Ni3 octahedra,  a cornercorner with one O(6)Li3Ni3 octahedra,  a cornercorner with one O(9)Li3Ni3 octahedra, corners with two equivalent O(1)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra, edges with two equivalent O(5)Li3MgNi2 octahedra, edges with two equivalent O(7)Li3MgNi2 octahedra, edges with two equivalent O(10)Li3Ni3 octahedra, and edges with two equivalent O(2)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the second O site, O(2) is bonded to one Li(2), one Li(3), one Li(7), one Ni(1), one Ni(2), and one Ni(5) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(12)Li3Ni3 octahedra,  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(8)Li3Ni3 octahedra,  a cornercorner with one O(9)Li3Ni3 octahedra, corners with two equivalent O(5)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(12)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(6)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(1)Li3MgNi2 octahedra, edges with two equivalent O(10)Li3Ni3 octahedra, and edges with two equivalent O(3)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the third O site, O(3) is bonded to one Li(1), one Li(2), one Li(4), one Ni(5), and two equivalent Ni(2) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(10)Li3Ni3 octahedra,  a cornercorner with one O(11)Li3Ni3 octahedra,  a cornercorner with one O(12)Li3Ni3 octahedra,  a cornercorner with one O(8)Li3Ni3 octahedra, corners with two equivalent O(4)Li3Ni3 octahedra,  an edgeedge with one O(1)Li3MgNi2 octahedra,  an edgeedge with one O(5)Li3MgNi2 octahedra,  an edgeedge with one O(7)Li3MgNi2 octahedra,  an edgeedge with one O(10)Li3Ni3 octahedra,  an edgeedge with one O(12)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(6)Li3Ni3 octahedra, edges with two equivalent O(2)Li3Ni3 octahedra, and edges with two equivalent O(9)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to one Li(5), two equivalent Li(1), one Ni(1), one Ni(2), and one Ni(4) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(7)Li3MgNi2 octahedra,  a cornercorner with one O(11)Li3Ni3 octahedra,  a cornercorner with one O(13)Li3Ni3 octahedra,  a cornercorner with one O(8)Li3Ni3 octahedra, corners with two equivalent O(3)Li3Ni3 octahedra,  an edgeedge with one O(1)Li3MgNi2 octahedra,  an edgeedge with one O(7)Li3MgNi2 octahedra,  an edgeedge with one O(10)Li3Ni3 octahedra,  an edgeedge with one O(13)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(5)Li3MgNi2 octahedra, and edges with two equivalent O(6)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(5), one Mg(1), one Ni(1), and one Ni(3) atom to form OLi3MgNi2 octahedra that share  a cornercorner with one O(5)Li3MgNi2 octahedra,  a cornercorner with one O(11)Li3Ni3 octahedra,  a cornercorner with one O(13)Li3Ni3 octahedra,  a cornercorner with one O(6)Li3Ni3 octahedra, corners with two equivalent O(2)Li3Ni3 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(13)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(6)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(1)Li3MgNi2 octahedra, edges with two equivalent O(7)Li3MgNi2 octahedra, and edges with two equivalent O(4)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the sixth O site, O(6) is bonded to one Li(1), one Li(5), one Li(6), one Ni(1), one Ni(5), and one Ni(6) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(1)Li3MgNi2 octahedra,  a cornercorner with one O(5)Li3MgNi2 octahedra,  a cornercorner with one O(10)Li3Ni3 octahedra,  a cornercorner with one O(11)Li3Ni3 octahedra, corners with two equivalent O(9)Li3Ni3 octahedra,  an edgeedge with one O(5)Li3MgNi2 octahedra,  an edgeedge with one O(7)Li3MgNi2 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(12)Li3Ni3 octahedra, edges with two equivalent O(13)Li3Ni3 octahedra, and edges with two equivalent O(4)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the seventh O site, O(7) is bonded to one Li(1), one Li(4), one Li(6), one Mg(1), one Ni(3), and one Ni(4) atom to form OLi3MgNi2 octahedra that share  a cornercorner with one O(7)Li3MgNi2 octahedra,  a cornercorner with one O(13)Li3Ni3 octahedra,  a cornercorner with one O(4)Li3Ni3 octahedra,  a cornercorner with one O(9)Li3Ni3 octahedra, corners with two equivalent O(10)Li3Ni3 octahedra,  an edgeedge with one O(12)Li3Ni3 octahedra,  an edgeedge with one O(13)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(6)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra, edges with two equivalent O(1)Li3MgNi2 octahedra, edges with two equivalent O(5)Li3MgNi2 octahedra, and edges with two equivalent O(11)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eighth O site, O(8) is bonded to one Li(4), two equivalent Li(3), one Ni(1), one Ni(3), and one Ni(6) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(3)Li3Ni3 octahedra,  a cornercorner with one O(4)Li3Ni3 octahedra,  a cornercorner with one O(9)Li3Ni3 octahedra, corners with two equivalent O(11)Li3Ni3 octahedra,  an edgeedge with one O(1)Li3MgNi2 octahedra,  an edgeedge with one O(5)Li3MgNi2 octahedra,  an edgeedge with one O(7)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(13)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(6)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra, edges with two equivalent O(10)Li3Ni3 octahedra, and edges with two equivalent O(12)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the ninth O site, O(9) is bonded to one Li(2), one Li(5), one Li(6), one Ni(2), one Ni(5), and one Ni(6) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(1)Li3MgNi2 octahedra,  a cornercorner with one O(7)Li3MgNi2 octahedra,  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(8)Li3Ni3 octahedra, corners with two equivalent O(6)Li3Ni3 octahedra,  an edgeedge with one O(5)Li3MgNi2 octahedra,  an edgeedge with one O(10)Li3Ni3 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(6)Li3Ni3 octahedra, edges with two equivalent O(12)Li3Ni3 octahedra, edges with two equivalent O(13)Li3Ni3 octahedra, and edges with two equivalent O(3)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the tenth O site, O(10) is bonded to one Li(3), one Li(4), one Li(7), one Ni(2), one Ni(4), and one Ni(6) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(10)Li3Ni3 octahedra,  a cornercorner with one O(12)Li3Ni3 octahedra,  a cornercorner with one O(3)Li3Ni3 octahedra,  a cornercorner with one O(6)Li3Ni3 octahedra, corners with two equivalent O(7)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(12)Li3Ni3 octahedra,  an edgeedge with one O(13)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(1)Li3MgNi2 octahedra, edges with two equivalent O(2)Li3Ni3 octahedra, and edges with two equivalent O(8)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eleventh O site, O(11) is bonded to one Li(2), one Li(3), one Li(6), one Ni(4), and two equivalent Ni(3) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(5)Li3MgNi2 octahedra,  a cornercorner with one O(3)Li3Ni3 octahedra,  a cornercorner with one O(4)Li3Ni3 octahedra,  a cornercorner with one O(6)Li3Ni3 octahedra, corners with two equivalent O(8)Li3Ni3 octahedra,  an edgeedge with one O(1)Li3MgNi2 octahedra,  an edgeedge with one O(5)Li3MgNi2 octahedra,  an edgeedge with one O(10)Li3Ni3 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(12)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(7)Li3MgNi2 octahedra, and edges with two equivalent O(13)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the twelfth O site, O(12) is bonded to one Li(3), one Li(4), one Li(6), one Ni(6), and two equivalent Ni(5) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(1)Li3MgNi2 octahedra,  a cornercorner with one O(10)Li3Ni3 octahedra,  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(3)Li3Ni3 octahedra, corners with two equivalent O(13)Li3Ni3 octahedra,  an edgeedge with one O(7)Li3MgNi2 octahedra,  an edgeedge with one O(10)Li3Ni3 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(12)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(8)Li3Ni3 octahedra, and edges with two equivalent O(9)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the thirteenth O site, O(13) is bonded to one Li(6), two equivalent Li(5), one Ni(3), one Ni(4), and one Ni(6) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(1)Li3MgNi2 octahedra,  a cornercorner with one O(5)Li3MgNi2 octahedra,  a cornercorner with one O(7)Li3MgNi2 octahedra,  a cornercorner with one O(4)Li3Ni3 octahedra, corners with two equivalent O(12)Li3Ni3 octahedra,  an edgeedge with one O(5)Li3MgNi2 octahedra,  an edgeedge with one O(7)Li3MgNi2 octahedra,  an edgeedge with one O(10)Li3Ni3 octahedra,  an edgeedge with one O(13)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra, edges with two equivalent O(11)Li3Ni3 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, and edges with two equivalent O(9)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-3°.
Li13Mg(Ni6O13)2 is beta Polonium-derived structured and crystallizes in the triclinic P-1 space group. There are seven inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(3), one O(5), one O(6), one O(7), and two equivalent O(4) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. The Li(1)-O(3) bond length is 2.12 Å. The Li(1)-O(5) bond length is 2.14 Å. The Li(1)-O(6) bond length is 2.08 Å. The Li(1)-O(7) bond length is 2.12 Å. There is one shorter (2.10 Å) and one longer (2.13 Å) Li(1)-O(4) bond length. In the second Li site, Li(2) is bonded to one O(1), one O(11), one O(2), one O(3), one O(5), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra, corners with three equivalent Ni(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Li(2)-O(1) bond length is 2.12 Å. The Li(2)-O(11) bond length is 2.10 Å. The Li(2)-O(2) bond length is 2.10 Å. The Li(2)-O(3) bond length is 2.12 Å. The Li(2)-O(5) bond length is 2.13 Å. The Li(2)-O(9) bond length is 2.13 Å. In the third Li site, Li(3) is bonded to one O(10), one O(11), one O(12), one O(2), and two equivalent O(8) atoms to form LiO6 octahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Ni(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Li(3)-O(10) bond length is 2.12 Å. The Li(3)-O(11) bond length is 2.10 Å. The Li(3)-O(12) bond length is 2.13 Å. The Li(3)-O(2) bond length is 2.12 Å. There is one shorter (2.09 Å) and one longer (2.10 Å) Li(3)-O(8) bond length. In the fourth Li site, Li(4) is bonded to one O(1), one O(10), one O(12), one O(3), one O(7), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra, corners with three equivalent Ni(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and edges with two equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. The Li(4)-O(1) bond length is 2.12 Å. The Li(4)-O(10) bond length is 2.10 Å. The Li(4)-O(12) bond length is 2.13 Å. The Li(4)-O(3) bond length is 2.12 Å. The Li(4)-O(7) bond length is 2.12 Å. The Li(4)-O(8) bond length is 2.11 Å. In the fifth Li site, Li(5) is bonded to one O(4), one O(5), one O(6), one O(9), and two equivalent O(13) atoms to form LiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra, corners with two equivalent Ni(5)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Ni(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Li(5)-O(4) bond length is 2.10 Å. The Li(5)-O(5) bond length is 2.09 Å. The Li(5)-O(6) bond length is 2.11 Å. The Li(5)-O(9) bond length is 2.11 Å. There is one shorter (2.08 Å) and one longer (2.18 Å) Li(5)-O(13) bond length. In the sixth Li site, Li(6) is bonded to one O(11), one O(12), one O(13), one O(6), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra, corners with two equivalent Ni(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and edges with two equivalent Ni(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. The Li(6)-O(11) bond length is 2.13 Å. The Li(6)-O(12) bond length is 2.12 Å. The Li(6)-O(13) bond length is 2.11 Å. The Li(6)-O(6) bond length is 2.15 Å. The Li(6)-O(7) bond length is 1.98 Å. The Li(6)-O(9) bond length is 2.13 Å. In the seventh Li site, Li(7) is bonded to two equivalent O(1), two equivalent O(10), and two equivalent O(2) atoms to form LiO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Ni(5)O6 octahedra, corners with two equivalent Ni(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. Both Li(7)-O(1) bond lengths are 2.00 Å. Both Li(7)-O(10) bond lengths are 2.14 Å. Both Li(7)-O(2) bond lengths are 2.14 Å. Mg(1) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(7) atoms to form MgO6 octahedra that share corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, corners with two equivalent Li(7)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-8°. Both Mg(1)-O(1) bond lengths are 2.02 Å. Both Mg(1)-O(5) bond lengths are 2.11 Å. Both Mg(1)-O(7) bond lengths are 2.02 Å. There are six inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(1), one O(2), one O(4), one O(5), one O(6), and one O(8) atom to form NiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Ni(1)-O(1) bond length is 2.07 Å. The Ni(1)-O(2) bond length is 1.90 Å. The Ni(1)-O(4) bond length is 1.92 Å. The Ni(1)-O(5) bond length is 1.91 Å. The Ni(1)-O(6) bond length is 2.11 Å. The Ni(1)-O(8) bond length is 1.92 Å. In the second Ni site, Ni(2) is bonded to one O(10), one O(2), one O(4), one O(9), and two equivalent O(3) atoms to form NiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Ni(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Ni(2)-O(10) bond length is 2.10 Å. The Ni(2)-O(2) bond length is 1.91 Å. The Ni(2)-O(4) bond length is 1.90 Å. The Ni(2)-O(9) bond length is 1.91 Å. There is one shorter (1.91 Å) and one longer (2.11 Å) Ni(2)-O(3) bond length. In the third Ni site, Ni(3) is bonded to one O(13), one O(5), one O(7), one O(8), and two equivalent O(11) atoms to form NiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. The Ni(3)-O(13) bond length is 2.11 Å. The Ni(3)-O(5) bond length is 1.91 Å. The Ni(3)-O(7) bond length is 2.07 Å. The Ni(3)-O(8) bond length is 1.91 Å. There is one shorter (1.90 Å) and one longer (1.92 Å) Ni(3)-O(11) bond length. In the fourth Ni site, Ni(4) is bonded to one O(1), one O(10), one O(11), one O(13), one O(4), and one O(7) atom to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with three equivalent Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. The Ni(4)-O(1) bond length is 1.89 Å. The Ni(4)-O(10) bond length is 1.91 Å. The Ni(4)-O(11) bond length is 2.10 Å. The Ni(4)-O(13) bond length is 1.91 Å. The Ni(4)-O(4) bond length is 2.11 Å. The Ni(4)-O(7) bond length is 1.90 Å. In the fifth Ni site, Ni(5) is bonded to one O(2), one O(3), one O(6), one O(9), and two equivalent O(12) atoms to form NiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra, corners with two equivalent Li(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and edges with two equivalent Ni(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Ni(5)-O(2) bond length is 2.09 Å. The Ni(5)-O(3) bond length is 1.91 Å. The Ni(5)-O(6) bond length is 1.91 Å. The Ni(5)-O(9) bond length is 1.91 Å. There is one shorter (1.90 Å) and one longer (2.11 Å) Ni(5)-O(12) bond length. In the sixth Ni site, Ni(6) is bonded to one O(10), one O(12), one O(13), one O(6), one O(8), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra, corners with two equivalent Li(6)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Ni(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. The Ni(6)-O(10) bond length is 1.89 Å. The Ni(6)-O(12) bond length is 1.90 Å. The Ni(6)-O(13) bond length is 1.90 Å. The Ni(6)-O(6) bond length is 1.90 Å. The Ni(6)-O(8) bond length is 2.12 Å. The Ni(6)-O(9) bond length is 2.12 Å. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(4), one Li(7), one Mg(1), one Ni(1), and one Ni(4) atom to form OLi3MgNi2 octahedra that share  a cornercorner with one O(12)Li3Ni3 octahedra,  a cornercorner with one O(13)Li3Ni3 octahedra,  a cornercorner with one O(6)Li3Ni3 octahedra,  a cornercorner with one O(9)Li3Ni3 octahedra, corners with two equivalent O(1)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra, edges with two equivalent O(5)Li3MgNi2 octahedra, edges with two equivalent O(7)Li3MgNi2 octahedra, edges with two equivalent O(10)Li3Ni3 octahedra, and edges with two equivalent O(2)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the second O site, O(2) is bonded to one Li(2), one Li(3), one Li(7), one Ni(1), one Ni(2), and one Ni(5) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(12)Li3Ni3 octahedra,  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(8)Li3Ni3 octahedra,  a cornercorner with one O(9)Li3Ni3 octahedra, corners with two equivalent O(5)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(12)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(6)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(1)Li3MgNi2 octahedra, edges with two equivalent O(10)Li3Ni3 octahedra, and edges with two equivalent O(3)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the third O site, O(3) is bonded to one Li(1), one Li(2), one Li(4), one Ni(5), and two equivalent Ni(2) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(10)Li3Ni3 octahedra,  a cornercorner with one O(11)Li3Ni3 octahedra,  a cornercorner with one O(12)Li3Ni3 octahedra,  a cornercorner with one O(8)Li3Ni3 octahedra, corners with two equivalent O(4)Li3Ni3 octahedra,  an edgeedge with one O(1)Li3MgNi2 octahedra,  an edgeedge with one O(5)Li3MgNi2 octahedra,  an edgeedge with one O(7)Li3MgNi2 octahedra,  an edgeedge with one O(10)Li3Ni3 octahedra,  an edgeedge with one O(12)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(6)Li3Ni3 octahedra, edges with two equivalent O(2)Li3Ni3 octahedra, and edges with two equivalent O(9)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to one Li(5), two equivalent Li(1), one Ni(1), one Ni(2), and one Ni(4) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(7)Li3MgNi2 octahedra,  a cornercorner with one O(11)Li3Ni3 octahedra,  a cornercorner with one O(13)Li3Ni3 octahedra,  a cornercorner with one O(8)Li3Ni3 octahedra, corners with two equivalent O(3)Li3Ni3 octahedra,  an edgeedge with one O(1)Li3MgNi2 octahedra,  an edgeedge with one O(7)Li3MgNi2 octahedra,  an edgeedge with one O(10)Li3Ni3 octahedra,  an edgeedge with one O(13)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(5)Li3MgNi2 octahedra, and edges with two equivalent O(6)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(5), one Mg(1), one Ni(1), and one Ni(3) atom to form OLi3MgNi2 octahedra that share  a cornercorner with one O(5)Li3MgNi2 octahedra,  a cornercorner with one O(11)Li3Ni3 octahedra,  a cornercorner with one O(13)Li3Ni3 octahedra,  a cornercorner with one O(6)Li3Ni3 octahedra, corners with two equivalent O(2)Li3Ni3 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(13)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(6)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(1)Li3MgNi2 octahedra, edges with two equivalent O(7)Li3MgNi2 octahedra, and edges with two equivalent O(4)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the sixth O site, O(6) is bonded to one Li(1), one Li(5), one Li(6), one Ni(1), one Ni(5), and one Ni(6) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(1)Li3MgNi2 octahedra,  a cornercorner with one O(5)Li3MgNi2 octahedra,  a cornercorner with one O(10)Li3Ni3 octahedra,  a cornercorner with one O(11)Li3Ni3 octahedra, corners with two equivalent O(9)Li3Ni3 octahedra,  an edgeedge with one O(5)Li3MgNi2 octahedra,  an edgeedge with one O(7)Li3MgNi2 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(12)Li3Ni3 octahedra, edges with two equivalent O(13)Li3Ni3 octahedra, and edges with two equivalent O(4)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the seventh O site, O(7) is bonded to one Li(1), one Li(4), one Li(6), one Mg(1), one Ni(3), and one Ni(4) atom to form OLi3MgNi2 octahedra that share  a cornercorner with one O(7)Li3MgNi2 octahedra,  a cornercorner with one O(13)Li3Ni3 octahedra,  a cornercorner with one O(4)Li3Ni3 octahedra,  a cornercorner with one O(9)Li3Ni3 octahedra, corners with two equivalent O(10)Li3Ni3 octahedra,  an edgeedge with one O(12)Li3Ni3 octahedra,  an edgeedge with one O(13)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(6)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra, edges with two equivalent O(1)Li3MgNi2 octahedra, edges with two equivalent O(5)Li3MgNi2 octahedra, and edges with two equivalent O(11)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eighth O site, O(8) is bonded to one Li(4), two equivalent Li(3), one Ni(1), one Ni(3), and one Ni(6) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(3)Li3Ni3 octahedra,  a cornercorner with one O(4)Li3Ni3 octahedra,  a cornercorner with one O(9)Li3Ni3 octahedra, corners with two equivalent O(11)Li3Ni3 octahedra,  an edgeedge with one O(1)Li3MgNi2 octahedra,  an edgeedge with one O(5)Li3MgNi2 octahedra,  an edgeedge with one O(7)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(13)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(6)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra, edges with two equivalent O(10)Li3Ni3 octahedra, and edges with two equivalent O(12)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the ninth O site, O(9) is bonded to one Li(2), one Li(5), one Li(6), one Ni(2), one Ni(5), and one Ni(6) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(1)Li3MgNi2 octahedra,  a cornercorner with one O(7)Li3MgNi2 octahedra,  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(8)Li3Ni3 octahedra, corners with two equivalent O(6)Li3Ni3 octahedra,  an edgeedge with one O(5)Li3MgNi2 octahedra,  an edgeedge with one O(10)Li3Ni3 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(6)Li3Ni3 octahedra, edges with two equivalent O(12)Li3Ni3 octahedra, edges with two equivalent O(13)Li3Ni3 octahedra, and edges with two equivalent O(3)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the tenth O site, O(10) is bonded to one Li(3), one Li(4), one Li(7), one Ni(2), one Ni(4), and one Ni(6) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(10)Li3Ni3 octahedra,  a cornercorner with one O(12)Li3Ni3 octahedra,  a cornercorner with one O(3)Li3Ni3 octahedra,  a cornercorner with one O(6)Li3Ni3 octahedra, corners with two equivalent O(7)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(12)Li3Ni3 octahedra,  an edgeedge with one O(13)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(1)Li3MgNi2 octahedra, edges with two equivalent O(2)Li3Ni3 octahedra, and edges with two equivalent O(8)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eleventh O site, O(11) is bonded to one Li(2), one Li(3), one Li(6), one Ni(4), and two equivalent Ni(3) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(5)Li3MgNi2 octahedra,  a cornercorner with one O(3)Li3Ni3 octahedra,  a cornercorner with one O(4)Li3Ni3 octahedra,  a cornercorner with one O(6)Li3Ni3 octahedra, corners with two equivalent O(8)Li3Ni3 octahedra,  an edgeedge with one O(1)Li3MgNi2 octahedra,  an edgeedge with one O(5)Li3MgNi2 octahedra,  an edgeedge with one O(10)Li3Ni3 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(12)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra,  an edgeedge with one O(9)Li3Ni3 octahedra, edges with two equivalent O(7)Li3MgNi2 octahedra, and edges with two equivalent O(13)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the twelfth O site, O(12) is bonded to one Li(3), one Li(4), one Li(6), one Ni(6), and two equivalent Ni(5) atoms to form OLi3Ni3 octahedra that share  a cornercorner with one O(1)Li3MgNi2 octahedra,  a cornercorner with one O(10)Li3Ni3 octahedra,  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(3)Li3Ni3 octahedra, corners with two equivalent O(13)Li3Ni3 octahedra,  an edgeedge with one O(7)Li3MgNi2 octahedra,  an edgeedge with one O(10)Li3Ni3 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(12)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(3)Li3Ni3 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, edges with two equivalent O(8)Li3Ni3 octahedra, and edges with two equivalent O(9)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the thirteenth O site, O(13) is bonded to one Li(6), two equivalent Li(5), one Ni(3), one Ni(4), and one Ni(6) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(1)Li3MgNi2 octahedra,  a cornercorner with one O(5)Li3MgNi2 octahedra,  a cornercorner with one O(7)Li3MgNi2 octahedra,  a cornercorner with one O(4)Li3Ni3 octahedra, corners with two equivalent O(12)Li3Ni3 octahedra,  an edgeedge with one O(5)Li3MgNi2 octahedra,  an edgeedge with one O(7)Li3MgNi2 octahedra,  an edgeedge with one O(10)Li3Ni3 octahedra,  an edgeedge with one O(13)Li3Ni3 octahedra,  an edgeedge with one O(4)Li3Ni3 octahedra,  an edgeedge with one O(8)Li3Ni3 octahedra, edges with two equivalent O(11)Li3Ni3 octahedra, edges with two equivalent O(6)Li3Ni3 octahedra, and edges with two equivalent O(9)Li3Ni3 octahedra. The corner-sharing octahedral tilt angles range from 0-3°.