Li4Cr2Mn5O12 crystallizes in the monoclinic P2_1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-14°. In the second Li site, Li(2) is bonded to one O(1), one O(10), one O(11), one O(12), one O(2), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-17°. In the third Li site, Li(3) is bonded to one O(1), one O(12), one O(4), one O(6), one O(7), and one O(8) atom to form LiO6 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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-14°. In the fourth Li site, Li(4) is bonded to one O(10), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-11°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(12), one O(4), one O(6), one O(7), and one O(8) atom to form CrO6 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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-17°. In the second Cr site, Cr(2) is bonded to one O(10), one O(11), one O(2), one O(3), one O(5), and one O(9) atom to form CrO6 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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-17°. There are five inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(10), one O(11), one O(2), one O(3), one O(5), and one O(9) atom to form MnO6 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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-14°. In the second Mn site, Mn(2) is bonded to one O(1), one O(12), one O(4), one O(6), one O(7), and one O(8) atom to form MnO6 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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. In the third Mn site, Mn(3) is bonded to one O(1), one O(10), one O(2), one O(7), one O(8), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-11°. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(11), one O(2), one O(3), one O(5), and one O(9) atom to form MnO6 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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. In the fifth Mn site, Mn(5) is bonded to one O(11), one O(12), one O(3), one O(4), one O(5), and one O(6) atom to form MnO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)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 Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-17°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(3), one Cr(1), one Mn(2), and one Mn(3) atom to form OLi2Mn2Cr square pyramids that share  a cornercorner with one O(9)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li3Mn2Cr octahedra,  a cornercorner with one O(8)Li3Mn2Cr octahedra,  a cornercorner with one O(4)Li2Mn2Cr square pyramid,  a cornercorner with one O(11)LiMn3Cr square pyramid, corners with two equivalent O(12)Li2Mn2Cr square pyramids, corners with two equivalent O(2)LiMn3Cr square pyramids,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(6)Li3Mn2Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra, edges with two equivalent O(8)Li3Mn2Cr octahedra,  an edgeedge with one O(12)Li2Mn2Cr square pyramid, and  an edgeedge with one O(4)Li2Mn2Cr square pyramid. The corner-sharing octahedral tilt angles range from 2-10°. In the second O site, O(2) is bonded to one Li(2), one Cr(2), one Mn(1), one Mn(3), and one Mn(4) atom to form OLiMn3Cr square pyramids that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(5)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(12)Li2Mn2Cr square pyramid,  a cornercorner with one O(3)LiMn3Cr square pyramid, corners with two equivalent O(1)Li2Mn2Cr square pyramids, corners with two equivalent O(11)LiMn3Cr square pyramids,  an edgeedge with one O(5)Li2Mn3Cr octahedra,  an edgeedge with one O(8)Li3Mn2Cr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(9)Li2Mn3Cr octahedra,  an edgeedge with one O(11)LiMn3Cr square pyramid, and  an edgeedge with one O(3)LiMn3Cr square pyramid. The corner-sharing octahedral tilt angles range from 4-7°. In the third O site, O(3) is bonded to one Li(1), one Cr(2), one Mn(1), one Mn(4), and one Mn(5) atom to form OLiMn3Cr square pyramids that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(5)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(12)Li2Mn2Cr square pyramid,  a cornercorner with one O(2)LiMn3Cr square pyramid, corners with two equivalent O(4)Li2Mn2Cr square pyramids, corners with two equivalent O(11)LiMn3Cr square pyramids,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(6)Li3Mn2Cr octahedra, edges with two equivalent O(5)Li2Mn3Cr octahedra, edges with two equivalent O(9)Li2Mn3Cr octahedra,  an edgeedge with one O(11)LiMn3Cr square pyramid, and  an edgeedge with one O(2)LiMn3Cr square pyramid. The corner-sharing octahedral tilt angles range from 3-9°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Cr(1), one Mn(2), and one Mn(5) atom to form OLi2Mn2Cr square pyramids that share  a cornercorner with one O(9)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li3Mn2Cr octahedra,  a cornercorner with one O(8)Li3Mn2Cr octahedra,  a cornercorner with one O(1)Li2Mn2Cr square pyramid,  a cornercorner with one O(11)LiMn3Cr square pyramid, corners with two equivalent O(12)Li2Mn2Cr square pyramids, corners with two equivalent O(3)LiMn3Cr square pyramids,  an edgeedge with one O(5)Li2Mn3Cr octahedra,  an edgeedge with one O(8)Li3Mn2Cr octahedra, edges with two equivalent O(6)Li3Mn2Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(1)Li2Mn2Cr square pyramid, and  an edgeedge with one O(12)Li2Mn2Cr square pyramid. The corner-sharing octahedral tilt angles range from 8-11°. In the fifth O site, O(5) is bonded to one Li(1), one Li(4), one Cr(2), one Mn(1), one Mn(4), and one Mn(5) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(9)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li3Mn2Cr octahedra,  a cornercorner with one O(8)Li3Mn2Cr octahedra,  a cornercorner with one O(12)Li2Mn2Cr square pyramid,  a cornercorner with one O(2)LiMn3Cr square pyramid,  a cornercorner with one O(3)LiMn3Cr square pyramid,  an edgeedge with one O(6)Li3Mn2Cr octahedra,  an edgeedge with one O(7)Li3Mn2Cr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(9)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li2Mn2Cr square pyramid,  an edgeedge with one O(2)LiMn3Cr square pyramid, edges with two equivalent O(11)LiMn3Cr square pyramids, and edges with two equivalent O(3)LiMn3Cr square pyramids. The corner-sharing octahedral tilt angles range from 1-5°. In the sixth O site, O(6) is bonded to one Li(1), one Li(3), one Li(4), one Cr(1), one Mn(2), and one Mn(5) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(5)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(1)Li2Mn2Cr square pyramid,  a cornercorner with one O(4)Li2Mn2Cr square pyramid,  a cornercorner with one O(11)LiMn3Cr square pyramid,  an edgeedge with one O(5)Li2Mn3Cr octahedra,  an edgeedge with one O(9)Li2Mn3Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra, edges with two equivalent O(8)Li3Mn2Cr octahedra,  an edgeedge with one O(1)Li2Mn2Cr square pyramid,  an edgeedge with one O(3)LiMn3Cr square pyramid, edges with two equivalent O(12)Li2Mn2Cr square pyramids, and edges with two equivalent O(4)Li2Mn2Cr square pyramids. The corner-sharing octahedral tilt angles range from 5-10°. In the seventh O site, O(7) is bonded to one Li(1), one Li(3), one Li(4), one Cr(1), one Mn(2), and one Mn(3) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(9)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li3Mn2Cr octahedra,  a cornercorner with one O(8)Li3Mn2Cr octahedra,  a cornercorner with one O(12)Li2Mn2Cr square pyramid,  a cornercorner with one O(2)LiMn3Cr square pyramid,  a cornercorner with one O(3)LiMn3Cr square pyramid,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(5)Li2Mn3Cr octahedra,  an edgeedge with one O(9)Li2Mn3Cr octahedra, edges with two equivalent O(6)Li3Mn2Cr octahedra, edges with two equivalent O(8)Li3Mn2Cr octahedra,  an edgeedge with one O(12)Li2Mn2Cr square pyramid, edges with two equivalent O(1)Li2Mn2Cr square pyramids, and edges with two equivalent O(4)Li2Mn2Cr square pyramids. The corner-sharing octahedral tilt angles range from 3-6°. In the eighth O site, O(8) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Mn(2), and one Mn(3) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(5)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(1)Li2Mn2Cr square pyramid,  a cornercorner with one O(4)Li2Mn2Cr square pyramid,  a cornercorner with one O(11)LiMn3Cr square pyramid,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(9)Li2Mn3Cr octahedra, edges with two equivalent O(6)Li3Mn2Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(4)Li2Mn2Cr square pyramid,  an edgeedge with one O(2)LiMn3Cr square pyramid, edges with two equivalent O(1)Li2Mn2Cr square pyramids, and edges with two equivalent O(12)Li2Mn2Cr square pyramids. The corner-sharing octahedral tilt angles range from 3-5°. In the ninth O site, O(9) is bonded to one Li(1), one Li(4), one Cr(2), one Mn(1), one Mn(3), and one Mn(4) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(5)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(1)Li2Mn2Cr square pyramid,  a cornercorner with one O(4)Li2Mn2Cr square pyramid,  a cornercorner with one O(11)LiMn3Cr square pyramid,  an edgeedge with one O(6)Li3Mn2Cr octahedra,  an edgeedge with one O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(8)Li3Mn2Cr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(5)Li2Mn3Cr octahedra,  an edgeedge with one O(11)LiMn3Cr square pyramid, edges with two equivalent O(2)LiMn3Cr square pyramids, and edges with two equivalent O(3)LiMn3Cr square pyramids. The corner-sharing octahedral tilt angles range from 1-4°. In the tenth O site, O(10) is bonded to one Li(2), one Li(4), one Cr(2), one Mn(1), one Mn(3), and one Mn(4) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(9)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li3Mn2Cr octahedra,  a cornercorner with one O(8)Li3Mn2Cr octahedra,  a cornercorner with one O(12)Li2Mn2Cr square pyramid,  a cornercorner with one O(2)LiMn3Cr square pyramid,  a cornercorner with one O(3)LiMn3Cr square pyramid,  an edgeedge with one O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(8)Li3Mn2Cr octahedra, edges with two equivalent O(5)Li2Mn3Cr octahedra, edges with two equivalent O(9)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li2Mn2Cr square pyramid,  an edgeedge with one O(3)LiMn3Cr square pyramid, edges with two equivalent O(11)LiMn3Cr square pyramids, and edges with two equivalent O(2)LiMn3Cr square pyramids. The corner-sharing octahedral tilt angles range from 2-10°. In the eleventh O site, O(11) is bonded to one Li(2), one Cr(2), one Mn(1), one Mn(4), and one Mn(5) atom to form OLiMn3Cr square pyramids that share  a cornercorner with one O(9)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li3Mn2Cr octahedra,  a cornercorner with one O(8)Li3Mn2Cr octahedra,  a cornercorner with one O(1)Li2Mn2Cr square pyramid,  a cornercorner with one O(4)Li2Mn2Cr square pyramid, corners with two equivalent O(2)LiMn3Cr square pyramids, corners with two equivalent O(3)LiMn3Cr square pyramids,  an edgeedge with one O(9)Li2Mn3Cr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(5)Li2Mn3Cr octahedra,  an edgeedge with one O(12)Li2Mn2Cr square pyramid,  an edgeedge with one O(2)LiMn3Cr square pyramid, and  an edgeedge with one O(3)LiMn3Cr square pyramid. The corner-sharing octahedral tilt angles range from 4-10°. In the twelfth O site, O(12) is bonded to one Li(2), one Li(3), one Cr(1), one Mn(2), and one Mn(5) atom to form OLi2Mn2Cr square pyramids that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(5)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(2)LiMn3Cr square pyramid,  a cornercorner with one O(3)LiMn3Cr square pyramid, corners with two equivalent O(1)Li2Mn2Cr square pyramids, corners with two equivalent O(4)Li2Mn2Cr square pyramids,  an edgeedge with one O(7)Li3Mn2Cr octahedra, edges with two equivalent O(6)Li3Mn2Cr octahedra, edges with two equivalent O(8)Li3Mn2Cr octahedra,  an edgeedge with one O(1)Li2Mn2Cr square pyramid,  an edgeedge with one O(4)Li2Mn2Cr square pyramid, and  an edgeedge with one O(11)LiMn3Cr square pyramid. The corner-sharing octahedral tilt angles range from 2-5°.
Li4Cr2Mn5O12 crystallizes in the monoclinic P2_1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-14°. The Li(1)-O(3) bond length is 2.18 Å. The Li(1)-O(4) bond length is 2.02 Å. The Li(1)-O(5) bond length is 2.32 Å. The Li(1)-O(6) bond length is 2.14 Å. The Li(1)-O(7) bond length is 2.29 Å. The Li(1)-O(9) bond length is 2.34 Å. In the second Li site, Li(2) is bonded to one O(1), one O(10), one O(11), one O(12), one O(2), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-17°. The Li(2)-O(1) bond length is 2.15 Å. The Li(2)-O(10) bond length is 2.44 Å. The Li(2)-O(11) bond length is 2.29 Å. The Li(2)-O(12) bond length is 2.11 Å. The Li(2)-O(2) bond length is 2.36 Å. The Li(2)-O(8) bond length is 2.03 Å. In the third Li site, Li(3) is bonded to one O(1), one O(12), one O(4), one O(6), one O(7), and one O(8) atom to form LiO6 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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-14°. The Li(3)-O(1) bond length is 2.12 Å. The Li(3)-O(12) bond length is 2.04 Å. The Li(3)-O(4) bond length is 2.19 Å. The Li(3)-O(6) bond length is 2.22 Å. The Li(3)-O(7) bond length is 2.08 Å. The Li(3)-O(8) bond length is 2.28 Å. In the fourth Li site, Li(4) is bonded to one O(10), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-11°. The Li(4)-O(10) bond length is 2.17 Å. The Li(4)-O(5) bond length is 2.44 Å. The Li(4)-O(6) bond length is 2.14 Å. The Li(4)-O(7) bond length is 2.04 Å. The Li(4)-O(8) bond length is 2.23 Å. The Li(4)-O(9) bond length is 2.29 Å. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(12), one O(4), one O(6), one O(7), and one O(8) atom to form CrO6 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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-17°. The Cr(1)-O(1) bond length is 2.03 Å. The Cr(1)-O(12) bond length is 2.05 Å. The Cr(1)-O(4) bond length is 2.03 Å. The Cr(1)-O(6) bond length is 2.05 Å. The Cr(1)-O(7) bond length is 2.05 Å. The Cr(1)-O(8) bond length is 2.06 Å. In the second Cr site, Cr(2) is bonded to one O(10), one O(11), one O(2), one O(3), one O(5), and one O(9) atom to form CrO6 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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with three equivalent Mn(1)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-17°. The Cr(2)-O(10) bond length is 2.05 Å. The Cr(2)-O(11) bond length is 2.08 Å. The Cr(2)-O(2) bond length is 2.01 Å. The Cr(2)-O(3) bond length is 2.04 Å. The Cr(2)-O(5) bond length is 2.01 Å. The Cr(2)-O(9) bond length is 2.05 Å. There are five inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(10), one O(11), one O(2), one O(3), one O(5), and one O(9) atom to form MnO6 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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-14°. The Mn(1)-O(10) bond length is 2.24 Å. The Mn(1)-O(11) bond length is 2.02 Å. The Mn(1)-O(2) bond length is 2.01 Å. The Mn(1)-O(3) bond length is 1.94 Å. The Mn(1)-O(5) bond length is 1.98 Å. The Mn(1)-O(9) bond length is 2.23 Å. In the second Mn site, Mn(2) is bonded to one O(1), one O(12), one O(4), one O(6), one O(7), and one O(8) atom to form MnO6 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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. The Mn(2)-O(1) bond length is 1.97 Å. The Mn(2)-O(12) bond length is 2.01 Å. The Mn(2)-O(4) bond length is 1.98 Å. The Mn(2)-O(6) bond length is 1.98 Å. The Mn(2)-O(7) bond length is 2.00 Å. The Mn(2)-O(8) bond length is 2.01 Å. In the third Mn site, Mn(3) is bonded to one O(1), one O(10), one O(2), one O(7), one O(8), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-11°. The Mn(3)-O(1) bond length is 2.08 Å. The Mn(3)-O(10) bond length is 2.25 Å. The Mn(3)-O(2) bond length is 2.35 Å. The Mn(3)-O(7) bond length is 2.22 Å. The Mn(3)-O(8) bond length is 2.13 Å. The Mn(3)-O(9) bond length is 2.17 Å. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(11), one O(2), one O(3), one O(5), and one O(9) atom to form MnO6 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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. The Mn(4)-O(10) bond length is 2.01 Å. The Mn(4)-O(11) bond length is 1.96 Å. The Mn(4)-O(2) bond length is 2.03 Å. The Mn(4)-O(3) bond length is 2.23 Å. The Mn(4)-O(5) bond length is 2.21 Å. The Mn(4)-O(9) bond length is 1.96 Å. In the fifth Mn site, Mn(5) is bonded to one O(11), one O(12), one O(3), one O(4), one O(5), and one O(6) atom to form MnO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)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 Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-17°. The Mn(5)-O(11) bond length is 2.29 Å. The Mn(5)-O(12) bond length is 2.10 Å. The Mn(5)-O(3) bond length is 2.27 Å. The Mn(5)-O(4) bond length is 2.12 Å. The Mn(5)-O(5) bond length is 2.20 Å. The Mn(5)-O(6) bond length is 2.19 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(3), one Cr(1), one Mn(2), and one Mn(3) atom to form OLi2Mn2Cr square pyramids that share  a cornercorner with one O(9)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li3Mn2Cr octahedra,  a cornercorner with one O(8)Li3Mn2Cr octahedra,  a cornercorner with one O(4)Li2Mn2Cr square pyramid,  a cornercorner with one O(11)LiMn3Cr square pyramid, corners with two equivalent O(12)Li2Mn2Cr square pyramids, corners with two equivalent O(2)LiMn3Cr square pyramids,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(6)Li3Mn2Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra, edges with two equivalent O(8)Li3Mn2Cr octahedra,  an edgeedge with one O(12)Li2Mn2Cr square pyramid, and  an edgeedge with one O(4)Li2Mn2Cr square pyramid. The corner-sharing octahedral tilt angles range from 2-10°. In the second O site, O(2) is bonded to one Li(2), one Cr(2), one Mn(1), one Mn(3), and one Mn(4) atom to form OLiMn3Cr square pyramids that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(5)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(12)Li2Mn2Cr square pyramid,  a cornercorner with one O(3)LiMn3Cr square pyramid, corners with two equivalent O(1)Li2Mn2Cr square pyramids, corners with two equivalent O(11)LiMn3Cr square pyramids,  an edgeedge with one O(5)Li2Mn3Cr octahedra,  an edgeedge with one O(8)Li3Mn2Cr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(9)Li2Mn3Cr octahedra,  an edgeedge with one O(11)LiMn3Cr square pyramid, and  an edgeedge with one O(3)LiMn3Cr square pyramid. The corner-sharing octahedral tilt angles range from 4-7°. In the third O site, O(3) is bonded to one Li(1), one Cr(2), one Mn(1), one Mn(4), and one Mn(5) atom to form OLiMn3Cr square pyramids that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(5)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(12)Li2Mn2Cr square pyramid,  a cornercorner with one O(2)LiMn3Cr square pyramid, corners with two equivalent O(4)Li2Mn2Cr square pyramids, corners with two equivalent O(11)LiMn3Cr square pyramids,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(6)Li3Mn2Cr octahedra, edges with two equivalent O(5)Li2Mn3Cr octahedra, edges with two equivalent O(9)Li2Mn3Cr octahedra,  an edgeedge with one O(11)LiMn3Cr square pyramid, and  an edgeedge with one O(2)LiMn3Cr square pyramid. The corner-sharing octahedral tilt angles range from 3-9°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Cr(1), one Mn(2), and one Mn(5) atom to form OLi2Mn2Cr square pyramids that share  a cornercorner with one O(9)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li3Mn2Cr octahedra,  a cornercorner with one O(8)Li3Mn2Cr octahedra,  a cornercorner with one O(1)Li2Mn2Cr square pyramid,  a cornercorner with one O(11)LiMn3Cr square pyramid, corners with two equivalent O(12)Li2Mn2Cr square pyramids, corners with two equivalent O(3)LiMn3Cr square pyramids,  an edgeedge with one O(5)Li2Mn3Cr octahedra,  an edgeedge with one O(8)Li3Mn2Cr octahedra, edges with two equivalent O(6)Li3Mn2Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(1)Li2Mn2Cr square pyramid, and  an edgeedge with one O(12)Li2Mn2Cr square pyramid. The corner-sharing octahedral tilt angles range from 8-11°. In the fifth O site, O(5) is bonded to one Li(1), one Li(4), one Cr(2), one Mn(1), one Mn(4), and one Mn(5) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(9)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li3Mn2Cr octahedra,  a cornercorner with one O(8)Li3Mn2Cr octahedra,  a cornercorner with one O(12)Li2Mn2Cr square pyramid,  a cornercorner with one O(2)LiMn3Cr square pyramid,  a cornercorner with one O(3)LiMn3Cr square pyramid,  an edgeedge with one O(6)Li3Mn2Cr octahedra,  an edgeedge with one O(7)Li3Mn2Cr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(9)Li2Mn3Cr octahedra,  an edgeedge with one O(4)Li2Mn2Cr square pyramid,  an edgeedge with one O(2)LiMn3Cr square pyramid, edges with two equivalent O(11)LiMn3Cr square pyramids, and edges with two equivalent O(3)LiMn3Cr square pyramids. The corner-sharing octahedral tilt angles range from 1-5°. In the sixth O site, O(6) is bonded to one Li(1), one Li(3), one Li(4), one Cr(1), one Mn(2), and one Mn(5) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(5)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(1)Li2Mn2Cr square pyramid,  a cornercorner with one O(4)Li2Mn2Cr square pyramid,  a cornercorner with one O(11)LiMn3Cr square pyramid,  an edgeedge with one O(5)Li2Mn3Cr octahedra,  an edgeedge with one O(9)Li2Mn3Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra, edges with two equivalent O(8)Li3Mn2Cr octahedra,  an edgeedge with one O(1)Li2Mn2Cr square pyramid,  an edgeedge with one O(3)LiMn3Cr square pyramid, edges with two equivalent O(12)Li2Mn2Cr square pyramids, and edges with two equivalent O(4)Li2Mn2Cr square pyramids. The corner-sharing octahedral tilt angles range from 5-10°. In the seventh O site, O(7) is bonded to one Li(1), one Li(3), one Li(4), one Cr(1), one Mn(2), and one Mn(3) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(9)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li3Mn2Cr octahedra,  a cornercorner with one O(8)Li3Mn2Cr octahedra,  a cornercorner with one O(12)Li2Mn2Cr square pyramid,  a cornercorner with one O(2)LiMn3Cr square pyramid,  a cornercorner with one O(3)LiMn3Cr square pyramid,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(5)Li2Mn3Cr octahedra,  an edgeedge with one O(9)Li2Mn3Cr octahedra, edges with two equivalent O(6)Li3Mn2Cr octahedra, edges with two equivalent O(8)Li3Mn2Cr octahedra,  an edgeedge with one O(12)Li2Mn2Cr square pyramid, edges with two equivalent O(1)Li2Mn2Cr square pyramids, and edges with two equivalent O(4)Li2Mn2Cr square pyramids. The corner-sharing octahedral tilt angles range from 3-6°. In the eighth O site, O(8) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Mn(2), and one Mn(3) atom to form OLi3Mn2Cr octahedra that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(5)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(1)Li2Mn2Cr square pyramid,  a cornercorner with one O(4)Li2Mn2Cr square pyramid,  a cornercorner with one O(11)LiMn3Cr square pyramid,  an edgeedge with one O(10)Li2Mn3Cr octahedra,  an edgeedge with one O(9)Li2Mn3Cr octahedra, edges with two equivalent O(6)Li3Mn2Cr octahedra, edges with two equivalent O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(4)Li2Mn2Cr square pyramid,  an edgeedge with one O(2)LiMn3Cr square pyramid, edges with two equivalent O(1)Li2Mn2Cr square pyramids, and edges with two equivalent O(12)Li2Mn2Cr square pyramids. The corner-sharing octahedral tilt angles range from 3-5°. In the ninth O site, O(9) is bonded to one Li(1), one Li(4), one Cr(2), one Mn(1), one Mn(3), and one Mn(4) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(5)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(1)Li2Mn2Cr square pyramid,  a cornercorner with one O(4)Li2Mn2Cr square pyramid,  a cornercorner with one O(11)LiMn3Cr square pyramid,  an edgeedge with one O(6)Li3Mn2Cr octahedra,  an edgeedge with one O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(8)Li3Mn2Cr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(5)Li2Mn3Cr octahedra,  an edgeedge with one O(11)LiMn3Cr square pyramid, edges with two equivalent O(2)LiMn3Cr square pyramids, and edges with two equivalent O(3)LiMn3Cr square pyramids. The corner-sharing octahedral tilt angles range from 1-4°. In the tenth O site, O(10) is bonded to one Li(2), one Li(4), one Cr(2), one Mn(1), one Mn(3), and one Mn(4) atom to form OLi2Mn3Cr octahedra that share  a cornercorner with one O(9)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li3Mn2Cr octahedra,  a cornercorner with one O(8)Li3Mn2Cr octahedra,  a cornercorner with one O(12)Li2Mn2Cr square pyramid,  a cornercorner with one O(2)LiMn3Cr square pyramid,  a cornercorner with one O(3)LiMn3Cr square pyramid,  an edgeedge with one O(7)Li3Mn2Cr octahedra,  an edgeedge with one O(8)Li3Mn2Cr octahedra, edges with two equivalent O(5)Li2Mn3Cr octahedra, edges with two equivalent O(9)Li2Mn3Cr octahedra,  an edgeedge with one O(1)Li2Mn2Cr square pyramid,  an edgeedge with one O(3)LiMn3Cr square pyramid, edges with two equivalent O(11)LiMn3Cr square pyramids, and edges with two equivalent O(2)LiMn3Cr square pyramids. The corner-sharing octahedral tilt angles range from 2-10°. In the eleventh O site, O(11) is bonded to one Li(2), one Cr(2), one Mn(1), one Mn(4), and one Mn(5) atom to form OLiMn3Cr square pyramids that share  a cornercorner with one O(9)Li2Mn3Cr octahedra,  a cornercorner with one O(6)Li3Mn2Cr octahedra,  a cornercorner with one O(8)Li3Mn2Cr octahedra,  a cornercorner with one O(1)Li2Mn2Cr square pyramid,  a cornercorner with one O(4)Li2Mn2Cr square pyramid, corners with two equivalent O(2)LiMn3Cr square pyramids, corners with two equivalent O(3)LiMn3Cr square pyramids,  an edgeedge with one O(9)Li2Mn3Cr octahedra, edges with two equivalent O(10)Li2Mn3Cr octahedra, edges with two equivalent O(5)Li2Mn3Cr octahedra,  an edgeedge with one O(12)Li2Mn2Cr square pyramid,  an edgeedge with one O(2)LiMn3Cr square pyramid, and  an edgeedge with one O(3)LiMn3Cr square pyramid. The corner-sharing octahedral tilt angles range from 4-10°. In the twelfth O site, O(12) is bonded to one Li(2), one Li(3), one Cr(1), one Mn(2), and one Mn(5) atom to form OLi2Mn2Cr square pyramids that share  a cornercorner with one O(10)Li2Mn3Cr octahedra,  a cornercorner with one O(5)Li2Mn3Cr octahedra,  a cornercorner with one O(7)Li3Mn2Cr octahedra,  a cornercorner with one O(2)LiMn3Cr square pyramid,  a cornercorner with one O(3)LiMn3Cr square pyramid, corners with two equivalent O(1)Li2Mn2Cr square pyramids, corners with two equivalent O(4)Li2Mn2Cr square pyramids,  an edgeedge with one O(7)Li3Mn2Cr octahedra, edges with two equivalent O(6)Li3Mn2Cr octahedra, edges with two equivalent O(8)Li3Mn2Cr octahedra,  an edgeedge with one O(1)Li2Mn2Cr square pyramid,  an edgeedge with one O(4)Li2Mn2Cr square pyramid, and  an edgeedge with one O(11)LiMn3Cr square pyramid. The corner-sharing octahedral tilt angles range from 2-5°.