The structure described by Li5Cr5O12 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(13), one O(16), one O(22), one O(4), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra,  a cornercorner with one Cr(6)O6 octahedra,  a cornercorner with one Cr(7)O6 octahedra,  a cornercorner with one Cr(8)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra,  an edgeedge with one Cr(7)O6 octahedra,  an edgeedge with one Cr(8)O6 octahedra, and edges with three equivalent Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. In the second Li site, Li(2) is bonded to one O(14), one O(17), one O(19), one O(20), one O(24), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Cr(10)O6 octahedra,  a cornercorner with one Cr(6)O6 octahedra,  a cornercorner with one Cr(7)O6 octahedra,  a cornercorner with one Cr(8)O6 octahedra,  a cornercorner with one Cr(9)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Cr(10)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra,  an edgeedge with one Cr(7)O6 octahedra,  an edgeedge with one Cr(8)O6 octahedra,  an edgeedge with one Cr(9)O6 octahedra, and edges with three equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-15°. In the third Li site, Li(3) is bonded to one O(13), one O(16), one O(18), one O(4), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)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, edges with three equivalent Cr(4)O6 octahedra, and edges with three equivalent Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-13°. In the fourth Li site, Li(4) is bonded to one O(10), one O(15), one O(2), one O(21), one O(23), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(10)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(9)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(10)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(9)O6 octahedra, and edges with three equivalent Li(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-15°. In the fifth Li site, Li(5) is bonded to one O(1), one O(11), one O(12), one O(18), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, and edges with three equivalent Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-14°. In the sixth Li site, Li(6) is bonded to one O(1), one O(11), one O(12), one O(18), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, and edges with three equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. In the seventh Li site, Li(7) is bonded to one O(10), one O(14), one O(17), one O(21), one O(23), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, edges with three equivalent Cr(10)O6 octahedra, and edges with three equivalent Cr(9)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the eighth Li site, Li(8) is bonded to one O(13), one O(16), one O(22), one O(4), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra,  a cornercorner with one Cr(6)O6 octahedra,  a cornercorner with one Cr(7)O6 octahedra,  a cornercorner with one Cr(8)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra,  an edgeedge with one Cr(7)O6 octahedra,  an edgeedge with one Cr(8)O6 octahedra, and edges with three equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the ninth Li site, Li(9) is bonded to one O(14), one O(17), one O(19), one O(20), one O(24), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Cr(10)O6 octahedra,  a cornercorner with one Cr(6)O6 octahedra,  a cornercorner with one Cr(7)O6 octahedra,  a cornercorner with one Cr(8)O6 octahedra,  a cornercorner with one Cr(9)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Cr(10)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra,  an edgeedge with one Cr(7)O6 octahedra,  an edgeedge with one Cr(8)O6 octahedra,  an edgeedge with one Cr(9)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. In the tenth Li site, Li(10) is bonded to one O(10), one O(15), one O(2), one O(21), one O(23), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(10)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(9)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(10)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(9)O6 octahedra, and edges with three equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. There are ten inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(11), one O(12), one O(15), one O(2), and one O(3) atom to form CrO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  an edgeedge with one Li(10)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, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-11°. In the second Cr site, Cr(2) is bonded to one O(1), one O(11), one O(12), one O(15), one O(2), and one O(3) atom to form CrO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  an edgeedge with one Li(10)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, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(12), one O(15), one O(2), and one O(3) atom to form CrO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  an edgeedge with one Li(10)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, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-11°. In the fourth Cr site, Cr(4) is bonded to one O(13), one O(16), one O(18), one O(4), one O(5), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)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, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-14°. In the fifth Cr site, Cr(5) is bonded to one O(13), one O(16), one O(18), one O(4), one O(5), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)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, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-14°. In the sixth Cr site, Cr(6) is bonded to one O(19), one O(20), one O(22), one O(6), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, edges with three equivalent Cr(7)O6 octahedra, and edges with three equivalent Cr(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. In the seventh Cr site, Cr(7) is bonded to one O(19), one O(20), one O(22), one O(6), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, edges with three equivalent Cr(6)O6 octahedra, and edges with three equivalent Cr(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the eighth Cr site, Cr(8) is bonded to one O(19), one O(20), one O(22), one O(6), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, edges with three equivalent Cr(6)O6 octahedra, and edges with three equivalent Cr(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-11°. In the ninth Cr site, Cr(9) is bonded to one O(10), one O(14), one O(17), one O(21), one O(23), and one O(24) atom to form CrO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, edges with three equivalent Li(7)O6 octahedra, and edges with three equivalent Cr(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-15°. In the tenth Cr site, Cr(10) is bonded to one O(10), one O(14), one O(17), one O(21), one O(23), and one O(24) atom to form CrO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, edges with three equivalent Li(7)O6 octahedra, and edges with three equivalent Cr(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-15°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Li(5), one Li(6), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(11)Li2Cr3 square pyramid,  a cornercorner with one O(12)Li2Cr3 square pyramid,  a cornercorner with one O(15)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid, corners with two equivalent O(18)Li3Cr2 square pyramids, corners with two equivalent O(5)Li3Cr2 square pyramids,  an edgeedge with one O(15)Li2Cr3 square pyramid,  an edgeedge with one O(2)Li2Cr3 square pyramid,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(7)Li3Cr2 square pyramid, edges with two equivalent O(11)Li2Cr3 square pyramids, and edges with two equivalent O(12)Li2Cr3 square pyramids. In the second O site, O(2) is bonded to one Li(10), one Li(4), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(11)Li2Cr3 square pyramid,  a cornercorner with one O(12)Li2Cr3 square pyramid,  a cornercorner with one O(15)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid, corners with two equivalent O(10)Li3Cr2 square pyramids, corners with two equivalent O(21)Li3Cr2 square pyramids,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(11)Li2Cr3 square pyramid,  an edgeedge with one O(12)Li2Cr3 square pyramid,  an edgeedge with one O(23)Li3Cr2 square pyramid, edges with two equivalent O(15)Li2Cr3 square pyramids, and edges with two equivalent O(3)Li2Cr3 square pyramids. In the third O site, O(3) is bonded to one Li(10), one Li(4), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(11)Li2Cr3 square pyramid,  a cornercorner with one O(12)Li2Cr3 square pyramid,  a cornercorner with one O(15)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid, corners with two equivalent O(10)Li3Cr2 square pyramids, corners with two equivalent O(23)Li3Cr2 square pyramids,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(11)Li2Cr3 square pyramid,  an edgeedge with one O(12)Li2Cr3 square pyramid,  an edgeedge with one O(21)Li3Cr2 square pyramid, edges with two equivalent O(15)Li2Cr3 square pyramids, and edges with two equivalent O(2)Li2Cr3 square pyramids. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Li(8), one Cr(4), and one Cr(5) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(13)Li3Cr2 square pyramid,  a cornercorner with one O(16)Li3Cr2 square pyramid,  a cornercorner with one O(18)Li3Cr2 square pyramid,  a cornercorner with one O(5)Li3Cr2 square pyramid,  a cornercorner with one O(7)Li3Cr2 square pyramid, corners with two equivalent O(8)Li2Cr3 square pyramids, corners with two equivalent O(9)Li2Cr3 square pyramids,  an edgeedge with one O(22)Li2Cr3 square pyramid,  an edgeedge with one O(18)Li3Cr2 square pyramid,  an edgeedge with one O(5)Li3Cr2 square pyramid,  an edgeedge with one O(7)Li3Cr2 square pyramid, edges with two equivalent O(13)Li3Cr2 square pyramids, and edges with two equivalent O(16)Li3Cr2 square pyramids. In the fifth O site, O(5) is bonded to one Li(3), one Li(5), one Li(6), one Cr(4), and one Cr(5) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(13)Li3Cr2 square pyramid,  a cornercorner with one O(16)Li3Cr2 square pyramid,  a cornercorner with one O(18)Li3Cr2 square pyramid,  a cornercorner with one O(4)Li3Cr2 square pyramid,  a cornercorner with one O(7)Li3Cr2 square pyramid, corners with two equivalent O(1)Li2Cr3 square pyramids, corners with two equivalent O(12)Li2Cr3 square pyramids,  an edgeedge with one O(11)Li2Cr3 square pyramid,  an edgeedge with one O(13)Li3Cr2 square pyramid,  an edgeedge with one O(16)Li3Cr2 square pyramid,  an edgeedge with one O(4)Li3Cr2 square pyramid, edges with two equivalent O(18)Li3Cr2 square pyramids, and edges with two equivalent O(7)Li3Cr2 square pyramids. In the sixth O site, O(6) is bonded to one Li(2), one Li(9), one Cr(6), one Cr(7), and one Cr(8) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(19)Li2Cr3 square pyramid,  a cornercorner with one O(20)Li2Cr3 square pyramid,  a cornercorner with one O(22)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid,  a cornercorner with one O(9)Li2Cr3 square pyramid, corners with two equivalent O(14)Li3Cr2 square pyramids, corners with two equivalent O(17)Li3Cr2 square pyramids,  an edgeedge with one O(22)Li2Cr3 square pyramid,  an edgeedge with one O(8)Li2Cr3 square pyramid,  an edgeedge with one O(9)Li2Cr3 square pyramid,  an edgeedge with one O(24)Li3Cr2 square pyramid, edges with two equivalent O(19)Li2Cr3 square pyramids, and edges with two equivalent O(20)Li2Cr3 square pyramids. In the seventh O site, O(7) is bonded to one Li(3), one Li(5), one Li(6), one Cr(4), and one Cr(5) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(13)Li3Cr2 square pyramid,  a cornercorner with one O(16)Li3Cr2 square pyramid,  a cornercorner with one O(18)Li3Cr2 square pyramid,  a cornercorner with one O(4)Li3Cr2 square pyramid,  a cornercorner with one O(5)Li3Cr2 square pyramid, corners with two equivalent O(11)Li2Cr3 square pyramids, corners with two equivalent O(12)Li2Cr3 square pyramids,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(13)Li3Cr2 square pyramid,  an edgeedge with one O(16)Li3Cr2 square pyramid,  an edgeedge with one O(4)Li3Cr2 square pyramid, edges with two equivalent O(18)Li3Cr2 square pyramids, and edges with two equivalent O(5)Li3Cr2 square pyramids. In the eighth O site, O(8) is bonded to one Li(1), one Li(8), one Cr(6), one Cr(7), and one Cr(8) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(19)Li2Cr3 square pyramid,  a cornercorner with one O(20)Li2Cr3 square pyramid,  a cornercorner with one O(22)Li2Cr3 square pyramid,  a cornercorner with one O(6)Li2Cr3 square pyramid,  a cornercorner with one O(9)Li2Cr3 square pyramid, corners with two equivalent O(13)Li3Cr2 square pyramids, corners with two equivalent O(4)Li3Cr2 square pyramids,  an edgeedge with one O(19)Li2Cr3 square pyramid,  an edgeedge with one O(20)Li2Cr3 square pyramid,  an edgeedge with one O(6)Li2Cr3 square pyramid,  an edgeedge with one O(16)Li3Cr2 square pyramid, edges with two equivalent O(22)Li2Cr3 square pyramids, and edges with two equivalent O(9)Li2Cr3 square pyramids. In the ninth O site, O(9) is bonded to one Li(1), one Li(8), one Cr(6), one Cr(7), and one Cr(8) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(19)Li2Cr3 square pyramid,  a cornercorner with one O(20)Li2Cr3 square pyramid,  a cornercorner with one O(22)Li2Cr3 square pyramid,  a cornercorner with one O(6)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid, corners with two equivalent O(16)Li3Cr2 square pyramids, corners with two equivalent O(4)Li3Cr2 square pyramids,  an edgeedge with one O(19)Li2Cr3 square pyramid,  an edgeedge with one O(20)Li2Cr3 square pyramid,  an edgeedge with one O(6)Li2Cr3 square pyramid,  an edgeedge with one O(13)Li3Cr2 square pyramid, edges with two equivalent O(22)Li2Cr3 square pyramids, and edges with two equivalent O(8)Li2Cr3 square pyramids. In the tenth O site, O(10) is bonded to one Li(10), one Li(4), one Li(7), one Cr(10), and one Cr(9) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(14)Li3Cr2 square pyramid,  a cornercorner with one O(17)Li3Cr2 square pyramid,  a cornercorner with one O(21)Li3Cr2 square pyramid,  a cornercorner with one O(23)Li3Cr2 square pyramid,  a cornercorner with one O(24)Li3Cr2 square pyramid, corners with two equivalent O(2)Li2Cr3 square pyramids, corners with two equivalent O(3)Li2Cr3 square pyramids,  an edgeedge with one O(15)Li2Cr3 square pyramid,  an edgeedge with one O(14)Li3Cr2 square pyramid,  an edgeedge with one O(17)Li3Cr2 square pyramid,  an edgeedge with one O(24)Li3Cr2 square pyramid, edges with two equivalent O(21)Li3Cr2 square pyramids, and edges with two equivalent O(23)Li3Cr2 square pyramids. In the eleventh O site, O(11) is bonded to one Li(5), one Li(6), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(12)Li2Cr3 square pyramid,  a cornercorner with one O(15)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid, corners with two equivalent O(18)Li3Cr2 square pyramids, corners with two equivalent O(7)Li3Cr2 square pyramids,  an edgeedge with one O(15)Li2Cr3 square pyramid,  an edgeedge with one O(2)Li2Cr3 square pyramid,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(5)Li3Cr2 square pyramid, edges with two equivalent O(1)Li2Cr3 square pyramids, and edges with two equivalent O(12)Li2Cr3 square pyramids. In the twelfth O site, O(12) is bonded to one Li(5), one Li(6), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(11)Li2Cr3 square pyramid,  a cornercorner with one O(15)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid, corners with two equivalent O(5)Li3Cr2 square pyramids, corners with two equivalent O(7)Li3Cr2 square pyramids,  an edgeedge with one O(15)Li2Cr3 square pyramid,  an edgeedge with one O(2)Li2Cr3 square pyramid,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(18)Li3Cr2 square pyramid, edges with two equivalent O(1)Li2Cr3 square pyramids, and edges with two equivalent O(11)Li2Cr3 square pyramids. In the thirteenth O site, O(13) is bonded to one Li(1), one Li(3), one Li(8), one Cr(4), and one Cr(5) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(16)Li3Cr2 square pyramid,  a cornercorner with one O(18)Li3Cr2 square pyramid,  a cornercorner with one O(4)Li3Cr2 square pyramid,  a cornercorner with one O(5)Li3Cr2 square pyramid,  a cornercorner with one O(7)Li3Cr2 square pyramid, corners with two equivalent O(22)Li2Cr3 square pyramids, corners with two equivalent O(8)Li2Cr3 square pyramids,  an edgeedge with one O(9)Li2Cr3 square pyramid,  an edgeedge with one O(18)Li3Cr2 square pyramid,  an edgeedge with one O(5)Li3Cr2 square pyramid,  an edgeedge with one O(7)Li3Cr2 square pyramid, edges with two equivalent O(16)Li3Cr2 square pyramids, and edges with two equivalent O(4)Li3Cr2 square pyramids. In the fourteenth O site, O(14) is bonded to one Li(2), one Li(7), one Li(9), one Cr(10), and one Cr(9) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(10)Li3Cr2 square pyramid,  a cornercorner with one O(17)Li3Cr2 square pyramid,  a cornercorner with one O(21)Li3Cr2 square pyramid,  a cornercorner with one O(23)Li3Cr2 square pyramid,  a cornercorner with one O(24)Li3Cr2 square pyramid, corners with two equivalent O(19)Li2Cr3 square pyramids, corners with two equivalent O(6)Li2Cr3 square pyramids,  an edgeedge with one O(20)Li2Cr3 square pyramid,  an edgeedge with one O(10)Li3Cr2 square pyramid,  an edgeedge with one O(21)Li3Cr2 square pyramid,  an edgeedge with one O(23)Li3Cr2 square pyramid, edges with two equivalent O(17)Li3Cr2 square pyramids, and edges with two equivalent O(24)Li3Cr2 square pyramids. In the fifteenth O site, O(15) is bonded to one Li(10), one Li(4), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(11)Li2Cr3 square pyramid,  a cornercorner with one O(12)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid, corners with two equivalent O(21)Li3Cr2 square pyramids, corners with two equivalent O(23)Li3Cr2 square pyramids,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(11)Li2Cr3 square pyramid,  an edgeedge with one O(12)Li2Cr3 square pyramid,  an edgeedge with one O(10)Li3Cr2 square pyramid, edges with two equivalent O(2)Li2Cr3 square pyramids, and edges with two equivalent O(3)Li2Cr3 square pyramids. In the sixteenth O site, O(16) is bonded to one Li(1), one Li(3), one Li(8), one Cr(4), and one Cr(5) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(13)Li3Cr2 square pyramid,  a cornercorner with one O(18)Li3Cr2 square pyramid,  a cornercorner with one O(4)Li3Cr2 square pyramid,  a cornercorner with one O(5)Li3Cr2 square pyramid,  a cornercorner with one O(7)Li3Cr2 square pyramid, corners with two equivalent O(22)Li2Cr3 square pyramids, corners with two equivalent O(9)Li2Cr3 square pyramids,  an edgeedge with one O(8)Li2Cr3 square pyramid,  an edgeedge with one O(18)Li3Cr2 square pyramid,  an edgeedge with one O(5)Li3Cr2 square pyramid,  an edgeedge with one O(7)Li3Cr2 square pyramid, edges with two equivalent O(13)Li3Cr2 square pyramids, and edges with two equivalent O(4)Li3Cr2 square pyramids. In the seventeenth O site, O(17) is bonded to one Li(2), one Li(7), one Li(9), one Cr(10), and one Cr(9) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(10)Li3Cr2 square pyramid,  a cornercorner with one O(14)Li3Cr2 square pyramid,  a cornercorner with one O(21)Li3Cr2 square pyramid,  a cornercorner with one O(23)Li3Cr2 square pyramid,  a cornercorner with one O(24)Li3Cr2 square pyramid, corners with two equivalent O(20)Li2Cr3 square pyramids, corners with two equivalent O(6)Li2Cr3 square pyramids,  an edgeedge with one O(19)Li2Cr3 square pyramid,  an edgeedge with one O(10)Li3Cr2 square pyramid,  an edgeedge with one O(21)Li3Cr2 square pyramid,  an edgeedge with one O(23)Li3Cr2 square pyramid, edges with two equivalent O(14)Li3Cr2 square pyramids, and edges with two equivalent O(24)Li3Cr2 square pyramids. In the eighteenth O site, O(18) is bonded to one Li(3), one Li(5), one Li(6), one Cr(4), and one Cr(5) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(13)Li3Cr2 square pyramid,  a cornercorner with one O(16)Li3Cr2 square pyramid,  a cornercorner with one O(4)Li3Cr2 square pyramid,  a cornercorner with one O(5)Li3Cr2 square pyramid,  a cornercorner with one O(7)Li3Cr2 square pyramid, corners with two equivalent O(1)Li2Cr3 square pyramids, corners with two equivalent O(11)Li2Cr3 square pyramids,  an edgeedge with one O(12)Li2Cr3 square pyramid,  an edgeedge with one O(13)Li3Cr2 square pyramid,  an edgeedge with one O(16)Li3Cr2 square pyramid,  an edgeedge with one O(4)Li3Cr2 square pyramid, edges with two equivalent O(5)Li3Cr2 square pyramids, and edges with two equivalent O(7)Li3Cr2 square pyramids. In the nineteenth O site, O(19) is bonded to one Li(2), one Li(9), one Cr(6), one Cr(7), and one Cr(8) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(20)Li2Cr3 square pyramid,  a cornercorner with one O(22)Li2Cr3 square pyramid,  a cornercorner with one O(6)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid,  a cornercorner with one O(9)Li2Cr3 square pyramid, corners with two equivalent O(14)Li3Cr2 square pyramids, corners with two equivalent O(24)Li3Cr2 square pyramids,  an edgeedge with one O(22)Li2Cr3 square pyramid,  an edgeedge with one O(8)Li2Cr3 square pyramid,  an edgeedge with one O(9)Li2Cr3 square pyramid,  an edgeedge with one O(17)Li3Cr2 square pyramid, edges with two equivalent O(20)Li2Cr3 square pyramids, and edges with two equivalent O(6)Li2Cr3 square pyramids. In the twentieth O site, O(20) is bonded to one Li(2), one Li(9), one Cr(6), one Cr(7), and one Cr(8) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(19)Li2Cr3 square pyramid,  a cornercorner with one O(22)Li2Cr3 square pyramid,  a cornercorner with one O(6)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid,  a cornercorner with one O(9)Li2Cr3 square pyramid, corners with two equivalent O(17)Li3Cr2 square pyramids, corners with two equivalent O(24)Li3Cr2 square pyramids,  an edgeedge with one O(22)Li2Cr3 square pyramid,  an edgeedge with one O(8)Li2Cr3 square pyramid,  an edgeedge with one O(9)Li2Cr3 square pyramid,  an edgeedge with one O(14)Li3Cr2 square pyramid, edges with two equivalent O(19)Li2Cr3 square pyramids, and edges with two equivalent O(6)Li2Cr3 square pyramids. In the twenty-first O site, O(21) is bonded to one Li(10), one Li(4), one Li(7), one Cr(10), and one Cr(9) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(10)Li3Cr2 square pyramid,  a cornercorner with one O(14)Li3Cr2 square pyramid,  a cornercorner with one O(17)Li3Cr2 square pyramid,  a cornercorner with one O(23)Li3Cr2 square pyramid,  a cornercorner with one O(24)Li3Cr2 square pyramid, corners with two equivalent O(15)Li2Cr3 square pyramids, corners with two equivalent O(2)Li2Cr3 square pyramids,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(14)Li3Cr2 square pyramid,  an edgeedge with one O(17)Li3Cr2 square pyramid,  an edgeedge with one O(24)Li3Cr2 square pyramid, edges with two equivalent O(10)Li3Cr2 square pyramids, and edges with two equivalent O(23)Li3Cr2 square pyramids. In the twenty-second O site, O(22) is bonded to one Li(1), one Li(8), one Cr(6), one Cr(7), and one Cr(8) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(19)Li2Cr3 square pyramid,  a cornercorner with one O(20)Li2Cr3 square pyramid,  a cornercorner with one O(6)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid,  a cornercorner with one O(9)Li2Cr3 square pyramid, corners with two equivalent O(13)Li3Cr2 square pyramids, corners with two equivalent O(16)Li3Cr2 square pyramids,  an edgeedge with one O(19)Li2Cr3 square pyramid,  an edgeedge with one O(20)Li2Cr3 square pyramid,  an edgeedge with one O(6)Li2Cr3 square pyramid,  an edgeedge with one O(4)Li3Cr2 square pyramid, edges with two equivalent O(8)Li2Cr3 square pyramids, and edges with two equivalent O(9)Li2Cr3 square pyramids. In the twenty-third O site, O(23) is bonded to one Li(10), one Li(4), one Li(7), one Cr(10), and one Cr(9) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(10)Li3Cr2 square pyramid,  a cornercorner with one O(14)Li3Cr2 square pyramid,  a cornercorner with one O(17)Li3Cr2 square pyramid,  a cornercorner with one O(21)Li3Cr2 square pyramid,  a cornercorner with one O(24)Li3Cr2 square pyramid, corners with two equivalent O(15)Li2Cr3 square pyramids, corners with two equivalent O(3)Li2Cr3 square pyramids,  an edgeedge with one O(2)Li2Cr3 square pyramid,  an edgeedge with one O(14)Li3Cr2 square pyramid,  an edgeedge with one O(17)Li3Cr2 square pyramid,  an edgeedge with one O(24)Li3Cr2 square pyramid, edges with two equivalent O(10)Li3Cr2 square pyramids, and edges with two equivalent O(21)Li3Cr2 square pyramids. In the twenty-fourth O site, O(24) is bonded to one Li(2), one Li(7), one Li(9), one Cr(10), and one Cr(9) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(10)Li3Cr2 square pyramid,  a cornercorner with one O(14)Li3Cr2 square pyramid,  a cornercorner with one O(17)Li3Cr2 square pyramid,  a cornercorner with one O(21)Li3Cr2 square pyramid,  a cornercorner with one O(23)Li3Cr2 square pyramid, corners with two equivalent O(19)Li2Cr3 square pyramids, corners with two equivalent O(20)Li2Cr3 square pyramids,  an edgeedge with one O(6)Li2Cr3 square pyramid,  an edgeedge with one O(10)Li3Cr2 square pyramid,  an edgeedge with one O(21)Li3Cr2 square pyramid,  an edgeedge with one O(23)Li3Cr2 square pyramid, edges with two equivalent O(14)Li3Cr2 square pyramids, and edges with two equivalent O(17)Li3Cr2 square pyramids. is represented by the CIF file [CIF]
data_Li5Cr5O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.068
_cell_length_b   5.087
_cell_length_c   19.526
_cell_angle_alpha   87.810
_cell_angle_beta   94.561
_cell_angle_gamma   119.723
_symmetry_Int_Tables_number   1
_cell_volume   435.825
_cell_formula_units_Z   2
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  0.158  0.828  0.502  1.0
  Li  Li1  1  0.097  0.178  0.247  1.0
  Li  Li2  1  0.866  0.495  0.625  1.0
  Li  Li3  1  0.654  0.822  0.002  1.0
  Li  Li4  1  0.911  0.821  0.749  1.0
  Li  Li5  1  0.236  0.491  0.749  1.0
  Li  Li6  1  0.376  0.503  0.125  1.0
  Li  Li7  1  0.831  0.177  0.501  1.0
  Li  Li8  1  0.418  0.824  0.247  1.0
  Li  Li9  1  0.332  0.179  0.002  1.0
  Cr  Cr10  1  0.626  0.496  0.875  1.0
  Cr  Cr11  1  0.954  0.165  0.875  1.0
  Cr  Cr12  1  0.291  0.830  0.875  1.0
  Cr  Cr13  1  0.215  0.174  0.625  1.0
  Cr  Cr14  1  0.558  0.841  0.625  1.0
  Cr  Cr15  1  0.124  0.498  0.375  1.0
  Cr  Cr16  1  0.459  0.168  0.375  1.0
  Cr  Cr17  1  0.788  0.826  0.375  1.0
  Cr  Cr18  1  0.709  0.170  0.125  1.0
  Cr  Cr19  1  0.043  0.836  0.125  1.0
  O  O20  1  0.613  0.831  0.821  1.0
  O  O21  1  0.643  0.158  0.928  1.0
  O  O22  1  0.308  0.490  0.930  1.0
  O  O23  1  0.498  0.130  0.571  1.0
  O  O24  1  0.248  0.871  0.676  1.0
  O  O25  1  0.122  0.846  0.322  1.0
  O  O26  1  0.536  0.522  0.679  1.0
  O  O27  1  0.140  0.157  0.428  1.0
  O  O28  1  0.808  0.491  0.430  1.0
  O  O29  1  0.997  0.118  0.070  1.0
  O  O30  1  0.949  0.498  0.820  1.0
  O  O31  1  0.258  0.164  0.822  1.0
  O  O32  1  0.208  0.481  0.573  1.0
  O  O33  1  0.756  0.887  0.180  1.0
  O  O34  1  0.972  0.846  0.928  1.0
  O  O35  1  0.865  0.879  0.570  1.0
  O  O36  1  0.044  0.503  0.176  1.0
  O  O37  1  0.918  0.142  0.681  1.0
  O  O38  1  0.434  0.491  0.320  1.0
  O  O39  1  0.767  0.158  0.322  1.0
  O  O40  1  0.709  0.503  0.074  1.0
  O  O41  1  0.473  0.845  0.428  1.0
  O  O42  1  0.382  0.887  0.070  1.0
  O  O43  1  0.371  0.118  0.180  1.0
[/CIF]
.
The structure described by Li5Cr5O12 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(13), one O(16), one O(22), one O(4), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra,  a cornercorner with one Cr(6)O6 octahedra,  a cornercorner with one Cr(7)O6 octahedra,  a cornercorner with one Cr(8)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra,  an edgeedge with one Cr(7)O6 octahedra,  an edgeedge with one Cr(8)O6 octahedra, and edges with three equivalent Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. In the second Li site, Li(2) is bonded to one O(14), one O(17), one O(19), one O(20), one O(24), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Cr(10)O6 octahedra,  a cornercorner with one Cr(6)O6 octahedra,  a cornercorner with one Cr(7)O6 octahedra,  a cornercorner with one Cr(8)O6 octahedra,  a cornercorner with one Cr(9)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Cr(10)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra,  an edgeedge with one Cr(7)O6 octahedra,  an edgeedge with one Cr(8)O6 octahedra,  an edgeedge with one Cr(9)O6 octahedra, and edges with three equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-15°. In the third Li site, Li(3) is bonded to one O(13), one O(16), one O(18), one O(4), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)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, edges with three equivalent Cr(4)O6 octahedra, and edges with three equivalent Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-13°. In the fourth Li site, Li(4) is bonded to one O(10), one O(15), one O(2), one O(21), one O(23), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(10)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(9)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(10)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(9)O6 octahedra, and edges with three equivalent Li(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-15°. In the fifth Li site, Li(5) is bonded to one O(1), one O(11), one O(12), one O(18), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, and edges with three equivalent Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-14°. In the sixth Li site, Li(6) is bonded to one O(1), one O(11), one O(12), one O(18), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra, and edges with three equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. In the seventh Li site, Li(7) is bonded to one O(10), one O(14), one O(17), one O(21), one O(23), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, edges with three equivalent Cr(10)O6 octahedra, and edges with three equivalent Cr(9)O6 octahedra. The corner-sharing octahedral tilt angles are 12°. In the eighth Li site, Li(8) is bonded to one O(13), one O(16), one O(22), one O(4), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  a cornercorner with one Cr(5)O6 octahedra,  a cornercorner with one Cr(6)O6 octahedra,  a cornercorner with one Cr(7)O6 octahedra,  a cornercorner with one Cr(8)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(4)O6 octahedra,  an edgeedge with one Cr(5)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra,  an edgeedge with one Cr(7)O6 octahedra,  an edgeedge with one Cr(8)O6 octahedra, and edges with three equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the ninth Li site, Li(9) is bonded to one O(14), one O(17), one O(19), one O(20), one O(24), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Cr(10)O6 octahedra,  a cornercorner with one Cr(6)O6 octahedra,  a cornercorner with one Cr(7)O6 octahedra,  a cornercorner with one Cr(8)O6 octahedra,  a cornercorner with one Cr(9)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Cr(10)O6 octahedra,  an edgeedge with one Cr(6)O6 octahedra,  an edgeedge with one Cr(7)O6 octahedra,  an edgeedge with one Cr(8)O6 octahedra,  an edgeedge with one Cr(9)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. In the tenth Li site, Li(10) is bonded to one O(10), one O(15), one O(2), one O(21), one O(23), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(10)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(9)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(10)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Cr(9)O6 octahedra, and edges with three equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. There are ten inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(11), one O(12), one O(15), one O(2), and one O(3) atom to form CrO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  an edgeedge with one Li(10)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, edges with three equivalent Cr(2)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-11°. In the second Cr site, Cr(2) is bonded to one O(1), one O(11), one O(12), one O(15), one O(2), and one O(3) atom to form CrO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  an edgeedge with one Li(10)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, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(12), one O(15), one O(2), and one O(3) atom to form CrO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  an edgeedge with one Li(10)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, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-11°. In the fourth Cr site, Cr(4) is bonded to one O(13), one O(16), one O(18), one O(4), one O(5), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)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, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Cr(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-14°. In the fifth Cr site, Cr(5) is bonded to one O(13), one O(16), one O(18), one O(4), one O(5), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)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, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-14°. In the sixth Cr site, Cr(6) is bonded to one O(19), one O(20), one O(22), one O(6), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, edges with three equivalent Cr(7)O6 octahedra, and edges with three equivalent Cr(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. In the seventh Cr site, Cr(7) is bonded to one O(19), one O(20), one O(22), one O(6), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, edges with three equivalent Cr(6)O6 octahedra, and edges with three equivalent Cr(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the eighth Cr site, Cr(8) is bonded to one O(19), one O(20), one O(22), one O(6), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, edges with three equivalent Cr(6)O6 octahedra, and edges with three equivalent Cr(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-11°. In the ninth Cr site, Cr(9) is bonded to one O(10), one O(14), one O(17), one O(21), one O(23), and one O(24) atom to form CrO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, edges with three equivalent Li(7)O6 octahedra, and edges with three equivalent Cr(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-15°. In the tenth Cr site, Cr(10) is bonded to one O(10), one O(14), one O(17), one O(21), one O(23), and one O(24) atom to form CrO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra, edges with three equivalent Li(7)O6 octahedra, and edges with three equivalent Cr(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-15°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Li(5), one Li(6), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(11)Li2Cr3 square pyramid,  a cornercorner with one O(12)Li2Cr3 square pyramid,  a cornercorner with one O(15)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid, corners with two equivalent O(18)Li3Cr2 square pyramids, corners with two equivalent O(5)Li3Cr2 square pyramids,  an edgeedge with one O(15)Li2Cr3 square pyramid,  an edgeedge with one O(2)Li2Cr3 square pyramid,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(7)Li3Cr2 square pyramid, edges with two equivalent O(11)Li2Cr3 square pyramids, and edges with two equivalent O(12)Li2Cr3 square pyramids. In the second O site, O(2) is bonded to one Li(10), one Li(4), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(11)Li2Cr3 square pyramid,  a cornercorner with one O(12)Li2Cr3 square pyramid,  a cornercorner with one O(15)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid, corners with two equivalent O(10)Li3Cr2 square pyramids, corners with two equivalent O(21)Li3Cr2 square pyramids,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(11)Li2Cr3 square pyramid,  an edgeedge with one O(12)Li2Cr3 square pyramid,  an edgeedge with one O(23)Li3Cr2 square pyramid, edges with two equivalent O(15)Li2Cr3 square pyramids, and edges with two equivalent O(3)Li2Cr3 square pyramids. In the third O site, O(3) is bonded to one Li(10), one Li(4), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(11)Li2Cr3 square pyramid,  a cornercorner with one O(12)Li2Cr3 square pyramid,  a cornercorner with one O(15)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid, corners with two equivalent O(10)Li3Cr2 square pyramids, corners with two equivalent O(23)Li3Cr2 square pyramids,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(11)Li2Cr3 square pyramid,  an edgeedge with one O(12)Li2Cr3 square pyramid,  an edgeedge with one O(21)Li3Cr2 square pyramid, edges with two equivalent O(15)Li2Cr3 square pyramids, and edges with two equivalent O(2)Li2Cr3 square pyramids. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Li(8), one Cr(4), and one Cr(5) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(13)Li3Cr2 square pyramid,  a cornercorner with one O(16)Li3Cr2 square pyramid,  a cornercorner with one O(18)Li3Cr2 square pyramid,  a cornercorner with one O(5)Li3Cr2 square pyramid,  a cornercorner with one O(7)Li3Cr2 square pyramid, corners with two equivalent O(8)Li2Cr3 square pyramids, corners with two equivalent O(9)Li2Cr3 square pyramids,  an edgeedge with one O(22)Li2Cr3 square pyramid,  an edgeedge with one O(18)Li3Cr2 square pyramid,  an edgeedge with one O(5)Li3Cr2 square pyramid,  an edgeedge with one O(7)Li3Cr2 square pyramid, edges with two equivalent O(13)Li3Cr2 square pyramids, and edges with two equivalent O(16)Li3Cr2 square pyramids. In the fifth O site, O(5) is bonded to one Li(3), one Li(5), one Li(6), one Cr(4), and one Cr(5) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(13)Li3Cr2 square pyramid,  a cornercorner with one O(16)Li3Cr2 square pyramid,  a cornercorner with one O(18)Li3Cr2 square pyramid,  a cornercorner with one O(4)Li3Cr2 square pyramid,  a cornercorner with one O(7)Li3Cr2 square pyramid, corners with two equivalent O(1)Li2Cr3 square pyramids, corners with two equivalent O(12)Li2Cr3 square pyramids,  an edgeedge with one O(11)Li2Cr3 square pyramid,  an edgeedge with one O(13)Li3Cr2 square pyramid,  an edgeedge with one O(16)Li3Cr2 square pyramid,  an edgeedge with one O(4)Li3Cr2 square pyramid, edges with two equivalent O(18)Li3Cr2 square pyramids, and edges with two equivalent O(7)Li3Cr2 square pyramids. In the sixth O site, O(6) is bonded to one Li(2), one Li(9), one Cr(6), one Cr(7), and one Cr(8) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(19)Li2Cr3 square pyramid,  a cornercorner with one O(20)Li2Cr3 square pyramid,  a cornercorner with one O(22)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid,  a cornercorner with one O(9)Li2Cr3 square pyramid, corners with two equivalent O(14)Li3Cr2 square pyramids, corners with two equivalent O(17)Li3Cr2 square pyramids,  an edgeedge with one O(22)Li2Cr3 square pyramid,  an edgeedge with one O(8)Li2Cr3 square pyramid,  an edgeedge with one O(9)Li2Cr3 square pyramid,  an edgeedge with one O(24)Li3Cr2 square pyramid, edges with two equivalent O(19)Li2Cr3 square pyramids, and edges with two equivalent O(20)Li2Cr3 square pyramids. In the seventh O site, O(7) is bonded to one Li(3), one Li(5), one Li(6), one Cr(4), and one Cr(5) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(13)Li3Cr2 square pyramid,  a cornercorner with one O(16)Li3Cr2 square pyramid,  a cornercorner with one O(18)Li3Cr2 square pyramid,  a cornercorner with one O(4)Li3Cr2 square pyramid,  a cornercorner with one O(5)Li3Cr2 square pyramid, corners with two equivalent O(11)Li2Cr3 square pyramids, corners with two equivalent O(12)Li2Cr3 square pyramids,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(13)Li3Cr2 square pyramid,  an edgeedge with one O(16)Li3Cr2 square pyramid,  an edgeedge with one O(4)Li3Cr2 square pyramid, edges with two equivalent O(18)Li3Cr2 square pyramids, and edges with two equivalent O(5)Li3Cr2 square pyramids. In the eighth O site, O(8) is bonded to one Li(1), one Li(8), one Cr(6), one Cr(7), and one Cr(8) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(19)Li2Cr3 square pyramid,  a cornercorner with one O(20)Li2Cr3 square pyramid,  a cornercorner with one O(22)Li2Cr3 square pyramid,  a cornercorner with one O(6)Li2Cr3 square pyramid,  a cornercorner with one O(9)Li2Cr3 square pyramid, corners with two equivalent O(13)Li3Cr2 square pyramids, corners with two equivalent O(4)Li3Cr2 square pyramids,  an edgeedge with one O(19)Li2Cr3 square pyramid,  an edgeedge with one O(20)Li2Cr3 square pyramid,  an edgeedge with one O(6)Li2Cr3 square pyramid,  an edgeedge with one O(16)Li3Cr2 square pyramid, edges with two equivalent O(22)Li2Cr3 square pyramids, and edges with two equivalent O(9)Li2Cr3 square pyramids. In the ninth O site, O(9) is bonded to one Li(1), one Li(8), one Cr(6), one Cr(7), and one Cr(8) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(19)Li2Cr3 square pyramid,  a cornercorner with one O(20)Li2Cr3 square pyramid,  a cornercorner with one O(22)Li2Cr3 square pyramid,  a cornercorner with one O(6)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid, corners with two equivalent O(16)Li3Cr2 square pyramids, corners with two equivalent O(4)Li3Cr2 square pyramids,  an edgeedge with one O(19)Li2Cr3 square pyramid,  an edgeedge with one O(20)Li2Cr3 square pyramid,  an edgeedge with one O(6)Li2Cr3 square pyramid,  an edgeedge with one O(13)Li3Cr2 square pyramid, edges with two equivalent O(22)Li2Cr3 square pyramids, and edges with two equivalent O(8)Li2Cr3 square pyramids. In the tenth O site, O(10) is bonded to one Li(10), one Li(4), one Li(7), one Cr(10), and one Cr(9) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(14)Li3Cr2 square pyramid,  a cornercorner with one O(17)Li3Cr2 square pyramid,  a cornercorner with one O(21)Li3Cr2 square pyramid,  a cornercorner with one O(23)Li3Cr2 square pyramid,  a cornercorner with one O(24)Li3Cr2 square pyramid, corners with two equivalent O(2)Li2Cr3 square pyramids, corners with two equivalent O(3)Li2Cr3 square pyramids,  an edgeedge with one O(15)Li2Cr3 square pyramid,  an edgeedge with one O(14)Li3Cr2 square pyramid,  an edgeedge with one O(17)Li3Cr2 square pyramid,  an edgeedge with one O(24)Li3Cr2 square pyramid, edges with two equivalent O(21)Li3Cr2 square pyramids, and edges with two equivalent O(23)Li3Cr2 square pyramids. In the eleventh O site, O(11) is bonded to one Li(5), one Li(6), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(12)Li2Cr3 square pyramid,  a cornercorner with one O(15)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid, corners with two equivalent O(18)Li3Cr2 square pyramids, corners with two equivalent O(7)Li3Cr2 square pyramids,  an edgeedge with one O(15)Li2Cr3 square pyramid,  an edgeedge with one O(2)Li2Cr3 square pyramid,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(5)Li3Cr2 square pyramid, edges with two equivalent O(1)Li2Cr3 square pyramids, and edges with two equivalent O(12)Li2Cr3 square pyramids. In the twelfth O site, O(12) is bonded to one Li(5), one Li(6), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(11)Li2Cr3 square pyramid,  a cornercorner with one O(15)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid, corners with two equivalent O(5)Li3Cr2 square pyramids, corners with two equivalent O(7)Li3Cr2 square pyramids,  an edgeedge with one O(15)Li2Cr3 square pyramid,  an edgeedge with one O(2)Li2Cr3 square pyramid,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(18)Li3Cr2 square pyramid, edges with two equivalent O(1)Li2Cr3 square pyramids, and edges with two equivalent O(11)Li2Cr3 square pyramids. In the thirteenth O site, O(13) is bonded to one Li(1), one Li(3), one Li(8), one Cr(4), and one Cr(5) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(16)Li3Cr2 square pyramid,  a cornercorner with one O(18)Li3Cr2 square pyramid,  a cornercorner with one O(4)Li3Cr2 square pyramid,  a cornercorner with one O(5)Li3Cr2 square pyramid,  a cornercorner with one O(7)Li3Cr2 square pyramid, corners with two equivalent O(22)Li2Cr3 square pyramids, corners with two equivalent O(8)Li2Cr3 square pyramids,  an edgeedge with one O(9)Li2Cr3 square pyramid,  an edgeedge with one O(18)Li3Cr2 square pyramid,  an edgeedge with one O(5)Li3Cr2 square pyramid,  an edgeedge with one O(7)Li3Cr2 square pyramid, edges with two equivalent O(16)Li3Cr2 square pyramids, and edges with two equivalent O(4)Li3Cr2 square pyramids. In the fourteenth O site, O(14) is bonded to one Li(2), one Li(7), one Li(9), one Cr(10), and one Cr(9) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(10)Li3Cr2 square pyramid,  a cornercorner with one O(17)Li3Cr2 square pyramid,  a cornercorner with one O(21)Li3Cr2 square pyramid,  a cornercorner with one O(23)Li3Cr2 square pyramid,  a cornercorner with one O(24)Li3Cr2 square pyramid, corners with two equivalent O(19)Li2Cr3 square pyramids, corners with two equivalent O(6)Li2Cr3 square pyramids,  an edgeedge with one O(20)Li2Cr3 square pyramid,  an edgeedge with one O(10)Li3Cr2 square pyramid,  an edgeedge with one O(21)Li3Cr2 square pyramid,  an edgeedge with one O(23)Li3Cr2 square pyramid, edges with two equivalent O(17)Li3Cr2 square pyramids, and edges with two equivalent O(24)Li3Cr2 square pyramids. In the fifteenth O site, O(15) is bonded to one Li(10), one Li(4), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(1)Li2Cr3 square pyramid,  a cornercorner with one O(11)Li2Cr3 square pyramid,  a cornercorner with one O(12)Li2Cr3 square pyramid,  a cornercorner with one O(2)Li2Cr3 square pyramid,  a cornercorner with one O(3)Li2Cr3 square pyramid, corners with two equivalent O(21)Li3Cr2 square pyramids, corners with two equivalent O(23)Li3Cr2 square pyramids,  an edgeedge with one O(1)Li2Cr3 square pyramid,  an edgeedge with one O(11)Li2Cr3 square pyramid,  an edgeedge with one O(12)Li2Cr3 square pyramid,  an edgeedge with one O(10)Li3Cr2 square pyramid, edges with two equivalent O(2)Li2Cr3 square pyramids, and edges with two equivalent O(3)Li2Cr3 square pyramids. In the sixteenth O site, O(16) is bonded to one Li(1), one Li(3), one Li(8), one Cr(4), and one Cr(5) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(13)Li3Cr2 square pyramid,  a cornercorner with one O(18)Li3Cr2 square pyramid,  a cornercorner with one O(4)Li3Cr2 square pyramid,  a cornercorner with one O(5)Li3Cr2 square pyramid,  a cornercorner with one O(7)Li3Cr2 square pyramid, corners with two equivalent O(22)Li2Cr3 square pyramids, corners with two equivalent O(9)Li2Cr3 square pyramids,  an edgeedge with one O(8)Li2Cr3 square pyramid,  an edgeedge with one O(18)Li3Cr2 square pyramid,  an edgeedge with one O(5)Li3Cr2 square pyramid,  an edgeedge with one O(7)Li3Cr2 square pyramid, edges with two equivalent O(13)Li3Cr2 square pyramids, and edges with two equivalent O(4)Li3Cr2 square pyramids. In the seventeenth O site, O(17) is bonded to one Li(2), one Li(7), one Li(9), one Cr(10), and one Cr(9) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(10)Li3Cr2 square pyramid,  a cornercorner with one O(14)Li3Cr2 square pyramid,  a cornercorner with one O(21)Li3Cr2 square pyramid,  a cornercorner with one O(23)Li3Cr2 square pyramid,  a cornercorner with one O(24)Li3Cr2 square pyramid, corners with two equivalent O(20)Li2Cr3 square pyramids, corners with two equivalent O(6)Li2Cr3 square pyramids,  an edgeedge with one O(19)Li2Cr3 square pyramid,  an edgeedge with one O(10)Li3Cr2 square pyramid,  an edgeedge with one O(21)Li3Cr2 square pyramid,  an edgeedge with one O(23)Li3Cr2 square pyramid, edges with two equivalent O(14)Li3Cr2 square pyramids, and edges with two equivalent O(24)Li3Cr2 square pyramids. In the eighteenth O site, O(18) is bonded to one Li(3), one Li(5), one Li(6), one Cr(4), and one Cr(5) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(13)Li3Cr2 square pyramid,  a cornercorner with one O(16)Li3Cr2 square pyramid,  a cornercorner with one O(4)Li3Cr2 square pyramid,  a cornercorner with one O(5)Li3Cr2 square pyramid,  a cornercorner with one O(7)Li3Cr2 square pyramid, corners with two equivalent O(1)Li2Cr3 square pyramids, corners with two equivalent O(11)Li2Cr3 square pyramids,  an edgeedge with one O(12)Li2Cr3 square pyramid,  an edgeedge with one O(13)Li3Cr2 square pyramid,  an edgeedge with one O(16)Li3Cr2 square pyramid,  an edgeedge with one O(4)Li3Cr2 square pyramid, edges with two equivalent O(5)Li3Cr2 square pyramids, and edges with two equivalent O(7)Li3Cr2 square pyramids. In the nineteenth O site, O(19) is bonded to one Li(2), one Li(9), one Cr(6), one Cr(7), and one Cr(8) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(20)Li2Cr3 square pyramid,  a cornercorner with one O(22)Li2Cr3 square pyramid,  a cornercorner with one O(6)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid,  a cornercorner with one O(9)Li2Cr3 square pyramid, corners with two equivalent O(14)Li3Cr2 square pyramids, corners with two equivalent O(24)Li3Cr2 square pyramids,  an edgeedge with one O(22)Li2Cr3 square pyramid,  an edgeedge with one O(8)Li2Cr3 square pyramid,  an edgeedge with one O(9)Li2Cr3 square pyramid,  an edgeedge with one O(17)Li3Cr2 square pyramid, edges with two equivalent O(20)Li2Cr3 square pyramids, and edges with two equivalent O(6)Li2Cr3 square pyramids. In the twentieth O site, O(20) is bonded to one Li(2), one Li(9), one Cr(6), one Cr(7), and one Cr(8) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(19)Li2Cr3 square pyramid,  a cornercorner with one O(22)Li2Cr3 square pyramid,  a cornercorner with one O(6)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid,  a cornercorner with one O(9)Li2Cr3 square pyramid, corners with two equivalent O(17)Li3Cr2 square pyramids, corners with two equivalent O(24)Li3Cr2 square pyramids,  an edgeedge with one O(22)Li2Cr3 square pyramid,  an edgeedge with one O(8)Li2Cr3 square pyramid,  an edgeedge with one O(9)Li2Cr3 square pyramid,  an edgeedge with one O(14)Li3Cr2 square pyramid, edges with two equivalent O(19)Li2Cr3 square pyramids, and edges with two equivalent O(6)Li2Cr3 square pyramids. In the twenty-first O site, O(21) is bonded to one Li(10), one Li(4), one Li(7), one Cr(10), and one Cr(9) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(10)Li3Cr2 square pyramid,  a cornercorner with one O(14)Li3Cr2 square pyramid,  a cornercorner with one O(17)Li3Cr2 square pyramid,  a cornercorner with one O(23)Li3Cr2 square pyramid,  a cornercorner with one O(24)Li3Cr2 square pyramid, corners with two equivalent O(15)Li2Cr3 square pyramids, corners with two equivalent O(2)Li2Cr3 square pyramids,  an edgeedge with one O(3)Li2Cr3 square pyramid,  an edgeedge with one O(14)Li3Cr2 square pyramid,  an edgeedge with one O(17)Li3Cr2 square pyramid,  an edgeedge with one O(24)Li3Cr2 square pyramid, edges with two equivalent O(10)Li3Cr2 square pyramids, and edges with two equivalent O(23)Li3Cr2 square pyramids. In the twenty-second O site, O(22) is bonded to one Li(1), one Li(8), one Cr(6), one Cr(7), and one Cr(8) atom to form OLi2Cr3 square pyramids that share  a cornercorner with one O(19)Li2Cr3 square pyramid,  a cornercorner with one O(20)Li2Cr3 square pyramid,  a cornercorner with one O(6)Li2Cr3 square pyramid,  a cornercorner with one O(8)Li2Cr3 square pyramid,  a cornercorner with one O(9)Li2Cr3 square pyramid, corners with two equivalent O(13)Li3Cr2 square pyramids, corners with two equivalent O(16)Li3Cr2 square pyramids,  an edgeedge with one O(19)Li2Cr3 square pyramid,  an edgeedge with one O(20)Li2Cr3 square pyramid,  an edgeedge with one O(6)Li2Cr3 square pyramid,  an edgeedge with one O(4)Li3Cr2 square pyramid, edges with two equivalent O(8)Li2Cr3 square pyramids, and edges with two equivalent O(9)Li2Cr3 square pyramids. In the twenty-third O site, O(23) is bonded to one Li(10), one Li(4), one Li(7), one Cr(10), and one Cr(9) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(10)Li3Cr2 square pyramid,  a cornercorner with one O(14)Li3Cr2 square pyramid,  a cornercorner with one O(17)Li3Cr2 square pyramid,  a cornercorner with one O(21)Li3Cr2 square pyramid,  a cornercorner with one O(24)Li3Cr2 square pyramid, corners with two equivalent O(15)Li2Cr3 square pyramids, corners with two equivalent O(3)Li2Cr3 square pyramids,  an edgeedge with one O(2)Li2Cr3 square pyramid,  an edgeedge with one O(14)Li3Cr2 square pyramid,  an edgeedge with one O(17)Li3Cr2 square pyramid,  an edgeedge with one O(24)Li3Cr2 square pyramid, edges with two equivalent O(10)Li3Cr2 square pyramids, and edges with two equivalent O(21)Li3Cr2 square pyramids. In the twenty-fourth O site, O(24) is bonded to one Li(2), one Li(7), one Li(9), one Cr(10), and one Cr(9) atom to form OLi3Cr2 square pyramids that share  a cornercorner with one O(10)Li3Cr2 square pyramid,  a cornercorner with one O(14)Li3Cr2 square pyramid,  a cornercorner with one O(17)Li3Cr2 square pyramid,  a cornercorner with one O(21)Li3Cr2 square pyramid,  a cornercorner with one O(23)Li3Cr2 square pyramid, corners with two equivalent O(19)Li2Cr3 square pyramids, corners with two equivalent O(20)Li2Cr3 square pyramids,  an edgeedge with one O(6)Li2Cr3 square pyramid,  an edgeedge with one O(10)Li3Cr2 square pyramid,  an edgeedge with one O(21)Li3Cr2 square pyramid,  an edgeedge with one O(23)Li3Cr2 square pyramid, edges with two equivalent O(14)Li3Cr2 square pyramids, and edges with two equivalent O(17)Li3Cr2 square pyramids. is represented by the CIF file [CIF]
data_Li5Cr5O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.068
_cell_length_b   5.087
_cell_length_c   19.526
_cell_angle_alpha   87.810
_cell_angle_beta   94.561
_cell_angle_gamma   119.723
_symmetry_Int_Tables_number   1
_cell_volume   435.825
_cell_formula_units_Z   2
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  0.158  0.828  0.502  1.0
  Li  Li1  1  0.097  0.178  0.247  1.0
  Li  Li2  1  0.866  0.495  0.625  1.0
  Li  Li3  1  0.654  0.822  0.002  1.0
  Li  Li4  1  0.911  0.821  0.749  1.0
  Li  Li5  1  0.236  0.491  0.749  1.0
  Li  Li6  1  0.376  0.503  0.125  1.0
  Li  Li7  1  0.831  0.177  0.501  1.0
  Li  Li8  1  0.418  0.824  0.247  1.0
  Li  Li9  1  0.332  0.179  0.002  1.0
  Cr  Cr10  1  0.626  0.496  0.875  1.0
  Cr  Cr11  1  0.954  0.165  0.875  1.0
  Cr  Cr12  1  0.291  0.830  0.875  1.0
  Cr  Cr13  1  0.215  0.174  0.625  1.0
  Cr  Cr14  1  0.558  0.841  0.625  1.0
  Cr  Cr15  1  0.124  0.498  0.375  1.0
  Cr  Cr16  1  0.459  0.168  0.375  1.0
  Cr  Cr17  1  0.788  0.826  0.375  1.0
  Cr  Cr18  1  0.709  0.170  0.125  1.0
  Cr  Cr19  1  0.043  0.836  0.125  1.0
  O  O20  1  0.613  0.831  0.821  1.0
  O  O21  1  0.643  0.158  0.928  1.0
  O  O22  1  0.308  0.490  0.930  1.0
  O  O23  1  0.498  0.130  0.571  1.0
  O  O24  1  0.248  0.871  0.676  1.0
  O  O25  1  0.122  0.846  0.322  1.0
  O  O26  1  0.536  0.522  0.679  1.0
  O  O27  1  0.140  0.157  0.428  1.0
  O  O28  1  0.808  0.491  0.430  1.0
  O  O29  1  0.997  0.118  0.070  1.0
  O  O30  1  0.949  0.498  0.820  1.0
  O  O31  1  0.258  0.164  0.822  1.0
  O  O32  1  0.208  0.481  0.573  1.0
  O  O33  1  0.756  0.887  0.180  1.0
  O  O34  1  0.972  0.846  0.928  1.0
  O  O35  1  0.865  0.879  0.570  1.0
  O  O36  1  0.044  0.503  0.176  1.0
  O  O37  1  0.918  0.142  0.681  1.0
  O  O38  1  0.434  0.491  0.320  1.0
  O  O39  1  0.767  0.158  0.322  1.0
  O  O40  1  0.709  0.503  0.074  1.0
  O  O41  1  0.473  0.845  0.428  1.0
  O  O42  1  0.382  0.887  0.070  1.0
  O  O43  1  0.371  0.118  0.180  1.0
[/CIF]
.