The structure described by Li4CrMnO6 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. There are sixteen inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(18), one O(19), one O(21), one O(4), one O(5), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  an edgeedge with one Li(15)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and edges with two equivalent Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the second Li site, Li(2) is bonded to one O(15), one O(19), one O(22), one O(23), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(13)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-11°. In the third Li site, Li(3) is bonded to one O(1), one O(12), one O(14), one O(15), one O(23), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(14)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(2)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 Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(12)O6 octahedra, and edges with two equivalent Li(13)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. In the fourth Li site, Li(4) is bonded to one O(1), one O(11), one O(12), one O(13), one O(2), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(14)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(10)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 Cr(1)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(11)O6 octahedra, and edges with two equivalent Li(13)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. In the fifth Li site, Li(5) is bonded to one O(10), one O(11), one O(15), one O(2), one O(22), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(14)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(14)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(3)O6 octahedra, edges with two equivalent Li(11)O6 octahedra, and edges with two equivalent Li(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-11°. In the sixth Li site, Li(6) is bonded to one O(1), one O(13), one O(14), one O(18), one O(4), and one O(5) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(13)O6 octahedra,  a cornercorner with one Li(15)O6 octahedra,  a cornercorner with one Li(16)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the seventh Li site, Li(7) is bonded to one O(17), one O(18), one O(19), one O(5), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(14)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Cr(4)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(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Li(16)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. In the eighth Li site, Li(8) is bonded to one O(16), one O(18), one O(21), one O(4), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(14)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Cr(4)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(10)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Li(15)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. In the ninth Li site, Li(9) is bonded to one O(16), one O(17), one O(20), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(14)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Cr(4)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(10)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)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(3)O6 octahedra, edges with two equivalent Li(15)O6 octahedra, and edges with two equivalent Li(16)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the tenth Li site, Li(10) is bonded to one O(11), one O(12), one O(20), one O(21), one O(24), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(15)O6 octahedra,  a cornercorner with one Li(16)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(15)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the eleventh Li site, Li(11) is bonded to one O(10), one O(11), one O(13), one O(2), one O(22), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(6)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,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the twelfth Li site, Li(12) is bonded to one O(10), one O(14), one O(15), one O(22), one O(23), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(6)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,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the thirteenth Li site, Li(13) is bonded to one O(1), one O(12), one O(13), one O(14), one O(23), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(6)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,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the fourteenth Li site, Li(14) is bonded to one O(10), one O(16), one O(17), one O(2), one O(3), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(15)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-11°. In the fifteenth Li site, Li(15) is bonded to one O(16), one O(20), one O(21), one O(4), one O(6), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, and edges with two equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the sixteenth Li site, Li(16) is bonded to one O(17), one O(19), one O(20), one O(5), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Li(15)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and edges with two equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(10), one O(13), one O(16), one O(2), one O(4), and one O(6) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(13)O6 octahedra,  a cornercorner with one Li(15)O6 octahedra,  a cornercorner with one Li(16)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(15)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(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(14)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the second Cr site, Cr(2) is bonded to one O(10), one O(14), one O(17), one O(3), one O(5), and one O(6) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(13)O6 octahedra,  a cornercorner with one Li(15)O6 octahedra,  a cornercorner with one Li(16)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(16)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 Li(9)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Li(14)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-9°. In the third Cr site, Cr(3) is bonded to one O(12), one O(15), one O(19), one O(21), one O(23), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(15)O6 octahedra,  a cornercorner with one Li(16)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the fourth Cr site, Cr(4) is bonded to one O(1), one O(13), one O(16), one O(18), one O(2), and one O(4) atom to form CrO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Li(15)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(11), one O(20), one O(22), one O(24), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(13)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(15)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-8°. In the second Mn site, Mn(2) is bonded to one O(12), one O(21), one O(23), one O(24), one O(7), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(13)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(15)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(8)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the third Mn site, Mn(3) is bonded to one O(11), one O(15), one O(19), one O(20), one O(22), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(15)O6 octahedra,  a cornercorner with one Li(16)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the fourth Mn site, Mn(4) is bonded to one O(1), one O(14), one O(17), one O(18), one O(3), and one O(5) atom to form MnO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-8°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Li(13), one Li(3), one Li(4), one Li(6), one Cr(4), and one Mn(4) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(16)Li4Cr2 octahedra,  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(12)Li4MnCr octahedra,  a cornercorner with one O(15)Li4MnCr octahedra,  a cornercorner with one O(17)Li4MnCr octahedra,  a cornercorner with one O(18)Li4MnCr octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(13)Li4Cr2 octahedra, and edges with two equivalent O(14)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 2-7°. In the second O site, O(2) is bonded to one Li(11), one Li(14), one Li(4), one Li(5), one Cr(1), and one Cr(4) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(16)Li4Cr2 octahedra,  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(12)Li4MnCr octahedra,  a cornercorner with one O(15)Li4MnCr octahedra,  a cornercorner with one O(17)Li4MnCr octahedra,  a cornercorner with one O(18)Li4MnCr octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra, edges with two equivalent O(10)Li4Cr2 octahedra, and edges with two equivalent O(13)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the third O site, O(3) is bonded to one Li(12), one Li(14), one Li(3), one Li(5), one Cr(2), and one Mn(4) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(16)Li4Cr2 octahedra,  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(12)Li4MnCr octahedra,  a cornercorner with one O(15)Li4MnCr octahedra,  a cornercorner with one O(17)Li4MnCr octahedra,  a cornercorner with one O(18)Li4MnCr octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(10)Li4Cr2 octahedra, and edges with two equivalent O(14)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the fourth O site, O(4) is bonded to one Li(1), one Li(15), one Li(6), one Li(8), one Cr(1), and one Cr(4) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(10)Li4Cr2 octahedra,  a cornercorner with one O(13)Li4Cr2 octahedra,  a cornercorner with one O(20)Li4Mn2 octahedra,  a cornercorner with one O(14)Li4MnCr octahedra,  a cornercorner with one O(19)Li4MnCr octahedra,  a cornercorner with one O(21)Li4MnCr octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(16)Li4Cr2 octahedra, and edges with two equivalent O(18)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the fifth O site, O(5) is bonded to one Li(1), one Li(16), one Li(6), one Li(7), one Cr(2), and one Mn(4) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(10)Li4Cr2 octahedra,  a cornercorner with one O(13)Li4Cr2 octahedra,  a cornercorner with one O(20)Li4Mn2 octahedra,  a cornercorner with one O(14)Li4MnCr octahedra,  a cornercorner with one O(19)Li4MnCr octahedra,  a cornercorner with one O(21)Li4MnCr octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(17)Li4MnCr octahedra, and edges with two equivalent O(18)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the sixth O site, O(6) is bonded to one Li(14), one Li(15), one Li(16), one Li(9), one Cr(1), and one Cr(2) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(10)Li4Cr2 octahedra,  a cornercorner with one O(13)Li4Cr2 octahedra,  a cornercorner with one O(20)Li4Mn2 octahedra,  a cornercorner with one O(14)Li4MnCr octahedra,  a cornercorner with one O(19)Li4MnCr octahedra,  a cornercorner with one O(21)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(3)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(16)Li4Cr2 octahedra, and edges with two equivalent O(17)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the seventh O site, O(7) is bonded to one Li(10), one Li(15), one Li(8), one Li(9), one Mn(1), and one Mn(2) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(16)Li4Cr2 octahedra,  a cornercorner with one O(22)Li4Mn2 octahedra,  a cornercorner with one O(24)Li4Mn2 octahedra,  a cornercorner with one O(17)Li4MnCr octahedra,  a cornercorner with one O(18)Li4MnCr octahedra,  a cornercorner with one O(23)Li4MnCr octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(20)Li4Mn2 octahedra, and edges with two equivalent O(21)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the eighth O site, O(8) is bonded to one Li(16), one Li(2), one Li(7), one Li(9), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(16)Li4Cr2 octahedra,  a cornercorner with one O(22)Li4Mn2 octahedra,  a cornercorner with one O(24)Li4Mn2 octahedra,  a cornercorner with one O(17)Li4MnCr octahedra,  a cornercorner with one O(18)Li4MnCr octahedra,  a cornercorner with one O(23)Li4MnCr octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(20)Li4Mn2 octahedra, and edges with two equivalent O(19)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the ninth O site, O(9) is bonded to one Li(1), one Li(2), one Li(7), one Li(8), one Cr(3), and one Mn(2) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(16)Li4Cr2 octahedra,  a cornercorner with one O(22)Li4Mn2 octahedra,  a cornercorner with one O(24)Li4Mn2 octahedra,  a cornercorner with one O(17)Li4MnCr octahedra,  a cornercorner with one O(18)Li4MnCr octahedra,  a cornercorner with one O(23)Li4MnCr octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(19)Li4MnCr octahedra, and edges with two equivalent O(21)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the tenth O site, O(10) is bonded to one Li(11), one Li(12), one Li(14), one Li(5), one Cr(1), and one Cr(2) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(4)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(22)Li4Mn2 octahedra,  a cornercorner with one O(24)Li4Mn2 octahedra,  a cornercorner with one O(23)Li4MnCr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(17)Li4MnCr octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, and edges with two equivalent O(3)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the eleventh O site, O(11) is bonded to one Li(10), one Li(11), one Li(4), one Li(5), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(20)Li4Mn2 octahedra,  a cornercorner with one O(1)Li4MnCr octahedra,  a cornercorner with one O(19)Li4MnCr octahedra,  a cornercorner with one O(21)Li4MnCr octahedra,  a cornercorner with one O(3)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(15)Li4MnCr octahedra, edges with two equivalent O(22)Li4Mn2 octahedra, and edges with two equivalent O(24)Li4Mn2 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the twelfth O site, O(12) is bonded to one Li(10), one Li(13), one Li(3), one Li(4), one Cr(3), and one Mn(2) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(20)Li4Mn2 octahedra,  a cornercorner with one O(1)Li4MnCr octahedra,  a cornercorner with one O(19)Li4MnCr octahedra,  a cornercorner with one O(21)Li4MnCr octahedra,  a cornercorner with one O(3)Li4MnCr octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(24)Li4Mn2 octahedra, and edges with two equivalent O(23)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the thirteenth O site, O(13) is bonded to one Li(11), one Li(13), one Li(4), one Li(6), one Cr(1), and one Cr(4) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(4)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(22)Li4Mn2 octahedra,  a cornercorner with one O(24)Li4Mn2 octahedra,  a cornercorner with one O(23)Li4MnCr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, and edges with two equivalent O(1)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the fourteenth O site, O(14) is bonded to one Li(12), one Li(13), one Li(3), one Li(6), one Cr(2), and one Mn(4) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(4)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(22)Li4Mn2 octahedra,  a cornercorner with one O(24)Li4Mn2 octahedra,  a cornercorner with one O(23)Li4MnCr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(1)Li4MnCr octahedra, and edges with two equivalent O(3)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the fifteenth O site, O(15) is bonded to one Li(12), one Li(2), one Li(3), one Li(5), one Cr(3), and one Mn(3) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(20)Li4Mn2 octahedra,  a cornercorner with one O(1)Li4MnCr octahedra,  a cornercorner with one O(19)Li4MnCr octahedra,  a cornercorner with one O(21)Li4MnCr octahedra,  a cornercorner with one O(3)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(22)Li4Mn2 octahedra, and edges with two equivalent O(23)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the sixteenth O site, O(16) is bonded to one Li(14), one Li(15), one Li(8), one Li(9), one Cr(1), and one Cr(4) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(7)Li4Mn2 octahedra,  a cornercorner with one O(8)Li4Mn2 octahedra,  a cornercorner with one O(1)Li4MnCr octahedra,  a cornercorner with one O(3)Li4MnCr octahedra,  a cornercorner with one O(9)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra, edges with two equivalent O(4)Li4Cr2 octahedra, and edges with two equivalent O(6)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the seventeenth O site, O(17) is bonded to one Li(14), one Li(16), one Li(7), one Li(9), one Cr(2), and one Mn(4) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(7)Li4Mn2 octahedra,  a cornercorner with one O(8)Li4Mn2 octahedra,  a cornercorner with one O(1)Li4MnCr octahedra,  a cornercorner with one O(3)Li4MnCr octahedra,  a cornercorner with one O(9)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra, edges with two equivalent O(6)Li4Cr2 octahedra, and edges with two equivalent O(5)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the eighteenth O site, O(18) is bonded to one Li(1), one Li(6), one Li(7), one Li(8), one Cr(4), and one Mn(4) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(7)Li4Mn2 octahedra,  a cornercorner with one O(8)Li4Mn2 octahedra,  a cornercorner with one O(1)Li4MnCr octahedra,  a cornercorner with one O(3)Li4MnCr octahedra,  a cornercorner with one O(9)Li4MnCr octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(4)Li4Cr2 octahedra, and edges with two equivalent O(5)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the nineteenth O site, O(19) is bonded to one Li(1), one Li(16), one Li(2), one Li(7), one Cr(3), and one Mn(3) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(4)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(12)Li4MnCr octahedra,  a cornercorner with one O(15)Li4MnCr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(8)Li4Mn2 octahedra, and edges with two equivalent O(9)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the twentieth O site, O(20) is bonded to one Li(10), one Li(15), one Li(16), one Li(9), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(4)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(12)Li4MnCr octahedra,  a cornercorner with one O(15)Li4MnCr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra, edges with two equivalent O(7)Li4Mn2 octahedra, and edges with two equivalent O(8)Li4Mn2 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the twenty-first O site, O(21) is bonded to one Li(1), one Li(10), one Li(15), one Li(8), one Cr(3), and one Mn(2) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(4)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(12)Li4MnCr octahedra,  a cornercorner with one O(15)Li4MnCr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra, edges with two equivalent O(7)Li4Mn2 octahedra, and edges with two equivalent O(9)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the twenty-second O site, O(22) is bonded to one Li(11), one Li(12), one Li(2), one Li(5), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(10)Li4Cr2 octahedra,  a cornercorner with one O(13)Li4Cr2 octahedra,  a cornercorner with one O(7)Li4Mn2 octahedra,  a cornercorner with one O(8)Li4Mn2 octahedra,  a cornercorner with one O(14)Li4MnCr octahedra,  a cornercorner with one O(9)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra, edges with two equivalent O(11)Li4Mn2 octahedra, and edges with two equivalent O(15)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the twenty-third O site, O(23) is bonded to one Li(12), one Li(13), one Li(2), one Li(3), one Cr(3), and one Mn(2) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(10)Li4Cr2 octahedra,  a cornercorner with one O(13)Li4Cr2 octahedra,  a cornercorner with one O(7)Li4Mn2 octahedra,  a cornercorner with one O(8)Li4Mn2 octahedra,  a cornercorner with one O(14)Li4MnCr octahedra,  a cornercorner with one O(9)Li4MnCr octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(12)Li4MnCr octahedra, and edges with two equivalent O(15)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the twenty-fourth O site, O(24) is bonded to one Li(10), one Li(11), one Li(13), one Li(4), one Mn(1), and one Mn(2) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(10)Li4Cr2 octahedra,  a cornercorner with one O(13)Li4Cr2 octahedra,  a cornercorner with one O(7)Li4Mn2 octahedra,  a cornercorner with one O(8)Li4Mn2 octahedra,  a cornercorner with one O(14)Li4MnCr octahedra,  a cornercorner with one O(9)Li4MnCr octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra, edges with two equivalent O(11)Li4Mn2 octahedra, and edges with two equivalent O(12)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4MnCrO6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.014
_cell_length_b   8.731
_cell_length_c   9.776
_cell_angle_alpha   98.542
_cell_angle_beta   94.550
_cell_angle_gamma   90.099
_symmetry_Int_Tables_number   1
_cell_volume   421.877
_cell_formula_units_Z   4
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Li  Li0  1  0.989  0.166  0.500  1.0
  Li  Li1  1  0.871  0.376  0.750  1.0
  Li  Li2  1  0.752  0.248  1.000  1.0
  Li  Li3  1  0.744  0.920  1.000  1.0
  Li  Li4  1  0.755  0.581  0.997  1.0
  Li  Li5  1  0.627  0.124  0.250  1.0
  Li  Li6  1  0.508  0.332  0.499  1.0
  Li  Li7  1  0.502  0.999  0.502  1.0
  Li  Li8  1  0.493  0.669  0.501  1.0
  Li  Li9  1  0.375  0.876  0.750  1.0
  Li  Li10  1  0.248  0.750  0.999  1.0
  Li  Li11  1  0.246  0.421  0.001  1.0
  Li  Li12  1  0.256  0.079  1.000  1.0
  Li  Li13  1  0.124  0.626  0.250  1.0
  Li  Li14  1  0.008  0.834  0.502  1.0
  Li  Li15  1  0.002  0.501  0.500  1.0
  Mn  Mn16  1  0.875  0.709  0.750  1.0
  Mn  Mn17  1  0.873  0.040  0.749  1.0
  Mn  Mn18  1  0.377  0.543  0.751  1.0
  Mn  Mn19  1  0.126  0.292  0.250  1.0
  Cr  Cr20  1  0.620  0.788  0.249  1.0
  Cr  Cr21  1  0.632  0.457  0.251  1.0
  Cr  Cr22  1  0.367  0.211  0.750  1.0
  Cr  Cr23  1  0.128  0.962  0.249  1.0
  O  O24  1  0.962  0.110  0.137  1.0
  O  O25  1  0.927  0.787  0.139  1.0
  O  O26  1  0.930  0.426  0.137  1.0
  O  O27  1  0.825  0.963  0.361  1.0
  O  O28  1  0.825  0.321  0.364  1.0
  O  O29  1  0.781  0.638  0.362  1.0
  O  O30  1  0.714  0.855  0.639  1.0
  O  O31  1  0.678  0.535  0.639  1.0
  O  O32  1  0.678  0.175  0.637  1.0
  O  O33  1  0.468  0.609  0.138  1.0
  O  O34  1  0.572  0.715  0.861  1.0
  O  O35  1  0.574  0.074  0.863  1.0
  O  O36  1  0.418  0.927  0.135  1.0
  O  O37  1  0.427  0.287  0.139  1.0
  O  O38  1  0.537  0.398  0.863  1.0
  O  O39  1  0.331  0.823  0.364  1.0
  O  O40  1  0.319  0.464  0.362  1.0
  O  O41  1  0.284  0.143  0.361  1.0
  O  O42  1  0.221  0.356  0.639  1.0
  O  O43  1  0.178  0.677  0.637  1.0
  O  O44  1  0.173  0.033  0.637  1.0
  O  O45  1  0.072  0.573  0.863  1.0
  O  O46  1  0.075  0.212  0.861  1.0
  O  O47  1  0.035  0.893  0.861  1.0
[/CIF]
.
The structure described by Li4CrMnO6 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. There are sixteen inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(18), one O(19), one O(21), one O(4), one O(5), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  an edgeedge with one Li(15)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and edges with two equivalent Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the second Li site, Li(2) is bonded to one O(15), one O(19), one O(22), one O(23), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(13)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-11°. In the third Li site, Li(3) is bonded to one O(1), one O(12), one O(14), one O(15), one O(23), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(14)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(2)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 Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(12)O6 octahedra, and edges with two equivalent Li(13)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. In the fourth Li site, Li(4) is bonded to one O(1), one O(11), one O(12), one O(13), one O(2), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(14)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(10)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 Cr(1)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(11)O6 octahedra, and edges with two equivalent Li(13)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. In the fifth Li site, Li(5) is bonded to one O(10), one O(11), one O(15), one O(2), one O(22), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(14)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(14)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(3)O6 octahedra, edges with two equivalent Li(11)O6 octahedra, and edges with two equivalent Li(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-11°. In the sixth Li site, Li(6) is bonded to one O(1), one O(13), one O(14), one O(18), one O(4), and one O(5) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(13)O6 octahedra,  a cornercorner with one Li(15)O6 octahedra,  a cornercorner with one Li(16)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Cr(4)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the seventh Li site, Li(7) is bonded to one O(17), one O(18), one O(19), one O(5), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(14)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Cr(4)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(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Li(16)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. In the eighth Li site, Li(8) is bonded to one O(16), one O(18), one O(21), one O(4), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(14)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Cr(4)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(10)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Li(15)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. In the ninth Li site, Li(9) is bonded to one O(16), one O(17), one O(20), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(14)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Cr(4)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(10)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)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(3)O6 octahedra, edges with two equivalent Li(15)O6 octahedra, and edges with two equivalent Li(16)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the tenth Li site, Li(10) is bonded to one O(11), one O(12), one O(20), one O(21), one O(24), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(15)O6 octahedra,  a cornercorner with one Li(16)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(15)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the eleventh Li site, Li(11) is bonded to one O(10), one O(11), one O(13), one O(2), one O(22), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(6)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,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the twelfth Li site, Li(12) is bonded to one O(10), one O(14), one O(15), one O(22), one O(23), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(6)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,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the thirteenth Li site, Li(13) is bonded to one O(1), one O(12), one O(13), one O(14), one O(23), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(6)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,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the fourteenth Li site, Li(14) is bonded to one O(10), one O(16), one O(17), one O(2), one O(3), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(15)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-11°. In the fifteenth Li site, Li(15) is bonded to one O(16), one O(20), one O(21), one O(4), one O(6), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, and edges with two equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the sixteenth Li site, Li(16) is bonded to one O(17), one O(19), one O(20), one O(5), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Li(15)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and edges with two equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(10), one O(13), one O(16), one O(2), one O(4), and one O(6) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(13)O6 octahedra,  a cornercorner with one Li(15)O6 octahedra,  a cornercorner with one Li(16)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(15)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(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(14)O6 octahedra, and edges with two equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the second Cr site, Cr(2) is bonded to one O(10), one O(14), one O(17), one O(3), one O(5), and one O(6) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(13)O6 octahedra,  a cornercorner with one Li(15)O6 octahedra,  a cornercorner with one Li(16)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(16)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 Li(9)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Li(14)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-9°. In the third Cr site, Cr(3) is bonded to one O(12), one O(15), one O(19), one O(21), one O(23), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(15)O6 octahedra,  a cornercorner with one Li(16)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the fourth Cr site, Cr(4) is bonded to one O(1), one O(13), one O(16), one O(18), one O(2), and one O(4) atom to form CrO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Li(15)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(11), one O(20), one O(22), one O(24), one O(7), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(13)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(15)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-8°. In the second Mn site, Mn(2) is bonded to one O(12), one O(21), one O(23), one O(24), one O(7), and one O(9) atom to form MnO6 octahedra that share  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(13)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(15)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(8)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, and edges with two equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the third Mn site, Mn(3) is bonded to one O(11), one O(15), one O(19), one O(20), one O(22), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(15)O6 octahedra,  a cornercorner with one Li(16)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the fourth Mn site, Mn(4) is bonded to one O(1), one O(14), one O(17), one O(18), one O(3), and one O(5) atom to form MnO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(13)O6 octahedra,  an edgeedge with one Li(14)O6 octahedra,  an edgeedge with one Li(16)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-8°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Li(13), one Li(3), one Li(4), one Li(6), one Cr(4), and one Mn(4) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(16)Li4Cr2 octahedra,  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(12)Li4MnCr octahedra,  a cornercorner with one O(15)Li4MnCr octahedra,  a cornercorner with one O(17)Li4MnCr octahedra,  a cornercorner with one O(18)Li4MnCr octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(13)Li4Cr2 octahedra, and edges with two equivalent O(14)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 2-7°. In the second O site, O(2) is bonded to one Li(11), one Li(14), one Li(4), one Li(5), one Cr(1), and one Cr(4) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(16)Li4Cr2 octahedra,  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(12)Li4MnCr octahedra,  a cornercorner with one O(15)Li4MnCr octahedra,  a cornercorner with one O(17)Li4MnCr octahedra,  a cornercorner with one O(18)Li4MnCr octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra, edges with two equivalent O(10)Li4Cr2 octahedra, and edges with two equivalent O(13)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the third O site, O(3) is bonded to one Li(12), one Li(14), one Li(3), one Li(5), one Cr(2), and one Mn(4) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(16)Li4Cr2 octahedra,  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(12)Li4MnCr octahedra,  a cornercorner with one O(15)Li4MnCr octahedra,  a cornercorner with one O(17)Li4MnCr octahedra,  a cornercorner with one O(18)Li4MnCr octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(10)Li4Cr2 octahedra, and edges with two equivalent O(14)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the fourth O site, O(4) is bonded to one Li(1), one Li(15), one Li(6), one Li(8), one Cr(1), and one Cr(4) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(10)Li4Cr2 octahedra,  a cornercorner with one O(13)Li4Cr2 octahedra,  a cornercorner with one O(20)Li4Mn2 octahedra,  a cornercorner with one O(14)Li4MnCr octahedra,  a cornercorner with one O(19)Li4MnCr octahedra,  a cornercorner with one O(21)Li4MnCr octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(16)Li4Cr2 octahedra, and edges with two equivalent O(18)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the fifth O site, O(5) is bonded to one Li(1), one Li(16), one Li(6), one Li(7), one Cr(2), and one Mn(4) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(10)Li4Cr2 octahedra,  a cornercorner with one O(13)Li4Cr2 octahedra,  a cornercorner with one O(20)Li4Mn2 octahedra,  a cornercorner with one O(14)Li4MnCr octahedra,  a cornercorner with one O(19)Li4MnCr octahedra,  a cornercorner with one O(21)Li4MnCr octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(17)Li4MnCr octahedra, and edges with two equivalent O(18)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the sixth O site, O(6) is bonded to one Li(14), one Li(15), one Li(16), one Li(9), one Cr(1), and one Cr(2) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(10)Li4Cr2 octahedra,  a cornercorner with one O(13)Li4Cr2 octahedra,  a cornercorner with one O(20)Li4Mn2 octahedra,  a cornercorner with one O(14)Li4MnCr octahedra,  a cornercorner with one O(19)Li4MnCr octahedra,  a cornercorner with one O(21)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(3)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(16)Li4Cr2 octahedra, and edges with two equivalent O(17)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the seventh O site, O(7) is bonded to one Li(10), one Li(15), one Li(8), one Li(9), one Mn(1), and one Mn(2) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(16)Li4Cr2 octahedra,  a cornercorner with one O(22)Li4Mn2 octahedra,  a cornercorner with one O(24)Li4Mn2 octahedra,  a cornercorner with one O(17)Li4MnCr octahedra,  a cornercorner with one O(18)Li4MnCr octahedra,  a cornercorner with one O(23)Li4MnCr octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(20)Li4Mn2 octahedra, and edges with two equivalent O(21)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the eighth O site, O(8) is bonded to one Li(16), one Li(2), one Li(7), one Li(9), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(16)Li4Cr2 octahedra,  a cornercorner with one O(22)Li4Mn2 octahedra,  a cornercorner with one O(24)Li4Mn2 octahedra,  a cornercorner with one O(17)Li4MnCr octahedra,  a cornercorner with one O(18)Li4MnCr octahedra,  a cornercorner with one O(23)Li4MnCr octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(20)Li4Mn2 octahedra, and edges with two equivalent O(19)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the ninth O site, O(9) is bonded to one Li(1), one Li(2), one Li(7), one Li(8), one Cr(3), and one Mn(2) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(16)Li4Cr2 octahedra,  a cornercorner with one O(22)Li4Mn2 octahedra,  a cornercorner with one O(24)Li4Mn2 octahedra,  a cornercorner with one O(17)Li4MnCr octahedra,  a cornercorner with one O(18)Li4MnCr octahedra,  a cornercorner with one O(23)Li4MnCr octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(19)Li4MnCr octahedra, and edges with two equivalent O(21)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the tenth O site, O(10) is bonded to one Li(11), one Li(12), one Li(14), one Li(5), one Cr(1), and one Cr(2) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(4)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(22)Li4Mn2 octahedra,  a cornercorner with one O(24)Li4Mn2 octahedra,  a cornercorner with one O(23)Li4MnCr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(17)Li4MnCr octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, and edges with two equivalent O(3)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the eleventh O site, O(11) is bonded to one Li(10), one Li(11), one Li(4), one Li(5), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(20)Li4Mn2 octahedra,  a cornercorner with one O(1)Li4MnCr octahedra,  a cornercorner with one O(19)Li4MnCr octahedra,  a cornercorner with one O(21)Li4MnCr octahedra,  a cornercorner with one O(3)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(15)Li4MnCr octahedra, edges with two equivalent O(22)Li4Mn2 octahedra, and edges with two equivalent O(24)Li4Mn2 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the twelfth O site, O(12) is bonded to one Li(10), one Li(13), one Li(3), one Li(4), one Cr(3), and one Mn(2) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(20)Li4Mn2 octahedra,  a cornercorner with one O(1)Li4MnCr octahedra,  a cornercorner with one O(19)Li4MnCr octahedra,  a cornercorner with one O(21)Li4MnCr octahedra,  a cornercorner with one O(3)Li4MnCr octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(24)Li4Mn2 octahedra, and edges with two equivalent O(23)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the thirteenth O site, O(13) is bonded to one Li(11), one Li(13), one Li(4), one Li(6), one Cr(1), and one Cr(4) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(4)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(22)Li4Mn2 octahedra,  a cornercorner with one O(24)Li4Mn2 octahedra,  a cornercorner with one O(23)Li4MnCr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra, edges with two equivalent O(2)Li4Cr2 octahedra, and edges with two equivalent O(1)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the fourteenth O site, O(14) is bonded to one Li(12), one Li(13), one Li(3), one Li(6), one Cr(2), and one Mn(4) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(4)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(22)Li4Mn2 octahedra,  a cornercorner with one O(24)Li4Mn2 octahedra,  a cornercorner with one O(23)Li4MnCr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(1)Li4MnCr octahedra, and edges with two equivalent O(3)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the fifteenth O site, O(15) is bonded to one Li(12), one Li(2), one Li(3), one Li(5), one Cr(3), and one Mn(3) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(20)Li4Mn2 octahedra,  a cornercorner with one O(1)Li4MnCr octahedra,  a cornercorner with one O(19)Li4MnCr octahedra,  a cornercorner with one O(21)Li4MnCr octahedra,  a cornercorner with one O(3)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(22)Li4Mn2 octahedra, and edges with two equivalent O(23)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the sixteenth O site, O(16) is bonded to one Li(14), one Li(15), one Li(8), one Li(9), one Cr(1), and one Cr(4) atom to form OLi4Cr2 octahedra that share  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(7)Li4Mn2 octahedra,  a cornercorner with one O(8)Li4Mn2 octahedra,  a cornercorner with one O(1)Li4MnCr octahedra,  a cornercorner with one O(3)Li4MnCr octahedra,  a cornercorner with one O(9)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra, edges with two equivalent O(4)Li4Cr2 octahedra, and edges with two equivalent O(6)Li4Cr2 octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the seventeenth O site, O(17) is bonded to one Li(14), one Li(16), one Li(7), one Li(9), one Cr(2), and one Mn(4) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(7)Li4Mn2 octahedra,  a cornercorner with one O(8)Li4Mn2 octahedra,  a cornercorner with one O(1)Li4MnCr octahedra,  a cornercorner with one O(3)Li4MnCr octahedra,  a cornercorner with one O(9)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra, edges with two equivalent O(6)Li4Cr2 octahedra, and edges with two equivalent O(5)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the eighteenth O site, O(18) is bonded to one Li(1), one Li(6), one Li(7), one Li(8), one Cr(4), and one Mn(4) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(2)Li4Cr2 octahedra,  a cornercorner with one O(7)Li4Mn2 octahedra,  a cornercorner with one O(8)Li4Mn2 octahedra,  a cornercorner with one O(1)Li4MnCr octahedra,  a cornercorner with one O(3)Li4MnCr octahedra,  a cornercorner with one O(9)Li4MnCr octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(4)Li4Cr2 octahedra, and edges with two equivalent O(5)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the nineteenth O site, O(19) is bonded to one Li(1), one Li(16), one Li(2), one Li(7), one Cr(3), and one Mn(3) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(4)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(12)Li4MnCr octahedra,  a cornercorner with one O(15)Li4MnCr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(15)Li4MnCr octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra,  an edgeedge with one O(5)Li4MnCr octahedra, edges with two equivalent O(8)Li4Mn2 octahedra, and edges with two equivalent O(9)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the twentieth O site, O(20) is bonded to one Li(10), one Li(15), one Li(16), one Li(9), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(4)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(12)Li4MnCr octahedra,  a cornercorner with one O(15)Li4MnCr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(6)Li4Cr2 octahedra,  an edgeedge with one O(11)Li4Mn2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(17)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra, edges with two equivalent O(7)Li4Mn2 octahedra, and edges with two equivalent O(8)Li4Mn2 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the twenty-first O site, O(21) is bonded to one Li(1), one Li(10), one Li(15), one Li(8), one Cr(3), and one Mn(2) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(4)Li4Cr2 octahedra,  a cornercorner with one O(6)Li4Cr2 octahedra,  a cornercorner with one O(11)Li4Mn2 octahedra,  a cornercorner with one O(12)Li4MnCr octahedra,  a cornercorner with one O(15)Li4MnCr octahedra,  a cornercorner with one O(5)Li4MnCr octahedra,  an edgeedge with one O(16)Li4Cr2 octahedra,  an edgeedge with one O(4)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(12)Li4MnCr octahedra,  an edgeedge with one O(18)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra, edges with two equivalent O(7)Li4Mn2 octahedra, and edges with two equivalent O(9)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the twenty-second O site, O(22) is bonded to one Li(11), one Li(12), one Li(2), one Li(5), one Mn(1), and one Mn(3) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(10)Li4Cr2 octahedra,  a cornercorner with one O(13)Li4Cr2 octahedra,  a cornercorner with one O(7)Li4Mn2 octahedra,  a cornercorner with one O(8)Li4Mn2 octahedra,  a cornercorner with one O(14)Li4MnCr octahedra,  a cornercorner with one O(9)Li4MnCr octahedra,  an edgeedge with one O(10)Li4Cr2 octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(8)Li4Mn2 octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra, edges with two equivalent O(11)Li4Mn2 octahedra, and edges with two equivalent O(15)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the twenty-third O site, O(23) is bonded to one Li(12), one Li(13), one Li(2), one Li(3), one Cr(3), and one Mn(2) atom to form OLi4MnCr octahedra that share  a cornercorner with one O(10)Li4Cr2 octahedra,  a cornercorner with one O(13)Li4Cr2 octahedra,  a cornercorner with one O(7)Li4Mn2 octahedra,  a cornercorner with one O(8)Li4Mn2 octahedra,  a cornercorner with one O(14)Li4MnCr octahedra,  a cornercorner with one O(9)Li4MnCr octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(24)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(14)Li4MnCr octahedra,  an edgeedge with one O(19)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra,  an edgeedge with one O(3)Li4MnCr octahedra,  an edgeedge with one O(9)Li4MnCr octahedra, edges with two equivalent O(12)Li4MnCr octahedra, and edges with two equivalent O(15)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the twenty-fourth O site, O(24) is bonded to one Li(10), one Li(11), one Li(13), one Li(4), one Mn(1), and one Mn(2) atom to form OLi4Mn2 octahedra that share  a cornercorner with one O(10)Li4Cr2 octahedra,  a cornercorner with one O(13)Li4Cr2 octahedra,  a cornercorner with one O(7)Li4Mn2 octahedra,  a cornercorner with one O(8)Li4Mn2 octahedra,  a cornercorner with one O(14)Li4MnCr octahedra,  a cornercorner with one O(9)Li4MnCr octahedra,  an edgeedge with one O(13)Li4Cr2 octahedra,  an edgeedge with one O(2)Li4Cr2 octahedra,  an edgeedge with one O(20)Li4Mn2 octahedra,  an edgeedge with one O(22)Li4Mn2 octahedra,  an edgeedge with one O(7)Li4Mn2 octahedra,  an edgeedge with one O(1)Li4MnCr octahedra,  an edgeedge with one O(21)Li4MnCr octahedra,  an edgeedge with one O(23)Li4MnCr octahedra, edges with two equivalent O(11)Li4Mn2 octahedra, and edges with two equivalent O(12)Li4MnCr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4MnCrO6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.014
_cell_length_b   8.731
_cell_length_c   9.776
_cell_angle_alpha   98.542
_cell_angle_beta   94.550
_cell_angle_gamma   90.099
_symmetry_Int_Tables_number   1
_cell_volume   421.877
_cell_formula_units_Z   4
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Li  Li0  1  0.989  0.166  0.500  1.0
  Li  Li1  1  0.871  0.376  0.750  1.0
  Li  Li2  1  0.752  0.248  1.000  1.0
  Li  Li3  1  0.744  0.920  1.000  1.0
  Li  Li4  1  0.755  0.581  0.997  1.0
  Li  Li5  1  0.627  0.124  0.250  1.0
  Li  Li6  1  0.508  0.332  0.499  1.0
  Li  Li7  1  0.502  0.999  0.502  1.0
  Li  Li8  1  0.493  0.669  0.501  1.0
  Li  Li9  1  0.375  0.876  0.750  1.0
  Li  Li10  1  0.248  0.750  0.999  1.0
  Li  Li11  1  0.246  0.421  0.001  1.0
  Li  Li12  1  0.256  0.079  1.000  1.0
  Li  Li13  1  0.124  0.626  0.250  1.0
  Li  Li14  1  0.008  0.834  0.502  1.0
  Li  Li15  1  0.002  0.501  0.500  1.0
  Mn  Mn16  1  0.875  0.709  0.750  1.0
  Mn  Mn17  1  0.873  0.040  0.749  1.0
  Mn  Mn18  1  0.377  0.543  0.751  1.0
  Mn  Mn19  1  0.126  0.292  0.250  1.0
  Cr  Cr20  1  0.620  0.788  0.249  1.0
  Cr  Cr21  1  0.632  0.457  0.251  1.0
  Cr  Cr22  1  0.367  0.211  0.750  1.0
  Cr  Cr23  1  0.128  0.962  0.249  1.0
  O  O24  1  0.962  0.110  0.137  1.0
  O  O25  1  0.927  0.787  0.139  1.0
  O  O26  1  0.930  0.426  0.137  1.0
  O  O27  1  0.825  0.963  0.361  1.0
  O  O28  1  0.825  0.321  0.364  1.0
  O  O29  1  0.781  0.638  0.362  1.0
  O  O30  1  0.714  0.855  0.639  1.0
  O  O31  1  0.678  0.535  0.639  1.0
  O  O32  1  0.678  0.175  0.637  1.0
  O  O33  1  0.468  0.609  0.138  1.0
  O  O34  1  0.572  0.715  0.861  1.0
  O  O35  1  0.574  0.074  0.863  1.0
  O  O36  1  0.418  0.927  0.135  1.0
  O  O37  1  0.427  0.287  0.139  1.0
  O  O38  1  0.537  0.398  0.863  1.0
  O  O39  1  0.331  0.823  0.364  1.0
  O  O40  1  0.319  0.464  0.362  1.0
  O  O41  1  0.284  0.143  0.361  1.0
  O  O42  1  0.221  0.356  0.639  1.0
  O  O43  1  0.178  0.677  0.637  1.0
  O  O44  1  0.173  0.033  0.637  1.0
  O  O45  1  0.072  0.573  0.863  1.0
  O  O46  1  0.075  0.212  0.861  1.0
  O  O47  1  0.035  0.893  0.861  1.0
[/CIF]
.